diplom - uni-mainz.de · "!$#&% ' ( *),+ -/./+ /00 1( 32547698;:= + '0 ?# [ _7`...

84

Upload: others

Post on 21-Aug-2020

0 views

Category:

Documents


0 download

TRANSCRIPT

Page 1: diplom - uni-mainz.de · "!$#&% ' ( *),+ -/./+ /00 1( 32547698;:= + '0 ?# [ _7` bdc e"gfivebs[\fihhqadgwzrsr@fih ]"b@f 4 ufib@qkvp n xyf]"fivqdgqevmn h xyf 7 4n vk d7pi ¹]"fih²¿.wyve[0o

! "# $%$&'( &) +*,-.&/ .10.&

, ! &/ ! "324&/ 56"07 8 5.&3$/&39

:$;=</>=?@BADCEFG;IHJ ?K

LNM/?CO5HPFGKRQ$AS@@FG>T FGEVUWAD@ XZY[U\XZY[U^]`_YDXa;^Kcbd;^FGOeEWADf/FGK

ghK/O5Hi;IHPj'HlknmjoCqpqFGCK/</MZr'O;=stZ?MWADK/K/FGOu4j'HPFGKvE#FGC Twyx Ko; J FGCO;zHSmAH$|RAD;^K/

~ sZHP?E#FGC4]`__

Page 2: diplom - uni-mainz.de · "!$#&% ' ( *),+ -/./+ /00 1( 32547698;:= + '0 ?# [ _7` bdc e"gfivebs[\fihhqadgwzrsr@fih ]"b@f 4 ufib@qkvp n xyf]"fivqdgqevmn h xyf 7 4n vk d7pi ¹]"fih²¿.wyve[0o

!"$#&%(' )

* +,.-0/214357689!":&;<!"# 1=">@? ACB$DEDGFIH4DKJMLNPOQERSB$JML.F&DUTVKWYXZVMN&[\[^]"F&D_a`bdcfehgFIVKB@[\FIHhQMDjikikikilikikikiki `=">m= ce"gFIVEBS[\FnH"QEFIRSR@FID9oWYH.pnFIg.Qaikilikikikikiliqilikikikikilikikikikilikikikiki r

) +!":tsu%;<vw-Ix#zy,"#&-I;<w S#Pw: |">@? ~.[\B@H.WDBSQPNQikikikilikikikikilikikikikiliqilikikikikilikikikikilikikikiki?I">m= [email protected] ikikikilikikikikilikikikikiliqilikikikikilikikikikilikikikiki?Y?">m _7H"OWZVM]"FnVK.H.XZFIH ikilikikikikilikikikikiliqilikikikikilikikikikilikikikiki?I

">m">@? dHhQKFnXYVKB@FIVKQEF~.[\[email protected] ikikiliqilikikikikilikikikikilikikikiki?I">m">m= dHhQKFnXYVKB@FIVKQEFkNY]"V5NQEB$DKJML.F~.[\[email protected] NQ<ikikilikikikikilikikikiki?I">m">m 7N&.[[email protected]@FFI"QEFilikikikikiliqilikikikikilikikikikilikikikiki=Y=

">` QEVKFI.gVKWYpnF&DKDFlpn.V~.[\[email protected] N&QMD[\F&DKD.H.X ikikikikilikikikikilikikikiki=`">`.>@? _DGh[\[\FIQEVKBFIHB@H]hFIHQKVEFI.g.VEWYpIF&DEDGFIH ikikilikikikikilikikikiki=`">`.>m= cfRNYDQKB$DEJLFQKVKFn..H.X ikikikikiliqilikikikikilikikikikilikikikiki=`">`.>m RSR@FIVMDQKVEFI..H.Xikikilikikikikiliqilikikikikilikikikikilikikikiki=zr">`.>` 7FPDKN[tQKV5NQEFikikikikilikikikikiliqilikikikikilikikikikilikikikiki=Y

">m¡ A¢NL.R]"F&D£7FnQKFIhQKWZVMD7ikikikikilikikikikiliqilikikikikilikikikikilikikikiki"?

1 ¤kw:&-#&%¥ !"C%¥C#M¦t%:§!"!"-¨l:&w.#&w.#M©89!" )ª*`.>@? cVMDQKFIVq«(FPDGQMN&"O¬N&.H]­ag.QEBS[\[email protected]]"F&D£aFIQKFIhQKWZVM]"FPDGBSXZHDilikikikikiY=`.>m= B@[0.RNQEBSWYH®]"F&DuFIVENVEQKFIQEFIH_7HhuWZVKQE¯FIVKLN&RSQEFIHDu]hF&DTVKWYQEWYQhgFnH°ikikikizr

`.>m=">@? _7H"QUWYVKQE¯FIVKL4NRSQEFIH\¬FIB]"B@VKFIhQKFn[±cfB@HDKJMLh.²ilikikikikilikikikikizr`.>m=">m= _7H"QUWYVKQE¯FIVKL4NRSQEFIH\[\B@QU« N&VKXYFnQ³iqilikikikikilikikikikilikikikiki´`.?

`.>m QEVMNLRSFIHh¬FIR$NZDGQKH.Xtilikikikikilikikikikiliqilikikikikilikikikikilikikikiki´`¡

µ 7689!":&;<!"#&!v!:/2%¶§E·,.% 1¸¡">@? £7FIVaTVEWYQKWZQ"g¹]"F&D7~.[\[email protected][\WYHBSQKWZVMDºikikikikilikikikikilikikikiki´`»¡">m= _7"O¬4NH][email protected]¼ikikilikikikikiliqilikikikikilikikikikilikikikiki¡Y

¸ ½!"-I-n% ¾'!"C% ¥Cq:P'!h· -I-I! µ)»">@? F&DEDG.H.XZFIH[2BSQU]"FI[^_aRS.[\[email protected][bd« N&VKXZFIQ ikikikikilikikikikilikikikiki¡Y»">m= F&DEDG.H.XZFIH[2BSQU]"FI[jA¢NYDEDGFIV5DGQEWb«NVEXYFIQ ikikikikilikikikikilikikikiki»"?»">m ¿.WY.VEBSFIV5NHN&RSDGF]"FIVaFPDKDGH.XYFIHikikikiliqilikikikikilikikikikilikikikiki»Y¡

À Á %-I,.;<;<!"ª§E,.-n-I% ¾'¢ÂÃ/\%-I· ÄÅ ¸Æ

/ ÇÈ !":&!h Åwɾ3M7ÊU!hŪ# ÀË

Ì ¨kÍ w.#&w;²% $#&8 v!h:I3M+,"#&!h À )

?

Page 3: diplom - uni-mainz.de · "!$#&% ' ( *),+ -/./+ /00 1( 32547698;:= + '0 ?# [ _7` bdc e"gfivebs[\fihhqadgwzrsr@fih ]"b@f 4 ufib@qkvp n xyf]"fivqdgqevmn h xyf 7 4n vk d7pi ¹]"fih²¿.wyve[0o

È !"Ū#&:&wvÅ À 1

+ ¨7w,.:&v-n,"#&wC¥!h-u,.:I'!z#P- À |

=

Page 4: diplom - uni-mainz.de · "!$#&% ' ( *),+ -/./+ /00 1( 32547698;:= + '0 ?# [ _7` bdc e"gfivebs[\fihhqadgwzrsr@fih ]"b@f 4 ufib@qkvp n xyf]"fivqdgqevmn h xyf 7 4n vk d7pi ¹]"fih²¿.wyve[0o

II

[^aNL.[\FnH]hFIVk?I Z "?XYFIXZVZ.H4]"FIQKFnHoWYR@R$N¬WZVMNQEBSWZH_7`tB$DQN&[ºcR@FI"QEVKWZH.FIHh¬FPDKJML.RSFIhbH.B@XYFIV2_ [email protected]@"VEWYQKVEWYH ]"FIVEpIFIB@QFIB@HCce"gFIVEBS[\FnH"QBS[ _7hO¬NU].NZD\]"BSFgN&VKBSQPNQ5DG¯FIVERSFIQEpIFIH]"Fa_qDGh[\[\FIQEVKBFuB@H]"FIVUcRSFIhQKVEWYHDQKVEFI..H.XtN&[jTVEWYQKWZH[\F&DKDFIHtBSRSR.[ ]"B@F uFIBSQEV&N&XYF2]"FIVQKV5NH.XZFb74NVKDlpn ]"FnH ¿.WYVE[0O NhQKWZVKFIH²]hF&D7.hRSFIWZHDpI ¬FbDGQEBS[\[2FIH¾> [aNVEzbdTNVEQKWZH"bWh]hFIRSR¾QEVMNXZFIHaRSWYH.FIH2.H]FnF&z4NVKD UF&DGFnH"QERSB$JMLpn.V7QEVK.hQKV]"F&D7.hRSFIWZHD ¬FIB >ª£qN¬FIB9uFIV5]"FIH¹]"BSF uFIBSQEV NXZF]"FnVaNVENI¯WZ.VMD7pn²]"FIH7.hRSFnWbH.FIHhOWYVK[tO NhQKWYVEFIH2NR$DuV N.[[email protected]@FIVKQn>N&VQKV N&XYQa].NZDTVKWYQEWYHH.FIQEQKW¼FIBSH.F\QKVMN&H.XYFnH.F&DKD! "N&¬FnVBS[$#YFnF&%t WZH.H.FIH ¯hBSVEQK.FnRSRSF'('nbdTNZNVKF2¯WYVGbLN&H]"FIHDFIBSH¶>"N[\RSBJL¯FIVMDEJL.B@F&]"FIHF)'nb.H]*('[email protected]]"FIVFIFPzN&VKD LN&QKQEFIH].N&H.HH.BJLhQu¯FnVMDKJMLhBSH]"FnH]"F uFIBSQEV&NXZFpI¼]"FIH¹¿.WYVK[tO NhQKWYVEFIH\pIVa¿4WZRSXZF>£7B@F BSQENQEBSWYHCBDGQ\¯FnVKXYR@FIB$JMLh¬NV[\B@Qt]"FI[ FIRSFIhQKVEB$DEJL.FnH°¿.WZVK[0O N&"QEWYV2]"F&D,7Fn.QKVEWYHD >£7B@F&DGF&DkLNQpIN&[email protected]$NY]h.H.X-/. 01KFP]"WhJL¢uFIBDGQFPD FnBSH.FIH²FIR@FI"QEVKBDKJML.FIH~NY]h.H.XDVMNZ]"BSDa.H]\FIBSHt[N&XYH.FIQEB$DEJL.FPD WZ[\FIHhQUN"OhL.FIVK¯WZVKXZFIVK"OFnH]".V5JL\VPN.[2RSB$JML¯FIV5DKJML.BSF&]hFIH.F) FnVKQKFnBSRSH.XYFIHt¯WYHgWDBSQEBS¯FIH.H]\H.FnXNQEBS¯FIH~NZ]".H.XZFIH¾>£7B@F7FIehgFIVKB@[\[email protected]]"Fa¬F&DGQEFILhQ B@H\]hFIV2 uF&DGQEBS[\[.HX]"FnV g4NVKB@Q&N&QMDG¯FnVKRSFnQKpIFIH4]"FIH_D"[\[2FIQVKBSFBSH2]"FIV3N&L.RSV5NQKFq]"FIVFIR$NZDGQKBDKJML.FIH\QEVKFI.H.Xk¯WYHVEF&JLhQMD b¾.H4][email protected]&H]"B@[email protected]¼.H.gWYRNVKBDGB@FIVKQEFI[A NZDKDFIVMDQKW>£7BSFPDGF4NL.R@VMN&QKF[t.N&"O]"B@FuXYFn[\F&DKDFIH.F~.[\[email protected][\BSFIVEQ¾uFIV5]"FIHZ].N]hBSF5a[[email protected]]"[email protected]"bgWYRNVKBDKN&QKBSWZH9FIBSH.F®DGDGQKFn[NQEB$DKJML.F9FIV&N&H]"FIVE.H.X¢NRSR@FIV0QKVMN&L.RSg4NVMN&[\FIQEFIV6BSF¼ H"QEFIH"bDGB@Q&N&Q6hcH.FIVKXZBSF7hQKV5NL.R@R$NXZF.H]b BSH.FIR.H]\].N&[\BSQFIBSH.FaD.DQKFI[®NQKBDKJML.F39FIVPNH]hFIVK.HX]"FIVXZFI[\F&DEDGFIHFIH_D"[\[2FQEVKBSFpn.Va¿.WYRSXZFkLN¬FIH¼¾WZH.H"QEF> [±7N&L.[\FIH2]"B@F&DGFIVU£[email protected][NVE¬FIBSQVM]"FFnBSHTVKWZQKWZQGhg\[email protected]&Du~.[\[email protected][\WYHBSQKWZVMDNhOXYFI¬N&.Qa.H]N&"[email protected]@XYHh.H.XtBS[ ce"gFIVEBS[\FIHhQ9.HhQKFIV5DGJML"Qn>£NZD7pIuFnBSQKFokNgBSQKFnR ¬F&DEJL.VEFIBS¬Qa].NYDFIehgFIVKB@[\FIHhQKF RSRFkoWYH.pnFIg.Qq]"F&Da_7`bdce"gFIVEBS[\FIHhQMD8.H]<F&DBSVM] ].NVEXYFIR@FIXYQ9BSF¼]"B@F QEVMNHXYFIH.FPDKDdOWZVK[0O N&"QEWYVEFIH;:<=/> ? ¬F&DQKBS[2[0QkuFnVM]"FIHDGWZRSR@FIH¾>£NYDk]"VEBSQKQEFokNgBSQKFnRDQKFIR@RSQa]"B@F_7H"OWZVM]"FnVK.H.XZFIH²NH¢]"FIH¹WYH.B@QKWZV6¾].NZDlaVK.H4]zbWYHpIFIg.QU]"FIV~.[2BSH.WDGBSQPNQ5DG[\F&DEDG.HX.H]\]hBSFqcfB@XYFIH4DKJMLNPOQEFIH\]hF&D9£7FIQKFn"QEWYVMD9].N&VI>£7F&DdbuFnBSQKFnVKFIHUFIVM]"FnH\L.BSFnVu]hBSFkaNQEFIH]"FIVU]"WZ[\BSHBSFIVEFIH]"FIH\QKVKFn.g.VKWZpIF&DEDGF7h]"B@Fk]"FIH2£7FIQEFIzbQKWZV7QEVKFFIH@"¬FIVKFPJL.HFIQI>£NZD7¯"[email protected]@QKFIRDQKFIR@RSQUFIVMDQKF«¾F&DQMDADW&BSF]hBSF­ag.QKB@[\BSFIVE.H.X]"F&Da£7FIQEFIhQKWYV5]"F&DBSXYH4D[\B@Q3BaBSR OFa¯WYH¼DCbEBS[[email protected]¯WZV6]"B@FpI.[E N&¼]"F&DTVKWZQKWYQhgFIHFIBSH.FPD ~.[\[email protected]@Q N&QMDG[2WYH.B@QKWYV5D O .L.VEQKFIH¾>cBSH.F uF&DKJML.VEFIBS¬.H.X]"FPD FIehgFIVKB@[\FIHhQKFIR@RFIH\_a"O¬N4DGFH]"FnQ7B@[O .H"OQEFIHokNgBSQKFnRDGQMN&QKQn> [ DGF&JMLDGQEFIHokN&g.BSQEFIR"UFIVM]hFIH]"B@FcVKXZFI¬.H.BDKDF]"FIV¯FIVMDEJL.B@F&]"FIHFIHkF&DEDG.H.XZFIH[\B@Q]"FI[TVKWZQKWYQhgFIH]"BDGh.QKB@FIVKQn>

Page 5: diplom - uni-mainz.de · "!$#&% ' ( *),+ -/./+ /00 1( 32547698;:= + '0 ?# [ _7` bdc e"gfivebs[\fihhqadgwzrsr@fih ]"b@f 4 ufib@qkvp n xyf]"fivqdgqevmn h xyf 7 4n vk d7pi ¹]"fih²¿.wyve[0o

"!$#&%'(*),+-/./+ /00 1(32547698;:=<>+'0?# [_7`bdce"gFIVEBS[\FIHhQaDGWZRSR@FIH]"B@F4 uFIB@QKVPNXYF ]"FIVqDGQEVMNHXYF74NVKD7pI¹]"FIH²¿.WYVE[0O NhQKWZVKFIH]"F&D 7"R@FIWYHD[\BSQEQKFIRDªgNVEBSQ&N&QMD¯FIVKR@FIQKpIFnH]"FIVcRSFn"QEVKWYHFIHDGQEVKFI.H.Xk¯FIVK[2F&DKDFIHkuFIV5]"FIH¾> H ]"FIVFIRNYDGQEB$DEJL.FnH QKVEFI..HX3@BACEDFCHG [email protected] FIBSHcR@FI"QEVKWZH HB$JML"Q¼H".VFnRSFIhQKVEWY[NIbXYHFIQKBDKJML²]".VMJML,J.b_aDGQ5NDEJL²[\BSQq]"FI[ TVEWYQKWZH UF&JMLDGFIR@BSVEFIHDGWZH]"FIVEH DQKFIQ5DkNJMLDKJMLhNYJMLt]".V5JLt]hFIH\_aDGQ5NDEJLtFIBSHF&D .LKb/ uWDGWYH4D>.£aFIV9ACBSVKh.H.XDK.FIV5DKJML.H.BSQEQ(OVu]hFIHcBSH"b uWDWYH"bd_7DQMN&DKJML; #PQEVKFIFR@FI¯FIR %&RdNYQDB$JML²DGh[0¬WYR@LNPOQ]"VMJML²].NYD_7[\g.R@BSQKhb]"FIH4zNZ]"VMN&Q]hFIVBSH¼_7¬.¬BSR$]h.H.X\?].N&VKXYFPDGQKFnRSRSQEFIH¼¿.FI"H[NH"bEaVMN&g.L.FIHN&DK]hVZJMFIH¾>

+

e,p

e’,p’ p’,P’

p,P

Zo

2

~σγ

_7¬.¬.B@R$]"H.X\?EMONQPHRESTVUWSX$Y=ZUF[\]P^S`_ aTbJcaSd.LK9XfeahgHijUWakg l^\

£7WZ[\BSH.B@FIVKQaBSV5] ]hFIVACBSVE"H.XDEz.FnVMDKJML.H.B@QKQk]h.VMJML²]"FIH²gNVEBSQPNQMDFIVKL4NRSQEFIH]"FnHmJ.bd_7DdbQMN&DKJML¾>ªA²[email protected]¼QKVKB@QKQFnBSH«¾FIVE[ ]".V5JL²]hFIH-.LKKbd_7DGQ5NDEJL¢NhOE>¾£7BSFXZVKWZYF2NYDKDF]"F&D4. K b uWDGWZHD¯WYH< h? aF6^¬FnBSVKhQ1KFP]"WhJL¢FIBSH.F 57HhQKFIV5]"VZ4Jh.H.X¹]"FIV_aDGQ5NDEJL"bN&L.VMDEJLFIBSH.R@B$JML.FIBQVKFIRNQEBS¯pI[nJ.b_74DGQMN&DKJML&]"B@FUcFIhQKFU]"VMJML]"B@F&DGFIH«¾FIVK[ DGBSH4] B@[email protected]&DKD.H.Xk]"FPD ACBSVE".HXDK.FIV5DKJML.H.B@QKQKFPD¾DGWY[2BSQH.B$JML"Q[\FIZ¬NVn>& [ [email protected]@QKQ NRSR@FIVM]hBSH.XDlQKVEBSQEQFIB@H< H"QEFIVGOFIVEFIH.pIQEFIVK[pIB$DEJLFIH<]"FI[oJ.bk.H] .LKKbd_7DQMN&DKJMLNhO¾]"FIVq]"FIHO .LVKFIH]hFIH²«(FnVK[]"F&D . K b uWDWYHDpI.VQKVEFIN[2g.RSB@QK]"F].N&VMDQKFIR@RSQI> uFIB@[.LKU¬FnQKV N&XYQ ]"BSF)9FI"[email protected]&H]"FIHtRSFng.QKWZH.B$DEJL.FnH\QKVEWY[ K?Qp\`9DGB@H ?rq(s /t "imzr.H]B$DQ9DGWZ[\BSQ.HhQKFIV5]"V 4JhQI>&£7B@Fa_7ehB$NR@¯[email protected]¯FIVERSFIQEpIQ]"BSFaTNVKB@Q N&Q.H]tRSBSFnXYQ9.[^7VPWYZFIH.WYV5]"Hh.H.XYFnH ¬FnV]"FIV29FI"[email protected]>"TNVKB@Q&N&QMDG¯FnVKRSFnQKpI.HXl¬Fb]"FIQKFIQ9&].Nk]hFIV [email protected]¾¯WYHt]"FIV+BN&H]"BSXZFIBSQ¶]"FIVcRSFIhQKVEWYH.FIH N¬.L(NH.XZQI>£7F&DLNR@¬ DQMN&[\[0Qa]hFIVXYVPWYZQKF\gN&VKB@Q&NQ5DG¯FIVERSFIQEpIFIH]hF_7HhQKFIB@R¾¯WYH¢]"FI[ dHhQKFnVGOFIVEFIH.pIQEFIVK[[\[email protected]_7ehB$N&RSWZg.g.RSH.X¼NH ]"FIH<RSFng.QKWZH.B$DEJL.FnH QEVKWZ[³.H4] FnBSH.FIV 9FI"[email protected]¼]"FnH\LNY]hVKWYHB$DKJML.FIHQEVKWZ[>.WY[\B@Q9¬FPDGQKFnL"Q ]"BSFq<WYXZRSB$JML.FIB@Q6]hFIH,9FIhQKWYV5DGQEVKWY[ N[LNZ]"VKWZH.B$DEJL.FnH 9FIVEQKFIe hDGgFIpIB@FIRSR]"B@F uFIB@QKV&N&XYFq]"FIVQEVMN&H.XYFIHF&DKDupI¼]"FnH¿.WZVK[0O N&"QEWYVKFnHXYFnHN.FnVlpn .HhQKFnVMDG4JL.FnH¾>¾£7B@F&DGFIV dHhQKFnVGOFIVEFIH.pIQEFIVK[jBDGQk¬FIBUcH.FIVKXZBSFIH@¾]"BSFUF&DGFnH"[email protected] ]"[email protected][NZDKDF/uwv]"F&D .LKb/ uWDGWYH4DDGB@H]I¯WYH]"FnV7VPWYZFIH.WYV5]"Hh.H.Xyx ?Fz u ?v.H]\O .L.VEQpIFIBSH.FnVugN&VKBSQPNQ5DG¯FIVERSFIQEpIFIH]"FnH\_D"[2[\FIQKVEBFBS[ºQEVKFI4z.FnVMDKJML.H.B@QKQn>£7FIVa [\[email protected]&DucR@FI"QEVKWZHD BDGQFIB@H\gWYR$N&VKFIV9FIhQKWZV6]"FIVuH"QEFIV_7HhuFnH]".H.Xt]hF&DTNPbVKB@Q&N&QMDGWZgFIVMN&QKWYV¼DFIBSH WZVKpIFnB$JML.FIHN&H]"FIVEQI>£N&XYFIXZFIHCB$DQ\]hFIVg.BSH]"FPD0cRSFn"QEVKWYH4D0FIBSH

`

Page 6: diplom - uni-mainz.de · "!$#&% ' ( *),+ -/./+ /00 1( 32547698;:= + '0 ?# [ _7` bdc e"gfivebs[\fihhqadgwzrsr@fih ]"b@f 4 ufib@qkvp n xyf]"fivqdgqevmn h xyf 7 4n vk d7pi ¹]"fih²¿.wyve[0o

NehB$N&RSFIV+ Fn"QEWYV6Z]"FIVUDFIBSH49WYVEpIFIBJL.FnH.HhQKFIVf_7H"UFIH]"H.Xk]"F&D9TN&VKB@Q&NQ5DGWZgFnVMNQEWYVUuFIXZFIH]"FIVa£aVKFIL.B@H"¯ZN&VKB$N&H.pH.BJLhQ N&H]"FIVEQI> 57[ ].NZD7cehgFnVKBS[2FIH"Q9.H4]DFIBSHgBSFIXZFIRS¬.B@R$]t]".V5JL"bpI"O L.VKFIH@z[t.Hh.V ]"FIV9RSWZH.XYB@QK]"B@[email protected]]hF&D9cfR@FIhQKVKWZHD [\XYFIhR$N&g.g.QUFIVM]hFIH¾>hBSQ K DGFIQEpIQUDGBJL][email protected]&DuFIBSHFIH0LFIRSB@pIBSQ NQMD.HN&¬.L NHXYB bXYFnH²_7H"QEFIBSR K .H]FnBSH.FI[^gN&VKB@Q NQ5DG¯FIVERSFIQEpIFIH]hFIH¼_7H"QEFIBSR pIDKN&[\[\FIH¶>.£N&¬FnB ¬Fb]"FIQKFIQ2]"FIV2 H]"FIe ]hFIHC¿NR@R 9].N&<]"FIVg.B@H°.H4]° [\g..RD]"F&DtcRSFIhQKVEWYHDgNV5NR@RSFIRDGB@H]¬.pIk>]"FIVU H]"FIepC]"FIH2NHhQKB@gNV5NRSR@FIRSFnHt¿N&RSR >£7BSFa_qDGh[\[\FIQEVKBFU]"BSF&DFIV9ACBSVE".HXDdb.FIVMDEJLH.BSQEQKFtB$DGQt]hBSF¼FIYXZV&WZYF¼]"F&DcehgFnVKBS[2FIH"Q5D>NH ]"F8FH.BSFnVKQ]hBSF_D"[2[\FIQKVEBF_>M

p p = K K?

[^¿NR@RSF¯FIV5DKJML"B@H]"FIH4]"FIV uFnBSQKVPNXZF]hFIV)#IDGQEVMN&H.XYFIHF&DKD"%ZNH.H²]"B@F&DGF_D"[2[0FIQEVKB@FBS[aNL.[\FnH]hF&D QMNH4].NV5]"[\Wh]"FIR@R$Du¬FIVEF&JLH.FIQuFnVM]"FIH K 5>ª£7B@Fo FnH.H"QEH.B$D]hFIV7FnRSFIhQKVEWb[N&XYH.FIQEB$DEJL.FnHt¿4WZVK[0O N&"QEWYVEFIH\]hFIV7"[email protected] H],.H4]]hF&DuN&e"BNRSFnH\¿.WYVE[0bO NhQKWZVMD qN4D]"FI[$ uFnQMNpnFIVGO N&RSR9]"FPD aFI.QKVEWYHDkB$DQ]N¬FIB39WZVMN4DKDGFnQKpI.HX.>c¬FnH"bO NR@R$DBSV5]FIe.N&"QEFGDWDg.BSHD"[2[\FIQKVEBSFapIB$DEJLFIH*7Fn.QKVEWYHH]TVKWYQEWYH²N&H.XYFIHWY[\[\FnH¾>£7FIVcBSH4.]hFIV # DGQKV5NH.XZF&%baNVE.DZNHH]".V5JL ]"BSF # DGQEVMN&H.XYFIHF&DKD"%bd¿4WZVK[0O N&"QEWYVEFIH]"FPDTVKWZQKWYH4D7¿ < =/> ? .H]< NRD7oWYVEVKFIhQKVpI K NDXYF&]hV JM"QauFnVM]"FIH DE ` M K ?Lp "! $#&%('*) :<= $# %+' p ! ) :<? $,-%(' <`/. 01 =7

K p 27x ?3 =546 ' ! ' ? $# ' ? .x ? `&787 G DGBSH ? qyz =# x ? z `/9 ?: ]hBS[\FIH4DGBSWZHDGR@WDFIV [\g.R$D&¬FnVKQKV5NX. ?` !; K?Lp `fDGBSH ? q s < ' p=> ) ?` #/% ' K?=p`9DGB@H ? qs ? ' p> )@ ?

= ,A% ' B, ?= E?Lp `9DBSH

? qs 3 ?Lp ! ?*C K? =# #! D.? =K? # Q5NH ? q =FE = T WZR$NVEB$DENQKB@WYH¹]"F&Du¯[email protected] B M N&e"BNR@FIVa¿.WYVK[tO NhQKWYV9( B ¬FIB7x ? q¬FIZNHH"QaN&D7]hFI[E7FIQKVKWZHHG(bFIVGO N&RSR2 ?ZiS?n»Y»YZ =;I?n &J 7F9 ? ¿.FIVK[\[email protected]% ' M [®NXYHFIQKBDKJML.F&DuWZ[\FIHhQU]"F&DTVKWZQKWYH4D6 M ¿[email protected]&H"QEF

¡

Page 7: diplom - uni-mainz.de · "!$#&% ' ( *),+ -/./+ /00 1( 32547698;:= + '0 ?# [ _7` bdc e"gfivebs[\fihhqadgwzrsr@fih ]"b@f 4 ufib@qkvp n xyf]"fivqdgqevmn h xyf 7 4n vk d7pi ¹]"fih²¿.wyve[0o

BSQ 7^H] 7 G B@VM]<]"[email protected]¼]"F&DtcRSFIhQKVEWYHD¯WZV.H]<HNYJML ]"FIV\QEVKFI.H.X ¬FbpIFIBJLH.FIQ69 : B$DGQ ]"BSF7.hRSFnWYH.FIH[NYDEDGF.H]t[\BSQ q ]"FnV QKVKFn"[email protected] >£7FIV9A FnBSHh¬FnVKXbBSHFIRDBSH ?rqs BDGQ\¬FIB 7BSF&]hFIVKFIHFIVKXZBSFIFIehgFIVKB@[FIHhQKF H°N&"Ot]hFI[ #QEVKFIF ~Fn¯FIR %²h> =h?I= aW¯ Y- >£7VMJMLFPDKDGH.XYFIH¼¬FIB ¯FnVMDKJML.B@F&]"FIH.FnHQEVKFIhBSHFIRSH q N&¬FnV¬FIB¾WYHDQMN&H"bQKFnHx ? BDGQB@[ÃTVEBSH.pIB@g FnBSH.F uFPDGQKB@[\[.H.X®]"FIV¯FnVMDKJML.B@F&]"FIH.FnH²¿4WZVK[0O N&"QEWYVEFIH ][email protected]"¬RS.QELDGFIg4NVMN&QKB@WYH[ WZXYRSBJL¶> 57HhQKFIV9WZVK [email protected]]¬FnB [email protected]¼ [0bg..RD&.¬FIVEQKVPNXYFnHB$DGQuFnXYFIH # ! ]"FIV¿4WZVK[0O N&"QEWYV :<= ]"WZ[\BSHBSFIVEFIH]ª> £N&XYFIXZFIH0BDGQ[NH¬FIBJhNVEQMDQKVKFn"[email protected]@¯\N&"Of]"FIH¼¿.WYVK[tO NhQKWYV):<? >9WZVKL.FIV5DKN&XYFIH .¬FIVa]"BSFQEVMNHXYFIH.FPDKDdbd¿.WYVE[0O NhQKWZVKFIH : <=> ? ]"F&D47"[email protected]]"FIH<BS[ aNL[\FIH ¯FIV5DKJML.BSFP]"FIH.FIVWh]"FIR@RSFtXYFI[®NYJML"Qn>¾cBSH.F 5a¬FnVMDGBJLhQ¯WZH<Wh]"FIR@RS¯WYVEL.FIV5DKNXZFIH O .V ]"BSF2¬.B$DL.FIVFne"gFIVEB b[\FIHhQKFnRSRªHB$JML"Qa¬FIZNH.HhQKFIH # DGQKV5NH.XZF&%b uFIB@QKV&N&XYFtpI²]"FIH²¿.WZVK[0O N&"QEWYVKFnHD:<=/> ? pIFnBSXYQq_7¬"b¬.B@R$]".HX<= B7FIB Y¡ > ¿7.V\[email protected]²Wh]"[email protected]]"B@F [email protected] ¯WZH!:<= ¬[email protected][ [\g..RD&.¬FIVEQKV5NX x ? q¯WYVKLFIVKXZF&DKN&XYQI>

-0.25

-0.2

-0.15

-0.1

-0.05

0

0.05

0.1

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1

Jaffe 8.1 Kaon Loop

CCDMSkyrme (V)

Skyrme (G)

Q2 [GeV2] →

↑ Fs1

-0.4

-0.3

-0.2

-0.1

0

0.1

0 0.2 0.4 0.6 0.8 1

Jaffe 7.1

Jaffe 8.1

Kaon Loop

CCDM

Skyrme (G)

Skyrme (V)

Q2 [GeV2] →

↑ Fs2

_7¬.¬BSR$]h.H.Xq=M7:<=/> ? T=U \&T PHS9PHZ g l$\ P'dPHS PHZ9dP P>P NaZLdWU gLS]PHa P U SX_9PHZLUWZ iUhi g9P! [ P^Z T PHSi gHi"FP dPHT#F[]i TVU$ PHS&% ? 'WS)( +**-, Y P/. ? P S P10T ['2 SdhX l^\3kP i4'WS , /: <= hiS?n65: <? + "imY=`_ a PHZ877UWZ$i PHS £7B@F¿.WZVK[0O N&"QEWYVKFnH : <=> ? DGB@H] ¬B$DGLFIVH.WhJML°H.BJLhQFIehgFnVKBS[2FIH"QEFIRR9¬FPDGQKB@[\[QkuWZVM]"FIH@N¬FIVUF&D9DGB@H]HFI¬FIH\]hFI[±_7`bdce"gFIVEBS[\FnH"Q¾B@H\N&BSH.paFIBSHFa [email protected]¯WYH2NH4]"FIVKFnH\cehgFnVKB b[\FIHhQKFnHlB@H_7hO¬NtWh]"FIV9TRNHh.H.X ]"BSFU.H"QEFIVMDEJLBSF&]"R@B$JML.F9_DgFI"QEF]"FnVuQKV5NH.XZFIH.F&DEDBS[TVKWZQKWYH¼.HhQKFIV5DGJML.FIH\UWYR@RSFIH*h_Tu~cCNH¼« b NQKFPD uFIB Y» DGW&BSFkpIUFIB¾cehgFnVKB b[\FIHhQKFNH,CUc _¿\[\B@Q¾]"FnH uFnpIFIB$JML.Hh.H.XZFIHkT9 bd "?Mbh?r G K uF&Jn "?".H]T ubd "?bd"?n WY Z5 M>

»

Page 8: diplom - uni-mainz.de · "!$#&% ' ( *),+ -/./+ /00 1( 32547698;:= + '0 ?# [ _7` bdc e"gfivebs[\fihhqadgwzrsr@fih ]"b@f 4 ufib@qkvp n xyf]"fivqdgqevmn h xyf 7 4n vk d7pi ¹]"fih²¿.wyve[0o

f 8;:=<>+'0?#%'%n-/ < #£7B@F FIehgFnVKBS[2FIH"[email protected]]"F<]"FPD_7`&bcehgFnVKBS[2FIH"Q5D0¬F&DGQEFILhQBSH ]"FIV* uFPDGQKB@[\[H.X]"FIVa_qDGh[\[\FIQEVKBF¯WYH¼FIR$NZDGQKBDKJMLNH¼.H.gWYRNVEB$DGB@FIVKQEFIH¼TVKWYQEWYH.FnHXYF&[email protected]]VKFPJLhQMDLNH]hBSXugWZR$NVEB$DBSFIVEQKFIHcRSFIhQKVEWYH.FnH.HhQKFIVFIBSH.Fn[ 9WYVENVEQMDKDQKVEFI.BSHFIRY¯WZH Z¡¡I>

' p 7

[ aNL.[2FIHFIBSHFIV£7WYhQKWZVMNVE¬FIBSQ BaFIB$ Z¡A.V5]"F]"[email protected][N&RSFtoBSHFI[NQEBS\H] £7FbQKFn"QEWYVKXZFIWY[2FIQKVEBSFO .V9].NZDXYFIg.RNHhQKF _7`bdce"gFIVEBS[\FIHhQN[ [email protected]@"VEWYQEVKWYH _ ¬F&DGQEBS[\[tQI>5c D¾.V5]"FIHk¯FIVMDEJLBSF&]"FnH.F aVE.H]"WZH.pIFIg.QEF9pI.[ NZJLhuFnB$Dª]hFIV¾FIR$NZDGQEB$DKJMLkXYFbDGQEVKFIQKFIH¼cRSFIhQKVEWYH.FnHN&"Of£7.VMJML"O.LVK¬N&[email protected]]¼c\FIHp.HhQKFIV5DGJML"Qn> uFIBU]"FIVN&DGXZFINL.R@QKFIH oBSHFI[NQEBSRSB@FIXYQ]"FnV [\g..RD&.¬FIVEQKV5NX¬FIB x ? ¹"> =Z=zraF6 ? >£7B@FFIVK NVEQKFIQEFk_DGh[\[\FnQKVKBFWZL.H.F #IDGQEVMN&H.XYFIHF&DKD"%b uFIBSQEV&NXZF¬FIQEV&NXZQIY?n >.c9DuBSV5][email protected]&.BSXZFIBSQa¯WYH²¡ v` Ih?I [2BSQa DGQMN&QKBDGQKBDKJML.FI[¿[email protected]]`^D.DQKFb[N&QKB$DEJLFIV257HDGBJLFIVKL.FnBSQUNH.XZF&DGQEVKFI¬QI>£7B@F&DDWYRSR ]".V5JL<]hFIH NZJLhuFIBD¯WYHC?n = FnR$NYDQKBDKJML XZF&DGQEVKFI.QEFIH<cRSFn"QEVKWYHFIH FIVEVKFIBJLhQuFnVM]"FIH¶> uFnBu]hFIVL.WYLFIH<NHXYF&DQKVKFn¬.QKFIHC~.[2BSH.WDGBSQPNQ¯WYH<¡ I.?n B J[ ? D = FIVK NVEQKFIQ[N&H\FIBSHFk7N&QKF]"FIVUFIR$NZDGQEB$DKJML\XZF&DGQEVKFI.QEFIH¼cRSFIhQKVEWYH.FIH2¯WYH t¢?I*BaplH]\FIBSH.FqpIFIL.H"b[N&RªLWZL.FIVKF 57HhQKFnVKXYVE.H]"V5NQEFl¯WZH,t ?nY*B7p .¬FnpIWYXZFIHN&"O9]NYDXNHpIFokNR@WYVEBS[\FIQEFIVI>.[ NYJML"UFIB$D]hFIVFIRNYDGQEB$DEJL.FnH QKVKFn.FIVKFnBSXYHB$DKDFDWYRSRFIBSH¹DGFIXZ[\FIHhQKBSFnVKQKFPDA"LWY[\WZXYFIH.FPDokNR@WYVKB@[\FIQEFIV[\BSQ2">rDGV¹7N&.[tBSH.FIR¯FnVKuFnH]"FIQtuFIV5]"FIH¾> [email protected] hJML.FI[N&pIFIBJL.HH.X]"F&DXYFng.R$N&H"QEFIHCokNR@WYVEBS[\FIQEFIVMDkB$DQBSHC_a¬.¬.BSR]".H.X¢XYFIpIFnBSXYQn> [email protected][ [email protected]"bDGQEVKWZ[º¯WYH¹=Y % _ .H][email protected]@WYH.XZBSQK4]"BSHN&RSFIH¹T WYRNVEB$DKN&QKB@WYH]hFIVkcRSFIhQKVEWYH.FnH¯WZHZBSV5]<]"BSF¼NHXYF&DQKVKFn¬.QKF¹DGQMN&QKBDGQKBDKJML.FaFIHN&.BSXZFIBSQ¯WZH [\[email protected][ ?IJ[ RNH.XZFIH¿ REDKDBSXY NYDEDGFIV5DGQKW&b«NVEXYFIQH4NYJMLFIQNr&Z LFIVKVEFIB$JMLhQI>cBSH.F uF&DGQEBS[\[.HXk]"FIV ¿4WZVK[0O N&"QEWYVEFIH0BDGQ ].NH.H¼N&"OXYVE.H]]"FIVU"[email protected][N&QKB$DEJLFIH¿NhQKW&bVKFnH¯WZVa¿ < =/> ? .H] < [2BSQ9FIBSHFIV7aFIHN&.BSXZFIBSQ¯WZH , : <= ">@?I/I :<? qh> Y=[ WZXYRSBJL¶>B7WZL.Fk_7HDg.V 4JL.FauFnVM]"FIH®NH]"B@Fk£N&QKFIHN&"OHN&L.[\[email protected]&DQKFIR@RSQn>4BSFqDGWYR@R¾cVKFnBSXbH.BDGVMN&QKFIH2¯WYHt¬.B$D9pI t?nY*B7pq¯FIVMN&VK¬FIBSQEFIHt.H]\].N&¬FIBª[email protected])#Ig.BSR@Fb .g%bOVKFnBSF7DFIRS¬[email protected][\F&DKD.H.XR@FIB$DQKFIH¾>£Npn°FIVELNR@Q 1KF&]hFIVtoVKB$DQMN&RSRaFIBSH<FIB@XYFIHDQ&N&H]"B bXYFPD7cRSFn"QEVKWYHBSh[\Wh]".RzUFIR$JML.F&DU]"BSFBSXZHNR@F]hFIV qNYJML"¬N&VKH¼NY]]"BSFIVEQ.H]NhO9FIBSHFl¬FbDGQEBS[\[tQKFhJMLhuFIR@RSFuQEVKB@XYXYFnVKQI>cBSXYFnHDGQPNH]"[email protected]&D9pIFIB@QKRSBJLF&D # g.BSR@Fb g%.H4]0V&N&.[0bRSBJLF&D#g.BSR@Fb .g%¼DGFnBSH.FIVkHNZJL4DGQKFnH qNYJML"¬N&VKH ¯FnVKL.B@H]"FIVEQlFnBSH.F2cH.FIVKXZBSFI[2F&DKD.H.XH]_7¬DgFIB$JML.FIVE.H.Xk]"FPD cVEFIBSXZH.B$DEDGF&D >£NYDUcRSFIhQKVEWYH.B@"[\Wh]h.R"B@VM]]"FnVKpIFIB@QBS[ 7N&L.[\FIHFnB bH.FIVf£7WYhQKWZVMNVE¬FIBSQ oWF& zr .FIHhQB$JMFIRSQn> uFnBTVKWYQEWYQhgFnH0WZH.H"QEFIH¬FIVEFIBSQ5DFIVGOWZRSXYVEFIB$JMLN[QKV5NL.RXYFIQEF&DGQEFIQuUFIVM]hFIH¾>¿a.V ].NYD9FIV5DGQPNH]"HB$DlH] ]"B@F\oWYVEVKFIhQKV]"FIV DGDGQEFI[NQEB$DEJL.FnH57HDGBJLFIVKL.FnBSQBDGQFnB bH.F²pIDnNQKpnRSB$JML.F¹F&DKD.H.X°¯WZH´N&RSR@FIH´aV&WYZFIH´N&L.VKFIH4]´]"F&Dce"gFIVEBS[\FnH"Q5DFIVOWYV5]"FIVGbRSBJL@.]"B@FlB@[^¿NR@RSFkFIBSHFIVaoWYVKVEFIR$N&QKB@WYH[\BSQ ]"FIVqT WYRNVEB$DKN&QKB@WYHD.[DKJMLN&RSQKH.XFIBSHFD.DQKFb[N&QKB$DEJLF 9FIVPNH]hFIVK.HX\]"FnVXYFI[2F&DKDFIH.FIH¼_D"[\[tFIQEVKBSFa¯WYVEQ&N&DKJML.FIH¼¾WZH.H.FIH¾> B7B@FIVKpI

r

Page 9: diplom - uni-mainz.de · "!$#&% ' ( *),+ -/./+ /00 1( 32547698;:= + '0 ?# [ _7` bdc e"gfivebs[\fihhqadgwzrsr@fih ]"b@f 4 ufib@qkvp n xyf]"fivqdgqevmn h xyf 7 4n vk d7pi ¹]"fih²¿.wyve[0o

_7¬.¬BSR$]h.H.XM l^\]PHTVUhi g l^\]P UWZgHi P aS*dPgP [- UWSiPHSU$+WZ T P i PHZg aZVdWU g UhXZ i UhiIg9P! $[]PHZ T PHSi PHZ P$i P 39i WZ gHiVg RhTVT P$ijZ g l^\ "FP_ a$ l^\ dP^Z ]ijZU \ UWl^\Wg9P aSda "FPHZ gHijZ^P l^\i P S]PHS UWaT7 S/3WP 'WS)( , g Z

[¢DEDGFIH¼T WZR$N&VKB$DENQEBSWYH@ªQKV5NL.RDGQKVEWY[^.H]¼« N&VKXZFIQM]"BJLhQKFkN&L.VKFIH4]]"FIVaXYFPDKN[[email protected].[±R$N&"OFIH]"FnHcehgFIVKB@[\FIHhQk¬FnVKNZJLhQuUFIVM]hFIH¾>.£qNYDaTfVEWh]".hQN&DQEVMNLR$DGQEVKWZ[ H]°«NVEXYFIQ5]"B$JML"QEFB$DGQt]hBSF~.[\[email protected]&N&QFIBSHF&Dce"gFIVEBS[\FIHhQMD >BSFBSV5][\B@[email protected]&Dl~.[2BSH.WDGBSQPNQ5DG[\WZH.BSQEWYVMDt.¬FIVK NYJML"Qn>¾£7BSFXZFI[\F&DEDGFIHFNLRSVMN&QKF2]"[email protected][0.N&"O9]hBSF~.[2BSH.WDGBSQPNQUH.WYVE[\BSFIVEQ9uFIV5]"FIH.[ ]"BSF DGDGQKFn[NQEB bDKJML.FIH9FIVPNH]"FnVK.H.XZFIH¼]"FIVXZFI[\F&DEDGFIH.FnH\_D"[2[\FIQKVEBFpI[\BSH.B@[\BFIVKFnH¾>£7B@FT WZR$N&VKB$DENQEBSWYH®]"F&D9cRSFIhQKVEWYH.FIH4DGQKV5NL.RD[0.qFI¬FIH"O NR@R$DXYFn[\F&DKDFIHuFnVM]"FIH@"]N]"B@FpI[\F&DEDGFIH4]"FuFIehgFIVKB@[\FIHhQKFIR@RFu_qDGh[\[0FnQKVKB@F9].NZDuTVKWh]""QUN4DuT [email protected]]QKL.FnWYVKFnQKB bDKJML.FIV _DGh[\[\FnQKVKBFBDGQI>£7FIVa_7hO¬N¼FIBSH.FPDuT WZR$NVEB$DENQKB@WYHD[\WYHBSQKWZVMDuXZF&DKJML.BSFnL"[email protected]£[email protected][NVE¬FnBSQ ~WYg Z»5 >

Page 10: diplom - uni-mainz.de · "!$#&% ' ( *),+ -/./+ /00 1( 32547698;:= + '0 ?# [ _7` bdc e"gfivebs[\fihhqadgwzrsr@fih ]"b@f 4 ufib@qkvp n xyf]"fivqdgqevmn h xyf 7 4n vk d7pi ¹]"fih²¿.wyve[0o

` I¶k

£7B@Fl~.[2BSH.WDGBSQPNQFnBSH.F&D FehF&]zbd«NVKXZFIQcehgFIVKB@[\FIHhQMD¾B$DGQU].NZDuTVKWh]h."Q NDQKV5NL.RDGQEVKWY[.H] « N&VKXYFnQM]"BJLhQKF> c D\BDGQNL.VEFIH]´]hF&DcehgFnVKBS[2FIH"Q5D0DB$JML.FIVEpIDGQEFIRSR@FIH9].N&C¬FIB$]"FaV&WZYFIH .¬FIV]hFIHXZF&DKN&[0QEFIH,9FIVKRN"OWYH4DGQMN&H"QaDBSH]> 57HN¬LNH.XZBSX\¯WZHQKV5NL.RDGQKVEWY[0bDKJMLhNH".HXYFIH¶WYH.H.FnH£7BJLhQKF&DEJLhN&H.h.H.XYFnH0B@[ ? bd«NVKXZFIQapI~.[\BSHWDGB@Q&N&QMD [email protected]®O L.VKFIH¶>£7B@Fk« N&VKXZFIQM]"BJLhQKFaZNH.H®]".VMJML uRNYDGFnH"¬.B@R$]"H.X BSH4DG¬F&DGWZH]"FIVEFkNH¼cBSHhQKVEBSQEQMDdbH]_7DdbQKVEBSQEQMDdOFnHDGQEFIVKH¯ZNVEBSB@FIVKFIH¶>7B7BSFnVK¬FIB WZH.HhQKFk]"B@F7[2BSQ9]"FnV uR$NZDGFIHh¬.B@R$]".HXlFnBSH.L.FnVKXYFnL.FIH]"F~.[\[email protected] NQMDEDKJML" NH.h.H.X ]"BSFDQMNQEB$DQKB$DEJLFk_7 WDG.HX\]"FPDcfehgFIVKB@[\FIHhQMD]hWY[\[email protected] BqNQM &`5 >£7F&DLNR@¬<B$DGQF&DlHWYQuFIH4]"BSX H.FI¬FIH¢FIBSH.FnVlXZFIHN&.FIH F&DKD.H.X²]"FnV0QEVMNLR$DGQEVKWZ[[email protected]~.[\[email protected]&N&QMD[\F&DKD.H.X ]".VMJML.pIhO .L.VKFnH¾>

H]"FIV uFPDKJML.RSFIH.BSXZFIVKXZVK.g.gF¼]"F&D HDQKBSQE.QMDO.VoFIVEH.g.Lh.DBS<.V5]"FIH[\FIL.VEFIVKF.H"bN¬LNH.B@[email protected]]"FnHpn.VQKV5NL.RDGQEVKWY[2[\F&DKD.H.XFIH"QBJFIR@QI>£7B@FF&DEDG.H.X]"FnV C9A°bEQKV5NL.RDGQEVKWY[®DGQ&N&VKF[\B@QB O$bd F&DWYHN&QKWZVKFIHBDGQ9N&Ht_[\B@Q FnB bH.FIV9aFIHN&.BSXZFIBSQ¯WYH ¢?¬.BD h>S?ªH_<[²WYXZRSBJL ¿ BSH4 Y¡ IFI¬FIH4DGWFIVER$N&.¬FIH]".VMJML0"H"bJML.VKWZQKVKWZHDGQEVMN&L.RS.HXFIVKpIFn.XYQEFaTfLWYQKWFnRSFIhQKVEWYH.FIH2FIBSH.FqF&DEDG.H.X ]"FIVQEVMNLR$DGQEVKWZ[DGQPNVKF[\B@Qu]hFIVMDFIRS¬FIHaFIHN&.BSXZFIBSQn>cBSH.FqF&DEDG.H.X ]"FIVU]".V5JLt]hFIHcRSFIhQKVEWYH.FnHDGQEVMNLR.FIVKpnFI.XYQEFIHt[NXZH.FIQKBDKJML.FIH dH4]".hQKBSWZHBSH FIBSHFI[ ¿.FIVKVEBSQEFIVKH B@[ « v¬.BDpnC YIbvO NZJLF 57¬FIVKLWZL"H.X ]hF&DQEVMNLR$DGQEVKWZ[D HNZJL]hFI[±TVKBSHpIBSg]hFIVU¿WYV5DGQKFnVMDGWZH]"FkBS[±oWZ[\gFIHDKN&QKB@WYHD¯FIVGO N&L.VKFIH@zFnVKR$N&.¬.QUFIBSH.FqDGW&bOWYVEQKB@XYFkN&¬DGWZRS.QEF uF&DGQEBS[\[H.Xk]"F&DuQEVMN&L.R$DQKVKWZ[DuN&"OU?±aFIHNBSXYFnBSQ9¬.B$DUN"OU?n H_L.FIVE.HhQKFIVn>"£aBSFaFIHN&.BSXZFIBSQU]"FnV7QEVMNLR$DGQEVKWZ[\[\F&DEDG.H.X DGQKFnBSXYQ ].N¬FIB¾[2BSQ9]"FnVFIZpIFIBSQn>¿a.V²]NYD²_7`bdce"gFIVEBS[\FIHhQ.VM]hF FnBSH.F<FnQKL.Wh]"F<FIHhQB$JMFIRSQ9u¬FIBt]"FIV¼[\BSQ¼RSWhJMzb BSH«¾F&JLH.BSFIH¢]"B@F\[NXZH.FIQEB$DKJML.F2 H]".hQKB@WYH ]"F&D0QEVMN&L.R$DQKVKWZ[DlB@H<FIBSH.Fn[ ¿4FnVKVKB@QKFIVEH OV¯FIV5DKJML.BSF&]hFIH.FtT [email protected] ¯FnVKXYR@B$JML.FIHB@VM]ª>+ uFIBU]"BSF&DFI[ FIZ¯FIVGO N&L.VKFIH¶WYH.H.FnH\VKFIRNQEBS¯FkhJLhN&H.h.H.XYFnH]"F&DQKV5NL.RDGQKVEWY[D9¬FIB¾T WZR$N&VKB$DENQEBSWYH4DG.[\FnL.V9XYFI[\FPDdbDGFnHUFIVM]hFIH.N&¬FIV7HB$JML"Q ]"FIVaN¬[email protected] FnVKQa]"F&D7QKVMN&L.R$DQKVEWY[D >

H²_7¬DEJL.HBSQKQ ">S?B@VM]h.VKpt]"FnV uFnXYVKB<]hFIV~.[\[email protected]@QK.R@BSFIVEQI>_7¬DKJML.H.B@QKQ">m=DGQKFnRSRSQ ][email protected]¯WZVI>¾ H²_7¬4DKJML.H.BSQEQk">m\uFIV5]"FIH²]"B@F¯WY[ _a`bdcfehgFIVKB@[\FIHhQL.FIVkH.WZQuFIH]hBSXYFnH aFIHN&.BSXZFIBSQEFIH²]"BDGh.QKB@FIVKQn>¾ H _7¬4DKJML.H.BSQEQ"> `UFIVM]"FnH ]"B@FO V][email protected]]hFIVKR@B$JML.FIHQKVEFI.g.VEWYpIF&DEDGF¬FIVEF&JML.H.FIQ9.H]\B@H_7¬DEJL.HBSQKQUh> ¡]"FIV ND bXYFn NL.R@QKF£7FIQEFI"QEWYVEQGhg¯WYVEXYF&DQKFIR@RSQI>

Page 11: diplom - uni-mainz.de · "!$#&% ' ( *),+ -/./+ /00 1( 32547698;:= + '0 ?# [ _7` bdc e"gfivebs[\fihhqadgwzrsr@fih ]"b@f 4 ufib@qkvp n xyf]"fivqdgqevmn h xyf 7 4n vk d7pi ¹]"fih²¿.wyve[0o

(0'(-/# 7#£7B@F ~[\BSH.WDGB@Q&NQ\~ FIBSH.FPDcfehgFIVKB@[\FIHhQMD¬F&DKJML.VEFIBS¬.Qt]hFIH ¿ RS.¢]"FIVtDQKVEFI.FIH]hFIH [email protected]>£NYDTVKWh]".hQtN4D ~[\BSH.WDGB@Q&NQk.H4] ]"FI[ACBSVKh.H.XDK.FIV5DKJML.H.BSQEQ FIVEXYBS¬Qu]hBSFaF&NhQKB@WYHDVMNQEFk>h£7BSFk~.[\[email protected]$N&.¬.Q9FIBSHFIH0R@FIB$JMLhQKFIH9FIVKXZRSFIBJLpIB bDKJML.FIH,FehF&]zbd«NVKXZFIQGbU.H4]oWZRSRSBDGB@WYHDFIe"gFIVEBS[\FnH"QEFH¾>

I v`

£7B@F~[\BSH.WDGB@Q&NQa]hF&D_7`bdce"gFIVEBS[\FnH"QEF&DRNZQDB$JML¼NDa]"FI[^¿RS.t]"FnVQKV5NL.R@QKFIB@R$JML.FIH cR@FI"QEVKWZH.FIHPD.H]]"FIVq¿ RdNYJML.FIH]"BJLhQKF ]"F&D ? bd« N&VKXZFIQMD _QKWY[2F&J[ ? ND bVKFPJL.HFIHM

- I ¡7

]"B@FlXZFIXYFn¬FnHDBSH]]"VMJMLM

C D

( I M cRSFn"QEVKWYHFIHDGQEVKWZ[ _( M [\B@QKQERSFIVEF«NVEXYFIQ5]"B$JML"QEF C M cRSFn[\FIHhQMNVER$NZ]".H.X C; M «NVEXYFIQERNHXYFHJ[

uFIBa=Z % _ QKV5NL.RDGQKVEWY[*?n J[ ? b«NVEXYFIQ\H] t?I¡Z % [ cBSHhQKVKB@QKQ5DdOFIHDQKFIVH]t?I¡Z % [º_aDGQEVKBSQEQMD OFIHDGQEFIV_aRS.[\[email protected][±N[^«NVEXYFIQaFIVKXZBS¬.QaDB$JML\O .Va]"BSF~.[2BSH.WDGBSQPNQN4D7]"FnVa¿4WZVK[\FnR

"! u C I-7$# C&% "'!)( C (' C&* I * u ? ( ,+* u B +I * u &I7 - .! u C+ I $/ 1032"465 7$# C7% .')!)( C (' C&* »7

OWYR@XYFIH4]"FkA FIVEQKFWM

¡hi Z@IZ?I B =< 98 ¬FIB=Y % _?IJ [ ?

5;: =hi =Z¡@IZ?I B J =< 98 ¬FIB=Y % _YZ % [ _7RS.[2BSH.B@.[

?I

Page 12: diplom - uni-mainz.de · "!$#&% ' ( *),+ -/./+ /00 1( 32547698;:= + '0 ?# [ _7` bdc e"gfivebs[\fihhqadgwzrsr@fih ]"b@f 4 ufib@qkvp n xyf]"fivqdgqevmn h xyf 7 4n vk d7pi ¹]"fih²¿.wyve[0o

f /<(+ r<£7B@FFIe"gFIVEBS[\FnH"QEFIRRSF9FIQEL.Wh]"Fq]"FIVu~[\BSH.WDGB@Q&NQ5DG[\FPDKDGH.X¶WYH.HhQKFpI[ uFIBDGg.B@FIR.]NVKB@H¬F&DGQEFIL.FIH@"QKV5NL.RDGQEVKWY[ .H]«NVEXYFIQ5]"B$JML"QEFupI¬F&DQKB@[\[\FIH¾>n£7BSF) uFPDGQKB@[\[.H.X ]"FIV9«NVbXYFnQM]"BJLhQKFB$DGQN&RSRSFnVM]"[email protected]¬[email protected][ NZDGQ5NVKXZFIQFne"gFIVEBS[\FIHhQKFnR R¾R@FIB$JMLhQpI.XN&H.XYR@B$JML QKF& Z=A¾.H]\H.BJLhQu¬FIB]hFI[jBS[ _7`&bcehgFnVKBS[2FIH"QUFIBSHXYF&DFIQKpIQEFIH ? bd« N&VKXZFIQI>cBSH.F NH]"FnVKFk<WZXYRSBJLFIBSQ9Y]"B@F~.[\[email protected]\¬F&DQKBS[2[\FIH&¬F&DGQEFIL"QUBSH]hFIVF&DEDG.HX]"FIV [email protected]&QKFaFIBSHFIVQKVEFI.VKFPNhQKBSWZH\[\B@Q¬FIZNH.HhQKFI[[email protected]>h H\]"FnV¯WYVERSB@FIXYFIH4]"FIH_7VE¬FIBSQUBSVM]]"B@F&DGFFIQEL.Wh]"Fk¯FIVENH4]"QI>£7B@FFIe"gFIVEBS[\FnH"QEFR@R F _DGh[\[\FIQEVKBFk_ ' BSH¹]"FIVQEVKFI.H.XBSV5]ND]hFIVNLRSVMN&QKFt]"FnVFIRNYDGQEB$DEJL.FnH cVKFnBSXYHB$DKDF0¯WZH [email protected]&H]"BSXZFIH<cRSFn"QEVKWYHFIH 9g.BSH².H]< [\g.R$D]"FPDcRSFIhQKVEWYHDtgNV5NRSR@FIR .H]°VKFPJLhQMDLNH][email protected] ag.BSHCH]C [\g..RD0]"FPDcRSFIhQKVEWYHDUNHhQKB@gNV5NRSR@FIR XZFIuWZH.H.FIH¾>£7BSF [email protected]@p NLRSVMN&QKFIHt[ DEDGFIH2].N&¬FnBªO .V1KF&]hFkT WbR$N&VKBDKNQEBSWZHDGVEB$JML"QE.H.X Wp XYFIQEVKFIH.HhQNhO]"BSF9B@H"QEFIXYVEBSFIVEQKFu~.[2BSH.WDGBSQ NQ H.WYVE[\BSFIVEQuFnVM]"FIH¶>

' : 8 p : 8 : 8 : 8 Gr

B7B@FIVK¬FIB.BDGQ ]"BSF~[\BSH.WDGB@Q&NQO.V ]"[email protected]&H]"BSXZFTWYR$N&VKBDKNQEBSWZH ]hBSF~.[\[email protected]@Q&N&QªO .V]"BSF9VEF&JLhQMDLNH4]"BSXZF9T WYRNVEB$DKN&QKB@WYH¾> * * DBSH]7WZVK[\[email protected]¾>I£7B@F&DGF7WZVK[\[email protected]¶WYHH.FIH<]"VMJML<]"BSFt¯FIVEuFIH][email protected]¶>Yc9D BDGQNH.pI4DGQKVEFI¬FIH]N¬FIB]"F7WZVK[\[email protected] * * ]hFIHDGFnRS¬FIHA²FIVEQ¬F&[email protected]\].N&0XZBSR@QBM * * * >¿a.V2]"B@FNH_qpI.V FnVGO.XZ.H.X<DQKFIL.FnH]"FIH BNR@¬.RSFIB@QKFIVEFIRSFn"QEVGWZH.FIH.FIR@RFIH B$DQ0FPD[²WZXYRSBJL@ pI"O5N&RSR@BSX²]"B@F QEVMNLRSgWYRNVKBDKN&QKBSWZH?ª[D4#IgWDBSQKB@¯ % Wh]"FIV¹?ª[D#H.FIXNQKB@¯ % [email protected]_7¬¬.BSR]".H.X\` " 1KFIUFIBSRD [\[email protected] 57[DKJMLN&RSQKpnFIBQ¯WYH<?I= % DpIBDKJML.FIH]hFIHT WZR$NVEB$DENQKB@WYHDpIDQ&NH4]"FIHpI¼DKJMLNR@QKFIH¶>

£7FIV~[\BSH.WDGB@Q NQ5DG[\WZH.BSQEWYVUDGWZRSR].N&¬FIB]"BSF~.[\BSHWDGB@Q N&QKFIH ¬FnVa]"FIH 1KFIuFnBSRSB@XYFIH2T WZR$NPbVKBDKN&QKBSWZHDGpnDGQ5NH]°?[[email protected]]BSH¢]"FIH²N&HDKJML.R@BSFIZFIH]"FIH<?n= % D 57[DEJLN&RSQEpIFIBSQWY[2g.RSFIQEQk].NZDFIDBSXYH4NRBSH¢FIBSH.Fn[ _£ CWYHh¯FIVEQKBSFnVKFIH.H4] pn.VDg NQEFIVKFIH _7H4NRSDGFN¬4DGgFIB$JML.FIVEH [email protected]&g.BSQEFIR¡">m= _7H.L4NH.XCM>

cBSH.FXYFIH4N.FtF&DEDG.HX]"FIV~[\BSH.WDGB@Q&NQaNLVKFIH]]hF&Dce"gFIVEBS[\FnH"Q5D B$DQH.WZQGUFIH]"B@X .[±]"FnHNH.XZF&DGQEVKFI¬QKFIHDQMN&QKB$DQKBDKJML.FIH2¿4FnL.RSFIV9¯WZH\ .H]2DGDGQKFn[NQEB$DKJML.FIHt¿.FILRSFIV¯WZH`B@H¼]"FIVa_D"[\[2FIQKVEB Fn[0FnDKD.H.XpnFnVKVKFnB$JML.FIH¾>£7FIVDQMN&QKB$DQKBDKJML.FU¿4FnL.RSFIVBSHk]hFIVF&DKD.H.Xq]"FIV¾B@H"QEFIXYVEBSFIVEQKFIH~[\BSH.WDGB@Q&NQ .¬FIVU?ª[D[t.=¬FIQEVMNXZFIH].N[\B@Q]hBSF7WYVE[\BSFIVE.H.Xq]"FIVNLRSVMN&QKFIH2NhO]"B@Fl~.[2BSH.WDGBSQPNQHB$JML"Q9]hFIHDGQ5NQEB$DGQEB$DEJL.FnH¿.FIL.RSFnVu]hF&D_7`bdce"gFIVEBS[\FnH"Q5D ¯FIVMDEJLRSF&JML"QEFIVKQn>Y£aFIVuA²FIVKQUFIVKXZBS¬.QaDB$JML\N&D]"FIV57[\VEF&JML.H"H.Xt]"FIVqDGQ5NQKBDGQEB$DKJML.FIH²aFIHNBSXYFnBSQq]"F&Da_7`bdce"gFIVEBS[\FIHhQMDu¯WZH`8I?n BSHrPY\QK.H4]"FIHN&"O ?ª[D>

?Y?

Page 13: diplom - uni-mainz.de · "!$#&% ' ( *),+ -/./+ /00 1( 32547698;:= + '0 ?# [ _7` bdc e"gfivebs[\fihhqadgwzrsr@fih ]"b@f 4 ufib@qkvp n xyf]"fivqdgqevmn h xyf 7 4n vk d7pi ¹]"fih²¿.wyve[0o

+ P_

P+

12 µs 12 µs 1ms1ms 1ms

P

_7¬.¬BSR$]h.H.X`MyY(P [- UWSi P $ UWZ g Uhi WS g aTg l^\&U$ ijaSUWT e4 P P _ i UhiVdPHZ0 P!39ijZ!WS]PHS&7 P'l^\Wg9P iL\ PHZ8"FP T i(P S P^Z N Z^P a PHSW_ 'WS 3'=_ 7 g l^\]P^S dPHS $ UWZ Xg Uhi WS g$_ akgHiUWSdPHS P Ei P S]P7Tg l$\&U$ i _9P i7dPHZ 9l 3WP g$_9P P UWS dPHZ%a P P1 WS * % g _7R@RSFIV5]"BSH.XDBSV5]°BSHCokN&g.BSQEFIRh> XZFIpIFIB@XYQ9u].N& [email protected]&DEDG.HX<]"FIVtBSHhQKFIXZVKB@FIVKQEFIHC~"b[\[email protected]&N&Qk[\BSQkuFPDGFIHhQKR@B$JML"[email protected][ ¿4FnL.RSFIVH.WYQUFIH]"B@XB$DQ6.[Ã]hBSF\[\B@Q #g.BSR@F\.g %¯FIVE¬..H]"FnH.FIHD.DQKFI[®NQKBDKJML.FIH 57HDB$JML.FIVEL.FIBSQEFIHN&"Ok? ]"FIVFne"gFIVEBS[\FIHhQKFnR R@FH¼_D"[tb[\FIQEVKB@F7pI¬FIXZVKFIH.pnFIH¾>#[email protected]%[email protected]&]""QEBSWYH¹]"FIVkXYFn[\F&DKDFIH.FIH¼aNQEF0B@[º£aFIQKFIhQKWZVI>¾[email protected]&.FzJL.B@R$]"FnVK.H.X2]"FIVkpIFnBSQKR@B$JML.FIH\H] XZFIWY[2FIQKVEB$DKJML.FIH¹cBSHf4DKDGF¯WZH-# [email protected]%2DGB@H]BSH¼]"FnVa£7B$DEDGFIVEQMNQEBSWZH¯WZHc> [email protected]"bdoWYHDEJL4NtpI,FH]"FIH B7FIB$ Z¡ >

?I=

Page 14: diplom - uni-mainz.de · "!$#&% ' ( *),+ -/./+ /00 1( 32547698;:= + '0 ?# [ _7` bdc e"gfivebs[\fihhqadgwzrsr@fih ]"b@f 4 ufib@qkvp n xyf]"fivqdgqevmn h xyf 7 4n vk d7pi ¹]"fih²¿.wyve[0o

9 25 !H-/+1(+ ((./ H ]"BSF&DFI[ _7¬DKJML.H.B@QKQuFIV5]"FIH<]"[email protected]]"BSXZFIH°aFIHN&.BSXZFIBSQEFIH<]"FnV\~.[\BSHWDGB@Q&N&QMDdb[\F&DEDG.HXt]"B$D".QEBSFIVEQI>

)S) #&!z':&!":I#&!su%;<vw-I$#hy,"#c9DDFIB9BS[ºOWYR@XYFIH4]"FIH¢]"BSF2_7H.HN&L.[\FXZFI[NYJMLhQ6].N¹]"BSF~.[\[email protected]&N&QkWYHDQMNHhQ¼¬[email protected]¼?ª[DdbdT.R$DBDGQI>£NHH\B$DQ]"B@Ft.¬FIVq?ª[DBSHhQKFnXYVKB@FIVKQEF~.[\[email protected]&N&Q ]h.VMJML\]hFIHBSQEQKFIR@uFIVEQU]"FIV~.[\[email protected] XZFIXYFn¬FnHM >£7B@F]"FIH²£aFIQKFIhQKWZV7QEVKFFIH4]"F«¾FIBSRJLFIH.p&N&L.RNHFIRNYDQKB$DEJLFlXZF&DGQEVKFIQKFIH¹[email protected]¼¬FnBgWDBSQKB@¯FIVtT WZR$NVEB$DENQKB@WYH BS[ FIB@QKB@H"QEFIVK¯ZNR@R9¯WYH´?[DWYL.HF£7WZg.gFIRSQEVKFFIV #Ig.B@RSF\.g %&R$N&.QKFnQBM

[\BSQ K 7

B$DGQLBSFIVE¬FnB]"[email protected] .Vq]"BSFQEVKFI.H.X\N&[email protected][ ? b«NVKXZFIQ6 K ]hFIV9gWZR$N&VKB$DENQEBSWYH4DG.HN&¬.LN&H.XYB@XYF_aH"QEFIBSR ]hFIV9gWZR$N&VKB$DENQEBSWYH4DKN¬LNH.XZB bXYF2_7HhQKFIB@R > BDGQ]"B@FNYJML"UFIB$DN&L.VMDEJL.FnBSH.R@B$JML.YFIBQa]"FPDl£aFIQKFIhQKWZVMD4vB@H HDGFIVEFI[ ¿N&RSRSF ? " ]"BSF¼[\BSQEQKRSFnVKF~.[2BSH.WDGBSQPNQtg.VKW FIBSQEBSHhQKFIVE¯YN&RSRU¯WYH´?[D>U£7BSF_D"[\[2FIQVKBSF ]"FIVFIR$NZDGQKBDKJML.FIH°QKVKFn..H.X ]"B@F\BS[ _7`&bcehgFIVKB@[\FIHhQlXZFI[\F&DEDGFIH²uFnVM]"FIHDGWZRSR.YN&H.H[NH¼N&R$D 5 z K pa I?I DKJML.VKFnBS¬FIH¾>¿a.V]"B@Fu]hFIH£7FnQKFIhQKWZV¾QKVKF ªFnH]"F«¾FIB@R$JML.FIH.p&N&L.RN&HcRSFn"QEVKWYHFIHND 5aH"QEFIVKXZVK.H]hg.VKWZpIF&DdbDGFnH¬FIB¾gWDGBSQEBS¯FIVaTWYR$N&VKBDKNQEBSWZHB@[ FIB@QKBSHhQKFnVK¯ZNR@R.¯WYH²?ª[DuWZL.H.F£7WZg.gFIRSQEVKFFIV #gBSRSF.g %&DEJLVKFIB@¬.Qu[N&HM

> 0 0 : > G [\BSQ K; 7

G BSF&]"FnVK.[±FIBSHFNYJMLhuFIBDGN&L.VMDEJLFIBSH.R@[email protected] G ´? M>£7FnVa«(FIVE[ K B$DQ]"FIVqACBSVKh.H.XDK.FIV5DKJML.H.BSQEQ]hFIV 57H"QEFIVKXZVK.H4]"g.VKWZpIF&DEDGF7N"[email protected]$NVEB$DENQKBbWYH4DG.HN&¬.LN&H.BSXZBSXYFnH.H]gWZR$NVEB$DENQKB@WYHDEN¬.L(NH.XZBSXYFnH _7HhQKFnBSR >c9D7DWYRSR¾[2BSQ : z K]"B@Fk_DGh[\[tFIQKVEBSF ]"F&D35aH"QEFIVKXZVK.H]hF&D ¬FIpIFnB$JML.H.FIQUFIVM]hFIH¾> NQEL\FIQ NR qNQMZ=A¬FnVKF&JML"bH.FIQEFIH\B@H\FIBSHFIVU_7VK¬FIB@Q]"FIH2A FIVEQu¯WZH : ]"FIV [email protected]]".hQKB@WYHpI,pk?nI&?I &J >£7BSFPDGFIVA²FIVKQB@VM]L.Fn.QKFtN&R$D7pILWhJL¢NH.XZFIH.WZ[\[\FIH¾> aFI.FIVEFF&JLH".HXYFIH¼BSH²]"FIV «uL.FIWYVEBSFbXYVE.g.gF\¯WZH-B7FnVKVKH¢£7VEF&JL4DGFIRB@H N&BSH.p BqN[ &`BN&[ Y¡ 9FIVEXN¬FIH@].N&]"B@F,57HhQKFnVGbXYVE.H].NZDGh[\[\FIQEVKB@Fk]"[email protected]]".hQKB@WYH²BSH]hFIVMDFIRS¬FIH aV&WZYFIHWYVM]hH".HXR@BSFIXZQ7B@Ft]"BSFFIRNYDGQEB$DEJL.F _DGh[\[\F QKVEBSF 5 NR$DWBS[E uFnVKFIBJL : tnpk? I?I &J > [³aFIXZFIHDKN&QKp2].NpnB$DGQ ]"BSFXZFI[\F&DEDGFIH.F «(FnBSR$JML.FIHp&NL.R¾¬FIBgWDGB@QKBS¯FnVkT WYRNVEB$DKN&QKB@WYH²BS[FIB@QKBSHhQKFnVK¯ZNR@R ¯WZHC?ª[D]"BSF #IF&JLhQKF %, NL.R@VMN&QKF\[\B@H"4Dl]hFIV4 NL.R@VMNQEF7]hBSF2]".VMJML #gBSRSF.g %c FI"QEFk¯FIVKR@WYVKFnH\XYFILhQBM

?I

Page 15: diplom - uni-mainz.de · "!$#&% ' ( *),+ -/./+ /00 1( 32547698;:= + '0 ?# [ _7` bdc e"gfivebs[\fihhqadgwzrsr@fih ]"b@f 4 ufib@qkvp n xyf]"fivqdgqevmn h xyf 7 4n vk d7pi ¹]"fih²¿.wyve[0o

' 4< p ' 5 : ' K?n K K :

p K K = # G K K :

K?Z?

= # B$DGQ ]"BSF # [email protected]%4FIB@QI>7 uFnBª]hFIH\[email protected]&DFIQKpnQKFIH : ? boVEB$DGQ5NR@RSFIHt¬FIQKV NXYQ # =Y H4DA]"B@F# [email protected]%FIBSQ NRDGWt` HD >

H;K?Z? kBDGQ]hFIV¯WZRSR$DQ N&H]"BSXZF_7HDENQEp0O .V)1KFIXZRSB$JML.Ft£7WZg.gFIRSQEVKFFIV9N&R$DGWFnR$NYDQKBDKJML [email protected][\B@Q FnR$NYDQKBDKJMLXYF&DQKVKFn.QKFIH2cRSFIhQKVEWYH.FnHFnR$NYDQKBDKJML.FXYF&DQKVEFI.QKFqcRSFIbQKVEWYH.FnH0[\B@Q57HhQKFIVEXYVKH]"g.VEWYpIF&DEDGFIHH]5aH"QEFIVKXZVK.H]hg.VKWZpIF&DKDF[\BSQ5aH"QEFIVKXZVK.H]hg.VKWZpIF&DdbDGFnHXZFIXYFn¬FnH¾>A²FIXYFIH¹]"FIVB@[^_7`bdce"gFIVEBS[\FnH"QUNH4DGQKFnL.FIH]"FnHaNQKFnH"¯[email protected]$DEJLXZF&DGQEVKFI"bQKFacR@FI"QEVKWZH.FIH 57H"QEFIVKXZVK.H4]"g.VKWZpIF&DEDGF´?7Mn?IZNH.Ht[NHLBSFIVU£7WZg.gFIRSQEVKFFIV¯WZH0FnR$NPbDGQEB$DEJLXZF&DGQEVKFIQKFIHcRSFIhQKVEWYH.FnH[\BSQFIRNYDQKB$DEJLqXYF&DQKVKFn.QKFIHcRSFn"QEVKWYHFIH NRD N&JL £7WYg.gFIRbQKVEFFIV¯WYH45aH"QEFIVKXZVK.H]hg.VKWZpIF&DKDFIH[\[email protected]]"g.VEWYpIFPDKDGFnHY]hBSFDB$JMLkBSH]hFIVcH.FnVKXYB@FpI¼]"FIVUFIBSHF&D FIRNYDQKB$DEJL2XYF&DQKVKFn.QKFIH®[email protected]\FnVKXN&H.pIFIH@.¯FIVKHNZJLRNYDEDGB@XYFIH¾>hc9DuFIVEXYBS¬QDGBJL N&R$DGW²O .V\]hBSFXYFI[2F&DKDFIH.F N&L.RSV5NQKF¼BS[ cH.FnVKXYB@FOFIHDQKFIV ¹¡ .[ ]"BSFFIRNYDGQEB$DEJL.F~BSHBSFWM

' K :

p = # G K 0 K :

K?n=

4< D.?Lp¢= # I > 0 0 : > E K?n

£7B@FF&]".pnBSFIVE.H.X]"FIV # F&JML"QEFIH%NL.R@VMN&QKFk]"VMJML # gBSRSFa.g %lBDGQ9g.VEWYgWYVEQKBSWZHNR¾pn.V # gBSRSF.g % FnBSQ= # .]hFI[[email protected]]"FIVUFIR$NZDGQEB$DKJML.FIHQEVKFI.H.X K .H]¼]"FI[±ACBSVE".HXDK.FIV5DKJML.H.B@QKQ]hFIV)57HhQKFIVEXYVKH]"g.VEWYpIF&DEDGF K >cBSH.XZF&DGFnQKpIQaBSH r&aFIVKL(NRSQa[N&HO.Vk]hBSFFIehgFIVKB@[\FIHhQKFIRRSFq_D"[\[2FIQKVEB F ]"FIVH.WZVK[\B@FIVKQEFIHNLRSVMN&QKFIH¶>

' : 8 p : 8 : 8 : 8 K? `

BSQ

= # G K D = # G K K?n¡

?`

Page 16: diplom - uni-mainz.de · "!$#&% ' ( *),+ -/./+ /00 1( 32547698;:= + '0 ?# [ _7` bdc e"gfivebs[\fihhqadgwzrsr@fih ]"b@f 4 ufib@qkvp n xyf]"fivqdgqevmn h xyf 7 4n vk d7pi ¹]"fih²¿.wyve[0o

.H]².H"[email protected]¹]"FIV «(FIVE[\F[\B@Q aV&WYZFIH.WZVM]"Hh.H.X<?n J J [ FIVEL NR@Q[NHM

' p : 5 0 p 5 p =(p Qp : 5 0 5 K?n»

H E?I»79FIVKFIHH"Q[®NH2]"BSFqWh]"B F4YN&QKB@WYH¼]"FIVU]"FIVUFIehgFnVKBS[2FIH"QEFR@RFIH_D"[2[\FQEVKB@Fu]h.VMJML£7WZg.gFIRSQEVKFFIVn> .H4] DBSH]TVEWh]".hQKFkN&D9]"FIVu~.[2BSH.WDGBSQPNQ ]"FI[ ACBSVE".HXDK.FIV5DKJML.H.B@QKQ9]"FPD57HhQKFIVEXYVE.H]"F&D K 9]"FIVNYJML"UFIB$DN&L.VMDEJL.FnBSH.R@B$JKL.FIBQ G H]°]"FnV4#Ig.BSR@F0g%DFnBSQ= #.H]XYFI¬FIH¼]"B@FkA N&L.VMDEJL.FnBSH.R@B$JML.FIBQO .Va].NYDa_7"OQEVKFIQEFIH\¯WZH # g.BSR@Flg%NH¾>

«¾FIVK[\Fq[\BSQ) p U¬FPDGQKB@[\[\FIHR@FIQKpnQKFIH]hRSB$JML2]"BSFaFIHN&.BSXZFIBSQa]"FnV~.[\BSHWDGB@Q&N&QMDdb[\F&DEDG.HX &].NBSH]"B@F&DGFIH«¾FIVK[2FIHk]"B@Fu£aB FIVKFnH.pU]"FIV9~.[\BSHWDGB@Q&N&QKFIHNhOQKVKB@QKQn>&«(FIVE[\F[\B@Q ¬F&DKJML.VEFIBS¬FIH ]"BSF Wh]"B FZN&QKBSWZHt]"FIVXZFI[\F&DEDGFIHFIH_DGh[\[\FIQEVKBF9]"VMJML0hJML" NH"bh.H.XYFnH\BSH]hFIHT WZR$NVEB$DENQKB@WYHDpIDQ&NH4]"FIH¾>«(FIVE[\F[\B@Qu]hFI[±TVKWh]".hQaN4D H] ´¬FbDKJML.VEFIBS¬FIH ]"BSFUWh]"B FZNQKB@WYHt]"VMJML0hJML" NH.h.H.XZFIHB@H\~.[\[email protected]&N&Q¾.H]T WZR$N&VKB$DENQEBSWYH¶>

BSQ K ? Iª?n B ? J[ ? v¬[email protected]&H.XYFnH.WY[\[2FIH.FIH aNQKF¯WZH´¡ZY B7p²g.VKW olNIbRSWZVKB@[\FIQKFnVK[tWh]".R a.H4] FnBSH.FIV\~[\BSH.WDGB@Q&NQ¯WYH ¡ I?n B D = J[ ? DGW&[email protected][\B@QNZJLhuFIBDG NL.V5DKJML.FIBSHRSB$JKLFIBQ ¯WZH G ?FIVEXYB@¬.QDB$JML\O .V .H] FnBSH.FkWY¬FIVEF_7¬DEJL(NQKpn.H.XO.Va]"B@F #[email protected]%kA¢NL.V5DKJML.FIBSHRSB$JML.FIB@Q¯WYH¼=2>

"imY= K?&r&

£N&¬FnB O .L.VEFIH*#gBSRSFk.g %tc ªFn"QEFBSH1KF&]"FI[ ¿N&RSRpIFnBSH.FIVaF&]""QEBSWYH¹]"FIVaFIR$NZDGQEB$DKJML.FIH_D"[\[2FIQVKBSF .DGFnRS¬DQlUFIH.H<~.[\[email protected]&N&Q.H]²T WZR$NVEB$DENQKB@WYH OVl¬FIB]"FtT WZR$NVEB$DENQKB@WYHD bVKBJLhQKH.XYFIHXZRSFIBJLDBSH] ª]ª>.L¶> p H] > H]"B@F&DGFn[^¿NRSR@FVKFP]".pIB@FIVKQDGBJL K?I»7upnM

' 5 p : 5 ?Lp K?n

NHFnVKFIH.HhQ6]N\Hh.V57HhQKFnVKXYVE.H]"gVKWYpnF&DKDF7ª]hBSFDFIRS¬4DGQa[\[email protected]_DGh[\[\FnQKVKBF¬FbLNIOQKFIQ¼DGB@H]a]"B@F FIehgFIVKB@[\FIHhQKFIRR@F_qDGh[\[0FnQKVKB@F[\Wh]"B F4pIBSFIVEFIH°¶WYHH.FIH¾>)NZJLDQKFILFIH"b]"Ft«N¬FIR@RSFpnFIBSXZQ]"B@FF&]".hQKB@WYH²]"FnV7FIRNYDQKB$DEJLFIH_D"[2[\FIQKVEBFBSH¹_7¬.LN&H.XYB@XYFIB@Q]"FnV_D"[\[2FIQVKBSF ]"F&D57HhQKFnVKXYVE.H]"FPD>._aR$D3# [email protected]%kA¢[email protected] QB$DGQ ]"BSFqWY¬FIH¬FbVKFPJL.HFIQKFWZ¬FnVKF7VEFIH.pIF¯WZH =NH.XZFIH.WY[2[\FIHuWZ¬FnBu]hFI[ XYF&DEN[tQKFIH 57HhQKFIVEXYVKH]]"B@Fa_DGh[\[\FIQEVKBF : pI.XYFPDGg.VEWhJL.FnH0B@VM]ª>h«NQMDnNYJML.RSBJLpnFIBSXZQ9DGBJL].NH".VFIBSHt"R@FIBSHFIV«¾FIBSR]"FnV)57H"QEFIVKXZVK.H4]"g.VKWZpIF&DEDGFkFIBSHF_qDGh[\[\F QKVKB@F¯FIVKXZRSFIBJLh¬N&Vu[\B@Q 5 ¬F&DBSQKpnQ6.p> >BSHFIR$NZDGQKBDKJML.FcR@FI"QEVKWZH.FIH²N4Dl]hFIVkTBSWZH.g.VKWh]h."QEBSWZH B7FnB$ Y¡ >ª£7B@FaVPWYYF 5 BDGQ]"BSFFIZXYV&WZYF7]hBSF]".V5JL #g.B@RSFg%VEF&]".pnBSFIVEQuBSV5]ª>

?I¡

Page 17: diplom - uni-mainz.de · "!$#&% ' ( *),+ -/./+ /00 1( 32547698;:= + '0 ?# [ _7` bdc e"gfivebs[\fihhqadgwzrsr@fih ]"b@f 4 ufib@qkvp n xyf]"fivqdgqevmn h xyf 7 4n vk d7pi ¹]"fih²¿.wyve[0o

: ' 5 : 5 ' K?Lp hi Z= 5 : 5 ' K?Lp hi Z» 5 : ?I 5 ' K?Lp hi =Z 5 ¿a.VUDWYR$JML.F)57HhQKFnVKXYVE.H]"gVKWYpnF&DKDF7]"[email protected] _DGh[\[\FnQKVKBF : 5 ¬F&DBSQEpIFIHYB@VM]t]"BSFFIRNYDGQEB$DEJL.F _DGh[\[\F QKVEBSFa]".V5JL #gBSRSFq.g%H.B$JML"QUVKF&]h.pIBSFnVKQI>F&NR@B$DGQEB$DEJL.FnVB$DQ0FnBSH°A²FIVEQ\]"FnV,57HhQKFnVKXYVE.H].NZDGh[\[\FIQEVKBFt¯WYH°FnBSH"b¬.BD0]"VEFIBS[®NR 5O.V]"[email protected]$DEJLFIHcRSFn"QEVKWYHFIH²NDkTBSWZH.g.VEWh]".hQKBSWZH¾>WY[2BSQR@BSFIXZQ]"B@Ft FP]".hQKBSWZH]"FIVaFIRNYDGQEB$DEJL.FnH_qDGh[\[0FnQKVKB@FBS[E uFnVKFIBJL\¯WZH=(bz»2>¾£7BSFD.DQKFI[N&QKBDKJML.F _7H]hFIVK.HX]"FIVaFIRNYDGQEB$DEJL.FnH_D"[\[tFIQEVKBSFaZNH.H²]h.VMJMLXZRSFIBJL.pnFIBSQEBSXYFPDuF&DEDGFIH¹]"FIVaBSH.FIRNYDQKB$DEJL¼XYFbDGQEVKFIQKFIH [email protected] NL.VEFIH]°]hF&D\ce"gFIVEBS[\FnH"Q5DDGQE]"B@FIVKQtuFIV5]"FIH¾>[email protected]&DEDG.HX]"FIV_D"[2[\FIQKVEBFN&RSR@FIVk¬FnQKFIB@RSBSXZQKFIH5aH"QEFIVKXZVK.H]hg.VKWZpIF&DKDF[\BSQ ?I aFIHNBSXYFnBSQk]"FnVXYFn[\F&DKDFIH.FIHt_qDGh[\[\F QKVKB@F ' FIVKXZBS¬[email protected][N&QKB$DEJLFIHt¿.FIL.RSFnV O .V 5 ¯WYHtuFbH.B@XYFIVaN&R$D= BaFIB$ Z¡ > [B]"F&N&RSFIH¼¿NR@RªB$DQ p .H][\BSQ M

p K?n

= =Z

B$DQa]"BSFkFIehgFIVKB@[\FIHhQKF RSRFa_D"[\[2FIQKVEB FkM ' p : 5 " = = 5 =(p = : 5 =h?

£7B@FWh]"B FZNQKB@WYH²]"FnV7FIehgFIVKB@[\FIHhQKFIR@RFIH\_qDGh[\[\FIQEVKBFk]".V5JL FnVKXYB@¬.QqDGB$JMLN&D]"FnVgN&VKQKB@FIRSR@FIH_7¬[email protected]¯WYH =h? UHNYJML¼]"[email protected]@H.FIHTN&VMN&[\FIQKFnVKH¾>_7¬.¬BSR$]h.H.X¡lpIFnBSXYQU].NZD39FIVKLN&RSQEFIH0¯WZH ' ¬[email protected]@FIRSR@FIHt_7¬[email protected]¯WYH =h? HNZJL ¬FIBOF&DQKFI[ >_7hOXYFIQEVMNXZFIH\BDGQ]hBSFaFIe"gFIVEBS[\FnH"QEFIRSRF_qDGh[\[\F QKVKB@[email protected] bQKFnH¯WYH 5 CXZFIXYFnH >hc9DfVM]"FuO .V ]hFIVBSH K?&r&¬FIVKFPJL.HFIQKFUA FIVEQ¯WYH "[email protected]&DFIQKpnQI> 5a[ FnBSH.F\WZ¬FIVKF²_7¬4DKJML NQEpI.H.XO .V2]"B@F aFIHN&.BSXZFIBSQ ]"FIV~.[\BSHWDGB@Q N&QMDdb[\F&DEDG.HXpIXZFIBSH.HFIH..V5]"FO .V]hBSFT WYRNVEB$DKN&QKB@WYHFnBSHA FnVKQ¯WYH¹Y±.H4]®O .Vq]"BSF57HhQKFIVEXYVE.H].NZDGh[\[\FIQEVKBFFIBSHA²FIVKQ¯WZH : 5 N&H.XYFIHWY[\[\FnH¾>¿.WYV5]"FIVKQk[N&H].N¹]"BSFtFIehgFIVKB@[\FIHhQKFIRRSF_D"[2[\FIQKVEBF]".V5JL².HhQKFIV5DKJML.BSFP]"RSBJL.F~.[2B bH.WDGBSQPNQEFIH0B@H .H] O .VU]"BSF¯FnVMDKJML.B@F&]"FIH.FnHT [email protected][\FnL.VNRD0?^[2Wh]"B FpnBSFIVEQBSV5]¾YN&H.H [N&H [2BSQB7BSROFt]"FIVkgNVEQKB@FIRSR@FIH²_7¬[email protected]¯WYH =h? HNZJL ]hFIHA FIVEQuO .V ¬FnVKF&JML.H.FIH M

5 hi h? ' I pri zrP=@IZ?I 5 =Z=

pk?Zi =Y¡&`8IZ?I ?I»

Page 18: diplom - uni-mainz.de · "!$#&% ' ( *),+ -/./+ /00 1( 32547698;:= + '0 ?# [ _7` bdc e"gfivebs[\fihhqadgwzrsr@fih ]"b@f 4 ufib@qkvp n xyf]"fivqdgqevmn h xyf 7 4n vk d7pi ¹]"fih²¿.wyve[0o

B7B@FIVMN&DuFIVKL(NRSQ[®NH0O.V N4D E?I¡ M

p

= # G K p7hiS?nY» I?IAB ? =Z

¿a.V]"B@Fu[N&e"B@[NR&FIVER$N¬.QKFahJLhN&H.h.H.Xk]"FnV B@H"QEFIXYVEBSFIVEQKFIH~.[\[email protected]¾BSH2?IZYQKH"b]"FIHFIVEXYB@¬.QaDGBJLM

C»hi =zrP=@IZ?I =&`

c9D7B$DQH.BJLhQN&H.pI.HFIL.[\FIH@].N¼]"B@F0~.[\[email protected] NQa.H]DGgFIpnBSFIR@R]"B@F0~.[2BSH.WDGBSQ NQ5DG.H"bQKFnVMDKJML.B@F&]"F NL.VEFIH]C]"FnV0XZF&DKN&[0QEFIHCFIZpIFIB@QWYHDQMNHhQDFIBSH uFIV5]"FIH9]"FPDGLN&RS¬CBSV5]XYF OWYVM]hFIVKQ9"]Nt]"B@Fl~.[2BSH.WDGBSQ NQ9[\[email protected]@XYFIB@Q9¯WYH? In?I XYFI[\FPDKDGFnH0B@VM]ª>c9DlB@VM]²].NH.H<[email protected]@¬ h> =Y¡FIh.H]"FnH ]"B@F0H WYQKB@XYFaFIHNBSXYFnBSQk¯WYH¢»"im=zr&= I.?n FIVEVKFIBJLhQI> uFIBq]"FIV2BSHC]hBSF&DFIV_7VE¬FnBSQtFIVKVEFIB$JML"QEFIHCaFIHNBSXYFnBSQtBSH]"FIV¼~.[\BSHWDGB@Q&N&QMDdb[\F&DEDG.HX¯WZHC? I.?n B DBSFILF\okNgBSQKFnRu»h>S? .V5]"F]"B@F0XZFOWYV5]"FIVKQEFaFIH4N.B@XYFIB@Ql¯WZH»"im=zrP=@IZ?I [email protected]@¬\¯WYH,t¹=Y¡FI"H]"FIH\FnVKVKFnB$JML"Qn>

_7¬.¬BSR$]h.H.X¢¡M . PHZ\&U$ i P^S 'WS ' "FP P S PHZV[UWZ$i P P^S e " P ijaS 'WS * SUWl^\ "FP 9PgHiPHT ea P$ijZU PHS gHiVd P*P! $[]PHZ T PHSiP P,e g RETVT P$i Z P S 0 SW\]P i P^S'WS 5 P PHS HS&77aZdP aZ dPHZ S , "FPHZ$P'l^\&S P$iP,PHZ^i 'WS "imY=P SPg9P$iI_Hi 57[ FIBSHF_7¬DEJLN&QKpIH.X²].NVZ.¬FIVpI<FIVELNR@QKFIH¾B@FXZFIHN& [®NH<]"B@F#Ig.BSR@F0g%bd7N&QKF[\F&DEDGFIH2[0. .DFIB¾]"B@F F&]h."QEBSWZH]hFIVFIehgFnVKBS[2FIH"QEFIRRSFIHt_qDGh[\[\FIQEVKBFa]".V5JL #[email protected] %

?r

Page 19: diplom - uni-mainz.de · "!$#&% ' ( *),+ -/./+ /00 1( 32547698;:= + '0 ?# [ _7` bdc e"gfivebs[\fihhqadgwzrsr@fih ]"b@f 4 ufib@qkvp n xyf]"fivqdgqevmn h xyf 7 4n vk d7pi ¹]"fih²¿.wyve[0o

BS[ uFIVKFnB$JML¬.BDl¡[email protected]&NV NH.XZFIH.WY[2[\FIH¾>NH²FIVKL(NRSQO.V]"B@F\aFIHNBSXYFnBSQk]"FnV# [email protected] %F&DEDG.H.XFnBSH.FIH<A²FIVKQ¯WZH "> h?` BSH?IZY QKH]"FIHU]ª>L¾>9]hBSFoFIH.HhQGbH.BD7]"FnV£7WZg.gFIRSQEVKFFIVEN&L.VMDEJL.FnBSH.R@B$JML.FIBQ9B$DGQa[\B@Q= h> "? `^H.WZQGUFIH]"B@X.>.ACB@F&]"FIV.V5]"FXYFOWZVM]"FnVKQ6].N&]"BSFFIehgFnVKBS[2FIH"QEFIRRSFq_DGh[\[\F QKVEBSFq]".V5JL¼.H"QEFIVMDEJLBSF&]"R@B$JML.Fk~"b[\[email protected] N&QKFIH¢BSH .H] O .V2]"BSF2¯FIVMDEJL.B@F&]"FIHFIH TWYR$N&VKBDKNQEBSWZHDGVEB$JML"QE.H.XYFnH HB$JML"Q[\FILVN&R$D?^[\Wh]"B FpIB@FIVKQaBSV5]ª>¾£7B@F,#gBSRSFg%2cfVEFIH.Hh.H.XBSV5]BS[ 7N&L.[\[email protected]£7BDKDGFnVKQMN&QKB@WYH¯WZH>otWY¬.BDuVKF&N&RSB$DBSFIVEQ o WFP zr >)S)$* #&!z':&!":I#&!¾%,.¥ :&,"#Pv-IÄ&Í!sU% ;< w-I$#hy,"# HolN&g.BSQEFIRh> h>S?9.VM]"FU]"B@F 9FIVKFnBSH"O NZJLh.H.XUXYFI[NZJLhQ6 ].N&]hBSFu~.[2BSH.WDGBSQ NQ .¬FIV¾FnBSH.FIH?ª[DTfR$D WZHDGQ5NHhQ BDGQn>¿NRSRD]"B@F7~.[\[email protected] NQ9N&¬FnV [email protected]@¬t]"FIV?[D hJML" NH.h.H"bXYFnH.H"QEFIVKUWYVOFIHBDGQ6.O .L.VEQk]"B@F&D pnWh]"B [email protected]²]"FIVFIehgFIVKB@[\FIHhQKFIRR@FH_qDGh[\[\FbQKVEBSF>_74JL²uFIHH FIBSHF\FIXYFnRS.H.X¹]"FIVRSBSHF&NVEFIH «¾FIVE[\FtN"OqWY¬FIH<¬F&DEJL.VEBSFI¬FIHFIH-aB b¯F&N&FIVOWYRSXZQ6]ª>L¾>]"BSF ¿ R NZJLFIH¼]"FIV?ª[[email protected]$DFN&"Oq? I?I XZRSFIBJLDBSH] ¶WYH.H.FnHt]"BSF9BSHhQKFnXYVKB@FIVKQEFIHz4NY]"V5NQKBDKJML.FIHt~.[\BSHWDGB@Q&N&QKFIH¯WYH.FIB@HNH4]"FIVN¬huFIBJL.FnH¾>&£7BSF uFIpIFnB$JML.H"H.XYFIH®]"FIVaF&JLFIH.XYVPWYZFIHDWYRSR@FIH¯WYH¹]"FIV uFIVKF&JML.Hh.H.X ]"FIVaRSBSHF&NVEFIH¼«(FIVE[\F.¬FIVEH.WY[\[2FIH\uFnVM]"FIH¶>_7R$DpIDnNQKpnRSB$JML.Fk_aH.HNL[\FkBSVM]XYFI[®NYJML"Q9.].N&\NL.VEFIH]]"FnV#[email protected]%,FIB@Q= # ´`HDk]"BSFt~.[\BSHWDGB@Q&N&Q7XZFIH.XZFIH]WYH4DGQMN&H"QqB$DGQq.H]DGWZ[\BSQFnB bH.Fa¿[email protected]]hFIVu~.[\[email protected][\BSQ]"FIV # [email protected] % FIB@Q H]0]hFIV9FIZpIFIBSQH.WZQGUFIH]"B@XB$DQI>

NH¢FIVKLN&RSQkO .V]"B@F\«¾FIB@R$JML.FIH.p&N&L.R¬FIB9gWDBSQKB@¯FIVTWYR$N&VKBDKNQEBSWZH; DBSFIL.F K?nkBS[ FIB@QGbBSHQKFIVE¯YN&RSRa¯WYH ?ª[D.H"QEFIV]"FnV\]"FnV_7H.HN&L.[\F79]N Hh.V#gBSRSF¼.g%²¯WYH [email protected][\BSQ257HhQKFIVEXYVE.H]"FIVEFIBSXZH.B$DEDGFIH2BS[^cH.FIVEXYB@FOFIHDQKFIVURSBSFnXYFIHM

' 4< p ' 5 : ' =Z¡

K K

:

p K

= # G K " K :

=Z»

£7B@FB@QKQEFIRSUFIVKQEF7¯WZH CH] ? NL.VEFIH]FnBSH.F&Da?ª[DcRSFn"QEVKWYHFIH.g..RDGF&DUDGB@H]rM

?

K

=r&

? ?

K

? =Z

_7"OaWZ[0¬BSH.B@FIVKQEFtcFIhQKF ]"B@F\¯WYH ¿ R@."QENQEBSWZH.FIH<]"FnVtT WYRNVKBDKN&QKBSWZH<BSH.H.FnVKLN&RS¬<]"FnV?ª[D9L.FIVEVZ.L.VEFIHhBSVM]\B@[jaNL.[2FIH\]hBSF&DFIV_7VE¬FIBSQUH.B$JML"Q9HN&[email protected]¾>¿a.Va]"BSF«¾FIBSRJL.FnH.p&NLRB@H²?ª[DuFIVELNR@Q[NHDWY[\B@Q]"VMJMLFnBSHDFIQKpIFnH\¯WYH =r& =YUBSH =Y» M

?I

Page 20: diplom - uni-mainz.de · "!$#&% ' ( *),+ -/./+ /00 1( 32547698;:= + '0 ?# [ _7` bdc e"gfivebs[\fihhqadgwzrsr@fih ]"b@f 4 ufib@qkvp n xyf]"fivqdgqevmn h xyf 7 4n vk d7pi ¹]"fih²¿.wyve[0o

' K :

p= # G K " K :

=Z

£7B@FF&]".hQKB@WYH]"FIVXYFI[2F&DKDFIH.FIHk«¾FIB@R$JML.FIH.p&N&L.R]h.VMJML4#gBSRSF9.g %BSHFIBSH.Fn[ FIBSQEBSHhQKFIVE¯ZNRSR¯WYH²?ª[®Du[\BSQ > 0 0: > N&D UB$DQaNR$DWM

' 4< ?Lp = # I > 0 0: > ? 01 Z

£7B@FF&]".hQKB@WYH]hFIV #IF&JMLhQKFIH % N&L.RSV5NQEFg.VEW FIBSQEBSHhQKFIVE¯ZNRSR¯WYH<?ª[®D BDGQag.VKWZgWZVKQEBSWYH4NRpI.V #[email protected]%4FIB@Qu= # pI.V 7N&QKFk]"FnV57HhQKFIVEXYVE.H]"g.VEWYpIFPDKDGFa.H]\B@[ FnVKXYR@FIB$JMLpI K?nHh.H¼NJMLpI¼]"FI[ a.WZQKBSFnH"QaN&D 9.H] ? >£7B@F¬FIB]"FIH7VPWYZFIH .H] ? UFIVM]hFIH .¬FIV\]hBSF UN&VKB$N&H.p\OWYR@XYFIH]hFIVK[N&YFIH[\B@QKFIB@HNH]hFIV9¯FIVKhH.g"OQ M

Qp ? , ? ? Qp ? h?

DGQ]"B@FUNVEB$N&H.pXYR@FIB$JML7.R@R ¾DWVKFP]".pIB@FIVKQkDB$JML Zpn E?I0]"B@Ft]"FIH²[email protected]&NVEFIH¢¿N&RSR¬F&DKJML.VEFIBS¬.Qn>

ACBSFqXYFIHN&[ DKDFIH\Hh.H]"B@FkNY]"V5NQEB$DKJML.FIH®«(FIVE[\F ? 9BSH]hFIV7~.[2BSH.WDGBSQPNQUXYFI[\FPDdbDGFnHUFIVM]hFIH £aBSFkFIehgFnVKBS[2FIH"QEFR@RSF _DGh[\[\FIQEVKBFH.WZVK[\B@FIVKQ N"O~[\BSH.WDGB@Q&NQUR$N&.QKFIQ M

' : p : : : Z=

cBSHDFIQKpnFIH\¯WYH =r&UBSH* Y=UFIVEXYBS¬QyM

' : p : : : Z

BSQ C= # G K C` I?I KJ[ ? D FnVKL N&RSQ[N&H0O .Va]"B@FlFne"gFIVEBS[\FIHhQKFnR R@Fa_DGh[\[\F QKVEBSFEM ' p

: 5 p 5 p =rp p : 5 5 &`

?I

Page 21: diplom - uni-mainz.de · "!$#&% ' ( *),+ -/./+ /00 1( 32547698;:= + '0 ?# [ _7` bdc e"gfivebs[\fihhqadgwzrsr@fih ]"b@f 4 ufib@qkvp n xyf]"fivqdgqevmn h xyf 7 4n vk d7pi ¹]"fih²¿.wyve[0o

£7B@F&DGFa¿.WYVE[\FIRhFIVKRN.¬Q6N&Du]"FnVXYFI[2F&DKDFIH.FIH _DGh[\[\FIQEVKBFU]"BSFFnR$NYDQKBDKJML.F_D"[2[\FIQKVEBFpI Fne"QEVMNLBSFIVEFIH¾>¾£7B@FaV WYYFnH ' D ? D D uFIV5]"FIH²BS[ cehgFnVKBS[2FIH"QqXYFI[\FPDKDGFnH¾> [aNL.[\FnHk]"BSFPDGFIV_7VE¬FIBSQ.VM]"FUFIBSHF9F&DKD.H.Xa¯WYH ¯FnVKBSVE"R@B$JML"Qn>McBSH.FUF&DEDG.HX¯WYH ? B$DQ[ WYXZRSB$JMLt]".V5JL®Wh]"B FZN&QKBSWZH¼]"FIVFIR@FI"QEVKWZH.B$DEJL.FnH\hJL4NRSQE.H.Xt]"FPD BSH®]"BSFbDGFnV_7VE¬FIBSQFIHhQB$JMFIRSQEFIH2TfVEWYQEWYQ"gFIH¹]"F&Dl~[\BSH.WDGB@Q NQ5DG[\WZH.BSQEWYV5D>.£aBSF¿.WZVK[\FIRuFIBDGQ]"B@F&DGFIR@¬FlQEVK.hQKVuN&"OBSF K?I»7M>BSFaFIHhQKL N&RSQU«(FnVK[\F7]"BSFq]"BSFaXYFn[\F&DKDFIH.Fa_D"[2[\FIQKVEBF]".V5JL¼hJLhN&H.h.H.XYFnHB@H]"FIVa~.[\[email protected]&N&Q6]"FIVaT [email protected]]]"Fn[jTVKWh]h."QaN&D¬FIB$]hFIH¬FnFIBSH4DKDFIH¾>

FIB ]"FIVB$]"F&N&RSF2¿NRSR NH.XZFIH.WZ[\[\FIH¶].N²¬FIB$]"F®T WYRNVKBDKN&QKBSWZHDGpnDGQPNH]"FXZRSFIBJL.F2T WZR$NPbVKB@[\FIQEVKBSFL4N¬FIHM p > ' p p : 5 = 5

=(p : 5 p Z¡

cVMDFIQKpIQ[®NH«¾FIVK[2F[\BSQ ? U]".V5JL H]]"B@FuN&VKBNH.pB@H (M , ? M Qp ? , ? ? Qp ? D Z»

DGWtFIVELNR@Q[NHM

' p : 5 " = = 5 p

p : 5

=rp = : 5 p

) : 5 p ) zr

£7B@F²Wh]"B FZN&QKBSWZH´]hFIVFIe"gFIVEBS[\FnH"QEFR@R FnH°_qDGh[\[\F QKVKB@F]".V5JL]hBSF²TN&VMN[2FIQKFIV 0 0 , H] , FIVEXYBS¬QDGBJL2BSF&]"FnVK.[±N&D]"FIVUgNVEQKBSFnRSRSFnH\_7¬[email protected]¯WZH* r&HNZJL¢]"FIH¢TNV5N[\FnQKFIVEH¾>ªc9DB$DQkpIuF&JMh[ NZBSX ]hBSFtWh]"B FZNQKB@WYH<]hFIVFIehgFIVKB@[\FIHhQKFIR@R FnH_D"[\[2FIQVKBSF[2BSQ

$ $ Qp pIgN&VMN&[\FIQKVEB$DBSFIVEFIH&].N]hBSFaWh]"B FZNQKB@WYHt¯WYH ' ]".V5JL ¾[\B@Q]"FI[ ¯FIVKUFIH]"FIQEFIH£7FIQEFIhQKWYVE[NQEFIVKBNRXYFIXZFI¬FIHBDGQa.H]H.BJLhQ¯FIVK[2BSF&]"F H\UFIVM]"FnHZN&H.H¾>¾Wh]"B FZNQEBSWYHFIH]".V5JL 0 , .H] , ¶WYH.H.FnHtNRSR@FIVM]hBSH.XD¾]".VMJMLXZFIHN&.FF&DEDG.HX7.H4]0QMN&¬.BSR@B [email protected]¬FnXYVKFnH.pIQUFIVM]"FnH¾>7 uFIB]"FIVg4NVKQEBSFIR@RSFIH _7¬[email protected] B$DQ9pI¬F&NYJML"QEFIH].N&M

= # G K p = # G K

=

=Y

Page 22: diplom - uni-mainz.de · "!$#&% ' ( *),+ -/./+ /00 1( 32547698;:= + '0 ?# [ _7` bdc e"gfivebs[\fihhqadgwzrsr@fih ]"b@f 4 ufib@qkvp n xyf]"fivqdgqevmn h xyf 7 4n vk d7pi ¹]"fih²¿.wyve[0o

FI¬FIH"O N&RSRD¯WYH " N¬LNH.XZFIH¾>U£7BSFgN&VKQEBSFIR@RSFIH¢_7¬[email protected] HNYJML q¬FnBOF&DQKFI[ , , FIVKXN¬]hFIH\B$]hFIH"QEB$DEJL.FnH4 FnVKR$N&"OBSFB@H\_a¬.¬.BSR]".H.X¡, NM>h¿.WYV5]"FIVEQ[N&HBSFP]"FIV6Z].N&]hBSFuFne"gFIVEBS[\FIHhQKFnR R@F_qDGh[\[\FIQEVKBF9]".V5JLthJML" NH.h.H.Xk]hFIV[\B@QKQKR@FIVKFnHBSHhQKFnXYVKB@FIVKQEFIH\~.[\[email protected] NQuB@H?ª[D9H.B$JMLhQ [2FIL.V9N&R$D? [\Wh]"B FpIBSFnVKQUFIVM]"FnHhDGWFIVEL NR@Q[N&H0O .Vq]"BSFk£aB FIVKFnH.p]"FIV)#g.B@RSFg%A¢[email protected] M

´?Zi =Z¡` I?I ¿a.VU]"B@F7[®NehBS[N&RFIVKRN.¬.QEFlzJLhN&H."H.XkBSH¼?IYZ0QKH]"FIH]hFIV9BSHhQKFIXZVKBSFnVKQKFnH0~.[\[email protected]@Q&N&QKFIHFIVEXYBS¬QaDGB$JMLBSF&]hFIVBM

C»hi =zrP=@IZ?I

NH¢FIVKLN&RSQDGWZ[\BSQqFIBSH.F _aH]"FIVE.H.Xpn ]"Fn[ WY¬FIH ¬FIQEVMNYJMLhQKFIQEFIH pnFIBSQE.HN¬LNH.XZBSXZFIH¿NR@RND_7¬4DKJML.H.BSQEQa">m">S?Z>

_7¬.¬BSR$]h.H.X» NapIFnBSXYQ ].NYD 9FIVKL4NRSQEFIH¯WYH ' ¬FnB g4NVKQEBSFIR@RSFIVq_7¬[email protected]\¯WZH r&HNZJL , .H4] _7¬¬.BSR]".H.X¼»D¬aHNYJML gN&VKQEBSFIR@RSFIVq_7¬[email protected]¯WYH r&H4NYJML , >_7"OXZFIQKV5NXZFIHCB$DQ1KFIuFnBSR$Dt]"B@FFIehgFIVKB@[\FIHhQKFIRRSF®_DGh[\[tFIQKVEBSFtBSHcBSH.LFIBSQEFIH°¯WZH 5 XYFnXYFIH , >ª¿aV U.VM]hFt]"FIVWZ¬FnH¬FnVKF&JML.H.FIQEFA²FIVKQa¯WYH<?Zi =Z¡` Ih?I FIBSH"bXYFPDGFIQEpIQI>£7BSFaFIVMNZ]"FIHN&H.gNZDKDGH.XYFIHB@H¼_7¬.¬.B@R$]".HXt» N ¬UDGQEBS[\[\FnH.¬FIVKFIB@H¾>_7DHM

' , ? , ? 5 Z

FIVELNR@Q[NH0OV]"B@F UNVEB$NHplB@H~QM

, ? , ? »"im=zr& I?I Z

A NLVKFIH]¼]"FIVa£N&QKFIHHNL.[2Fk].NVOU]"B@F UNVKBNH.pkB@H CB@H²?IYZQE.H]"FIHLWJL4DGQKFnHD

, ? , ? C=hi ¡YZ¡@IZ?I B v`

¬FIQKV5NXZFIH¾.[ ]hBSFFIehgFIVKB@[\FIHhQKFIRRSF _DGh[\[\F QKVEBSFk]"VMJML hJLhN&H.h.H.XYFnHBSH²]"FIVk[\B@QKQbRSFnVKFIH²~.[\BSHWDGB@Q&N&QBSH<?ª[DH.BJLhQ[\FIL.VaN&R$Dk?jpn[\Wh]"B FpIB@FIVKFIH¶>.£7B@F&D7FIVOWYVM]hFIVKQq]"BSFBSHhQKFnXYVKB@FIVKQEF¼zNZ]"VMN&QKBDKJML.F ~.[2BSH.WDGBSQPNQt[\BSQFnBSH.FIVaFIHN&.BSXZFIBSQt¯WYHnt » I?n pI[\F&DEDGFIH¶>

="?

Page 23: diplom - uni-mainz.de · "!$#&% ' ( *),+ -/./+ /00 1( 32547698;:= + '0 ?# [ _7` bdc e"gfivebs[\fihhqadgwzrsr@fih ]"b@f 4 ufib@qkvp n xyf]"fivqdgqevmn h xyf 7 4n vk d7pi ¹]"fih²¿.wyve[0o

N ¬

_7¬.¬BSR$]h.H.X»M jU _9P hiydWU g. PHZ\&U$ iPHS 'WS ' "FP [&UWZ^i P PHZ e " P i aS 'WS , SUWl^\ , " cSUWl^\*[&UWZ$i P PHZ`e " P i aS WS , S&UWl^\ , ea P$ijZU PHS gHi9P87 P g d PP $[]PHZ T P^Si P Pye g RETVT P$ijZ P S 0 S \]P i PHS WS 5 P P^S , PY(PHZUWdP^SUWS [&U g$g aS PHS S jU " gHi TVT PHS a "FPHZ^P S

)S)@) \,.%; ¦t Å!hv!ÊU!"Ū#P!7.HtDWYR@R.¬FIQKV5NYJML"QEFIQ UFIVM]hFIHUFIR$JML.FIV DEN[\[2FIH.LN&H.X7pnB$DKJML.FIH ]"FIVXZFI[\F&DEDGFIHFIH~"b[\[email protected] N&Q J H"QEFIV¡ .H]]"FIVa~.[\BSHWDGB@Q N&Q B J .HhQKFIV Y¡ ¬FPDGQKFnL"Qn>.£7B@FXYFI[2F&DKDFIH.FF&NhQKB@WYHDVMNQEFkB$DGQa]N¬FIBFIBSHN&O Va]"BSF~.[\[email protected] NQI>WY[2BSQuXZBSR@QBM

J I B J v`?

J I B J v`=

A²WY¬FIB 7WYVE[\BSFnVK.H.XDdO N&"QEWYVKFnH DBSH]ª>ACBSF\XZFIHN&°[t.[NH<]hBSF&DF7WYVE[\BSF bVKH.XD O NhQKWYVEFIHCFIH.HFIH.[ N4JL L.BSFIV2]"B@FXZFI .HDEJLhQKF²aFIHNBSXYFnBSQt]"FIV~.[\[email protected]@Q&N&QMDG[2F&DKD.H.XpI\XNV5NHhQKBSFnVKFIH BNg.QK.V5DKNZJL.FaO .Va¿.FIL.RSFnVuBS[ 7WZVK[\[email protected] N&"QEWYVDGB@H]hJMLhNH".HXYFIH]hF&DcRSFIhQKVEWYH.FIH4DGQKV5NL.RD> .[FnBSH.FIHtZNH.H¼]"FnVcRSFIhQKVEWYH.FnHDGQEVMNLR.[ DGFnBSH.FpIFIHhQKV5NR@F ~N&XYF²DEJLhN&H.FIH9]"[email protected]¼¬FIpIFIBJL.HFIQB@VM]ª>3.[NH4]"FIVKFnH\ZNH.H¼]"FIVaQKV5NL.RH.B$JMLhQ9DGFIH"VEF&JLhQUN"O]NYD«NVKXZFIQQKVEFFIHhDGWZH]"FIVEH.H"QEFIVuFnB bH.FIVhRSFnBSH.FIH®_7¬"UFIB$JMLh.H.Xk¯WYH¹ Y >ªFIBSFIH®NR$Da_7¬DEJL(NQKpn.H.Xt]"B@FDEJLRSBS[2[\DQK[¹WYXYR@B$JKL.FnH¿N&RSRSFN&H.XYFIHWY[\[\FnHMh_7R$D7hJMLhNH".HXt]"F&[email protected]¯WYH]hFIV)7.R@R$NXZFkFIBSH.F_7¬huFIBJLh.H.Xa¯WYH ¹="> ¡[\[ .H4]0N&R$D9cBSH"O N&RSR$DBSH.FnR"[email protected][N&e"B@[NR@Fu_a¬"UFIB$JML"H.X7¯WZH¹">S? >¬FIVEF&JML.H.FIHDGB@H]]"B@Fu«¾FIB@R$JML.FIH.V5NQKFnHI]"B@F]"FnH0~.[\[email protected][\WYHBSQKWZV¾.HhQKFIV¡ 6YDWB@F].NZD7okNR@WYVEBS[\FIQEFIV9.HhQKFIVaZ¡ QKVKF ªFnHD [email protected]¼okNg.B@QKFIRh> ` M

=Y=

Page 24: diplom - uni-mainz.de · "!$#&% ' ( *),+ -/./+ /00 1( 32547698;:= + '0 ?# [ _7` bdc e"gfivebs[\fihhqadgwzrsr@fih ]"b@f 4 ufib@qkvp n xyf]"fivqdgqevmn h xyf 7 4n vk d7pi ¹]"fih²¿.wyve[0o

J J v`

B J B J G G v`Z`

B$DQ]"FnVaN.[tBSHFIR]"F&Dl~.[2BSH.WDGBSQPNQ5DG[\WZH.BSQEWYVMD8 G ]"FnVaN.[tBSHFIR]"F&DaolNIbRSWZVKB@[\FIQKFnVMD>

NHFIVEL NR@Q6].N&<FIBSH.F zJLhN&H."H.X<]"F&DcRSFn"QEVKWYHFIHDGQEVMN&L.R$D0[ ]"[email protected]_7H]hFIVK.HX]"FIV NL.R@VMN&QKF¯WYHC?Z> ` I[2[ ¬FnBSVKhQI> uFIB ]"FIV NH.XZF&DGQEVKFI¬.QEFIH°aFIHN&.BSX&bFIB@Q]"FIV~[\BSH.WDGB@Q NQ5DG[\FPDKDGH.X[t.]hBSFQEVMN&L.RSRNXYFn[\F&DKD.H.X[\[email protected]&.BSXZFIBSQ¯WYHtZ» % [B@H\?nYYQKH]"FIHFIVOWYR@XYFIH&.[ ]"BSF [email protected]]"FIVuQKVMN&L.RSRNXZF&DKJML" NH"bh.H.XYFnH N&"Oa]"B@F7WYVE[\BSFnVK.H.X2]"FIVqFIe"gFIVEBS[\FnH"QEFIRSRFIH_qDGh[\[\FIQEVKBFN"O ]"BSFB@H"QEFIXYVEBSFIVEQKF~.[\[email protected]@H.FIVUNRDl? pILNR@QKFIH¾>£7B@F hJML" NH.h.H.X¢]"F&Dt_7"[email protected]$D]hF&D0cR@FI"QEVKWZH.FIHDQKVMN&L.R$DtNhO]NYD\«NVEXYFIQ\¬FbBSVE"QUFIBSHF _7H]"FnVK.H.X ]"FIV N&L.RSV5NQKFq¯WYH¼= I[\V5NY]ª>hc9D [t.DGBJLFIVKXZF&DGQEFIRSR@Q9DGFIB@H.]N]"B@FkF&DKD.H.Xt]"FPDu_7"[email protected]$D9]"[email protected]=Z¡ % V5NY]B@H?IZY\QKH"b]"FIH2XYFIHN&\FIVOWYRSXZQ6.[ _7DBSVKh.H.XZFIH]"FPD _a"OQKVEFBSH.FIRD9N"O]"B@F aWYVK[2BSFIVE.H.Xk]"FnVFIehgFIVKB@[\FIHhQKFIRRSFnH²_DGh[\[\F QKVEBSFtNhOk]"B@FBSHhQKFIXZVKBSFnVKQKF~.[\[email protected]@H.FIVNRD? pILN&RSQKFnH¾>

=Y

Page 25: diplom - uni-mainz.de · "!$#&% ' ( *),+ -/./+ /00 1( 32547698;:= + '0 ?# [ _7` bdc e"gfivebs[\fihhqadgwzrsr@fih ]"b@f 4 ufib@qkvp n xyf]"fivqdgqevmn h xyf 7 4n vk d7pi ¹]"fih²¿.wyve[0o

I4 ?#&+ (<(+&- (+ (0(-/ # 7#0 =(..V) uF&DQKB@[\[.H.X]"FIVk~.[\[email protected][¢DEDGFIH2pI.HNZJLDQ]hBSFQKVEFI.g.VEWYpIFPDKDGFk¬FIQEVMNYJMLhQKFIQuFnVM]"FIH¶>ª£7B@FBJLhQKB@XDGQEFIH* uFnBSQKVPNXZF.HhQKFIVq"[email protected] 9WZVKNVEQMDBSH.FIR@H ?n R@BSFOFnVKH]"B@F0FIRNYDQKB$DEJLFQEVKFI.H.XH]<]"[email protected].>_7R$D57HhQKFnVKXYVE.H]"gVKWYpnF&DKDF\QKVEFIQKFIH]"B@FNZDGBSFnR$NYDQKBDKJML.FQKVEFI..H.X¢NH_aRS.[\[email protected][ .H] [email protected]$DEJL.F¼QKVEFI..H.X N"OE>[email protected]@H.F7H"QEFIVKXZFIWYV5]"H.FIQEFWYR@RSF7DBSH]BS[ 9FIVEXYR@FIB$JMLpI2]"FIV9FIR$NZDGQEB$DKJML.FIHQEVKFI"b.H.XH] pI.V [email protected][ aV WZYFIHWYVM]hH".HXYFIH "[email protected]] UFIVM]hFIH<]"F&DLNR@¬¯FIVEHNYJML.R NZDKDBSXYQ DBSFILF_a¬.¬.BSR]".H.X ?Y? NM>_aRSRSF2FIVK N&L.H"QEFIH´QEVKFI.gVKWYpnF&DKDFDGB@H] B@H_7¬.¬BSR$]h.H.X¼?Y?, NUFIBSH.pnFIRSH]NVKXZF&DGQEFIRSR@QI>£7BSFaNQEF]"FIVqNYDBSFIRNYDGQEB$DEJL.FnH QKVKFn..H.XN&H_7R@.[\BSHBS.[ .VM]hF²]"FIV2£7B$DEDGFIVEQMNQEBSWZHC¯WYH [email protected]"bdoWYHDEJL4N B7FnB$ Y¡ FnH"QEH.WY[\[2FH¾>£7B@FaNQEFk]"FIVUTBSWZH.g.VKWh]h."QEBSWZHN&H\A¢NYDKDFIVMDQKW&².VM]"Fa[\B@QFIBSHFI[±TVKWYXZVMN&[\[¯WYH­>BN&[email protected][ Wh]"FIRSR¯WYH²~>«uB$NQEWYV «uBNYY-¾¬FIVKF&JML.H.FnQI>)S1 /\-©;<;<!z#&:&$!h °¥!"#&:&!"%8:w!h-I-I!h£7B@[email protected]&QKFIH@]"B@F\N&"Ok]hFIH°~.[\[email protected][\WYHBSQKWZVkQKVKF ªFnH ¶WYH.HFIH DGFIR@¬DGQFIBSH.F_D"[\[2FIQVKBSFa¬F&DGB@QKpIFnH¾>c9D7B$DQk].NV5N"OUpI¹NYJML"QEFIH].N&¼]"BSF]"WZ[\BSH.B@FIVKFnH]"FIHQKVKFn.g.VKW&bpIF&DEDGFBS[ ~.[\BSHWDGB@Q&N&QMDG[2WYH.B@QKWYVFIBSHF_qDGh[\[\FIQVKB@F ` I?I DQMNQEB$DQKB$DEJLF aFbHN&.BSXZFIBSQ ]"F&D_7`&bcehgFnVKBS[2FIH"Q5D q¬[email protected]\[email protected]®_DGh[\[tFIQKVEBSFN&R$Dt]"BSFNHXYF&DQKVKFn¬.QKFaFIHN&.BSXZFIBSQa]"FnVFIe"gFIVEBS[\FnH"QEFR@RSFa_D"[\[tFIQEVKBSFZ>BN&.g.QMDQKVEFI.g.VEWYpIF&DEDGF DGBSH4]]"B@FlFnR$NYDQKBDKJML.FQEVKFI.H.X\.H]¼]"BSF&RSRSFnVMDGQEVKFI.H.X.> H¼_7¬"b¬.B@R$]".HX\rBDGQa]"B@Fk_7¬.LN&H.XYB@XYFIB@Q]"FnVa_DGh[\[\FIQEVKBFa]"FIVFnR$NYDQKBDKJML.FIHcRSFn"QEVKWYHhbTVKWZQKWZH"bQEVKFI.H.XWYL.HFQKV5NH.XZFIH.F&DEDG¬FIB@QKVMN&XXYFIXZFIH ]"FIH°QKVKFn"[email protected]@[Ã~N¬WYV5DGDGQKFn[ ].NVbXYFPDGQKFnRSRSQ ]"VMJML.XYFIpnWYXYFnH.Fo VK¯F&5>.£7B@F][email protected]&RSR@FIR¾pI¼]"FIH¼_JML"bDGFnH¬FnpIFIB$JML.H.FnH]hBSF_DGh[\[\FnQKVKBF¬FIB]"FIVqoBSH.Fn[NQEBS2]"F&D_7`&bcehgFIVKB@[\FIHhQMD> H²]"FI[ uFIVEFIB$JML ]hFIVXYF&DQKVEB$JML.FIRSQEFIH<~BSH.B@FIH º?n kB$DQ]"B@F_qDGh[\[\F QKVKB@FBSH<]hFIVFIR$NZDGQEB$DKJML.FIHF7g"bKQKVKFn..H.X<[email protected]&R$D]"B@F²DGQMN&QKBDGQKBDKJML.F aFIHN&.BSXZFIBSQ]hF&D_7`bdce"gFIVEBS[\FIHhQMD89NRD¿..H.hQKB@WYHC]hF&D®QKVKFn"[email protected]$DkBS[ ~N&¬WYVMD.DQKFI[ ]NVKXZF&DGQEFIRSR@QI>9£7FnV\WZH.BSQEWYVt[0.¹NRDGW¬FIB WZVK N&VKQMDEDGQEVKFIhBSH.FnRSH ?n DGB@QKpIFnH.].N&H.HB$DQ]hBSF_DGh[\[\FnQKVKBFq]"FIVq«(FnBSR$JML.FIHhbVMN&QKFIH@9]"BSFN&"O]"FnH ~[\BSH.WDGB@Q NQ5DG[\WZH.BSQEWYVQKVKF ªFnH.[Ã[email protected] WZYFIHWYVM]hH".HX .HhQKFIV]"FI[ "VEBSQKBDKJML.FIH uFIVKFnB$JML\]"FnVFIe"gFIVEBS[\FnH"QEFIRSRFIHt_D"[2[\FIQKVEBF.H"QEFIVaY¡ >£7B@[email protected]¬F&DBSQEpIQB@[ FnVKXYR@FIB$JMLpI.VFIR$NZDGQEB$DKJML.FIH<QEVKFI.H.XH"[email protected]¯FnVGbHNZJL.R NYDEDGBSXZ¬[email protected]&VKBSQ NQ5DG¯FIVERSFIQEpIFIH]"Fq_D"[\[2FQEVKBSF B7FIBzr* >)S1$* v,-#&-IÄ&Í !ª#&:&!h% %¾'cBSH.FnHUF&DGFnH"QERSB$JML.FIH uFnBSQKV5NXR@BSFOFIVEQU]"BSFkFIRNYDGQEB$DEJL.FQKVEFI..H.Xt]hFIVacRSFIhQKVEWYH.FIH¼N&H]hFIHTVKWZQKWYHFIH]"FPDuA NZDKDGFnVMDGQEWbd« N&VKXYFnQMD>¶£[email protected] O.Va]"[email protected] bH.F&D9cRSFn"QEVKWYH4DuNH2FIBSH.Fn[ 7.hRSFnWYHBSV5]0¬FIB [email protected]]"FnVuDEJLhNZJLFIH0A²F&JML"bDGFnRSBSVE"H.X\]h.VMJML]"B@F WDGFIHh¬.RSQKL"bd¿.WYVK[2FIRª¬F&DEJL.VEBSFI¬FIH= WDE¡Y5 >£aBSFgWZR$NVEB$DENQKB@WYHD bN¬LNH.XZBSXZFWDGFnH"¬[email protected]¿.WYVE[\FIRR$NQKFIQ M

=`

Page 26: diplom - uni-mainz.de · "!$#&% ' ( *),+ -/./+ /00 1( 32547698;:= + '0 ?# [ _7` bdc e"gfivebs[\fihhqadgwzrsr@fih ]"b@f 4 ufib@qkvp n xyf]"fivqdgqevmn h xyf 7 4n vk d7pi ¹]"fih²¿.wyve[0o

_7¬.¬BSR$]h.H.XrkM P?e=g RhTVT P$ijZ P SwdPHZ P U gHi g l^\]PHSy@BACEDFC G I@ G X ]ijZ^PHaaS aZ P .0 P!39ijZ!WS]PHS \&S P i Z'UWSPHS P'g$g "FP i Z'U PydWaZl$\ P_ PHS P S P TVUWZ 3 P^Z^i/d P P! $[]P$XZ T PHSiP P e g RETVT P$ijZ P dPgVeX0 $[]PHZ T P^Si g d P PgHijZ l^\]P i P S PgHiP i>d P UWSXPgHijZ^P "Fi PygHijUhi gHi g l^\]P Y(PHSUWa 3WP i 'WS dWUWZ

D E < D E : > ' 5 < ? 2 0 ? 2 0 v`¡[\B@Q]"FIHChBSHFIQKBDKJML.FIH<¿NhQKWZVKFIH .H] ]"FnHDGWYXZFIHN&H.H"QEFIH_7HN&RSDKN&QKWYVbWh]"FnVN4JLt_7H4NRSDGB@FIVMDQ&N&VKFIH¾> BDGQ9]N¬FIB]"[email protected]]"BSHN&RSF T WYRNVKBDKN&QKBSWZHt]"F&DcR@FI"QEVKWZHDA 230 DBSH]2]"BSFkTWYR$N&VKBDKNQEBSWZHDGWZ[\gWYH.FIHhQKFnH]"F&D9XYF&DQKVKFn.QKFIH®TfVEWYQEWYHD > 57HDGFnV«NVKXZFIQB$DQ.H.gWYRNVEB$DGB@FIVKQ [email protected]_7H.LN&H.X2£ "]"FPDGLN&RS¬VKF&]h.pIBSFnVKQDB$JML]"B@F¿.WZVK[\FIRpI M

D E : > ' 5 < D E I ? x ? $# ? x ? ? $# = # ? x ? Q5NH ? = v`»

[\B@Qu]hFI[^WYQEQGb ACBSVE".HXDK.FIV5DKJML.H.B@QKQ

D E `. ? 6 ? /( * ? 7 G ?x * JWD ? = I 7 G7 D v`hr&

]"FI[ `bdd[2g..R$D .¬FIVKQEVMN&X

x ? p`/787 G

* ? DGB@H ? = D v`

=Y¡

Page 27: diplom - uni-mainz.de · "!$#&% ' ( *),+ -/./+ /00 1( 32547698;:= + '0 ?# [ _7` bdc e"gfivebs[\fihhqadgwzrsr@fih ]"b@f 4 ufib@qkvp n xyf]"fivqdgqevmn h xyf 7 4n vk d7pi ¹]"fih²¿.wyve[0o

.H]¼]"FI[ ]"BS[2FIHDGB@WYHDRSWDGFIH [\g.R$D&.¬FIVKQEVMNX ## x ?

`/9 ? * ? v`

BSQ 7BSV5] ]"[email protected]]"FPD7FIBSHhO NRSR@FIH]"FnH QEVMNLR$D¬FIpIFIBJL.HFIQ6[\BSQ 7 G ]hBSFcH.FnVKXYB@F]"F&DXZF&DGQEVKFI.QEFIH2cfR@FIhQKVKWZHD> 9 B$DQu]hBSFqTfVEWYQEWYH.FIH[NYDEDGF76²]"B@Fa¿4FnBSHDQKVK"QE.VKWZHDGQ5NHhQKF7.^]hBSF~NY]"H.XDp&NL.R ]"F&Dt« N&VKXYFnQMD. ? .H] ]hFIV\~N¬WYV5DGQEVKFIhBSH.FnR > x ? .H] x ? DBSH]²]"B@FFIRSFIhQKVEB$DEJL.FnHH] [N&XYH.FIQEB$DEJL.FnH¿.WYVE[0O NhQKWZVKFIH]"B@F0¯WZH x ?N¬LNH.XZFIH¾>U£7FIVFIRSFIhQKVEB$DEJL.FH] [NXZH.FIQKBDKJML.F2¿4WZVK[0O N&"QEWYV ]"F&DTVKWZQKWYH4DLN&H.XYFnH B@HXYR@FIB$JML.FIV9A²FIB$DF¯WYH,x ? N¬.H]\¶WYH.H.FnHB@H\XYQKFIV)N&L.FIVE.H.Xt]".V5JL¼]"FnHDGWZXYFIHN&H.HhQKFIH# £7B@gWYR F4QA%¬FPDKJML.VKB@FI¬FIHuFIV5]"FIHT W&¯. &`5 M

' x ? ' x ? =hi r& ' 5 x ? ¡Z

[\B@Q ' 5 x ? D ? x ?"ir? C z * ? E ? ¡h?

_7¬.¬BSR$]h.H.XkM =UhiP=dPHZ(P U gHi g l^\]PHS ]ijZ^PHaaS;UWS( lBTbN akg$g EX U g$g9PHZgHi jdWaZ'l^\XP_ P^S P S P aSdwUWS (( % T e4 aT S aT PgHijZ l^\]P i P S P

=Y»

Page 28: diplom - uni-mainz.de · "!$#&% ' ( *),+ -/./+ /00 1( 32547698;:= + '0 ?# [ _7` bdc e"gfivebs[\fihhqadgwzrsr@fih ]"b@f 4 ufib@qkvp n xyf]"fivqdgqevmn h xyf 7 4n vk d7pi ¹]"fih²¿.wyve[0o

57[ ]"FIHACBSVE"H.XDEz.FnVMDKJML.H.B@QKQk]hFIVQEVKFI.H.X¯WYH¢]"FIH²cRSFIhQKVEWYH.FnH²NH¢]"FIH¢o FnVKH.FIH]"FIVf_7RS.[2BS.[OFIHDQKFIV¶N[«NVEXYFIQ9pI¬F&DQKB@[\[\FIH [0]"FnV9WYQEQKBSVE"H.XDEz.FnVMDKJML.H.B@QKQ[\B@Q]"Fn[ uFIQEVMNXDKNY]hVMNQ ]"F&Dk¿.WYVE[0O NhQKWZVMD7¯WZH _7R@.[\[email protected].[ [0.R@[email protected]@FVEQuFIV5]"FIH¾>£7FIVt¿.WZVK[0O N&"QEWYVVM]"FL.B@FIVK¬FIB NR$D¿.WZ.VKB@FIVKQEVMNH4DdOWYVE[\BSFnVKQKF2]"FIV\~NZ]".H.XDG¯[email protected] 9¬FIVEF&JLH.FIQI>h£7B@F~NY]".HXDG¯FnVKQKFnBSRSH.Xt]"FIV o FnVKH.Fk.V5]"F]".VMJML\[email protected]¿.FIVE[\B bd¿..H.bQKB@WYH¬F&DKJML.VEBSFI¬FIH TW¯ ` >

D E 5 : D E I : ? ? 5 : ¡Z=

57[]"B@[email protected]¬F&DQKB@[\[\FIH[t.2]"FIVaACBSVKh.H.XDK.FIV5DKJML.H.BSQEQ7HWhJL¼[\BSQa]"FnV~.[\[email protected][[email protected]@pB@FVEQ UFIVM]hFIH [email protected]@QKFIRh>S? 5>h£NYDcVKXZFI¬.H.BDu]"FnVuF&JML.Hh.H"bXYFnHBDGQB@H_a¬.¬.BSR]".H.Xtt].N&VKXYFPDGQKFnRSRSQn>

)S1@) ½v!h:&-#&:&!h% %('£7B@F&RSRSFnVMDGQEVKFI.H.XkB$DQ]"FIVQEVKFIg.VKWZpIFI]hF&D9TfVEW 1KFIhQKB@RSFIR@FI"QEVKWZHDNH®]"FIHB RSRSFnH.FIRSFnzbQKVEWYH.FnH²]"FIVq« N&VKXYFnQMNQEWY[\F>ª£[email protected] uF&DGQEBS[\[H.X]"FPD7&RSRSFnVKBSVE"H.XDEz.FnVGbDKJML.H.B@QKQ5D¬FIVE.L"Q®N"O]"FIHCFnQKL.Wh]"FnH]"FIV aN&H"QEFIH.FIR@FI"QEVKWh]"hHN&[\BS> HCH.B@F&]"VKB@XDQKFIV­aVM]"Hh.H.X cBSH"bdTL.WYQEWYH"bd_7DQMN4DKJML¬F&]"FIQKFIQt].NZD0]hBSF uFIVEF&JML.H"H.X]"FnVtNQKVEBSehFIRSF b[\FIHhQKFq]"F&D¿.FIhH.[N&H"bE7V5Ng.LFIH¼NDa_7¬.¬.B@R$]"H.Xt ">

P2 P1

Austauschterm

P1

P1

P1 P2P2

P2

-

direkter Term

_7¬¬.BSR]".H.Xt MrN P^RhSTVUWSX Y Z'UF[\ S P'dWZ gHiPHZLZ'dWSaSwdPHZ PHZgHi Z$PHaaSB7B@FIVK¬FIB.B@VM]FIBSH\QKVKFn.g.VKWZpIFIOVKFnBSFIV9cR@FI"QEVKWZH.FIHtNHXYFIH.WZ[\[\FIH¶>Y£NZD VEFIR$N&QKBS¯F BSHhDdbpIFIBJLFIHQKVPNXYQ2]"FIV ¿.FIVK[\BDGQ5NQKBDGQEBS¼ FPJL.Hh.H.X>£7B@F&DGF2DKN&XYQ2ND8].N& ]hBSFtVKF&D.RSQEBSFIVEFIH"b]"Ft7FPDKN[tQMN&[\g.R@BSQK4]"F¬FIB FnVKQMN&DKJMLh.H.X2]"FIVa¬FnB$]"FIH¼FIBSHhO NRSR@FIH]"FnH"b9¬.pIk>XYFPDGQKVEFI.QEFIHcRSFIhQKVEWYH.FnH\N&H"QEB$DGh[\[\FnQKVKB@DEJLkB$DQI>h£7FIV [email protected] BDGQ N"ON&RSRSFqT WZR$NPbVKBDKN&QKBSWZHDGWZ[\gWYH.FnH"QEFIH¯WYH¢« N&VKXZFIQk.H] QKV5NL.R9FI[\g FH]"R@B$JMLH] BDGQk¬FIBUNHhQKB@gNV5NR [email protected] WZYFIVNRD7¬FIBgN&VMN&[email protected].>£7FnVlgWZR$NVEB$DENQKB@WYHD bN¬L NH.XZBSXZFR@RSFIVEBSVE".HXDK.FIV5DKJML.H.B@QKQ9R$N&.QKFIQB@[ºhJML"UFIVKg.H.hQMDGDGQEFI[,M

D E D E I ? > I / 1032.465 I 2 0 01 D6% M D D ¡Z

=zr

Page 29: diplom - uni-mainz.de · "!$#&% ' ( *),+ -/./+ /00 1( 32547698;:= + '0 ?# [ _7` bdc e"gfivebs[\fihhqadgwzrsr@fih ]"b@f 4 ufib@qkvp n xyf]"fivqdgqevmn h xyf 7 4n vk d7pi ¹]"fih²¿.wyve[0o

£7B@F¿.WYVK[2FIR¬F&DKJML.VEFIBS¬.Q]"B@FF&NhQKB@WYH [email protected]&DkcRSFIhQKVEWYH.FnHDGQEVMNLR$Dl[2BSQ]"FIV T WYRNVKBDKN&QKB bWYH / 0 2.465 N&H [email protected][ « N&VKXYFnQ]hFIV¼T WYRNVKBDKN&QKBSWZH 2 0 > z B$DQ]"FIV.H"bgWYRNVKBDGB@[email protected][jzJLhuFIVEg..H.hQMD.DQKFI[¹>Y£7B@Fk«¾FIHDGWZVKFIH ¬F&DKJML.VEFIBS¬FIH ]"B@FTWYR$N&VKBDKNQEBSWZHDKN&¬.L NHXYBSXZFIBSQ9uDFIBSHFoWZ[\gWYH.FIHhQKFnH°DBSH]<]"B@F_D"[tb[\FIQEVKB@FIWF 2pIBFIH"QEFH A¢NXzr >9£7FnV\&RSRSFnVKBSVE"H.XDEz.FnVMDKJML.H.B@QKQ¬FPDGQKFnL"[email protected][gWYRNVKBDKN&QKBSWZHDKN&¬.L N&H.XYB@XYFIH².H]FIBSH.Fn[gWYRNVEB$DKN&[email protected]¬L NH.XZBSXZFIH _aH"QEFIBSR >. [^ce"gFbVKB@[\FIHhQ]"FnVoWYR@R$N&¬WZVMN&QKBSWZH²_7`tBSVM]]NYD«NVEXYFIQa.H.gWYRNVEB$DGB@FIVKQ DGFIB@HD [email protected]&JML_7H"bLN&H.X<£ 0u]"FPDGLN&RS¬°ZN&H.H°[N&H DGB$JML N"O ]"FnH H.gWYR$N&VKBDGBSFnVKQKFnH°ACBSVE"H.XDEz.FnVMDKJML.H.B@QKQ¬F&DKJML.VPNH.FIH¶>.cVDQKFIR@RSQ DGB$JML\B@H CUbdoWWYV5]"BSHN&QKFIHB@F7OWYR@XYQq].NV A N&Xr5jMD E . I 6 ? 7 ? ? JWD ?

DGB@H ? =DBSH ? ? J WD ? ? ? DBSH ?

J WD ? ¡&`

[\B@Q7 M cfHFIVKXZBSFk.H]QEVKFIhBSH.FnRB@[ºhJML"UFIVKg.H.hQMDGDGQEFI[

B7B@FIVK¬FIBB$DQa]"BSF­7V5]"Hh.H.XDp&NLR . Fne"g.R@[email protected]]hFIH].N&[\BSQ ]"FIV&RSR@[email protected]&"Of]"BSF4NLR]"FIVa«NVKXZFIQMN&QKWZ[\Fk¬FnpIWYXZFIHB$DGQn> Ht]"FIVWZ¬.BSXZFIH\aRSFIBJLh.H.XqDGB@H]t]"BSF uFIBSQEV&NXZFa]"F&D]hBSVKFn"QEFIH«¾FIVK[®DA&]"F&D9 HhQKFIVOFIVKFIHpIXYR@BSFb]"F&DªH]k]"F&D¾_7DQMN&DKJML"QEFIVK[®D4FnVKFIH.Hh¬N&VI>I£aBSF 57[2VKF&JML.Hh.H.XU]"FIVhJLhuFnVKg..H"Q5DGXYVPWYZFIH]"FIVaR@FIB$JML"H.X, ¡`UBSH¼].NZD ~N&¬WYVMD.DQKFI[^FIVOWYR@XYQ[\B@Q A¢NXzr-jM

Q5NH = J ?= I QMNH [\BSQ J 7u ¡Z¡

B7B@FIVK¬FIBBDGQ 7]hBSFacH.FIVEXYBSF ]"F&D FnBSH"O N&RSRSFnH]"FIHcRSFIhQKVEWYHDBS[~N¬WYV5DGDGQEFI[*]hFIVuQEVKFI"bBSHFIR¾BS[º~N&¬WYVMD.DQKFI[ H] u ]"B@FNYDKDFt]"F&DacRSFIhQKVEWYHDFIBSH4DKJML.RSB@FIYR@B$JML\]"FnV.L.Fb[NZDKDGF>

7 u

J ?= ¡Z»

J WD J ? = J;p ? hDBSH ? A ? I ¡r&

£7FIVa&RSR@[email protected]&D .V5]"Fk[\BSQ9WZ¬.BSXZFIH¿.WYVE[\FIRSHtBSH®].NYD~N¬WYV5DGDGQEFI[QKV5NHD OWYVE[\BSFIVEQ H]H"[\FIVKBDKJML[\B@[email protected]&D C9WY[\g.QKFIVEg.VKWZXYVMN&[\[Dª¬FIVEF&JLH.FIQI>&£qNYDcVKXZFI¬.H.BDu]"FIV FPJL.Hh.H.XZFIH2NH²?IJ [ ? .H]YZ % [ _7RS.[2BSH.B@.[pIFIBSXZQU_7¬.¬.B@R$]".HX?I N7M>

=Y

Page 30: diplom - uni-mainz.de · "!$#&% ' ( *),+ -/./+ /00 1( 32547698;:= + '0 ?# [ _7` bdc e"gfivebs[\fihhqadgwzrsr@fih ]"b@f 4 ufib@qkvp n xyf]"fivqdgqevmn h xyf 7 4n vk d7pi ¹]"fih²¿.wyve[0o

N ¬

_7¬.¬BSR$]h.H.X?IM7U Uhi P dPHZ6 PHZgHijZ^PHaaS ,UWS ( lBT N ahg$g hX U g$g9P^Z gHi jdWaZ'l^\XP_ P^S P S P aS&dmUWS (( % T e4 aT S aT PgHijZ l^\]P iP S P " 0LS]PHZ P dPg PHZ$P P!39ijZ!WSWgU$ g?N aS/39i WS;dPg i Z$PHa 7 S/3WP g P PgHijZ l$\]P iPHS S P^S TVUWZ!3 PHZ$PHSdPHS`_ aZ U \ rgHiP\]PHSdPHS S3WP +"FPHZ$P l^\ aZydPHS "aT S g i/UhiIg TWS i WZ )S1@1 !h-I,.;#&:&,"#&!

£7B@FaF&DKN&[0QEVMNQEF\N&RSR@FIVkFIR$NZDGQKBDKJML.FIH<QKVEFI.g.VEWYpIFPDKDGF vFIRNYDGQEB$DEJL.F\QKVKFn..H.X²N&H ? H] #/ª&[email protected]&H ? .H4] #9.H]NYDBSFIRNYDQKB$DEJLF\QKVEFI..H.X®NH¢_7RS.[2BSH.B@.[ B$DQBSH¼_7¬.¬BSR$]h.H.X?Y?v¬ U].NVEXYF&DQKFIR@RSQI>ACBSFq[NH]hFI.QKR@B$JML\FIVEFIH.H.FIHtZNH.H@]"WY[\[email protected]]"BSF [email protected] NH ? B@[ ~.[2B bH.WDGBSQPNQ5DG[\WZH.BSQEWYVv¯FnVKXYR@FIB$JML.FqNJML[\BSQU_7¬¬.BSR]".H.X?n N 5>cBSH.FauFnBSQKFnVKFaDGFnL.VuX.HDGQEBSXZFkcBSXYFnHDKJMLNPOQU]"[email protected]"Q[®NHFI¬FIH"O N&RSRDNH¼_7¬¬.BSR]".H.X?Z?¬"]"FIVao.VK¯FnH"¯FIVER$N&"O¾BDGQuO.VUFIBSQEF uFIVEFIB$JML.Fa¯WYH NZJLDGWZ[\BSQDKJMLhNH"Q]"B@F\aNQEF0B@H ]"B@F&DGFn[$ uFIVKFIBJL¼ZN.[>¶£7BSF&DBDGQ]"F&DLNR@¬ X.H4DGQKB@X uFIB@R[NHDGWZ[\BSQUZN.[^c [email protected]&DN4DGXYFP]"FIL.HhQKFIH¼«NVEXYFIQ5D FIVELNR@QI>ACBSF2¬FnVKFIB@QMDBSH<]hFIH ¯WYV5NH.XZFIXN&H.XYFnH.FIHCokN&g.BSQEFIRSH²FIVKN&L.HhQ6DWYR@RuBS[ _a`bdcfehgFIVKB@[\FIHhQFIB@H´?IJ[ RNH.XZF&D ? b«NVEXYFIQpI.[ cBSH4DKNQEpWY[\[2FIH¾>¾ACBSF¹DGB$JML°R@FIB$JMLhQ¬FnVKF&JML.H.FIHRN&YQ9"[NZJLhQF&[email protected] 57HhQKFIV5DKJML.BSF&]B@[ QKVKFn"[email protected] "WY¬®]"BSFQKVKFn..H.XB@[±cfB@H"b9Wh]"FnV_7DQKVEBSQKQE¬FIVKFIBJL¼]"FPDl«NVEXYFIQ5DkDGQMN&QKQ/FH]"FIQn>¾£7FIVQEVKFIhBSHFIR \DKJMLhNH"QLBSFIVE¬FnB .[[\FILVNRD"im¡ >

£7FIV~[\BSH.WDGB@Q&NQ5DG[\WZH.BSQEWYVUDGWZRSR@[email protected][jQKVKFn"[email protected]¬FIVEFIB$JML` ´?I B@HDGQ5NR bRSB@FIVKQUuFIV5]"FIH¾>¬F&NYJMLhQKFIHB$DGQ9].N&k]"BSFacH.FnVKXYB@F]"FnVXYF&[email protected] DGFIL.VfDGQMN&VKpIXYVPWYYFnVKFIHQEVKFIhBSH.FnRSHL.B@H<N¬"O5N&RSR@Q, _a¬.¬.BSR]".H.X²?n-v¬M> 5a[ ]"BSF\H(WYQKB@XYFQMNQEB$DQKBSpn FIVKL4NR b

=Y

Page 31: diplom - uni-mainz.de · "!$#&% ' ( *),+ -/./+ /00 1( 32547698;:= + '0 ?# [ _7` bdc e"gfivebs[\fihhqadgwzrsr@fih ]"b@f 4 ufib@qkvp n xyf]"fivqdgqevmn h xyf 7 4n vk d7pi ¹]"fih²¿.wyve[0o

N ¬

_7¬.¬BSR$]h.H.X?Y?hM U =UhiPU$ PHZ=UWa Hi Z$P$i P^SdPHS ]ijZ^PHaB[ Z! _9Pg$g9P T i Z$PHa 7 S/3WP +"FP^Z^P l^\ 'WS ?n PVTVUWS g P\i =dWT S PHZ$i?\ PHZVd P1 PHZgHi Z$PHaaS*UWS ? T _ aZ U \ gHiP\]PHSdPHS S/3WP "FPHZ^P l$\ P0Z^P kS g ZUhiPHSwdPHZ BaU g P U gHi g l^\]P]ijZ^PHaaS ;UWS e4 a XT S aT aSdwdPHZ WS9[ Z!9dWa 3 i WS UWS U g$g9PHZgHi g SdwaT Y=Z PHS WZ'dWSaS PHS 3 P XS PHZU$ gd P PHZ gHijZ^P^aaS;aSd d PyP U gHi g l^\]P]i Z$PHaaS " Y P'g UWT>i Z'Uhi P=U$ PHZP U gHi ]ijZ^PHaB[ Z! _9P'g$g9PLUWS ( lBT N 8akg$g hX U g$g9PHZgHi jdWaZ'l^\ P_ P^S P S P aSdVUWS (( % Te4 aT S aT PgHijZ l^\]P iP S P 6 l^\iQT iP S "FP_ P^S gHid P S P U gHi g l^\]P i Z$PHaaS d P T S3WP +"FPHZ$P l^\ ?I P S P aSiPHZ P WZdWS P$iP14$ P>g[ P i P PgHijZ l^\]P iPHS S PHS3TVUWZ 3 PHZ^PHS 9P87 P g dPHSm_ aZ U \ gHi P'\]PHSdPHS S/3WP +"FPHZ^P l^\ aZ dPHS /aT XS g iUhi g TWS i WZ

QKFnH* DQMNQEB$DQKB$DEJLFIVU¿4FnL.RSFIVa?;II?n "hB$DGQUF&Du]hF&DGLN&RS¬¼NHXYFI¬.V5NYJML"Q9h]"FIH£7FnQKFIhQKWZVupI]hFIHhRSFIB@HDGQE[²WYXZRSB$JML.F [email protected]@HL.BSHkpIk¯FIV5DKJML.BSFn¬FnH¾> c D¾B$DQªO .V]"FIHWYH.B@QKWZV FIB@HQEVKFIhBSH"bFIR@¬FnVKFIBJLt¯WYHv`bh» BSHD_7XYFXZFO NZQI>£7B@Fk[\[email protected]@H¼]"BSF&DFI[ACBSHFIRS¬FIVEFIB$JML\¬FIQKVPNXZQ0?n=YF9 O .VkR@RSFIVEFIRSFn"QEVKWYHFIH.H]²Y¡Y=F6 O .VFIRNYDQKB$DEJLXYFPDGQKVEFI.QEFcR@FI"QEVKWZH.FIH¾>

Y

Page 32: diplom - uni-mainz.de · "!$#&% ' ( *),+ -/./+ /00 1( 32547698;:= + '0 ?# [ _7` bdc e"gfivebs[\fihhqadgwzrsr@fih ]"b@f 4 ufib@qkvp n xyf]"fivqdgqevmn h xyf 7 4n vk d7pi ¹]"fih²¿.wyve[0o

/(% 1( r#&?#&- +&£7FIV £7FIQEFI"QEWYVEQGhg¾]hFIV.H4DGFIVEFIVFIBSHh.H.XHNZJL<N&[ ¬F&DGQEFIH<]"FIH _7H"OWYV5]"FIVE.H.XYFnH XYFbVKFPJLhQBSV5]BDGQFnBSHA¢NYDEDGFIVbC9FnVKFIH.W&¯b£aFIQKFIhQKWZVI>BSQB@L.[^R$NYDEDGFIH²DB$JMLN&RSRSF _7H"OWZVM]"FbVKH.XYFIHFIVO .RSR@FIH¾>A¢NYDKDFIVaB$DGQaDFIL.VaDQKVMN&L.RSFnH"OF&DGQ9"R@FIB$JML"Q9pI2LNH]hLN¬FIH.H4]N&.YFnVM]"FI[DGFnL.VWDQKFIH.X.HDQKBSX>k£7BSF¢B$JML"QEBSXDQKFIH g.L"[email protected]]£7FIQEFIhQKWYVEFIBSXZFIHDEJLNIOQKFIH¯WYHA NZDKDFIV9DGB@H][email protected]]"FnV« N&¬FnRSRSFUpIDEN[\[\FnH.XYFO N&YQn>C9FIVEFIH.W&¯zbd£7FIQEFIhQKWYVEFIHDGB@H]\N&.YFIV5]"FI[^DFIL.V DKJML.H.FIR@RH]\¬FPDGBSQEpIFIH\Fne"QEVKFI[h.VKpnFl~BJLhQMN&¬."[email protected]@QKFIH¯WZHFnB bH.B@XYFIHHD8]"BSFkHh.Va]".V5JL¼]"B@FaFIWY[\FnQKVKB@F]hFIV~B$JML"Q5DKN&[\[\RSH.Xk¬FPDGQKB@[\[tQ9DGB@H]ª>

]c P]"e*[\BSg ="> ZF6 vX &J[ ? QKVMN&L.RSH.XDRNHXYF Y»">@?¾J[WZRSBFIVKFIV5NY]"B@D "> =J[[email protected]@F YF6£aB$JML"QEF ?Y> Z X PJ[ B uVEF&JML".HXDGB@H]"FIe ?Y> ZC9FnVKFIH.W&¯b [email protected] `.?Y>m=Y¡

_7H ]"BSFPDGFIVQKFIR@RSF²DGWZRSRkh.VKp¢N"O]"FIH C9FIVKFnH.W&¯zbdc ªFn"[email protected]]"FIH¾>[email protected] uF&DKJML.VKFnBS¬..HX¬FAFH]hFIQDB$JML\BS[ _7H.L4NH.X2_>

cBSHXYFnR$NY]hFIH.F&D«¾FIBSRJLFIHh].NYDaDGBJL[\[email protected]$JML"O5WYVE[\BSXZFIH\aF&DKJML"B@H]"B@XYFIB@Qu]h.VMJMLFIB@H gWYR$N&VKBDGBSFnVK¬N&VKF&DF&]hBS.[ ¬FIuFIXZQ6BSH]"pIBSFIVEQB@H<]"BSFPDGFI[ FIBSH¢pIFIBSQERSBJL¯FIVPNH]hFIVKR@B bJML.F&D9£7BSgWZRS[\WZ[\FIHhQI>Z¿N&RSRDu]"B@FlaF&DEJLhBSH]hBSXYFnBSQt]"F&DU«(FIB@R$JML.FIHXZV&WYZFIVaNRDu]"B@F~B$JMLhQGbXYFPDKJML"B@H]"BSXZFIBSQ * z ( BS[ F&]hBS.[Ã[2BSQt]"FI[ uVEF&JLh.H.XDGB@H]"FIe ( B$DQ6O .L.VEQ\]"B@F&[email protected]_7¬[email protected]²¯WYH<FIRSFn"QEVKWY[®NXY[[email protected]²FIR@RSFIH¾> B$DEJL.FnH<]"FI[ÃA²FIR@RSFIHN&Ddb¬.VEFIBSQE.H.XD¯FIhQKWYVq]"FIVaFI[\B@QKQEBSFIVEQKF [email protected]\H]]"FIVq«(FnBSR$JML.FIHh¬N&L.H¬FPDGQKFnL"QOWYR@XYFIH"b]"FIV 4DKN[2[\FIH.LN&H.XM

JWD ?( G [\B@Q G z *

£NZDC9FnVKFIH.W&¯bK~BJLhQBSV5]CN"[email protected][ oFIXYFnR7[\B@Q\]hFI[ LNR@¬FnH ­ Hh.H.XDGBSHFIR N¬XYF&DQKVMN&L.RSQn>9£7BSF NL.Ra]"FnVtTfLWYQKWZH.FIH9]hBSF\g.VEWA FnXDGQEVKF&JMF]"e²BSH<[email protected][ £7FnQKFIhQKWZV]"FIQEFIhQKBSFnVKQuUFIVM]hFIH"FnVKLN&RSQ[N&HNDuOWYR@XYFIH4]"FIVa¿.WYVE[\FIR M

=546 ? =K?Lp ?G ? ( ? I x 74 I I ?

B7B@FIVK¬FIBB$DQ ]"B@FA²[email protected] N&H.XYFq]"[email protected] c ]"BSF 74NHhQKFIH.F \[email protected]]"FnVaTfLWYQKW&bZNQEL.Wh]"F]"F&DUTfLWYQKWZ[[email protected]@FIVKFPDAZ«C]"BSFq«(V5NHD[\B$DEDGB@WYH]"FPD C9FIVEFIH.W&¯"[2F&]"BS[\D¾.H]\].NZD7FAFIehBSWZHDG¯FnVK[ WZXYFIH2]"FIVA N&H]"Fk¬.pIk>]"FnVg.BSFnXYFIR@pIFIRSR@F>

"?

Page 33: diplom - uni-mainz.de · "!$#&% ' ( *),+ -/./+ /00 1( 32547698;:= + '0 ?# [ _7` bdc e"gfivebs[\fihhqadgwzrsr@fih ]"b@f 4 ufib@qkvp n xyf]"fivqdgqevmn h xyf 7 4n vk d7pi ¹]"fih²¿.wyve[0o

2I I7 kl

4= 8w+W#+ VW# !( (13< #&0'+ (=. 1( r#?#&-/+1( 6./(

H"B@FIuFnBSQDGBJLFIBSHA NZDKDFIVGb C9FIVKFnH.W&¯zbd£7FIQEFI"QEWYV OV.HDFIV9ce"gFIVEBS[\FnH"QFIBSXZH.FIQ6&.V5]"F[\B@Q FnBSH.FI[±FIB@H"O NYJML.FIH«¾F&DQGbdWh]".R.H"QEFIVMDJML"Qn>cBSH"O NZJLF\[email protected]]"FIH²pI²FIBSH.FnV4K?n¡e<?I¡e r&»7hJ[ NY]"FnVGO5WYVE[\BSXZFIH-FIR@RSFpIDEN[\[2FIH.XYFPDGFIQEpIQ.H]t[\BSQB@RSBSWZH0 NYDEDGFIV5]"B$JML"QU¯FIVKhRSFn¬.QI>_aH].NYDuLBSHhQKFIVEFkcH]"Fk]"[email protected]]"F "FI¬FIH"O N&RSRDuN4D7g.BSFnXYFIR@XYR$NZDAhFIBSHcR@FI[\FIHhQpI.V 57[\[email protected]]"FPD C9FIVKFIHW¯b~B$JMLhQKF&D7B@H²]"BSF2TL.WYQEWY[t.RSQEBSg.R@BSFIVaN&H.XYFn¬.VMNZJLhQI>¾£aFIV~B$JML"QERSFIB@QKFIV¬FAFH4]"FIQDGBJLB@[º`¡ bACBSHFIRªpIVA NZDKDGFnVKpIFIR@RSFH]\B$DGQFn¬FnH"O NR@R$Du[\B@Qu]hF&DGQEBSRSR@BSFIVEQKFI[A¢NYDEDGFIVaXYF O .RSR@QI>£7B@F\_74DGRSFPDGFt]"F&DC9FIVKFnH.W&¯zbE~B$JML"Q5D FnVGOWYR@XYQEF0[\[email protected]@BSgDkT9=ZY=Y¼TL.WYQEWY[t.RSQEB [email protected]]-CU__ C _£C D4G~F&C9VEW&²=Y=` Y_ 5> aFIQEVKBSXZXYFIVEQk.VM]"F2]"B@Ft_7DGR@F&DGF¯WZHcBSH.pnFIRSFIVEFIBSXZH.B$DEDGFIH@B@[7FnXYFIHDENQEpupI ]"FIHDgNQEFIVKFnHF&DEDG.H.XZFIH[2BSQ¾]hFI[VKF&N&RSB$DQKBDKJML.FIHTVKWZQKWYQhg ¬FIB ]"FIH.FnH B@H"QEFIXYVEBSFIVEFIH]XYFI[\FPDKDGFnH.VM]"F>£7B@F\TL.WZQKWY[[email protected]]hFIH¯WYH¼WY¬FIHB@H].NZD7A NZDKDFIVXYFnLNH.XZQI>¾c9D.VM]hFIH<?IZF6 cH.FIVKXZBSF ]"F&Da«ÃKu¯WZH_ ¬.pIk>Y¡Y¡F6cRSFIhQKVEWYH.FnHND_q]"BSVEFIhQuBSH®]"FIH£[email protected]&DEJLWDdbDGFnH¾>_7¬.¬.B@R$]"H.X?I=pIFIB@XYQ]hFIH FnVMDG4JLDEN"O¬4N¾>

-

PM XP2020

e

Frontflache

76 cm

91 cm

Wasser-Cerenkov-Test-Modul

15 cm

15 cm

15 cm

des Detektors

_7¬.¬BSR$]h.H.X ?I=M 0ZgHi P'g "aT S g iUhiIg TWS i WZ$X U g$g9PHZ^X PHZ^PHS3 FX]PgHi X 9dWaUWahgW[ P P $ U g *U P , "lBT PVeakg8 P'g9P dPg PHZ$PHS/3 FX l^\iPg*PHZ $ hXiP T i/\ [g * ( * ( /\ hi WTVa i [- PHZHS H_7¬.¬BSR$]h.H.X?I, N9BDGQa].NZDcfVEXYFI¬H.B$D]"FnVa«(F&DQGbdF&DKD.H.Xt].N&VKXZF&DGQEFIRSR@QI>.£aBSFk]"VMJML.XYFbpIWZXYFIH.F~BSHBSFtpIFIBSXZQ].NYDgFI"QEVK.[ ]hF&D?IYF6^cBSHDEJLhDEDGF&D8¾]"BSFtXYFPDGQKVEB$JML.FIR@QKF]hFIHY¡Z¡F6cB@HDKJML".>h£7BSFqA N&L.R¾]"FnVucB@HDKJML"bdcfHFIVKXZBSFIHDWYR@Rª]hBSFqDGgN&QKFIVa]"FnH\£7FnQKFIhQKWZV

Y=

Page 34: diplom - uni-mainz.de · "!$#&% ' ( *),+ -/./+ /00 1( 32547698;:= + '0 ?# [ _7` bdc e"gfivebs[\fihhqadgwzrsr@fih ]"b@f 4 ufib@qkvp n xyf]"fivqdgqevmn h xyf 7 4n vk d7pi ¹]"fih²¿.wyve[0o

QKVEFFIH]"FnH-BN&.g.QEg.VKWZpIF&DKDFDGB@[0RSBSFnVKFIH¾>£aBSF?nYF6 DGWYR@RSFIH¢].N&¬FnB]"B@F\cH.FIVEXYB@F\]"FnVR@RSFIVEFIRSFn"QEVKWYHFIH DBS[t.RSB@FIVKF H (7 ?n=YF9"9]"B@FY¡Z¡F6]"[email protected]@F]"FIVFnR$NPbDGQEB$DEJLXYFPDGQKVEFI.QEFIH¼[email protected]* (7 Y¡Z=F6) DGBSFnL.FolN&g.BSQEFIR¾h> ` M>

N ¬

_7¬.¬BSR$]h.H.X?IM U 0Z gHiPg U g$g9PHZ^X PHZ^PHS3 FX0S PHZ Pg[]P!39ijZHaT 'WS ( P/. jdWaZ'l^\XP_ P^S P S P "$_ 7 P . PgHijZ l^\]P iP S P 0 P 39i Z WS PHS,UWahg e ea P$XS WTVT PHS3T iyPHZgHi PHT ]PgHi X 9dWaLP S Pg/aT S g iUhi g TWS i WZ P Uhi P^S 7 aZ'dPHSUWahg0 SW_9P PHZ$P WS g UWahg8 Pg9P P 7 WSS PHS P?N UWl^\]P^S`dP^Z W[]P!3 i Z$PHS g SdVUWa 0 S g S WZ$XT PHZ$i " &R^[ g l$\]Pg U g$g9PHZ$X PHZ$PHS/3 HX/\ hi WTVa i [- PHZ$X WSU$ 0/g _9P hiyP S P>g9P\&Z3EaZ _9P(e " 3 S _9P i'WS 7 PHS PHS S g 0/g 77aZdP>P S /\ [g * ( * ( \ hi WTVa i [- PHZ PHZ87 PHS&dP$i _7H ]"FI[ cVKXZFI¬.H.BD\]"FIV2«¾F&DGQbF&DEDG.HX ZNH.HC[N&H<FIVKFIHH.FIH].N FnBSHCcB@HDKN&QKp¯WZHA¢NYDKDFIVGb C9FIVEFIH.W&¯zbd£7FIQEFIhQKWYVEFIH\B@H\.HDFIVKFI[ ce"gFIVEBS[\FnH"[email protected].[²WZXYR@B$JMLB$DGQn>.£7FnV£7FIQEFIhQKWYVpIFIB@XYQKFtFIB@H DFIL.VDEJLH.FIRSR@F&D_7HhQuWZVKQK¯FnVKLN&RSQKFnH[\BSQ_7¬[email protected]¯WZH uFbH.B@XYFIH<HD >9cfB@H°A¢NYDEDGFIVb C9FIVEFIH.W&¯bTL.WZQKWY[t.R@QKBSgRSBSFnVGbEBSXZHNR9B$DQBSH _7¬.¬BSR$]h.H.X<?I v¬ ].N&VKXYFPDGQKFnRSRSQn>£NZD gFIhQKVE.[]"FPD ?nYF9´cBSH4DKJML"DEDGF&DLN&QUDGFIB@HtNehBS[t.[¬FnB_£ CbdokNHN&R¾Yh> ` ].NZDlgFIhQKVK[º]hF&DY¡Z¡F6 cfB@HDKJMLhDKDF&D ¬FIBY¡h?Y>m»_q£ CbokN&H NR@FIH¾>_7R$D9FIVKL N&RSQEH.B$D]"FIV~N&XYF ]"FIVaNehBS[®NlFIVEXYBS¬QaDGB$JMLM

( E?IZ 9 C ( Y¡Z¡ 9 C Chi =Z¡

£7B@F&DGF DGQMN&VKF49FIV5DKJML.BSFI¬.H.X2]"F&D [email protected] pIXY.HDQKFIH¢]"FIVqY¡Z¡F6 cRSFIhQKVEWYH.FIHB$DQ.H.X.HDGQEBSX ].N0]hFIV7~.[2BSH.WDGBSQPNQ5DG[\WZH.BSQEWYVN&"Of]"BSFR@RSFIVEFIRSFn"QEVKWYHFIHtDGFIH4DGBSQEBS¯2DGFIB@H

Y

Page 35: diplom - uni-mainz.de · "!$#&% ' ( *),+ -/./+ /00 1( 32547698;:= + '0 ?# [ _7` bdc e"gfivebs[\fihhqadgwzrsr@fih ]"b@f 4 ufib@qkvp n xyf]"fivqdgqevmn h xyf 7 4n vk d7pi ¹]"fih²¿.wyve[0o

DGWZRSR >(A VM]"Ft[NH²F&Dk¬FnBu]hBSF&DFI[ £7FIQEFI"QEWYV5]"F&DGB@XYH²¬FIR$NZDKDGFnH¾LNQEQKF\[N&H FnBSH.FtDQMNVEF uFI¯WZVKQKFnBSRSH.X]"FnVFIR$NZDGQKBDKJML\XYFPDGQKVEFI.QEFIH¼[email protected]¾>

A¢NVK[ BDGQ]NYDgFIhQKVE.[ ]"FIV C9FIVKFnH.W&¯zbdTL.WYQEWYH.FIH ND2]"FI[ Y¡Z¡F6 cB@HDKJML"XYFnXYFIH ¬FnV]hFI[ ?IZF6 [email protected]¹DGFILVl¬FI¯WZVKQEFIBSR@Q _7"O DKJML.R@.].N&V .¬FIVkFIVEL NR@Q[N&HUFIH.H[®NH 57¬[email protected]]"FnHTVKWZpIF&DKDFIHN&HDGQEFIRSR@Q6n]"BSFUDGQ5NQEQFH]hFIH&uFIH.HFIBSHL.WhJML.FIH.FnVKXYFnQKB$DEJLF&Dª«¾FIBSRJLFIH£aFIQKFIhQKWZVK[N&QKFIVEBSF]"VMJMLzFIVKQ oRSF&&` &TfL47 &` > HNYJMLDGQDGFnB9].NYDNehBS[t.[^]"FnVcH.FnVKXYB@F&]"FIgWDGBSQEBSWZH ]"FPD [email protected]]"BSH4NRSFnH hJL4N.FIVEg.VKW [email protected]@FI"QEVKWZ[NXZH.FIQKBDKJML.FIH²okNYDZNY]"F¼¬FnQKVMNZJLhQKFnQI>£qNYDtNehBS[t.[ ]"FnVtcfHFIVKXZBSF&]"FngWDGB@QKBSWZH]"F&[email protected]]"BSH4NRSFnH zJLN&.FIV5DuBSVM]\XZ.Q7¬F&DEJLVKBSFn¬FnH]".V5JL TLa `jM

2 ´?Zi IDYRSH 77 ?=(E I K D ¡Z

uWZ¬FIB 7 ]"BSF cfHFIVKXZBSF]"F&D9FIBSH.RN"OFnH]"FIH«¾FIB@R$JML.FIHD9.H] 7 ]"B@FhVKBSQEB$DEJL.F cfHFIVKXZBSFk]"FPDF&]"B@.[D9B$DGQ DBSFILFokN&g.BSQEFIR">m¡M> uFIVEF&JLH.FIQu[®NHH"H]"B@F0~NXZFt]"F&DhJMLN.FnVK[N&e"Bb[t.[D O .Vk?IZF6 cRSFIhQKVEWYH.FnHH]Y¡Y¡F6cRSFn"QEVKWYHFIH.DW0FnVKLN&RSQ[N&HM

2 E?IZ0F6 h> = K r>m=J[ 2 Y¡Z¡0F6 ?Z> r K »"?Z> `9J[

£7FIV2FIRSFIhQKVEWY[N&XYH.FnQKB$DEJLFhJMLN.FnV\]"FnV?IZF6 cRSFIhQKVEWYH.FnH°BSV5]CNRDGW DGWZ[\BSQO NZDGQWY[2g.RSFIQEQkBS[ £7FIQKFn"QEWYV][email protected]]<]"FIVtZ¡Y¡F6 hJMLN&.FIVFIV5DGQtN[ cfH4]"F]"F&D£aFIQKFIhQKWZVMDuh.VKpk¯WZVa]"FI[^TL.WZQKWY[t.R@QKBSgRSBSFnV9DGFIB@H¼NehBS[t.[FIVKVEFIB$JMLhQI>_7"OXZVK.H4]]"FIVR@BS[\B@QKB@FIVKQEFH2 F8FIehBSWYH¼N&H]"FIHA N&H]"FIH NRS[\BSH.B@.[¬F&].N&[0g"OQEFaR$NYD bDKJML.FIB@¬FIHh F8FIehBSWYH4DG¯FIVE[²WYXZFIH t Y.H]\]"FnV_7¬DWYVEg.QKB@WYH]"FPD ~B$JMLhQKF&DBSHtA¢NYDKDFIVFIVEVKFIBJL.FnH DWY[\B@QlB@[ÃB@QKQEFIR9¯WYH<XN&H.p¯WYVKHF\uFIHBSXYFnVTL.WYQEWYH.FnH°]hFIH £7FIQKFn"QEWYV6NRD]"B@F/1KFIH.B@XYFIH]"BSFFIV5DGQtN&[ cH]hF]hF&D0£aFIQKFIhQKWZVMD.H4]°DGWZ[\BSQh.VEp¯WZVt]"FI[ T9 g.VKW&b]".pnBSFIVEQuFIV5]"FIH¾>9£N¢]"FIV2Y¡Y¡F6³hJMLN&.FIV2DGFIB@H°N&e"B@[0[³B@[ÃL.BSHhQKFnVKFIH «¾FIBSRa]"FPD£7FIQEFIhQKWYV5D¬F&DBSQEpIQ.H]<BS[ N&e"B@[0.[ ]hF&D®zJLN&.FIV5D0N&JL ]"B@F[\FIB$DQKFIH C9FIVKFIHW¯bTL.WYQEWYH.FnHgVKWh]".pnBSFIVEQuuFnVM]"FIH@"FIVEVKFIBJLhQ9DGWZ[\BSQ9FIB@HaVKWZYQKFnBSR¾]hFIV C9FIVEFIH.W&¯bTL.WZQKWYHFIH]"FIH TL.WZQKWY[t.R@QKBSgRSBSFnVI>¾£7B@F&DlO .L.VEQpI.[ÃFnBSH.FIH¢pI<FIBSH.FnV4 uFI¯WZVKQKFnBSRSH.X]"FPDY¡Y¡F6hJMLNFIVMD >£7F&[email protected]]"pIBSFIVEFIH]"BSFfY¡Y¡F6 [email protected]@[´B@QKQEFIRY[\FnL.V C9FIVKFIHW¯bdTfLWYQKW&bH.FIH¶>cBSH.F¼c9_ q« bKB@[0R$NQEBSWZH aF&NY &`uFIVEXN&¬].N& ]hFIVZ¡Y¡F6 hJMLN&.FIVhHN&g.g]"VEFIBS[N&RDW¯hBSFnRSF C9FIVKFnH.W&¯zbdTL.WYQEWYH.FIH g.VKWh]h.pIBSFnVKQtBSF]hFIV?nYF9ÃhJL4N.FIVn>9£7BSFPD¯FIVERSFIB@L"QU]"FI[ Y¡Z¡F6±hJL4N.FIVHWhJL.[®NR$D9[\FIL.VaaFIB$JML"Qn>

c9DRSB@FIXYQNRDGW²N&"Ok]hFIV4BN&H]9].NZD£7FIQEFI"QEWYV5]"F&DGB@XYH<DWpI WZg.QKB@[\BSFIVEFIH¾]N[N&H<]"BSFA¢NYDKDFIVKpnFIRSR@F¯FIVK.VKpnQ6u.[ DWY[\B@Q]"FIH ?IZF6 zJLN&.FIV¼DGQPNVEFIVL.FIVK¯WZVKpIL.FI¬FIH¾>c9D\BSVM]CN&H.XYFPDGQKVEFI¬.Q9uBSL.HDW<pI WZg.QKB@[\BSFnVKFIH].N<¬FIB]"F hJMLN.FnV6DWUWYL.R ]"FIV]"[email protected] hNRD9NJML]"FIVU]"FnVuFIRNYDGQEB$DEJL.FnH\QKVEFI..H.XBSHtFIQN]"BSFaXYR@FIB$JML.FcH.FnVKXYB@FBS[ £7FIQEFIhQKWYVa]hFIgWYH.B@FIVKFIH¶>

`

Page 36: diplom - uni-mainz.de · "!$#&% ' ( *),+ -/./+ /00 1( 32547698;:= + '0 ?# [ _7` bdc e"gfivebs[\fihhqadgwzrsr@fih ]"b@f 4 ufib@qkvp n xyf]"fivqdgqevmn h xyf 7 4n vk d7pi ¹]"fih²¿.wyve[0o

£7B@F7QEVMNQEFIXYB@F¬FIB]"FIVU­7gQKBS[2BSFIVE.H.XR N&YQ9DB$JMLlOWZRSXYFnH]"FIVE[NZFIHpI4DKN[2[\FIH"O NZDKDGFnHM&£7BSFcH.FIVEXYBSFPN WDG.HX.H]<]"BSFtBS[ £aFIQKFIhQKWZV]"FngWZH.BSFnVKQKF®cfHFIVKXZBSFO .V&RSRSFnVKFIR@FI"QEVKWZH.FIHDGWZRSR@QKF¬FIB¾XZRSFIBJL.pnFIBSQEBSXYFnV 57HhQKFIV5]"V JMh.H.X]"FIVa]"FngWZH.BSFnVKQKFnHcH.FIVKXZBSF¯WZHFIR$NZDGQKBDKJMLN[A¢NYDKDFIVMDQKW&´XZF&DGQEVKFI.QEFIH cRSFIhQKVEWYH.FIH¢WYg.QEBS[\B@FIVKQkuFnVM]"FIH¶>9£N¬FIB.V5]"F¼]"BSF[\[email protected]]"FIV [email protected]¯WYHC?n=YF6 BS[ ACBSHFIRS¬FIVEFIB$JML` ±» H]Y¡Z=F6´O.Vq]"BSFqFIR$NZDGQKBDKJML.FQEVKFI.H.X [email protected]&g.BSQEFIR">`.> ` 9FIBSHXYF&DFIQKpIQn>£NZD0tQKFIhVKB@QKFIVEBS.[ # FXZ.VKF2WOq[\FIVKB@QA%, ¿­qDDFIQKpnQDB$JML ]N¬FIBN&D]"VEFIBU«(FIB@RSFIHpIDEN[\[2FIH]"B@F21KFIuFIB@R$DU]"FIH²?I=ZF6hJMLN.FnV¬Fn¯WYVKQEFIBSR@FIHDWYRSR@FIH¾>

: 9 (74K?n=Y9 C (74 Z¡Y=9 C I (74E?I=Z 9 C I 7 / K?n=Y9 C (74E?I=Y9 C ¡Z

B7B@FIVK¬FIBB$DQ 7 / K?n=YtF69]hBSF[\B@QKQERSFIVEFazNZ]"VMN&QKBDKJML.Fk_7¬huFIBJLh.H.Xk¯WZH]"FIV[\B@QKQbRSFnVKFIHB@[ £7FIQEFIhQKWYV]"FngWZH.BSFnVKQKFnH cH.FIVEXYB@F (74K?n=YF6 M>£NYD_7H"QUWYVKQE¯FIVKL4NRSQEFIHO V[&RSRSFnVKXYFPDGQKVEFI.QEFcRSFIhQKVEWYH.FnH;K?n=YF6 kDGWZRSR9XYFnXYFIH ¬FnVt]"FIH²FIR$NZDGQKBDKJML N&[³A¢NYDEDGFIVbDGQEW¼XYFPDGQKVEFI.QEFIH\cR@FI"QEVKWZH.FIH¬FI¯WYVEpI.XZQ H]0WYgQKBS[2BSFIVEQ¾uFIV5]"FIH¾>£aFI[QKV NXYQ ]"FIVFnVMDGQEF«¾FIVK[ BSH ¡Z F&JLH".HXD _7¬.¬.B@R$]"H.X ? ` NM>_7RSR@FIVM]"[email protected]]"BSF&DkN&R$D.QEFIhVKB bQKFnVKBS[ÃH.B$JMLhQtND >u HC_a¬.¬.BSR]".H.X<? `;v¬ BDGQ2]"BSFBS[ BSQKQEFIRu¯WZHC&RSRSFnVKFIR@FI"QEVKWZH.FIHBS[ £7FIQEFIhQKWYV ]"FIgWYHBSFIVEQKFcH.FIVEXYB@F\BSH<_a¬.LNHXYBSXZFIBSQ¯WYH ]"FIV £7FIQEFI"QEWYVERNHXYF].N&VKXZFbDGQEFIRSR@QI>9N&HCFIVKFIHH"Q99].N O.VtFIBSHFIHCDFIL.V\h.VKpnFIHC£7FnQKFIhQKWZV\].NZD, FnVKLN&RSQKHB$DXYFIXZFIHcBSHDqDGQKVEFI¬.Q9ªXYR@FIB$JML.pIFIB@QKB@XBSVM]N&¬FIV]"BSFBSH C9FIVEFIH.W&¯zbE~B$JMLhQ7.[®DGFIQEpI¬NVEF]"[email protected]¯FIVEVKBSHXYFIVEQI>£7Fn[QKV&N&XYQ ]"FIVU¿NhQKWYV (74E?I=YF6B@H ¡Y 79F&JLH".HX.> DIN&QKpbRSBJLBDGQkF&D .HDEJLFIHDGUFIVKQ9¾]"B@F\cH.FIVEXYB@F&N WDGH.XO.V&RSRSFnVKFIR@FI"QEVKWZH.FIH]"BSFt]h.VMJML~F&JMZNXYF¼]"FPD0hJL4N.FIV5Dl¯FIV5DKJML.RSFPJLhQKFIVEQBSV5] pn WYg.QEBS[\B@FIVKFnH¾>¾£7FI[ QKV&N&XYQt]"FnVt]"VKB@QKQKF¿NhQKWZV7B@HD ¡Y 7 _7¬¬.BSR]".H.X? `* J U FPJL.Hh.H.X> H_a¬.¬.BSR]".H.X¼?` ] uBDGQqDKJML.RSB@FIYR@B$JML]"B@F4#&¿f­qD% ].NVEXYF&DQKFIR@RSQn>ACB@F[N&HNH¢_7¬.¬BSR$]h.H.X¼?` ] DGBSFnL"Q9.LNQ]"FIVqWYg.QEBS[\B@FIVKQEF~.[\[email protected][\WYHBSQKWZVkFIBSH.F¼~NH.XZF¯WZHt^Z=J[> uFIBU]"FnV4 uF&DQKBS[2[.H.X]"FnV uVKFIB@QKF]"F&Dk£7Fn"QEFI"QEWYV5D [t.ZQKFFnBSH¢o WZ[\g.VEWY[\[email protected]²]"FnH XZFIWY[\FnQKVKBDKJML.FIHNH.XZFIH B@H]"FIVa_a`bEQKVEFI.ZN[\[2FIV9.H]\FIBSHFIVqc _« bKBS[t.R$N&QKBSWZH0XZFI[NZJLhQuUFIVM]"FnH¾>.£7B@F [email protected]]"F0LBSFIVE¬FnBuN&"O(t h> ¡J[ºOFPDGQKXZFIRSFnXYQI>¶_7"OXYVE.H] ]hFIVk¬FnXYVKFnH.pIQKFnH TR$N&QKpIZN&gNpIB@Q&N&QN&VFIBSH¬.VEFIBSQEFIVKFPDu£7FIQEFIhQKWYVE[\Wh]".RH.B$JMLhQuVKFPNRSBDGB@FIVK¬N&VI>

BSQ B7BSROF¯WYH qc9_ « .V5]"F<].NZD FnVKLN&RSQKHB$D]"FIV¼[\BSQEQKRSFnVKFIHcH.FIVEXYB@F&]"FIgWDBSQEBSWbH.FIHCB@[ £7FIQKFn"QEWYV (74K?n=YF9 z (7 Y¡Z=F6N"O t "> r¹¯FIVK¬F&DEDGFIVEQI>[email protected]¬F&DEDGFIVE.H.X2]"F&D [email protected]&D FnVMDKJML.FIB@H"QUH.B$JMLhQaDGBSHH"¯WZRSR .UFIBSRDB$JMLN&HDGWZHDGQEFIHFIBSHFIR@FI"QEVKWZ[NXZH.FIQKBDKJML.FIVhJL4N.FIVBS[ £7FnQKFIhQKWZV[\FIL.VN&DG¬BSR$]hFIHZNHH¾>NHL4NQ9].N&H.HtBS[uFPDGFIHhQKR@B$JML.FIHHh.VH.WhJMLt]"FIHtcH.FnVKXYB@FI¯FIVERSDQ]".VMJML WZH.B$DENQKB@WYHt¯WYHL.WhJLFIH.FIVEXYFIQEB$DKJML.FIH«¾FIBSRJL.FnH¾>

Page 37: diplom - uni-mainz.de · "!$#&% ' ( *),+ -/./+ /00 1( 32547698;:= + '0 ?# [ _7` bdc e"gfivebs[\fihhqadgwzrsr@fih ]"b@f 4 ufib@qkvp n xyf]"fivqdgqevmn h xyf 7 4n vk d7pi ¹]"fih²¿.wyve[0o

N ¬

J ]

_7¬.¬BSR$]h.H.X^?`&M*U .]PHZ \U$ i S gbdPHZnT i i P^Z^PHS 0S PHZ P'dP [ g i WS]PHS T VP$iP!39i WZ(74E?I=Z 9 C z (7 Y¡Z= 9 C " ifi PHZ$PdP [ WS P^Z^iP0S PHZ P (7K?I=Z 9 C dPHZ PHZ$P P!39ijZ!WS]PHS l 0S PHZ P'UWa g aS 7 / E?I=Z 9 C z (7K?I=Z 9 C d ]ijUhi XgHi g l^\]PHZ(Y a iP U 39i WZFN aZ P S P 0 P 39i Z WS PHS P^S PHZ P1'WS * P . P87 P gyUWa HXP$ijZU PHS P PHS*d P VP$iP!39i WZ UWSP S,lBT

Page 38: diplom - uni-mainz.de · "!$#&% ' ( *),+ -/./+ /00 1( 32547698;:= + '0 ?# [ _7` bdc e"gfivebs[\fihhqadgwzrsr@fih ]"b@f 4 ufib@qkvp n xyf]"fivqdgqevmn h xyf 7 4n vk d7pi ¹]"fih²¿.wyve[0o

4=f L'0 % 7#'-/ 1(+ /+#&r# 25 -/+# + %#m1(c),+-76#&-"#=<>

BSQ B7BSROF]hF&DTfVEWYXZVMN[2[\gNhQKFPD®qc9_ « aF&NZ `¯WZH]"FIV CUc9)³WOQ NVKF<~B b¬.V5NVK.V5]"Ft].NZD_7HhQGUWYVEQK¯FIVELNR@QKFIH]hF&D7TVEWYQKWZQ"gFIH²]"FPD ~.[2BSH.WDGBSQPNQ5DG[\WZH.BSQEWYVMDuB@HB@[0.RNQEBSWYHFIH²DGQE]"BSFnVKQI>9FIB@Q]hFIV9FIV5DGBSWZH<">m="?\BDGQ0qc9_ « B@H<]"FIV\~N&XYF7NJML ]"BSFTVKWh]""QEBSWYH¯WZH C9FnVKFIH.W&¯bK~BJLhQpI¼DBS[t.RSB@FVEFIH¾>Zc DuVM]"FkL.B@FIVK¬FIB[\B@Q VEF&NR@B$DQKB$DEJLFIVaFIWY[2FIQKVEBSFH] VEF&NR@B$DQKB$DEJLFIH²TNV5N[\FnQKFIVEHXYF&N&VK¬FIBSQEFIQI> FnVKuFnH]"FIQVM]"FIH¢Wh]".R@FN4Dc ]hFIR$DQMNLR [[email protected]@FIXYFnRSpIFIR@RSF ND7RNYD[\[email protected]<]"BJLhQKFIV7WZR$]"¬F&]N[\g"bO.H.X DBSFILFNJML okNg.B@QKFIRa¡h>S? 5> B7BSFnVKpI VM]"FIH ]"B@FFAFIhQKB@WYHDFIBSXZFIHDKJMLNIOQKFIH ¯WZH]"FIVtaWYR$]DGg.B@FIXYFIR@pIFIR@RSF7]"B@F_7¬DWYVEg.QKB@WYHDRNHXYF\¯WZH A NZDKDFIVH_T Blr&=- H] ]"B@F aN&H"bQKFnH.F 2pIBSFIHpu]hF&D9TfLWYQKWZ[[email protected]@FIVMD¾TL.B@RSB@gD kT9=YZ=Y&BSHt]"B@FBS[t.RNQKB@WYH DBSFILFaNJML_7H.L4NH.X U[\BSQEFIBSH.XZFI¬.V5NYJML"Qn>"£aBSFtTN&VMN[2FIQKFIVaN&Dk]"BSFPDGFIH²BS[t.R$N&[email protected]¼DBSH]B@H_7¬"b¬.B@R$]".HX?I¡tN¬.XZFI¬.BSR]"FIQn>B@[[email protected]]hF].NYD_7HhQGUWYVEQK¯[email protected]] ]"BSF2TVKWh]""QEBSWYH¢¯WYH C9FIVEFIH.W&¯bK~BJLhQ¬FIB9]"B@VKFIhQKFn[^cBSHDEJLh.\¯WZH<?I=YF6H]Y¡Z=F6 [email protected]¼BSHFIB@H²Wh]".R9]"FPD~.[\[email protected][\WYHBSQKWZVMD H]0N&HDKJML.R@BSFIZFIH]¬FnBª]hFI[ VEF&NR@B$DGQEB$DEJL.Fn[ 9FIV5DGJMLDEN"O¬N&0B@H]"FIV _7`bEQEVKFI.ZN&[\[\FIV[2BSQ ? b«NVEXYFIQH]\¯"B@FIVUWh]".RSFnH¾>._74DG[N&YF.H4]N&QKFIVEB$N&R bN&L.RªO.Va]"B@FBS[t.R$N&QKB@WYH2DGBSH4]®B]"FIHhQKBDKJML]"FIH.FnH]hF&Dce"gFIVEBS[\FIHhQMD >

1x* /\#M¦w:I#IÉ!":&Í,.x#P!"·9!"9¥v:&!hŪ#&!"; -IÄ&Í%c9D0.V5]"F²].NYD_7HhQuWZVKQK¯FnVKLN&RSQKFnH FnBSH.F&Dt£7FIQEFIhQKWYVE[\Wh]".RD¬FIBa[\WZH.WFIH.FIVEXYFIQEB$DEJL.Fn[cBSHDEJLh.¯WZH ?n=YF9cRSFIhQKVEWYH.FnHD (7 [email protected][[email protected]¬FIVEFIB$JMLt]"F&Da£7FbQKFn"QEWYVMD"a.H]²Y¡Y=F6jcR@FI"QEVKWZH.FIH (7±FIR$NZDGQEB$DKJML.FtQKVEFI..H.X¼BS[ACBSH.FIR@¬FIVKFIBJL¼]"FPD£7FIQEFIhQKWYV5D DBS[t.RSB@FVEQI>¾£7B@FcVKXZFI¬.H.BDKDGF¼]"B@F&DGFnV0B@[0.RNQEBSWYHFIH²DGB@H] BSH<_7¬¬.BSR]".H.X¢?I»].N&VKXYFPDGQKFnRSRSQn>£7BSFgFIhQKVKFnH<DGB@H] C9FIVEFIH.W&¯zbE.[2[0FIH4DGgFIhQKVKFnH]ª> L¶>]"B@F\cH.FIVEXYB@F\]"FnVg.VEWacfVEFIBSXZH.B$DªFnVKpIFIXYQKFnH C9FIVKFnH.W&¯zbdTL.WYQEWYH.FIHBS[ BSQKQEFIRWtq=Y=YaTL.WYQEWYH.FnH¬FIB.?n=YF9cRSFIhQKVEWYH.FnHlH] tq¡YZ7TL.WZQKWZH.FIH¬FIBhY¡Z=F6 [email protected]]hFNhO DG.[\[2BSFIVEQH]].N&HNYJMLB@HFnBSHB7BDGQEWYXYV5N[\[±[email protected]&XYFIH¾>NH¼DBSFILhQ6].N2]"BSFPDGFgFIhQKVKFnHFnBSH.FIH®NH]"FnVKFIH9FIVKRN"ON&"OuFnB$DGFnH.N&R$Da]"BSFk]hFIVaF&DdbDGH.X [2BSQ]hFI[ «¾F&DGQbWh]"R DGBSFnL.FokNg.B@QKFIR`>S? M>9£7FIV\aVE.H] R@BSFIXZQBS[ ¬FIXYVEFIH.pIQEFIHFAFIhQKB@WYHD¯FIVKLN&RSQEFIHt]"FIVUXYWYR]"¬F&].N&[\g"OQKFnHgBSFIXZFIRSpIFnRSRSF>ACB@F7[N&H\DBSFILhQ6BDGQ]hBSFq FbFIhQKB@WYH¯WYHaWYR]B@[^DGFIH4DGBSQEBS¯FIH uFIVKFIBJL2]"F&DaTL.WYQEWY[[email protected]$JML"QUB$]"FPNR¾BS[ FnVGbXYR@FIB$JMLtpI\[email protected]_7RS[\BSH.B@.[tDGgBSFIXZFIRSp FIRRSF FAFIhQKB@WYHD¯FIVK[²WZXYFIH t YB@[XYF&DEN[tQKFIHDGFnHDGB@QKBS¯FnH* uFIVEFIB$JML¼]"F&DTL.WZQKWY[t.R@QKBSgRSBSFnVMD 5>£7BSFPD7LNQqpI.Vk¿.WYR@XYF7¶].N¼]"B@F C9FIVKFIHW¯bTL.WYQEWYH.FnHHNYJMLUFIH.BSXZFIH F8FIhQKBSWZH.FIHNH ]"FIHA NH]"FnHtN¬DWYVK¬BSFIVEQ UFIVM]"FnH¾>&£NY]h.VMJMLFIVEVKFIBJL.FnHN&Dk]"FI[cBSHhQKVEBSQKQ5DG¬FIVEFIB$JML¼]"F&Dk£7FIQEFI"QEWYV5D7ZN.[ C9FIVKFIHW¯bdTfLWYQKWZH.FIH[\B@[email protected]²[email protected] NH.XZF¯WYH ¡YYH.[ ]"FnHTL.WZQKWZ[0.R@[email protected]@FIVI>

zr

Page 39: diplom - uni-mainz.de · "!$#&% ' ( *),+ -/./+ /00 1( 32547698;:= + '0 ?# [ _7` bdc e"gfivebs[\fihhqadgwzrsr@fih ]"b@f 4 ufib@qkvp n xyf]"fivqdgqevmn h xyf 7 4n vk d7pi ¹]"fih²¿.wyve[0o

N ¬

J

_7¬.¬BSR$]h.H.Xt?I¡MU ye "^g WZ []i WSWg9P PHS g l$\&U Hi PHS WSmY4$ d S P PHS d P ,P P^S UWSP dPHZ/\ hi WS PHS " Ve "^g WZ []i WSWg8 UWSP 'WS U g$g9PHZ S`l T P PHS,d P ,P P^S UWSP

dPHZ/\ hi WS PHS P87/P g UWa P i Z'U PHS T g9PHS g i PHSPHZ^P l^\wdP'g1 P^Z 7 P^SdP$iPHS /\ hi hXTVa i [- PHZ g /\ [g * ( * ( % l %LaUWSi P^S P3_ PHS _ dP'g \ hi WTVa i [- PHZ g /\ [g * ( * ( % P PHS*d P P PHS UWSP dPHZ6/\ hi WS PHS

Y

Page 40: diplom - uni-mainz.de · "!$#&% ' ( *),+ -/./+ /00 1( 32547698;:= + '0 ?# [ _7` bdc e"gfivebs[\fihhqadgwzrsr@fih ]"b@f 4 ufib@qkvp n xyf]"fivqdgqevmn h xyf 7 4n vk d7pi ¹]"fih²¿.wyve[0o

N ¬

_7¬.¬BSR$]h.H.X ?I»M U TVa/ P^Z^iPg PHZ$PHS/3 FX W[]P!39ijZFaT "FP d Z^P!3 i PHT 0 S g l^\&a 'WS * P .0 P!39ijZ!WS P^S " TVa PHZ$i Pg PHZ^P^S/3 FX k[ P 39i ZHaT "FP d Z^P!39iPHT 0 S g l^\&a 'WS $* P . 0 P!39ijZ!WS PHS P W[]P!39ijZ^PHS g Sd PHZ$PHS/3 FX aTVT P^S g[]P!39ijZ^PHS d \ d P0S PHZ PydPHZ/[ Z! 0LZ$P WS g PHZ_9PHahi P^S PHZ$PHS/3 HX/\ hi WS P^S)77aZdP^S`UWa $g aTVT PHZ^i aSdd Pg9P aTVT PHS P^Z P dWUWSS`\ gHi kZUWTVT PHZ$i

N

10 cm

¬

10 cm

J

10 cm

]

10 cm

_7¬.¬BSR$]h.H.Xt?rkM 0 S g l$\&a " dPHZyT i/dP^T LZ hi hijR^[]PHSdPg "aT S g i/UhiIg TWS i WZ gUWahgP S P^Z Y 0/e X TVa Uhi WS 0 S P PHSUWaP 0LZ!3 UWZHaS5dPHZ dPHZ "FP2 S&dP$i g l$\ T]P! 9i U U g P UWdP^S P ]P l^\]PHS PHZ U7idPHS VP$iP!39i WZ SUWl$\nP S P^Z ]i Z$PHaZ^P'U 39i WS T 'WZ'dPHZ^PHS (P^Z^P l^\ \&S]P;UWa $_ ahg l^\&UWa P^ZFS " 0 g " dP$i g l^\3P S l^\&UWaPHZ S P i 77UdPHZ VP$iP!39i WZFT i i PUWahg l P P UWdPHS PHS ]P l^\]PHS [&U g$g PHZ$PHS,dPHS \ hi WTVa i [- PHZ \&S PUWa $_ ahg l^\&UWaPHZHS d VPHZ P P!39ijZ!WTVU WS]P$i g l$\]P l^\&UWa P^Z" dP$ig l^\ d Z$P!39i 'WZLdPHT*a i [- PHZ UWakg aSd g l^\&UWaPHZ$i S P P P 3EaS&d UWZ^iP l^\]P^S UWa

Y

Page 41: diplom - uni-mainz.de · "!$#&% ' ( *),+ -/./+ /00 1( 32547698;:= + '0 ?# [ _7` bdc e"gfivebs[\fihhqadgwzrsr@fih ]"b@f 4 ufib@qkvp n xyf]"fivqdgqevmn h xyf 7 4n vk d7pi ¹]"fih²¿.wyve[0o

£7B@FgFn"QEVKFIH¬F&DGQEFIL.FIH¼N&D7]hVKFIB¶«(FIB@RSFIH McBSH _7DGR N"OFnV pI DGFILV [email protected] "> r¶F64FnBSHN&e"B@[0[´]"FPDfgFIhQKVE.[D¬FIB¾[email protected]¯WZHmth> rb ?Y> F6.H]FnBSH.FI[ R$NHXYFIHhJML" NH.p]"FPD gFIhQKVE.[D¬FIB9cH.FIVEXYB@FIHc ?Z> F9>ªcVE"R NVKFnHZNH.H²[N&H]"B@F]"VEFIB9«¾FIBSR@F]hF&DlgFIhQKVE.[DuOWYR bXYFnH]"FIVE[NZFIHM

M> £7FIVUFIRSFn"QEVKWY[®NXYHFIQKBDKJML.FhJL4N.FIVUZNH.HDB$JML0pn.[FIBSHFIH\]hBSVKFn"Q9HNZJLcB@H"QEVKBSQEQBSH®]"FI[£7FIQEFIhQKWYVUN&DG¬.B@R$]"FnH0Wh]"FnVupI.[ NH]hFIVKFIH®[email protected]&N&"QEBSWZH0B@[¯WYVM]hFIVKFIH uFIVEFIB$JML]"FnH £7FnQKFIhQKWZV¯FIVKRNYDEDGFIH _7¬.¬.B@R$]".HX ?&r* N 5>¾c9DlFIVEVKFIBJLFIHDWY[\[email protected]@XYF C9FIVKFIHW¯bdTfLWYQKWZH.FIH¢]"FIH¢TL.WYQEWY[t.RSQEBSg.R@BSFIV9]"BSF.[\[2F]hFIVcfHFIVKXZBSFIH²RSB@FIXYQB@H uFIVEFIB$JML\M> c ´h> r¾F9M>KM> A²FIH.H2DGB$JMLt]"FIVhJMLN&.FIV9BSHt]"FnVuB@QKQEFa]"F&D9£7FIQEFI"QEWYV5D N&DG¬BSR$]hFIQ9Wh]"FIV9XN&V].NZD g.VEBS[²N&VKFcRSFIhQKVEWYH¼]"FIH¹TL.WYQEWY[[email protected]&.FIVK¬BSR$]h.H.XgNZDKDGB@FIVKQ _a¬.¬.BSR]".H.X?&r,¬ J "&FIVKVEFIB$JML.FIHk¯hBSFIR@F C9FIVEFIH.W&¯zbdTL.WYQEWYH.FnHt]"FIHtTL.WYQEWY[t.RSQEBSg.R@BSFIV9FIHhQuF&]hFIV]"BSF ND9]"FnVhJMLNFIVKFIHhQB$JM"[email protected] 5OV9]"BSFU]"B@FFAFIhQKB@WYHNHt]hFIV g.BSFIXZFIRSpnFIRSR@F Hh.HN&DGVEFIB$JML.FIH4]lB$DQ6.[^]hFIHTL.WZQKWY[t.R@QKBSgRSBSFnV pnFnVKVKFnB$JML.FIHWh]"FIVq]"[email protected]]"BSF]"B@VKFIhQuB@H]"FnHTL.W&bQKWZ[[email protected]@FIVFIB@H"QEVKFIQEFIH¾>h£7B@F&DuB$DQ) uFIVKFIBJL2KM> c th> rkba?Y>m F65>KEM> ¿NR@R$D]"FIVQKVMN&L.R]"B@VKFIhQu¯WZVa]"FI[^TL.WZQKWY[t.R@QKBSgRSBSFnV9N"O DEJL4N.FIVEQ _7¬.¬.B@R$]"H.X\?&r, ] 0FIHhQMDQKFIL.FnH]hWYVKQq]"B@Fl[2FIB$DQKFIH C9FIVKFnH.W&¯zbdTL.WYQEWYH.FIH¼.H]XYFIRNH.XZFIH]"B@VKFIhQuB@H]"FnHTL.W&bQKWZ[[email protected]@FIVI>Z£7FIV TL.WYQEWY[t.RSQEBSg.R@BSFIV9DBSFILhQ9BSH]hBSF&DFI[j¿N&RSRN[j[2FIB$DQKFIH\~BJLhQu.H4]\]"BSFPDFIVEXYBS¬Qa].NH.H¹«(FnBSR¾EKM> c ?Z> F6 BS[gFI"QEVK.[¹>

cBSH.FnH uFIB@QKFIVEFIH UF&DGFIHhQKR@B$JML.FIH aVKH] O.V ]"BSF¼_74DG¬.B@R$]".HX]"FIV\gFn"QEVKFIH B@H _7¬.¬.B@R b]".HX ?I»\FIVEFIH.HhQ[N&HFI¬FIH"O NR@R$DN&D_a¬.¬.BSR]".H.X²?&r>c9D L4NH]"FnRSQDGBJL.[ ]hBSF,NLR]"FIVFI"H] NVEQKFIB@R$JML.FIH\B@[FnRSFIhQKVEWY[N&XYH.FIQEB$DEJL.FnHhJMLN&.FIV6]hBSFk].NZD7g.VEBS[ N&[email protected]]".pIB@FIVKQ9ªN&R$DGW2]"[email protected]@QKBSgRSBSpnBSQ N&Q]"FPD hJMLN&.FIVMD >(W0B@VM]]NYDcRSFn"QEVKWYH¹NDq_7¬.¬.B@R b]".HX?r N79N&D]"FI[ £7FIQEFI"QEWYVUXYF&DQKVKFn.Q6WYLH.FkFIBSH.FnH0FIR@FIhQKVKWZ[NXZH.FIQEB$DKJML.FIHthJMLN.FnVpIg.VKWh]"pIBSFIVEFIHI N&L.VKFIH4]].NYDcR@FI"QEVKWZHN&D_7¬¬.BSR]".H.X?r ] BSH¯hBSFnRSFuFn".H4] NVEQKFIB@R bJML.FIH2N"O DEJLN&.FIVEQI>.£qNY]".V5JL2uFIV5]"FIHtBSH ] [\FIL.V C9FnVKFIH.W&¯bTL.WZQKWZH.FIH\B@[±£7FIQKFn"QEWYVGb¯WYR@.[\FIHtg.VEWh]".pIB@FIVKQaN&R$DBSH N7M>

ACBSFU[NHtN&Ht_7¬.¬.B@R$]"H.X?I»FIVEFIH.HhQ6IBDGQ¬FIB]"FI[ ?I=YF6´hJMLN.FnV9]"BSFUA N&L.VMDEJLFIBSH"bRSBJLFIBSQ OVa].NYDcBSHhQKVEFIQKFnH\¯WYH«¾FIB@R¾M>"Wh]"FnVaKM>.N&[jXYVPWYYQEFIH¾>c9Du¬.B@R$]"FIH®DGB$JMLN&e"B@[N]"FIV FnVKQKFnBSRSH.XBSH uFIVEFIB$JMLM>.H]²KM>ªN&D>@ uFIB]"FI[ Y¡Y=F6jhJMLN.FnV7¬F&DBSQKpnFIH²]"BSF«¾FIBSR@FKM> H]<KKM>]"BSF\XZV&WZYQKF¼A N&L.VMDEJLFIBSH.R@B$JML.FIBQ4 DGBSFnL.F\L.B@FIVKpI NJML olN&g.BSQEFIRu`>S? ~NXZF¼]"FIV0zJLN&.FIVE[NehBS[N7M>c9D¬.BSR]"FIQDGBJL FnBSH¢]"FI.QERSB$JML.F&DkN&e"B@[N\BSH uFIVEFIB$JML²KM>N4D> [ BSQEQKFIR9uFnVM]"FIH¢g.VKW¹cfVEFIBSXZH.B$D="?n C9FIVEFIH.W&¯bTL.WZQKWYHFIH ¬FIB?n=YF9^[email protected]]¡Z"? C9FIVKFnH.W&¯zbdTL.WYQEWYH.FIH¼¬FIBZ¡Y=F9±[email protected]>_7R$DWFIVEpIFI.XZQ]"FnVZ¡Y=F6±hJMLN.FnVt =h> r[N&R¾[\FIL.V C9FIVKFnH.W&¯zbdTL.WYQEWYH.FIH¶>ª£7B@FN&e"B@[N

`

Page 42: diplom - uni-mainz.de · "!$#&% ' ( *),+ -/./+ /00 1( 32547698;:= + '0 ?# [ _7` bdc e"gfivebs[\fihhqadgwzrsr@fih ]"b@f 4 ufib@qkvp n xyf]"fivqdgqevmn h xyf 7 4n vk d7pi ¹]"fih²¿.wyve[0o

]"FIV9gFIhQKVEFIHND«¾FIB@RhKM>IRSB@FIXYFIHqBS[¿NR@RSFU]"F&D9?I=ZF6 cfB@HDKJMLhDKDF&D(¬FIB?Z> =Z F6°H]¬FIB9Z¡Y=F6±cB@HDKJML"0¬FIB?Z> »h?ªF6>£7BSFPD FIVEXYB@¬.QFIB@H 9FIVKL NRSQEH.B$D¯WYH²h> 0pnB$DKJML.FIH¬FIB$]hFIH .H] ¬F&DQ NQEBSXZQtDGWY[2BSQ]"BSF¼BS[t.R$N&[email protected]­ag.QEBS[\[email protected]]hF&D£7FnQKFIhQKWZVM]"FbDGB@XYHDBSH¼okNgBSQKFnRª`.>@?Y>

1x* $* /\#M¦w:I#IÉ!":&Í,.x#P!";<x# u,:P'!#.V 57¬FIVEg.VZhO.H.X aWY¬ FIBSH´A¢NYDEDGFIVb C9FnVKFIH.W&¯b£aFIQKFIhQKWZV¬FIB ]"FI[ XZFIXYFI¬FIHFIH FnVGbDG4JLDEN"O¬4N]"B@FH(WYQKB@XYF¹DGQMN&QKBDGQKBDKJML.FaFIHNBSXYFnBSQ¯WZH´? I?n R@BSFOFIVEQ6¾.V5]"F]"FnV9FIVMDJMLDKN&"O¬N2H.WhJLFIB@H.[N&R.[\BSQf« N&VKXYFnQ6.N&R$DW.H"QEFIV9VKF&N&RSFIH FnVMDG4JLD¬F&]"BSHXY.H.XZFIHNhOUDGFIB@H_7HhQuWYVEQK¯FIVELNR@QKFIH2BSHBS[[email protected]> HC_7¬¬.BSR]".H.X ?I NB$DQ\]"FnV\DBS[t.RSB@FIVKQEF\cH.FIVEXYB@FI¯FIVKR@DGQt]hF&DFnRSFIhQKVEWY[N&XYH.FIQEB$DEJL.FnHhJMLNFIVMDBSH2]"FIV9A¢NYDEDGFIVb FIR@RSFa]"FPD ~[\BSH.WDGB@Q&NQ5DG[\WZH.BSQEWYV5D pI2DGFIL.FnH¾>NHtZNH.H®NJML]"B@F&DGF&DgFIhQKVE.[^BSF&]"FnV7B@H[\FILVKFIVEFk«(FnBSRSFk.HhQKFnVKXYR@BSF&]hFIVKH¾> .[^FIBSHFIHFIVEFIH.HhQ[[email protected] #PHBSF&]"FnVKFIH.FnVKXYFnQKB$DEJLFIH% «(FIB@R[\BSQUcH.FIVEXYBSFnH `=F6.H]tpI.[ NH]"FnVKFIH\FnBSH.FIH#L.WhJML.FIHFIVKXZFIQKBDKJML.FIH%«¾FIBSR[\BSQUcH.FIVEXYB@FIH `=F6>£7FIV# L.WhJLFIH.FIVEXYFIQEB$DKJML.F %«(FnBSRuZN&H.H°FIB@H]"FIQKBSX¼[\BSQ]"FnVtcfHFIVKXZBSF&]"FngWDGB@QKBSWZH<]"FIVFnR$NPbDGQEB$DEJLXZF&DGQEVKFI.QEFIH²cRSFIhQKVEWYH.FnH.H]²]"FIVk&RSRSFnVKFIR@FI"QEVKWZH.FIHB]"FIHhQKB FpIBSFnVKQuFnVM]"FIH¶>ª£7FnV# H.B@F&]"FIVEFIH.FIVEXYFIQEB$DEJL.F %7BDGQa].NZDcVKXYFn¬.H.B$Du¯WZHBSFIRO NYJMLDGQEVKFI.H.XYFnHYO .Va]"F&DEDGFIH BN&.g.QGbQKFnBSR]"BSF [email protected]¯FIVMN&H"QUWYVKQERSBJLkB$DQI> B7FnB$ Y¡ .¬FIVEF&JML.H.FIQEFuBSH [email protected]£aB$DdbDGFnVKQMN&QKB@WYH].NZD7gFIhQKVK[FIBSH.FnVu&[email protected] .N&"O].NYDN&H]"B@F&DGFIVQEFIRSR@F7¯FnVGbBSFPDGFIHDGFnB >&cRSFIhQKVEWYH.FnH[\B@Qª[email protected]¯WZH¬.BD(pIk`F6°UFIVM][email protected][ =YJ[]"BJFIH2T WZRSFIQEL"hRSFIH4N¬DWYVK¬FIVU¯WYR@R$DGQ NH]hBSXXYFPDGQKWZg.g.Q B7FnB$ Y¡ >£7B@Fu_qDGh[\[\F QKVKB@F]"FIV&RSRSFnVGbdWYQKQbKQKVKFn..H.XBDGQ¾¯FIVEHNYJML.R N&YB@XY¬N&V¾"R@FIBSHn]"FIH.H]"B@F B7FbRSB@pIBSQPNQq]"F&DkcRSFIhQKVEWYHDa¬.RSFIB@¬.QFIVELNR@QKFIHF&D FH4]"[email protected].[\hR$N&g.g..H.Xt¯WYH²[email protected]]VKFPJLhQMDLNH]hBSXkgWYR$N&[email protected] 1KW»` >7a.V9]"FIVU_7HhQKFnBSR &]hFIV9HNYJML]"FIVtQKVEFI..HXQKVMN&HDG¯FnVMDKN&RgWYR$N&VKBDGBSFnVKQN&VKF7¶WYHH"QEF\FIBSHFIH H.FIHH.FIHDuFIVEQKFIH uFnBSQKV5NXpI.Va_qDGh[\[\FIQVKB@FRSB@FOFIVKH¶>NLRSQu[®NH]"B@FcB@H"QEV&NXZFkBS[jgFIhQKVE.[*hDGWFIVELNR@Qu[N&H0O.V ]"FIH«¾FIBSR¶ND]hFIV&RSRSFnVGbWYQEQGbEQKVEFI..HX?I Z¡`cVKFnBSXYHB$DKDF7"O.Vq]"FIH¹«(FIB@R]"[email protected]]FIR$NZDGQKBDKJML.FIHQEVKFI"b.H.X²r&h?I¡cVEFIBSXZH.B$DEDGF>£NZD 9FIVKL(NRSQEH.B$DapIB$DEJL.FnH²]"FIH²¬FnB$]"FIH²«¾FIB@RSFIH¬FIQEV&NXZQ t±h> `>£7FIVa«¾FIB@Rª]hF&D7gFIhQKVK[D9NDa]"FIV [email protected][\[QFIBSH.FnHaVKWYZQKFIB@R¾]"FnV¿ RdNYJML.Fk]"F&D7gFn"QEVK.[DuFnBSH¾>£NZD C9FIVKFnH.W&¯zbE.[\[2FHDgFI"QEVK.[ ].NYDt¯WYHC]hFIV0B@H ]"FIVtA NZDKDGFnVGbFIRSR@F][email protected]²L.FIVEVZ.LVKQ6UB$DGQB@H´_7¬¬.BSR]".H.XC?n ¬2].NVEXYF&DQKFIR@RSQI>UACBSF&]"FnV\.VM]hF L.B@FIV¼]"BSFcH.FIVEXYBSF¼N&RSRSFnVg.VKW<cVEFIBSXZH.B$DFIVEpIFI.XZQKFIH C9FIVEFIH.W&¯bTL.WZQKWYHFIHCN&"O NY].]hBSFIVEQ0.H4] L.BDGQKW&bXYV5N[\[2BSFIVEQI>c DpnFIBSXZQlB@F&]"FIV ]"FIH B@H<okNg.B@QKFIRU`.>m=">S?t¬FIVKFIB@QMDk¬FPDKJML.VKB@FI¬FIH.FIH9FIVKRN"O].NZDgFIhQKVE.[ ZNH.H B@F&]"FIVkB@H ]"VEFIB9«¾FIBSR@FtN"OXZF&DGg4NRSQEFIH UFIVM]"FnHM¾cBSH¢_7DRNhOFIVkpIDGFnL.V9"[email protected] C">r¾F64ZFIBSHtN&e"B@[0.[ ]"F&DugFIhQKVK[ ¬FIBFIBSHFIVcH.FnVKXYB@F¯WYH,t "> rb ?Y> F6´.H]\[email protected][RNH.XZFIHhJLhN&H.pk]"FPD7gFI"QEVK.[®D ¬FIBcH.FIVEXYBSFnHc

?Y>m F6>

`.?

Page 43: diplom - uni-mainz.de · "!$#&% ' ( *),+ -/./+ /00 1( 32547698;:= + '0 ?# [ _7` bdc e"gfivebs[\fihhqadgwzrsr@fih ]"b@f 4 ufib@qkvp n xyf]"fivqdgqevmn h xyf 7 4n vk d7pi ¹]"fih²¿.wyve[0o

N ¬

J ]

_7¬.¬BSR$]h.H.Xk?IMU 40S PHZ P8 P^Z ahgHi dPg=P P!39ijZ!WTVU kS P$i g l^\]PHS l^\&UWaPHZg SVdPHZ U g$g9PHZ$X P P dPg "aT S g i/UhiIg TWS i WZ g " PHZ^PHS3 FX aTVT PHS g[]P!3 i ZHaT T /\ hi WTVa/ i X[- PHZ l P^Z^Xhifi aTVT PHS g[]P!3 i ZHaT T /\ hi WTVa/ i [- PHZ d aTVT PHS g[]P!3 i ZHaTdPHZ PHZ$XVaSd P U gHi g l$\]PHS]ijZ^P^aaS aTVT PHS g[]P!39ijZFaT T \ hi WTVa i [- PHZ VPHZ l^\&S ifi S dPHS "FP dPHS aSi PHZ$PHS dPHZHS 7 aZ'dP 7 P S djU cUWSP'dP^a iP$i "FP * P . PHTVUWl$\i (P P^Z^PHS/3 FX aTVT PHS g[]P!39ijZ^P^S 77aZdP d P 0LS]PHZ P dPHZ P^Z _9PHahXiPHS PHZ$PHS/3 HX/\ hi WS P^S [ Z!60Z$P WS g UWa $g aTVT PHZ$i/aSd d P aTVT PdPHZ 0LS]PHZ P SP S gHi WZ'UWTVT P SP$ijZU P^S

`=

Page 44: diplom - uni-mainz.de · "!$#&% ' ( *),+ -/./+ /00 1( 32547698;:= + '0 ?# [ _7` bdc e"gfivebs[\fihhqadgwzrsr@fih ]"b@f 4 ufib@qkvp n xyf]"fivqdgqevmn h xyf 7 4n vk d7pi ¹]"fih²¿.wyve[0o

BSQ « N&VKXYFnQuFnVM]"FIH²g.VEWcVEFIBSXZH.B$D?`? C9FIVKFnH.W&¯zbdTL.WYQEWYH.FIH²FIVEpIFI.XZQI>¾£7FnVTF&N²]"FPDgFIhQKVE.[DRSB@FIXYQ9¬FIB¾]hFIHB@[0.RNQEBSWYHFIH[\BSQf« N&VKXYFnQ¬FnBFnBSH.FIVUcH.FIVEXYB@F¯WYH?Z> `?ªF64BSH ]"Fn[ uFIVEFIB$JML¢NR$DW U]"FIV¬FnVKFIB@QMD¬FIBa]"FIHCB@[0R$NQEBSWZH.FIH²[\BSQk[\WZH.WFIH.FIVEXYFIQEB$DEJL.Fn[QEVMNLR¾¯WYVKLFIVKXZF&DKN&XYQa.VM]"F> H"QEFIVKFPDKDKN&H"Q¾BDGQ¾F&DªHh.HpIOVMNXZFIH&BSFI¯hBSFnRSF C9FIVKFIHW¯bdTfLWYQKWZH.FIHk¯WYH ]"FIHR@[email protected]]BSFI¯hBSFIR@Fk¯WYH]hFIH²[email protected]&[email protected]]FnR$NYDQKBDKJML.FIVQEVKFI"b.H.X®DGQMN&[\[\FIH¶> B7BSFIVEpI.VM]hFBSH_a¬.¬.BSR]".H.X¹?I NaFIBSH²hJML.H.BSQEQ7B@H]"FnVkcH.FIVKXZBSF¬FnBc, `=F9 XYFn[NYJML"Qn>£7BSF cVKXYFn¬.H.B$DEDGF2]"BSFPDGF&DacH.FIVKXZBSF&DEJLH.BSQEQKF&DaDGB@H]BSH¹_7¬.¬.B@R$]".HX?I J ´] f].NVEXYF&DQKFIR@RSQI> J pIFIB@XYQ9]NYD C9FnVKFIH.W&¯bK.[\[\FIH4DGgFIhQKVK[]"FIVUR@[email protected] ] ]hBSFa]"FIVfcfVEFIBSXZH.B$DEDGFaN&Du&RSRSFnVGb¾H]FnR$NYDQKBDKJML.FIV9QKVEFI..H.X>hNH2DGBSFnL"QFIB@H]"FI.QEBSX ].N]hBSFcVEFIBSXZH.B$DEDGFN&D]"FnV&RSRSFnVGbU.H]FIRNYDQKB$DEJLFIHQKVEFI..H.X®]"WY[\[email protected] bVKFnHhDGBSFag.VEWh]".pIB@FIVKFIH2[\BSQ=Y Z C9FIVKFIHW¯bdTfLWYQKWZH.FIH\gVKWcVEFIBSXZH.B$D9FIQNk=Yk[NRDGW&¯hBSFIRBSF2]"B@F\N&D]"FnV&[email protected][\B@Q?n¡ C9FIVKFnH.W&¯zbdTL.WYQEWYH.FIH²[email protected]>£NZD0gFI"QEVK.[ N&D]hFIV&RSRSFnVGba.H]FIRNYDGQEB$DEJL.FnH QEVKFI.H.XL4NQFnBSH¢NehBS[t.[^¬[email protected]@Fk¯WYH²?Y>`F6>

_7H²]"B@F&DGFnVQKFnRSRSF DGFIB .¬FIVKg.VZ"OQ6¾WZ¬ [N&H[\B@Q]hBSF&DFI[ _7hO¬[email protected]$DGQEB$DEJL.F\aFbHN&.BSXZFIBSQ¯WZH´?8I?n g.VEW [DFIVEVKFIBJL.FnH ZNH.H¾>2B7B@FIVKpI DFIBuO .V2]"BSF¹7N&QKFHh.V2]"[email protected]\.H]²]"B@FFIR$NZDGQKBDKJML.F\QEVKFI.H.X¬FnQKVMNZJLhQKFnQ6¾]"B@FFIehgFnVKBS[2FIH"QEFR@RSFkaNQEFBSV5]0N&"OXYVE.H]\]hFIV 57HhQKFIVEXYVE.H]"FIVEFIBSXZH.B$DEDGFXZV&WYZFIVUDGFIB@H¾>£7B@FXYF&DEN[tQ9«¾FIBSRJL.FnH.VMN&QKF7Z]"BSFNhOa]"FIH¢£7FIQEFIhQKWYVqQKVKBQ6¾¬FIQKVPNXYQVt¼` Z*B7p7¾g.VEWcVEFIBSXZH.B$DuFnVM]"FIH<? `.? C9FIVKFIHW¯bTL.WYQEWYH.FnH°FIVEpIFI.XZQI>£aBSF&DkFIVKXZBS¬[email protected] C9FIVEFIH.W&¯bTL.WZQKWYHFIH.VMN&QKFBS[ TL.WYQEWY[t.RSQEBSg.R@BSFIV¯WYH¢»Y h>S? B7p (¬FIB9VEF&[email protected] 2pIBSFIHp]"F&DTL.WYQEWY[t.RSQEBSg.R@BSFIV5D>TVKW¼[D7uFnVM]"FIH»Y h>S? I ?n TL.WZQKWZH.FIH¢]"FIQKFn"QEBSFIVEQI>NHFIVELNR@QFIBSHFIH²DGQ5NQKBDGQEB$DKJML.FIH²¿.FILRSFIVaFIBSHF&DWb]".RDu¯WYH²?Yim=@IZ?I .H]RSB@FIXYQ DGWY[2BSQuB@[jXYF OWYVM]hFIVKQEFIH uFIVKFIBJL¶>

HFIBSH.FnVuFnBSQKFnVKFIH BS[t.R$N&QKBSWZH´.V5]"FIH =YJ [ TWYRSFnQKLh"R@FIHN¬4DGWYVE¬FIV¯WZV²]"BSF<¯hBSFIV£7FIQEFIhQKWYVE[\Wh]".R@FIH²XYF&DFIQKpIQ9 F&DB@VM] ]hFIVH.B@F&]"FIVEFIH.FIVEXYFIQEB$DEJL.Ft«¾FIB@R]"F&D&RSR@FIVGbdWYQEQGbgFIhQKVE.[D\N&¬.XYF&DEJLBSVK[tQ6 BaBSFIV5]".VMJML°B@VM]].NYD9FIVKL N&RSQEH.B$D0pnB$DKJML.FIH]hFI[ &RSRSFnVGbWYQEQGbEgFIhQKVK[ H]°]"Fn[ gFIhQKVK[ ]"[email protected]]<FIR$NZDGQKBDKJML.FIHCQEVKFI.H.X ¯FnVGb¬F&DKDFIVKQn> ­aL.HF²_7¬DGWZVK¬FIVt¬FIQKVE.X<].NZD 9FIVEL [email protected]¼WY¬FIHC¬FIVKFPJL.HFIQ`th> `>£7BSFgFIhQKVEFIHt]"FIVB@[0.RNQEBSWYH[\BSQT WZRSFIQEL"hRSFIH4N¬DWYVK¬FIVpIFIB@XYFIHB@[ 9FIVEXYRSFnB$JMLlFnBSH.FIHB]"FIH"bQKBDKJML.FIH 9FIVKRN"OqpI ]"FIH.FIH<WZL.H.F²_7¬DWYVE¬FnVI>U£NYD C9FIVKFnH.W&¯zbE.[\[2FIHDGgFIhQKVE.[ LN&QBSFP]"FIVK[FIB@H¼NehBS[t.[ ¬FIB9?Z> `F6 >._7R@RSFIV5]"BSH.XD B@VM]].NYDaR@RSFIVbWZQKQbKgFIhQKVE.[XYFnXYFIH¬FnV]"FI[ ]hFIV&RSRSFnVGbH] FIRNYDGQEB$DEJL.FnH QEVKFI.H.X°FnQG NYD\.HhQKFIV5]"VZ4JhQI>£qNYD9FIVKL(NRSQEH.B$D9pIB$DEJLFIH]"FIH¼¬FIB$]"FnH¿ RNZJLFIH¼]"FIVgFIhQKVEFIH¯FIVK¬F&DEDGFIVEQDGBJL¼N&"O9h> ¡h>QPNVKFnVªO5NRSR@Q]hFIVT WYR@FIQKLhhRSFIHN&¬DGWZVK¬FIV¾B@HDfaFIBJLhQ6 uFIHH[N&HlB@F&]"FIV¾FnBSH.FIHhJML.H.B@QKQ¬FIBFIBSH.FnVcH.FIVEXYB@F¯WYH`=F6[NZJLhQI> B7BSFnV7UFIVM]"FnHHh.H²zr>S? C9FIVEFIH.W&¯bTL.WZQKWYHFIHN4D]"FI[R@RSFIVbWZQKQbKgFIhQKVE.[^FIVKpnFI.XYQa.H]¼YZ=">S? C9FIVEFIH.W&¯bTL.WZQKWYHFIHN&Dk]"FI[gFIhQKVE.[ ]"[email protected]]FnR$NYDQKBDKJML.FIH QKVKFn..H.X> uFnQKVMNZJLhQKFnQ[NH²].NZD C9FIVKFIHW¯b.[2[\FIHDgFn"QEVK.[ WYL.H.FthJML.H.BSQEQ6DGWtuFIV5]"FIH¼=YZ¡ C9FIVEFIH.W&¯[email protected]@FIVKQ9YN&R$DWl¯FnVK¬F&DKDFIVKQDGBJLt]hBSF N&L.R]"FnVBSHt]"FnVu.[\[2F9]"FIVFnVKpIFIXYQKFnH C9FIVKFIHW¯bTL.WYQEWYH.FnH.[jFnBSH.FIH¼¿NhQKWZVk?Y>`¡">

`

Page 45: diplom - uni-mainz.de · "!$#&% ' ( *),+ -/./+ /00 1( 32547698;:= + '0 ?# [ _7` bdc e"gfivebs[\fihhqadgwzrsr@fih ]"b@f 4 ufib@qkvp n xyf]"fivqdgqevmn h xyf 7 4n vk d7pi ¹]"fih²¿.wyve[0o

cRSFIhQKVEWYH.FnH]"B@FTVKWh]h."QFnBSH.FIV+BSFIRO NYJMLDGQEVKFI.H.XkDBSH]0H]\cH.FIVEXYBSFnH °`F6´¬FbDGB@QKpIFnH"B@H]hFIH¼T [email protected]@FIHN&¬DGWZVK¬FIVKH2XYF&DQKWYgg.QI>£7FIVaF&DGQa]hF&D # H.BSF&]hFIVKFIHFIVKXZFIQKBDKJML.FIH%_7HhQKFIB@R$D8]"FIV .¬.VEBSX¬.RSFIB@¬.Q6ZR NZQDB$JML\N&R$Du JM.DQKVEFI..H.XN&H]hFIHQKVKFn.ZN[\[\FnVK NH4]"FIH.H]¼NH¼]"FIH¼N&H]"FIVEFIHWh]"RSFIH¼]"FIQKFIH¾>cBSH.Fa HDQMN&RSR$N&[email protected] =ZJ[±T WZRSFIQEL"hRSFIH4N¬DWYVK¬FIV5D ¯WYVf]"FI[~[\BSH.WDGB@Q NQ5DG[\WZH.BSQEWYV NLVKFIH]¼]"FIVa£N&QKFIHHNL.[2Fk]"F&Dace"gFIVEBS[\FIHhQMDFIV5DKJML.FIB@H"Q9VMN&QMDEN[>

`Y`

Page 46: diplom - uni-mainz.de · "!$#&% ' ( *),+ -/./+ /00 1( 32547698;:= + '0 ?# [ _7` bdc e"gfivebs[\fihhqadgwzrsr@fih ]"b@f 4 ufib@qkvp n xyf]"fivqdgqevmn h xyf 7 4n vk d7pi ¹]"fih²¿.wyve[0o

4=9 ?#&+ /(% % /W# =(.£7.V5JL]hBSFXZVKWZYF-NLR¯WYH«¾FIBSRJLFIH]hBSFBSLVKFcH.FnVKXYB@FB@[ £aFIQKFIhQKWZV]"FIgWZH.BSFIVEFIH¶WYH.HhQKFIHB@[ £7FIQKFn"QEWYV9QKV5NL.R@FIHDKJMLNZ]"FIHtNhOQKVKFnQKFIH¾>ZcBSH.FUWY¬FIVEF7VEFIH.pIF9O .V9]"B@F7QEVMN&L"bRSFnH"¬FIRNYDGQE.H.X<FIVKL4NRSQEFIHBSV9.uFIH.H¼BSVqNH.HFIL.[\FIH@.].N&]"BSFcH.FIVEXYB@[email protected]&D«¾VKFFIV5D¯WYR@R$DQ&NH4]"[email protected][email protected]&H.XYF ]"FIgWYHBSFIVEQBSVM]>cBSH¹£7FIQKFn"QEWYVKFnRSFI[\FnHQ ¬F&]hF&[email protected]¼7N&.[tBSH.FIR¯WZH ?YimY» I?I DVI>£NZDTVKWh]".hQ I (7 XYB@¬.Q9]"B@FXYF&DEN[tQKFUcH.FIVKXZBSF&]hFIgWDGB@QKB@WYHBS[ £7FnQKFIhQKWZV9NH¾>ZA [email protected]]"B@F£7BJLhQKF¯WYHA¢NYDEDGFIVk?ªX &J[ B .H]]hBSFQEVMN&L.RS.HXDGRdNH.XZF K ¯WYH ? Z»">@?¾J[>£7FIVa_7¬DQMN&H]pI.[ « N&VKXYFnQ¬FnQKV&N&XYQ?nYJ [>£7B@F97N&QKFU]"FIV&[email protected]]"BSFPDGFI[ 7N&.[tBSH.FIR@¬FIVKFIB@JMLB$DQ¾`"r&»*[email protected][\[email protected]¬FIQEV&N&XYQ?n=YF9>£7B@FaNQEFa]"FIV9FIR$NZDGQEB$DKJML.FIH\QKVKFn..H.Xk¬FIQKVPNXZQ7? `*B7p¬FIBuFnBSH.FIVk[\[email protected]@F0¯WZH<Y¡Z=F6>_7D]hBSF&DFIH N&L.RSFnH"UFIVKQEFIHFIVKL(NRSQ[NHO.V vNLVKFIH]¼]"FIVXZF&DKN&[0QEFIH£N&.FIVq]"F&Dce"gFIVEBS[\FnH"Q5Df¯WZHFIQN0r&ZQE.H]"FIH $M

% ' / I (7 9 C K * u I * u ? I + z * u B I&»"i =&` I?I = K 9 C z % + »Z

+ 5 5 0 »Z0V5NY]+ 5 2 < ?I=">m»0V5NY]

£7B@F&DGFLWYL.FtQKV5NL.R@FIH"¬FIRNYDQK.H.XtDQKFIR@RSQUFIe"QEVKFI[2Fa_7HDGgVZJML.FkN&H].NZD£7FIQKFn"QEWYVK[®NQKFnVKB$N&Rv¯WZVNRSR@FIH¢£7BSH.XZFIH<N&H<]"BSF2cBSHhQKVEBSQKQ5DdOFIH4DGQKFnVk]"FIV TfLWYQKWZ[[email protected]@FIV.H]¢]"BSF2£7hH.Wh]"FIH]"F&D7gNH.Hh.H.XDGQEFIBSR@FIVMD"".uFnR$JML.F&D B@H¼]"FIV.[2[\F¬.B$Dupn rP¡VMNZ]N&DGLN&RSQEFIH[t..>

Page 47: diplom - uni-mainz.de · "!$#&% ' ( *),+ -/./+ /00 1( 32547698;:= + '0 ?# [ _7` bdc e"gfivebs[\fihhqadgwzrsr@fih ]"b@f 4 ufib@qkvp n xyf]"fivqdgqevmn h xyf 7 4n vk d7pi ¹]"fih²¿.wyve[0o

c; B nI

£7B@FuBSHt]hFIH¯WZVMNHXYFIXNH.XZFIH.FIH2okNg.B@QKFIR@H¬F&DKJML.VEBSFI¬FIH.FnH9WYV5DGQK4]"BSFIHkO .L.VEQKFIHpI[ N&]"F&D9TVKWZQKWZQGhgFIH\[email protected]&Du~.[\[email protected][\WYHBSQKWZVMD8Y]"FnV B@H\]hBSF&DFI[okNgBSQKFnRª¡h>S?¯WYVEXYF&DQKFIR@RSQuFnVM]"FIH2DGWZRSR >. H\okN&g.BSQEFIR¡"> =DGWZRSR¾]hFIVuB@H\]"FnH«(FPDGQK[2F&DKD.H.XYFnH0¯FIVEuFIH4]"FIQKFFne"gFIVEBS[\FIHhbQKFnRSRSF _7"O¬N&H]]"[email protected]@0H(NL.FIVaFIVERNQKFIVEQuuFnVM]"FIH¶>

+),+-7#&-"#=< 1( (0'(-/# 7#&0-/( #&- +&_7¬.¬BSR$]h.H.X²?I pIFIBSXZQ]"FIH¢£7FIQKFn"QEWYVK¬FIL(NRSQEFIVk[\BSQkg.B@[email protected]]²TfLWYQKWZ[[email protected]@FIVI>£NZDuFIBSXZFIH"QERSBJL.FU£7FnQKFIhQKWZVK¯WYR@.[\FIH¬BSR$]hFIQFIB@H\c9]"FIRDGQ5NL.R@¬FnLNR@QKFIV9zB@H\]hFIH].NZD A¢[email protected]]ª>9£7FIVt£7FnQKFIhQKWZVLNQtFIBSH 9WYR@.[\FIH¢¯WYH5t= Z>Uc D.V5]"F¼c ]hFIR$DQMNLR¯FIVEuFIH]hFIQ6&uFIB@R.]hBSF&[email protected]$]"FIV5DGQ5NH].D O5NL.B@XYFIB@QXYFnXYFIH¬FnV cb A¢NYDKDFIVu¬FbDGB@QKpIQ9].NZD]h.VMJML]"BSF²BSWZH.B$DBSFIVEFIH]"F²[email protected] JML.FI[\BDKJML°DFIL.V¼NXZXYVEF&DKDBS¯CBSV5]ª>£7FnV£7FIQEFIhQKWYVaDFIRS¬4DGQaLNQq]"BSF ¿4WZVK[^[email protected]&DT"V5N[\B]"FIHDQK.[2g"OF&D>cfVaB$DQ¯WY[^cB@H"QEVKBSQEQMD OFIH"bDGQEFIVk¬.B$DapI.[ cH]N&HDKJML¢¡Y=Y[\[ R$N&H.X.>_7[ cfB@H"QEVKB@QKQMD OFIHDQKFIVaLNQFIVk]"B@FtNZF `Y`e `Z`[\[ .H]°N&[ cfH4]NH4DKJML! Z e<Z[\[¹> _aD®aVZ.H]"FIH ]"FIV\QEVMN&L.RSFIHhOF&DGQEBSXbFIB@QlVM]"F]hFIVcH]NHDEJL [2BSQB7FnRSB$J W FIe¹N¬.XZF&]"BJLhQKFIQk.H4] N&"Oq]"FIH cfB@HDKN&QKp\¯WZHa.[\[\BbK­bd [email protected]¯FIVEpIB$JMLhQKFIQn>

_7¬.¬BSR$]h.H.Xk?I M Z!hi hi R$[ dPg /aT S g iUhi g TWS i WZg a(g9P\]PHS gHiQdPHZ $* ( TVT UWSP77U g$g9PHZ P a iP VP$iP!39i WZ "FP'\U$ i P^Z,T iVdPHZ W[ P P _9P IP UWSP`t , ( TVT aSd3dPHZ/\ hi WTVa i [- PHZ$X U$ i P^Z VP^Z \ hi WTVa i [- PHZ i UWal^\i "FP t ((7TVT d Z$P!39i S dWU g U g$g9P^Z '$ aT PHS3P S P PgHijZ^PHaWiPHS)0 P!39ijZ!WS PHS*i Z$P$i P^S 'WS) S3Bg SmdP^S VP$iP!39i WZP S

Page 48: diplom - uni-mainz.de · "!$#&% ' ( *),+ -/./+ /00 1( 32547698;:= + '0 ?# [ _7` bdc e"gfivebs[\fihhqadgwzrsr@fih ]"b@f 4 ufib@qkvp n xyf]"fivqdgqevmn h xyf 7 4n vk d7pi ¹]"fih²¿.wyve[0o

_7¬.¬BSR$]h.H.Xk=ZM k[ P P _9P P dPg/aT S g iUhi g TWS i WZg RhZ'UWT dPHS gHijaT [ UWahg Y U gT iwY4$ d"FP'dWUWT [ aSaSd9 + : ? X l^\&a iI_$g l^\ l^\i , l T UWS "FPHSnZ$P'l^\i g gHi d Peahg$g[UWZHaS aZydPHS /\ hi WTVa i [- PHZ_ a g9P\]PHS

H].NZD£7FIQEFIhQKWYVE¯WYR@.[\FIHtBSV5][email protected]¬VMNYJMLhQ6..[]"B@FFAFne"B@WYHN&H]"FIH<A N&H]"FIH<pI<¯FIVE¬FPDKDGFnVKH¾>£7BSF~N&H.XYF¹]"FIV\gBSFIXZFIRSpIFnRSRSF¬FIQEV&N&XYQ2zr&[\[*¾uWZ¬FnBNH®]"FIV­a¬FnVMDGFnBSQKFFnBSH.F ­H"H.XlO.VU]"FnH\TL.WZQKWY[t.R@QKBSgRSBSFnVN&DGXZF&DGgN&VKQBDGQ _7¬.¬.B@R$]".HX=Y7M>£7B@FfOV]"B@F_74DG¬.VEFIBSQE.H.Xa]"F&D~B$JMLhQKF&DªHh.QKpn¬NVEF FIR@RSFLN&Q B@[ cfB@H"QEVKB@QKQMD¬FIVKFIBJLq]"B@FNPbYF Z¡eZ¡[2[j.H]¼N[TL.WYQEWY[t.RSQEBSg.R@BSFIV) »Z=e¼»Z=[\[¹>"_aR$D7g.B@[email protected]]hFIHXYWZR$]"¬F&DEJLB$JML"QEFIQKFaR$NZDKDKJML.FIB@¬FIH.H4][\BSQa_7R@.[\[email protected].[¬F&]N[\g"OQEFhR$N&VGOWYR@BSFIHXZFIQKFbDGQEFIQI> uFnB$]"F uF&].N&[\g"O.HXYFIH\VM]"FIH¼pID NQKpnRSB$JML[\BSQ ]"FI[^DFIL.VqDGQEVMNLRSFIH"OFPDGQKFnH9 + : ?v¬B$DpI ?nVMNZ]$ aNY]. Z=5 UXYFIXZFIH].NZD7A¢NYDKDFIVXZF&DKJML .QEpIQI>D N&QKpIR@B$JMLDGWZRSR]"BSF 9 + : ? bhJML"QKp&DEJL.BJLhQ9]"B@Fk[\F&JMLNH.BDKJML.Fa¿.F&DGQEBSXZFIBSQ ]"FIVaFIQ5NRSR@¬F&].N[2g"O.H.XZFIH0FnVKL WZL.FIH¾>

£7FIVUTL.WZQKWY[t.R@QKBSgRSBSFnV¾¬F8FH]"[email protected][ NH2].NYD9£7FnQKFIhQKWZVK¯WYR@.[\FIH NH.XZF&DKJMLhuFIBDdbDGQEFIH;"R@BSH]hFIV[\B@[email protected][ £7.V5JL.[2F&DKDFIVk¯WYH ¡Y¡ [2[Ã.H]<QMN4JLhQ[\[email protected][ÿ.FIH"bDGQEFIVk]"B@VKFIhQaBSH²].NZD A¢NYDEDGFIVkFIB@H¾>.Vk_7DRSF&DF]"FPD C9FIVKFnH.W&¯zbE~B$JML"QEF&Du.V5]"FIH¢TfLWYQKW&b[t.RSQEBSg.R@BSF V T =ZY=Z &¯WYH TL.B@RSBSg4D[\BSQ ]"FI[ ].N&pI.XZFILWYVEBSXZFIH g4NH.Hh.H.XDGQKFnBSRSFnV4k£?I=&` Po«9"g*CC¯FIVEuFIH4]"FIQI>h£7B@FcfB@XYFIH4DKJMLNPOQEFIH¼]"BSF&DFIVu¬FIB]"FIH¼oWY[\gWZH.FIHhQKFIHuFnVM]"FIHBS[ _7H.LN&H.X HN&L.FIVk¬F&DKJML.VEBSFI¬FIH¾> H ]hFIH²F&DKD.H.XZFIH VM]"F2]"FIVTL.WYQEWY[t.RSQEBSg.R@BSFIVkT9=YZ=Y&´FnBSH.XZF&DGFIQEpIQ6]"F&DKDFIH74NVKp OFIHDGQEFIV9FIBSHF7UF&DGFIHhQKR@B$JMLLWZL.FIVEFlQEVMN&L.RSFIHhOF&DGQEBSXbFIB@Qu¬F&[email protected]&R$DaTfLWYQKWZ[[email protected]@FIVGbd¿.FIHDQKFIV9N&D) uWYVKWDGB@RSBSZN&QI>cBSH<BS[2[\[email protected]]"B$JMLhQKFIQq]"FIH¢TL.WYQEWY[t.RSQEBSg.R@BSFIVaN&¬ .H4] QEVKFIH.HhQk].NZDlA¢NYDEDGFIVE¯WYRS[\FIH¯WY[~"OQK¯WZRS.[\FnH"B@H]hFI[^]"FIVgNH.Hh.H.XDGQEFIBSR@FIVDBSQEpIQI>cfB@HN&¬.H.FIL.[t¬N&VKFIV)"R@BSH]"FnVGb]"F&JMFIRZFIVKRN.¬.Q]"FIH.XYVEB ®N"O]"FIH0gNH.Hh.H.XDGQEFIBSR@FIV H]B$DQ FI¬FIHhO NRSRD([2BSQBaFIRSBJW FneXYFP]"B$JML"QEFIQI> £7FnV XZF&DKN&[0QEF9_7"O¬N&kpI.VBN&RSQKFnVK.H.Xa]hF&D TL.WZQKWZ[0.R@[email protected]@FIVMD.LN&Q [email protected]~N&H.XYF

`"r

Page 49: diplom - uni-mainz.de · "!$#&% ' ( *),+ -/./+ /00 1( 32547698;:= + '0 ?# [ _7` bdc e"gfivebs[\fihhqadgwzrsr@fih ]"b@f 4 ufib@qkvp n xyf]"fivqdgqevmn h xyf 7 4n vk d7pi ¹]"fih²¿.wyve[0o

¯WYH,t =YY[\[>£7B@F BqNRSQEFIWYH4DGQKVE.hQKBSWZH]"F&DTL.WZQKWZ[0.R@[email protected]@FIVMD\B$DQB@H FnBSH.FI[ ACBSHFIRk¯WYH` tC9FIVEFIH.W&¯zb ACBSHFIR NHXYFI¬.V5NYJML"Q9]"BSFPD ¯FIVE¬FPDKDGFnVKQa]"B@F~B$JML"Q5ND¬FI.QKF uFIL"?* >£7FIV TL.WYQEWY[t.RSQEBSg.R@BSFIVBSV5]\YZ [\[±L.BSHhQKFIVU]"Fn[jcBSHhQKVEBSQEQMDdOFnHDGQEFIV9BSH2].NYD£7FnQKFIhQKWZVK¯WbRS[\FIHFIBSHXYFI¬.V5NYJML"Qn>£7BSFkO .Vq]"BSF _7DG¬BSR$]h.H.Xt¯WYH C9FIVEFIH.W&¯zbE~B$JMLhQuHh.QKpI¬4NVKF £7FIQEFIzbQKWZVKR NH.XZF7¬FIQEV NXZQUYY[\[.H]FIH"Q5DGg.VEB$JML"Q]N[\B@Q]"FnVWYg.QEBS[\B@FIVKQEFIH~ NH.XZFN&D9okNg.B@QKFIR`.>@?Y>

£7FIV£aFIQKFIhQKWZVª[t.DW[NQEFIVKBNRNVK[CB@F9[²WYXZRSB$JMLXYFnLNR@QKFIHkuFnVM]"FIH@.[ ]"BSFUJM.DQKVKFn"b.H.XZFIH2N"O].NZDuokNR@WYVEBS[\FIQEFIV]"F&D9_7`bdce"gFIVEBS[\FnH"Q5D(pIt[\[email protected][tBSFIVEFH¶>&£7BSFqc9]"FIR$DQMN&L.RS¬[email protected]]"BSFtO .Vt]"FIH £7FIQEFIhQKWYV¯FIVKUFIH]"FnQlVM]"FIH@LN¬FIH<[email protected]£7BJFt¯WYH<=[\[>£7BSF¿ RNHDEJL.Fq[0.ZQKFIH2FIQNYD]hB$JMFIVUDGFIB@H*v`[2[ ".[ ]"[email protected]&DKD.H.Xt]"FnVa£7B$JML"bQKH.XYFIH¼pIXYFIN&L.VKR@FIB$DQKFIH¶>

£7B@F\A NVE[\FIFIHhQB$JM"R.H.X¼N&"OXYVE.H]°]hFIVcH.FIVEXYB@F&]"FIgWDQKB@WYH ]"FIVXZF&DGQEVKFI.QEFIH<cRSFn"QEVKWbH.FIH²BS[ £aFIQKFIhQKWZVK¯WZRS.[\FnHBSV5] FnQG N"> =A N&QKQ¬FIQKV5NXZFIH¾>£7.V5JL²A NVE[\F&DGQEVMN&L.RS.HX¶WYH.HhQKF¼FIBSH.F¼A NVE[\FIRSFnB$DGQE.H.X¯WZHC[NehBS[N&RU¡"> »A N&QKQ¼N¬.XZFO.L.VEQ\uFnVM]"FIH A²WYHªrZr- >_7"[email protected]\[email protected]]"F&D£7FIQEFIhQKWYV5DG¯WZRS.[\FnHDYN&H.HN&R$DW0¯FIVEpIB$JMLhQKFIQUFIVM]hFIH¾>

A²FIXYFIH®]"FIV9¬NRSB$JML.FIHaFIXYFn¬FnH.L.FIB@QKFIHtBSH]hFIV_7`&b/[email protected]]hFk]"FIVa~.[\BSHWDGB@Q&N&QMDG[2WbH.B@QKWYVaBSH¼]"FnVlQEVKFIYN&[\[\FIV9XZFIQKF&DQKFIQn> [^TNVEBSQPNQMDFIehgFnVKBS[2FIH"Q9B@VM]FnVuFIB@QKFIVaDQKVMN&L.R bN¬hNVEQMDFIBSHXYF&DFIQKpIQuFIV5]"FIH.[ ]"BSF¼JDGQEVKFI.H.XN&"O ].NYDtokNRSWZVKB@[\FIQKFnVDW"R@FIBSHBSFk[²WZXYR@B$JML0pILN&RSQEFIH¾>£7B@FT WDBSQEBSWYHBSFIVE.H.X¼]"F&D0~.[2BSH.WDGBSQPNQ5DG[\WZH.BSQEWYVMDaBSH<]"FnV0QEVKFI.ZN&[\[\FIVaB$DQBSH _7¬.¬.B@R b]".HXC="?¢].NVEXYF&DQKFIR@RSQn>7£aBSF<QKVEFI.ZN[\[2FIV0L4NQFnBSH.F ~N&H.XYF<¯WYH ?IZJ[ .H] FnBSH.FIH£7.V5JL[\F&DKDFIV9¯WYH¼YJ[>.£aFIV~.[\[email protected]&N&QMD[\WYH.B@QKWZVu¬FAFH]hFIQaDGBJL\B@[LBSHhQKFIVEFIH«¾FIBSR]"FIVQKVKFn.ZN[\[\FnV6]"B@FcfB@H"QEVKB@QKQMD OFIHDQKFIVUDGB@H] t ?ª[j¯WZ[^« N&VKXZFIQ7FnH"QOFIVKHhQI>c9D VM]"FIH¼¯"B@FIVWh]h.RSFXYFI¬N&.Q6]"B@FD"[2[\FIQKVEB@DKJML.[]"BSFQEVMNLR$NYJMLDFN&H.XYFnWYVM]hH.FIQDGB@H]; _7¬¬.BSR]".H.X²=Z=M>9£aFIV\QKV5NL.RaWY[2[Q]N¬FIBBSH _7¬¬.BSR]".H.X²=h?¯WZH [email protected]>£7BSFWh]".RNYJMLDGFnH ¬FAF4H]"FIH DGBJL¢.H"QEFIVFnBSH.FI[ QEVKFIhBSH.FnR ¯WZH ¡ ¯WY[ « N&VKXYFnQI> [email protected]$JML.H.FIQDGB@H]\]"[email protected][0.R@[email protected]@FIVKLN&RSQEFIV6&]"B@F¯[email protected].[2FIH¾>Z£7BSF&DFVKFnB bJML.FIH<¬.B$DO NYDQ\N&H]"BSFQEVKFIYN&[\[\FIVEN&H] LFIVMN&H°.H]°R@BS[\B@QKBFIVEQKFIH¢]"BSF¼_74DK]"FILH".HX]"F&DkWZH.BSQEWYVMD >¾£7B@F0¯hBSFIVqWh]".R@F\DBSH]BSHFnBSH.FIVq.[ ]"B@FQKVMN&L.R$NZJL4DGFtDGh[\[\FnQKVKBDKJKL.FnHBN&RSQKFnVK.H.X®NH.XZFI¬.VMNZJLhQI>£7B@FtDGh[\[\F QKVKBDKJML.Fq_7H.WYV5]"Hh.H.XB$DQ7H.WZQuFIH]hBSX .[^[\BSQa]"FnV57[DEJL4NRSQE.H.Xq]"FIVuQKVMN&L.RSgWZR$NVEB$DENQKB@WYH\WZVKVEFIRSB@FIVKQEF QKVMN&L.RSRNXZFhNH]hFIVK.HXYFIH2]"FIQEFI"QEBSFIVEFIH.H]²WYVKVEBSXZBSFIVEFIHpI ¶WYH.HFIH¾>_7.ZFIVM]"Fn[ ¾WZH.H.FIH [2BSQk]"FnVQKVMN&L.RSRNXZFhNH]hFIVK.HXWYVGbVKFnRSBSFnVKQKFuO N&R$DEJL.F _DGh[\[tFIQKVEBSF Ht]".VMJML2JMDGQKVEFI..HXNhO9].NZDokNRSWZVKB@[\FIQKFnV9N"OQEVKFIQEFIHuFnH.H¼]"FIV~.[\[email protected][\WYHBSQKWZVNZDGh[\[\FIQEVKB$DEJKL\N&"OXYFn¬N.QaB$DQI>c¬FIH"O NR@R$DkN¬XYFI¬.B@R$]"FnQlBDGQ].NZDokNR@WYVKB@[\FIQEFIVN&D 6:k=IboVKBDGQ5NRSR@FIH DBSFILFt_7¬.¬.B@R$]".HX="? .H]C=ZJ[ T WYR@FIQKLh"R@FIH"bd_7¬DWYVK¬FIV B7FnB$ Y¡7aVKB$ Z»5 >9£NZDolN&RSWZVKBS[2FIQKFIV¬FAFH]"FnQDGBJL2.H"[email protected][^QKVEFI"[email protected]¯WYH Y¡<¡ >

`

Page 50: diplom - uni-mainz.de · "!$#&% ' ( *),+ -/./+ /00 1( 32547698;:= + '0 ?# [ _7` bdc e"gfivebs[\fihhqadgwzrsr@fih ]"b@f 4 ufib@qkvp n xyf]"fivqdgqevmn h xyf 7 4n vk d7pi ¹]"fih²¿.wyve[0o

eLH - Target2

PbF2-Kristalle

35 O

1m

5O

Luminositatsmonitor

A4 - Streukammer

PE-Absorber

_7¬.¬BSR$]h.H.XC=h?hM l^\&S i i dWaZ'l^\5eX ]i Z$PHa$3EUWTVT PHZ VP^Z 0 P!3 i Z WS PHS gHijZU \ i Z ifi 'WS S/3 g S ? X UWZ P$iVP S amg9P\]PHS gHi "FPHZ$Pg aSd aSi P^Z^Pg VP$iP!39i WZHT dWa jS l^\iP SP_9P l^\&S P i g S&d5d P /\ hi WTVa/ i [- PHZ$X U$ iPHZ P i i P dPg 0 SijZ i iIg 9PHS gHiPHZ gdPgWS i WZ g6"FP2 SdP i g l^\ aSi PHZ>P S]PHT ]i Z$PHa 7 S/3WP WS0¡ 0"FP^S g `P SP_9P l^\&S P ig Sd;d P : ? X Z gHi U$ P dPg U$+WZ T P$i P^Z g aSiPHZ Y¡ ¡7 T i * ( lBT $ RWP$iI\&R PHSXU"^g WZ8"FPHZ

_7¬.¬BSR$]h.H.X¢=Y=M S/3Bg P i P^SUWS g l^\iUWa P^Z 9dWa P dPg "aT S g iUhiIg TWS i WZgT i Z U PHZHZU \&T P^S (P'l$\i g 0 SP8"$UWa iPHZ "aT S g i/UhiIg TWS i WZ S i Z$PHa 3 UWTVT PHZ `

Page 51: diplom - uni-mainz.de · "!$#&% ' ( *),+ -/./+ /00 1( 32547698;:= + '0 ?# [ _7` bdc e"gfivebs[\fihhqadgwzrsr@fih ]"b@f 4 ufib@qkvp n xyf]"fivqdgqevmn h xyf 7 4n vk d7pi ¹]"fih²¿.wyve[0o

f 2 !( ((1 8w%?#&+-/( H¼_7¬.¬.B@R$]".HX=`tB$DQa]"FIVFIehgFIVKB@[\FIHhQKFIRR@Fa_7"O¬N&[2BSQQKVEFI.ZN[2[\FIV6h~.[\BSHWDGB@Q&N&QMDdb[\WZH.BSQEWYVuH]pIXYFILWZVKB@[email protected]¶>

£7B@F0¯hBSFIVWh]"RSF]"FPD~.[\[email protected][\WYHBSQKWZVMD.V5]"FIH¾BSFtBSH ]"FIVFnVMDGQEFIH¢«(F&DQK[\FPDdbDGH.X h[\BSQ9]hF&DGQEBSRSR@BSFIVEQKFI[ A NZDKDGFnVuXYF O .RSR@QI>h£7BSF uF&DQZJM"H.Xk]"FIVU¯"B@FIV9Wh]"RSF[\B@Q g.BSFbXYFnRSpIFIR@RSFIHFnVGOWYR@XYQEF7[\B@Q9]"FIH2pIuFIB7WZR$].Dg.BSFnXYFIR@[email protected]]tpIuFIBN&RS.[\[email protected][¬FP].N[tg"OQKFnHhR$NVOWYR@BSFIH¾>A²[email protected]]"[email protected]«(FPDGQK[2F&DKD.H.X\WZL.H.Fg.BSFnXYFIR@pIFIRSR@FXYFn[NYJML"Q9NRDGWHh.V[\BSQU]"FnHc9]"FIRDGQMN&L.RSN&H]"FIH¼]"FPD7~.[\BSHWDGB@Q&N&QMDG[2WYH.B@QKWYVE[\Wh]".RD>

£7B@FF&DEDG.H.XZFIHCN&H_lFnVGOWYR@XYQEFIH°[\[email protected]$DGB@FIVKQEFI[ cRSFn"QEVKWYHFIHDGQEVMN&L.R >U£7BSFB@XYHN&RSFk]"[email protected]]hFIH<.¬FIVk?ª[[email protected]]\BSH®]"FIH¼].NV5N"WZRSXYFnH]"FIH?I= % D]"B@Fk£N&QKFIH¼BSHFIBSHFI[j_q£ C°WZH"¯[email protected]]N¬XYF&DgFnB$JML.FIVKQn>

HC]"FnH°«¾F&DQK[\F&DEDG.HXYFIH .VM]"FnHCDGWZXYFIH4NH.HhQKF¹NhVKWYg.R$DF¯FIVEuFIH]hFIQI>£7BSF¹NhVKWbg..RDGFLN&QKQKFnH°[email protected]~NH.XZF¯WYHC¡Z [D >3.V\[email protected]²]"FIV2cRSFIhQKVEWYH.B@ .Vb]"FFIBSHB@XYHN&R ¯WZ[ uFPDKJML.RSFIH.BSXZFIV _vb«¾VKB@XYXYFnVA9¯FIVEuFIH]hFIQ6huFIRJL.FPD `Z % D¯WZV]"FIH¢cRSFIhQKVEWYH.FnH¯WYVKRNX> _a"OXYVE.H]²]"F&DkDGgFIpIB@FIRSR@FIH_a"O¬N4Dl]hF&DkdHhQKFnXYVMN&QKWZVMDN&VlFPD[ WZXYRSBJL@ND]"FIH²NhVKWZg..RDGFIH ?ª[D FnBSQGOFnHDGQEFIV7pn ¬FIR@BSFI¬.B@[email protected]&RS¬²]"FPDNhVKWZg..RDGF&DupI.HhQKFnVMDG4JL.FnH¾>£7B@F\£7B@XYB@QMNR@B$DBSFIVE.H.X¼]"F&DdHhQKFnXYVMN&QKWZVMDGB@XYHN&R$DkFIVGOWZRSXYQEF0[[email protected][ ?n» uBSQ_£ C ]"BSFPDGFIV_£ C±¯FIVEuFIH4]"FIQt].NZD9FIVGO N&L.VKFIH ]"FIV2DG.hpIF&DEDGB@¯FIH _7g.g.VEWehBS[®NQKB@WYH<.H]<¬F&DGB@QKpIQ\FnB bH.Fz_Tu~c Bl­k~£ QK"OF>.«¾F&DGQE[\F&DKD.H.XZFIH0[2BSQ9FIBSHFIVUDGQMN&¬[email protected]@FpIFIB@XYQEFIH.]N2]"BSF_7 WDGH.X\]hFIVacRSFIhQKVEWYH.B@0[\B@H]"F&DQKFIH4D ? ` uBSQa¬FIQKVPNXZQI>

0.4 ms

50 ms

Makropuls

MAMI-Trigger

Integrator-Trigger

_7¬.¬BSR$]h.H.X=ZM T SdPHZ Z P^Z aT PgHidPg . P^Z g al^\Wg UWa "$UWakg 7 aZ'dPHS ( Tg*U 3 Z!F[ a g9P WS e4 9PHZ 7/PHSdP$i/aSdVd P 0 P!39ijZ!WS 3UWa d P U 3EZ!F[ a g9P/g RhSl^\&Z hXS g PHZ$i aZl$\ P S]P1BUWZ U" P . P^Z _ P^ZFaS 3 WSSiP dPHZ HSi P WZ'Uhi WZ$X&Z PHZ SS PHZ\&U$+"dPg1*U 3 Z!F[ a g9Pg "FP P8" PHZg l^\ "FPHS 7 PHZdP^S

¡Y

Page 52: diplom - uni-mainz.de · "!$#&% ' ( *),+ -/./+ /00 1( 32547698;:= + '0 ?# [ _7` bdc e"gfivebs[\fihhqadgwzrsr@fih ]"b@f 4 ufib@qkvp n xyf]"fivqdgqevmn h xyf 7 4n vk d7pi ¹]"fih²¿.wyve[0o

-

Ω10

0

AN

AL

OG

SWIT

CH

1.05

ms

1ms

µs

8

20

AN

AL

OG

SWIT

CH

e

S1

50m

s50

ms

INT

EG

RA

TO

R

Inte

grat

orm

odul

& A

usle

seM

ON

O3

MO

NO

4

MO

NO

1

MO

NO

2 BSY

SAM

PLE

HO

LD

&16

BIT

AD

CV

ME

- B

US

AN

OD

EPM

10nF

OP

500n

s1.

05m

s

HA

ND

SHA

KE

OU

T

TR

IGG

ER

950m

s

MA

MI-

Mak

ropu

lse

Tar

get

05

PM

Det

ekto

rmod

ul

Stre

ukam

mer80

m R

G21

3-K

abelM

AM

I-T

rigg

er

S2

_7¬.¬BSR$]h.H.X=&`M 0 $[]PHZ T PHSiP PHZea "$UWa -0 g 77aZ'dPyT i/aS [ $ UWZ g PHZ$i PHT ]i Z'U \ aSd ( Tg U 3EZ!F[ a g9P4'WS e4 PHT Pg$g9P^S UWl^\wP S]PHZ i Z$PHaZ$P'U 39i WS;UWT ? X&UWZ P$i7 Z'd,dPHZ /\ hi WTVa/ i [- P^Z^X i Z WT T ^Si P kZUhi WZVUWa 2 Si P WZ PHZ$iyaSd T X i e 3 WS 9PHZ^i PHZ$i eS g l$\ P PHSd PHZ $ hi d P eahg8 Pg9P a "FPHZ . 0 X 9dWa/ P P0 P!39ijZ!hXS 3 77aZdP UWa d P U 3EZ!F[ a g9P g RESl^\&Z WS g PHZ$i

¡"?

Page 53: diplom - uni-mainz.de · "!$#&% ' ( *),+ -/./+ /00 1( 32547698;:= + '0 ?# [ _7` bdc e"gfivebs[\fihhqadgwzrsr@fih ]"b@f 4 ufib@qkvp n xyf]"fivqdgqevmn h xyf 7 4n vk d7pi ¹]"fih²¿.wyve[0o

£7B@F²_7DGR@F&DGF¼FIVGOWZRSXZQKF ¬FnVFnBSH cbdK­Wh]".R >cBSH.FXZFIHNF uF&DKJML.VKFnBS¬..HX ]"FnVcRSFIhQKVEWYH.B@¬FAFH]"FnQaDGB$JML\B@H_7H.LN&H.X,Ca>[email protected] 57¬FIV5DGB$JMLhQ ¬FnVa].NYD«uB@[\BSH.X]"FnVa«(VEBSXbXYFnV.H]]hF&DNhVKWZg..R$DF&DuB$DQBSH¼_7¬.¬BSR$]h.H.Xt=YXYFnXYFI¬FIH¾>

c9D BDGQa NL.VEFIH]¼]"FIVaDGg NQKFnVKFIH¹£NQEFIH.HN&L.[\F]"F&Dace"gFIVEBS[\FIHhQMD9H.WYQUFIH]"B@X "O .Va¬FIB$]"FT [email protected]]"FnHDGFIR@¬FIH H"QEFIXYV5NQKWZV\pI¯FIVKUFIH]"FnH9]"BSFPD0B$DQ]h.VMJML]"BSFDKJML.H.FnRSRSFA¢NH4]"RS.HX°.H]_7DRSF&DF ]hFIV~.[\BSHWDGB@Q&N&QMDKDBSXZHNR@F [²WZXYR@B$JML¾>u_aD]"BSF&DFI[aVK.H4] ZNHH [N&H°B@H Gr& BSHokNg.B@QKFIR "> =¢]"FIH¿NhQKWZV * L.FIV5NDXYFI.VKpnFIHU].N XYBSR@QBM* * * > HDGXZF&DKN&[0QU.VM]hFIHpIuFIB HhQKFIXZVMNQEWYVE[\Wh]"[email protected] _7DGR@F&DGFq¯WYHpIuFnB¾Wh]".R@FIH]"FPD7~"b[\[email protected]&N&QMD[\WYH.B@QKWZVMDuN&"OXYFn¬N.Qa.H]\¯FIVEuFIH4]"FIQI>£7B@Fk_7DRSF&DFIFIRSFn"QEVKWYHBS NVa]"VMJMLZ [jRNH.XZF7q=h?IokN¬FIR¾[\B@QU]"FI[ FnVMDG4JLDEN"O$b¬N&¯FIVE¬..H]"FnH¾>_7"OXZVK.H4] ]"FnVokN¬FIRSZN&gNpIB@Q&N&QH] okN&gNpIB@Q&N&QKFIH DGW&BSF²ACB$]hFIVMDQ&NH4]"FIHCBS[ gN&H"bHh.H.XDQKFIB@RSFIVB@VM]<DGBJL O.Vt]hBSF¼ H"QEFIXYV5NQKB@WYH ]"FIV\~.[\[email protected]@XYHN&RSFFIBSHF FnBSQKWZH"bDGQ5NHhQKF\FnVKXYFn¬FnH]"BSF².¬FIV ]"FIVkXYFn.HDKJMLhQKFIH¢ H"QEFIXYV5NQKB@WYHDpIFIB@Ql¯WZH°?[DRSBSFnXYQ DBSFIL.FokNg.B@QKFIR¶»">@? M>

¡Y=

Page 54: diplom - uni-mainz.de · "!$#&% ' ( *),+ -/./+ /00 1( 32547698;:= + '0 ?# [ _7` bdc e"gfivebs[\fihhqadgwzrsr@fih ]"b@f 4 ufib@qkvp n xyf]"fivqdgqevmn h xyf 7 4n vk d7pi ¹]"fih²¿.wyve[0o

7 @ ¶

£7FIV TVKWYQEWYQhg<]"F&D~.[\BSHWDGB@Q&N&QMDG[[email protected]]"F®N"OqDFIBSH.F®¿4H."QEBSWZHDGUFIB$DF0B@H ]"FnV_7`&bKQEVKFIYN&[\[\FIVaBSH²pIUFIBuQEVMNLRSpIFIB@QKFIH =\e²=` QK.H]hFIHLBSH.¬FIVKg.VZ"OQI>£7B@F0¯FnVGbDKJML.B@F&]"FIH.FnH\F&DEDG.HXYFIH\H]\BSL.VEFcVKXZFI¬.H.BDKDFlUFIVM]hFIH0B@H]"B@F&DGFI[±okN&g.BSQEFIRª¯WZVKXYFPDGQKFnRSRSQn>£7FIVa~.[\[email protected]&N&QMD[\WYH.B@QKWZV VM]"Fk[\B@QFIBSHFI[±_7RS[\BSH.B@.[b«NVEXYFIQ9N&"OfDGFIB@H_7HhQGUWYVEQGb¯[email protected]"Q.H]t]"B@Facf[2gFH]"R@B$JML.FIB@QªBSH2]"FIVfF&DKD.H.X]"FIV9BSHhQKFnXYVKB@FIVKQEFIH~.[\[email protected] NQ¬F&DGQEBS[\[Q) olN&g.BSQEFIR¾»h>S? M> H¼olN&g.BSQEFIR»">m=BSV5]].NZDG9FIVELNR@QKFIH]hF&D ? b«NVKXZFIQa[\BSQU]"B@F&DGFI[ TVKWZQKWYQhgFIHDQK]"B@FIVKQn>

((./ 0 # 1(0 25%.0(" 0 6 V /+./r#£7FIVt~.[\[email protected]&N&QMD[\WYH.B@QKWZVlVM]"FN&"OqDGFnBSH.F~BSH.FPNVKB@Q&N&QL.B@H .HhQKFIV5DGJML"Qn> aFI[\F&DEDGFIH.V5]"FL.BSFIVE¬FIB9H.B$JML"Q ]"BSF2N¬[email protected]~.[2BSH.WDGBSQPNQ9].N].N&pI ]"FIVXYFIHN&.F*DKN&[\[\FIHhbLN&H.X pIBDKJML.FIH<_£CbokNH(NRSFnH! cVKXYFn¬.H.B$DEDGFIH ]"FIVtF&DEDG.HX.H]°]hFIV#INLVKFIH %~.[\[email protected]]"B@XNVEF>

H_7¬.¬BSR$]h.H.Xt=Y¡[email protected]¿4WZRSXZFl¯WZH\BSHhQKFnXYVKB@FIVKQEFIH~.[\BSHWDGB@Q&N&QMDKDBSXZHNR@FN&"OXYFnQKVMN&XYFIH¶>£7B@F_7"OQEVMN&XY.H.XqFIH"Q5DGg.VEB$JML"Q¾FnBSH.FIV_7"OQEVMN&XY.H.XqXYFIXZFIHt]"BSF)FIBSQ9&].N7[\B@Q¾FIBSHFIV¿.VKF&.FIH.p¯WYH²h> BapXYFI[\FPDKDGFnH.V5]"FFIB@QK¬FIVEFIB$JMLBSH²]"FIV _7¬.¬.B@R$]".HX tZYFIh.H]hFIHM> H_7¬.¬BSR$]h.H.X=Z¡, N7.H]*¬.V5]"F[\B@Q9]"FIH®dHhQKFnVKXYV5NQEWYVKFnH?¬.pIk>=lXYFn[\F&DKDFIHBSH J ]"B@F£7BªFnVKFIH.p ]"FIVaBSHhQKFIXZVKB@FIVKQEFIH~.[\BSHWDGB@Q&N&QMDKDBSXZHNR@Ft]"FIVqdHhQKFnVKXYV5NQEWYVKFnH ? =">¾N&HFIVEFIH.HhQ]"[email protected]" NH.h.H.XZFIH.[^]"FIH¼B@QKQKFnRSuFnVKQN&"Of]"FI[ ?n B b/aBS¯F&N&¾> H<]"FIH _7¬.¬.B@R$]".HXYFIH<=Z¡.H]<=Y»DBSH]²XYFI[\[email protected]¢]"F&D~.[\BSHWDGB@Q&N&QMDdbDGB@XYHN&R$D¯WZH FIBSHFI[ Wh]".RU[\BSQNR@.[\[email protected].[¬F&]N[tg"OQKFIH²hR$N&VGOWZRSBSFnHXYFIpIFnBSXYQn>£7B@F&DGFFIR@RSFIHLN&¬FnH ].NZD7¬F&DGQEFt F8FIhQKBSWZHDG¯FnVKLN&RSQKFnHH]F&D7WZH.H"QEFIH]N[\B@QN&JL¹]"BSF¬FbDGQEFIH c[\gFH]hRSB$JML.FIBQEFIHFIVKVEFIB$JMLhQlUFIVM]hFIH¾>c9D.V5]"FIH FAFIhQKWZVKpIFIR@RSFIH¢N4D\? ]"FI[.Hh¬FILNH4]"FIRSQEFIHc9]"FnR$DGQ5NL.R=7[\B@Q7aWYR]¬F&].N&[\g"OQKFnH aRNYDKDEJLFIBS¬FIH.H]7N&RS.[2BSH.Bb.[t¬F&].N[2g"OQKFIH2hR$NVOWYR@BSFIHtXYFIQEF&DGQEFIQI>£7B@Ft«(F&DQK[\FPDKDGH.XYFIHFnVKXN&¬FIH].N¼FIBSHFt FA4FI"QEWYVEpIFIRSR@FNDaWYR] ]"BSFtFAFn"QEBSWYH²N&H]"FIH A NH]hFIH°XZFIXYFIH .¬FIV]"FIV2FAFIhQKWZVKpIFIR@RSF2NDQMN&L.R7[ FnBSH.FIH ¿NhQKWZV\=h> ¡ ¯FnVGb¬F&DKDFIVKQn>ª£aBSFFAFn"QEWYVKpnFIRSR@FkNDqNRS[\BSH.B@.[t¬FP].N[tg"OQKFnH\hR$N&VGOWYR@BSFIH¯FIVE¬F&DKDFIVKQq]"BSF~B$JMLhQMN4DG¬FI.QEFlXZFIXYFnH.¬FIVk]"FnVa FA4FI"QEWYVEpIFIRSR@FkN4D aWYR]H.WhJML.[N&R$Du.[^[email protected]¼¿NhQKWZV=">¿a.Vq]"FIH¹cBSHDENQKpB@[^ce"gFIVEBS[\FnH"QUB$DGQqDGWZ[\BSQFnBSH.FFAFIhQKWZVKpIFIR@RSF[2BSQ_aRS.[\[email protected][b¬F&].N&[\g"O.H.XHWYQuFIH4]"BSX>

¡Y

Page 55: diplom - uni-mainz.de · "!$#&% ' ( *),+ -/./+ /00 1( 32547698;:= + '0 ?# [ _7` bdc e"gfivebs[\fihhqadgwzrsr@fih ]"b@f 4 ufib@qkvp n xyf]"fivqdgqevmn h xyf 7 4n vk d7pi ¹]"fih²¿.wyve[0o

N ¬

J

_7¬.¬BSR$]h.H.X=Z¡M Z HiydPHZ SiP WZ PHZ$i PHS /aT S g iUhi g$g kSU$ P ea P$ijZU PHS g S&d d P SiP WZ PHZ^iPHS "aT S g i/UhiIg$g WSU$ P dPHZ HSi P WZ'Uhi WZ$PHS *aSd * P PHS5d P P i UWSPHZ!3WPHSSi>dP^a i l^\cd P P^Z g l^\ P'dP^S PHS Z Hi gdP^Z SiP WZ PHZ$i PHS WSU$ P S g "FPg WS&dPHZ^PdWZ Hi P$i dWU g WSU$=UWS HSi P WZ'Uhi WZ * gHi UWZ!3 " Pg PHZ WZdPHZ$iP S P WS S P$X0 l^\&aSdPHZ/\ hi WTVa i [- PHZ

¡`

Page 56: diplom - uni-mainz.de · "!$#&% ' ( *),+ -/./+ /00 1( 32547698;:= + '0 ?# [ _7` bdc e"gfivebs[\fihhqadgwzrsr@fih ]"b@f 4 ufib@qkvp n xyf]"fivqdgqevmn h xyf 7 4n vk d7pi ¹]"fih²¿.wyve[0o

N ¬

J

_7¬.¬BSR$]h.H.Xa=Y»M "FP^Z [ Z a aS dPg/gHi Uhi gHi g l^\]PHS>N P'\ PHZgLT i]e4 aT S aT>X UWZ P$i "FP P XS PHZ ^Si P kZUhi WS g$_9P i 'WS /TgyaSd * % e ]ijZU \ gHi Z WT 7T P^Z^P'l^\&S P i?UWa * ( % e]ijZU \ gHijZ!WT 7 Z'd g WT iLP S P0T ['2 S&d l^\3WP i=dPHZ . PHZ$i P aS 'WS jU ^SiP WZUhi WZ z "im I?n aS&d " HSiP WZ'Uhi WZ * z ³ri = I?n PHZHZ^P l$\i N aZ P XS P HSiP WZ'Uhi WS g$_9P i4'WS Tg 7 aZ'dP(g l^\ P S P 0T ['2 S&d l^\3WP iydPHZ .]PHZ^iP aS 'WSjU z ! ?Yi » I.?I B "$_ 7 " z j?Zi ` I.?n B PHZ P8"FPHS HS jl gHid P . P^Z^XiP aS3dPHZ yP^Z^PHS _ dPHZ Si P WZ PHZ$i P^S "aT S g iUhiIg$g WSU$ P 'WScdPHS HSiP WZ'Uhi WZ$PHSdWUWZ PgHi P i U \]PHZ^P0Z!3 UWZHaS _ aZ (P^Z^P'l^\&SaS dPHZ0T ['2 Sd l$\3WP iLg P\]P P 9i

¡Y¡

Page 57: diplom - uni-mainz.de · "!$#&% ' ( *),+ -/./+ /00 1( 32547698;:= + '0 ?# [ _7` bdc e"gfivebs[\fihhqadgwzrsr@fih ]"b@f 4 ufib@qkvp n xyf]"fivqdgqevmn h xyf 7 4n vk d7pi ¹]"fih²¿.wyve[0o

H]"FIH_a¬.¬.BSR]".H.XZFIHk=Z» N7ª.H4] ¬¶DGBSH4]]"B@FXYFI[2F&DKDFIH.FIHB@H"QEFIXYVEBSFIVEQKFIH~.[\BSHWDGB@Q&N&QMDdbDGB@XYHN&RSF]"FIV H"QEFIXYV5NQKWZVKFIH²? =L.BDGQKWZXYV5N[\[\B@FIVKQ9UWYVM]hFIH J pnFIBSXZQuFIB@HB7B$DQKWZXYVMN&[\[]"FIV2£7BªFnVKFIH.p¼]"FnV\~.[\BSHWDGB@Q N&QMDKDBSXZHNR@F]hFIV0¬FIB]"FIH H"QEFIXYV5NQEWYVKFnH¾>u£aBSF¼F&DKD.H.XZFIH.V5]"Fk¬FnB¾FIBSH.Fn[ QEVMN&L.R$DQKVKWZ[^¯WYH¼ 7`> Z= % _]".V5JLXYFO .LVKQI>cBSH.F _7H.gNZDKDGH.XFIBSHFIVN&.Yh.VE¯FkNH]hBSF [email protected] ]"FIVFnYuFnVKQKFa¯WYH®dHhQKFnXYVMN&QKWZV?FIVKXZBS¬.QqFIBSH.F[2BSQKQERSFIVEFBSHhQKFnXYVKB@FIVKQEF0~.[2BSH.WDGBSQ NQ¯WZH ! ?Y?I&`okNH NRSFnH.H]FIBSH.F uVKFnBSQKFt]hFIV FnVKQKFnBSRSH.X\¯WYH ! =Y=">`¼olN&HNR@FIH¾[email protected][\g FH]"R@B$JML.FIBSQ¯WZH z - ?Yi Z ` I?n B ¬FIBFIBSHFI[QKV5NL.RDGQKVEWY[±¯WYHt`.>mY= % _ FIHhQMDGgVKB$JMLhQI> 57[\XYFnVKF&JML.H.FIQNhO=Y % _ QKVMN&L.R$DQKVEWY[±FIVKXZBS¬.Q ]"BSF&D9FIBSHFc[\gF4H]"RSBJLFB@Q ¯WZH z - C hi ZYIn?I >£7B@Fc[\g FH]"R@B$JML.FIBQ9BSVM]].N&¬FIB¾H.B$JMLhQu¯WYH¹]"[email protected]$DEJLFIHzJLN&RSQE.H.Xt]"F&Da H"QEFbXYV5NQEWYVMD¬FIXZVKFIHpIQ6DGWZH]"FIVEH<LN.gQMDINZJLRSB$JML¢]".VMJML¢]"BSFg.B@FIXYFIR@pIFIR@RSF7]"BSF~B$JMLhQMDKN&[\[0bRSH.X°B@[ TfLWYQKWZ[[email protected]@FIV\.H4]´]"FIHcB@XYFIHDEJL4NPOQKFnH]"FIV¹TfLWYQKWZ[[email protected]@FIVt.H]´]"FnVgN&H.Hh.H.XDQKFIB@RSFIVn>¿a.V]"B@[email protected]\¯WYH¢ H"QEFIXYV5NQKWZV=FIVKXZBS¬.QDGBJLFnBSH²[\BSQEQKRSFnVKF0~[\BSH.WDGB@Q&NQq¯WYH ±?I=r&ZokN&[email protected]]FIBSH.F uVEFIBSQEFk]"FIV)[email protected]¯WYH =Y=h>S?IokNH(NRSFnH]"BSFPDFIHhQMDg.VKBJLhQ¾FIBSHFIVc[\gFH]hRSB$JML.FIBQ¯WYH z - ?Yir&Z= I ?I B ¬FIBh`.>mY= % _ QKV5NL.RDGQEVKWY[.H]FIBSHFIVc[\gF4H]"RSBJLFIBQ¯WYH z - hi ¡Yh?IZ?I ¬FIB=Y % _ QKVMN&L.R$DQKVEWY[> H]"B@F uVEFIBSQEF]"FnVcBSH.pnFIRS¯[email protected] ]"FIVuXZFI[\F&DEDGFIHFIH0B@H"QEFIXYVEBSFIVEQKFIH\~[\BSH.WDGB@Q&NQUXYFbL.FIH NR@RSFIV5]"BSHXDNJMLuF&DFIH"QERSBJL~.[\BSHWDGB@Q&N&QMDKDEJLhN&H.h.H.XYFnH´]"VMJML´QKV5NL.RDGQKVEWY[0bDKJMLhNH".HXYFIH ¡Z B7p&¾H] qBS¬[email protected]\]"FPD« N&VKXZFIQMD9FIBSH¾>_7.YFnVM]"FI[ ¾WZH.H.FIHt]h.VMJMLcBSHDQKVEFI..H.XZFIHt¯WYHQPWYV5DGBSXZHNR@FIH vp> >¡Z B7paWh]"FIV3qBSFIRO NYJML.F].NI¯WZH]"BSFqcBSH.pIFnRS¯FIVbQKFnBSRSH.XYFIH2¯FIVK¬.VEFIBSQEFIVKQUuFIV5]"FIH¾>57[ ]"BSF # N&L.VKF %c[\g FH]"R@B$JML.FIBSQ]"FIVXZFI[\F&DEDGFIHFIH0B@H"QEFIXYVEBSFIVEQKFIH~.[\[email protected]\FIVGbLN&RSQKFnHI¬FIQKV5NYJML"QEFIQ¾[NH]"B@F FnVKQKFnBSRSH.Xa]"FIV£7BFIVKFIHpu]hFIV B@H"QEFIXYVEBSFIVEQKFIH~.[\BSHWDGB@Q&N&QMDdbDGB@XYHN&RSFkBSH®dHhQKFnXYVMN&QKWZVk? =, _7¬.¬.B@R$]"H.X=Z»M> H¼]"FIV £7B FIVEFIH.p7O N&RSR@FIHNR@RSFkDQ&WZVKFIH]hFIHcBSHfDKDF7&]"FIV]"B@F9¬FnB$]"[email protected]@H HhQKFIXZVMN&QKWYV9? °=.HhQKFIVEuWZVGOFIHDGB@H]L.FIV5ND >£7B@Fc[\g FH]"R@B$JML.FIBQFIVEXYBS¬QaDGB$JML¼NDHM7 uV@ ( # * % C ( > => ? I ?3 = »h?

B7B@FIVK¬FIB.VM]"F BSF&]"FnVK.[ [email protected]_7H.g4NYDKD.H.XtFIBSHFIVqN.Z¯[email protected]¹]"[email protected] ]"FIVa£7BªFnVKFIH.pqXYFIUWYH.H.FnH¾> ( > =/> ? BDGQa]"B@Fl[2BSQKQERSFIVEF~.[\[email protected] N&QI><¬F&NYJML"QEFIH BDGQ6].N¢]"B@F\FFIhQKBS¯F2 H"QEFIXYV5NQEBSWYH4DGpIFIB@Q # UFIXYFnH°]hFIVtokN¬FIRSZN&gNpIB@Q&N&Q[\FILVNRD">m [Du¬FIQEV&NXZQI> [email protected]&DEDG.H.X2.VM]"F ]"FIVq«(VEBSXZXYFIVq]"F&Da H"QEFIXYV5NQKWZVMDBSH"bH.FIVELNR@¬<]"F&D¡Y [®DNhVKWZg..RDGF&Dk¯FIVMDEJL.WZ¬FIH¾> H<_7¬.¬.B@R$]"H.X¼=zr N7BDGQ]NYD0B@XYHN&R]"F&D HhQKFIXZVMN&QKWYV5D\?\XYFIXZFIH ]"BSF9FIVEphWYXZFIVK.HXNhOXYFIQEVMNXZFIH9BSH<_a¬.¬.BSR]".H.X²=rv¬]NYDB@XYHN&R¾]"F&D HhQKFIXZVMN&QKWYV5Du=XZFIXYFIH¼]"B@F 9FIVEphWYXZFIVKH.X.>NH\FIVEFIH.HhQ6BSFq].NZD7BSXZHNR¾[\B@QXYVPWYZFIVKFIV)9FIVKpzWYXYFnVK.H.Xpn.H.BS[2[QI>_7H ]"B@FXZFI[\F&DEDGFIHFIH £NQEFIH°¯WZH°]hFIHC HhQKFIXZVMNQEWYVEFIH? =.VM]hFXYR@[email protected][\FIBSH4DKN[2Fa_7NZ]"FIh.VK¯FFnBSH.F&DoWZH]"FIHDENQEWYVMDq]"FIVa¿.WYVE[

> ?Lp Fne"g p K# »Z=

¡Y»

Page 58: diplom - uni-mainz.de · "!$#&% ' ( *),+ -/./+ /00 1( 32547698;:= + '0 ?# [ _7` bdc e"gfivebs[\fihhqadgwzrsr@fih ]"b@f 4 ufib@qkvp n xyf]"fivqdgqevmn h xyf 7 4n vk d7pi ¹]"fih²¿.wyve[0o

N ¬

_7¬.¬BSR$]h.H.Xk=rWMY(PHT Pg$g9P^S P P i 3 WS gHi UWSi P dPg HSiP WZ'Uhi WZg4 P^ZFaZ g UWl$\i7dWaZl^\ d P UhX[&U _ i/Uhi dPg ("T UWSP^S Y * U"FP g'WT eX P "ZUWaT _ aT .]PHZ g al^\Wg UWa "$UWa S dPHZ`eX yU$ P aSdcdPHZ UF[&U _ iUhi PHSg 7 P dPHZgHiUWSdP,dP^Z W[&UWSSaS gHiP PHZ ea P$ijZU PHS gHi d P T ifi PHZ$P SiP WZ P^Z^iP /aT S g iUhi P PHS d P .]PHZ _ PHZFaScdPgHSi P WZ'Uhi WZ$X&Z PHZg 0 g77aZdP(P S]P ea =UWdP 3EaZ8 P(P S Pg WSdPHS g Uhi WZgUWS;d P P 7XdWUhiPHS,UWSP [&U i Ig P\]P ]P! 9i P>PHZHT ifiP iP P i3 WS gHijUWSiP"FP i Z U hi /Tg NHXYFIgN&YQn> BDGQ9FIBSHF O .VU]"B@FadHhQKFnXYVMN&QKWZVKFIH¼? ´=¯FIVMDEJL.B@F&]"FIHF_7[\gRSBSQE]"F>n£7BSFFIB@QGbWYH4DGQMN&H"QEFIH # .H]]hFIV FIBSQEH"RSRSg.H.hQ K NVKFnHO .Va]"B@Fk H"QEFIXYV5NQEWYVKFnH ? =XYFn[\FIBSHhbDKN&[\FIVuOVEFIBSFIVaTNVMN&[\FIQEFIVI>cfB@H\O .V]hBSF H"QEFIXYV5NQKWZVKFIH¢? =t¯FIVMDEJL.B@F&]"FIHFIV9WYHDQMNHhQKFnV­¶DGFIQ ´.V5]"FN&Da]"FIH¼£NQEFIH¬FIB K ¬F&DGQEBS[\[Qn>£7B@F_aH.gNYDEDG.HX0FIVEXN&¬M

p ?# pa"im=Y»Z ?' # "im7u' K pa"im "?n ' »Z

c9D FnVKXYB@¬.QaDGBJL®NR$DW0FnBSH.FF ªFn"QEBS¯Fk HhQKFIXZVMNQEBSWZHDGpIFnBSQu¯WZH # h> [D > [ ce"gFIVEBS[\FnH"QkBSV5]<]"BSF¼£N&QKFIHN&"OHN&L.[\[email protected]¹N[ £7FnQKFIhQKWZV0g.RNpIB@FIVKQ9DGWh]N]"BSFUokN¬FIR@ZNgN&pIBSQ NQKFnH¯FIVEHNYJML.R N&YB@XY¬N&V ¬.R@FIBS¬FIHk.H4][email protected]&QKB@WYHDpIFIBSQ¾¯WZH?ª[DuVEF&NR@B$DBSFIVEQ UFIVM]hFIHYN&H.H¾>

¡zr

Page 59: diplom - uni-mainz.de · "!$#&% ' ( *),+ -/./+ /00 1( 32547698;:= + '0 ?# [ _7` bdc e"gfivebs[\fihhqadgwzrsr@fih ]"b@f 4 ufib@qkvp n xyf]"fivqdgqevmn h xyf 7 4n vk d7pi ¹]"fih²¿.wyve[0o

£7B@FuDWY[\B@Q¾FIVKVEFIB$JMLhQKFIHkc[\g FH]"R@B$JML.FIBQKFIHO.V]"BSFU HhQKFIXZVMNQEWYVEFIH\? C= B@H_7¬LNH.XZBSXZFIBSQ]"F&D7QKVMN&L.R$DQKVEWY[DUDGBSH4]®[email protected]]"FIVa«N¬FIRSR@FkNhOXYFO .LVKQBM

% _ "> [D ?Y>m [D H"QEFIXYV5NQEWYV? `.>mY= % _ ?Yim»Y r I?n B hi YZ@I?n B H"QEFIXYV5NQEWYV? =Z % _ "imYh?I?n ?Zi »Y=&`8I?n B H"QEFIXYV5NQEWYVq= `.>mY= % _ ?Yi`»r I?n B =hi "?n@I?n B H"QEFIXYV5NQEWYVq= =Z % _ rim=YZ=@I?n ?Zi `&`8I?n B

uFIB¾[email protected] HhQKFIXZVMNQEBSWZHDGpIFnBSQu¯WZH ?ª[®Du.H]=Y % _ QKVMN&L.R$DQKVEWY[ºVM]"FFIBSH.Fc[\gF4H]zbRSBJLFIBSQ¯WZH z ! ?Yim»8I"?n B O.V H"QEFIXYV5NQEWYVt?.H] z ^?Yi` I"?n B OV H"bQKFnXYVMN&QKWZVk=0FIVEVKFIBJLhQI>h£7B@FFIVEVKFIBJLhQKFkc[\g FH]"R@B$JML.FIBQ9BS[ce"gFIVEBS[\FIHhQuR@BSFIXZQaDGWZ[\BSQ.[[email protected]]".H.X .¬FIV]hFIVBSH¹]"FIHqc _« bKBS[t.R$N&QKBSWZH.FIH\¯WZVKL.FnVKXYFPDKNXZQKFIH¹c[\g"bFH]hRSB$JML.FIB@Q9¯WYH z ?Zi = I?I .H]FIBSH.FaV&WZYFIHWYVM]hH".HX .¬FIVq]"FIVBSH¹okNg.B@QKFIR">mXZFOWYV5]"FIVEQKFIHaFIHN&.BSXZFIBSQn>

aVZ.H4]"F0LBSFIVO .Vk¾WZH.H"QEFIH²[email protected] ¯FnVKFIB@H"O NYJML.FIH]hFIH¼_7H.HN&L.[\FIHB@H ]"FnVqc9_ « bB@[0.RNQEBSWYHtpI¼DG4JL.FnHDGFIB@H¾>.£aBSF£7FIQEFI"QEBSWZH]"FIV C9FIVEFIH.W&¯bTL.WZQKWYHFIHFIVGOWZRSXYQEFkBSH]"FnVB@[0.RNQEBSWYHk[\B@Q¾FIBSHFI[ DGFIHDBSQEBS¯FIH cfR@FI[\FIHhQ6 uFIRJLF&DªpIN&V9]"B@FVKF&N&RSF aN&H"QEFIH.F [email protected]]"FIVq¯FIVKUFIH]"FIQEFIH¼TL.WYQEWY[t.RSQEBSg.R@BSFIVLN&QKQEF7¾N¬FIVqFIBSH.F F8FIhQKBSWZH]"FnVkTL.WYQEWYH.FIH¢N[cBSHhQKVEBSQKQ5DdOFIH4DGQKFnVk]"F&DTfLWYQKWZ[[email protected]@FIVMDaN&VKp7 uVEF&JLh.H.XDGp&N&L.RLt^?Y>m¡q¬FnVZJM.DB$JML"bQKB@XYQEF>d[ cehgFIVKB@[\FIHhQBSV5] ]"BSFPDl]hFIV¿NR@RUDGFIB@H .H] [®NH²YN&H.H<¯WYH²FIBSHFI[ 9FIVKR@DGQ¯WYH¼TL.WZQKWYHFIHB@[E uFIVKFnB$JML0¯WZH t ?I N&DGXZFIL.FIH¾>_7.ZFIVM]hFI[ LN&H.XYQ¼]"B@F BS[t.RNQKB@WYH ¯WYH C9FIVEFIH.W&¯zbE~B$JMLhQ0B@H´c9_ q« bKB@[0R$NQEBSWZH.FIHDGFnL.V¼DGQMN&VKC¯WZH´]"FnH [email protected]¬FIH.FnHCWYg.QEB$DKJML.FIHcB@XYFIHDEJL4NPOQKFnH´]"FnVN&QKFIVEB$N&RSBSFnHCN¬¶>£[email protected]@B$JML.FIH WZg.QKBDKJML.FIH<TN&VMN&[\FIQKFnVBSH ]"FnVtF&DKD.H.X²¾WZH.H.FIH<.[ÃFnBSH.B@XYFTVKW&bpIFIHhQ¯WYH]hFIH.FIH BSHC]hFIVqc9_ « bEB@[0.RNQEBSWYH N¬huFIBJL.FnH p>2 >9]"B@FFAFIhQKB@WYHCN&H]"FIHg.B@FIXYFIR@NH]hFIH°Wh]"FnV\]"B@F_7¬4DGWYVEg.QKB@WYHDRN&H.XYF¯WZH°A¢NYDKDFIVI>U_7.ZFIVM]hFI[ÃZNH.HCFPDpI*9FIV5DKJML.[0QKpI.HXYFIH¼]"F&DaA NZDKDGFnVlWZ[\[\FIH@.]"B@FBSH²]"FIVBS[t.R$N&QKB@WYHFn¬FnH"O NR@[email protected] uFIV [email protected] F4H]"FIH¾>A²[email protected] R@[email protected] H"OWZVK[N&QKBSWZH .¬FIVt].NZD 9FIVELNR@QKFIH¯WYH* cb A¢NYDKDFIVk.HhQKFIVQKVMN&L.RS¬F&]hBSH.XZFIH ¯WZV6uFIRJLF&D7]h.VMJMLBSWZH.B$DBSFIVEFIH]"[email protected]@¯BSVM]>

57[ ]"B@F~BSH.F&N&VKB@Q&NQf]"F&D ~.[2BSH.WDGBSQPNQ5DG[\WZH.BSQEWYVMDªpn².¬FIVKg.VZ"OFIHZ.VM]"Fa]hBSF_a¬.LNHXYBSX&bFIB@Qk]"FIVkBSHhQKFnXYVKB@FIVKQEFIH ~[\BSH.WDGB@Q&NQk¯WZ[ÃQKV5NL.RDGQKVEWY[ ¯FIVE[\F&DEDGFIH¾> H¢_7¬.¬.B@R$]"H.X¼=Y N7" v¬ ¾B$DQu]NYD[\BSQEQKR@FIVKF9BSHhQKFnXYVKB@FIVKQEF7~.[2BSH.WDGBSQPNQ5DKDGB@XYHN&R.¯WYH2 H"QEFIXYV5NQEWYVa? ´=XYFIXZFIH]"FIH²QKV5NL.RDGQEVKWY[N&"OXYFIQEVMN&XYFIH¾>¶_7¬.¬.B@R$]".HX\=Z J ] UpIFIBSXZFIH]hBSFkVKFIRNQEBS¯Fk_7¬huFnB bJML".HX;vB@H ]"FIV£qNQKFnH ¯WZH]"FIV_7HgNYDEDG.H.X<[email protected]]"FIHNH ]"B@F²FIYUFIVKQEF> uFIB¶]"FIVa_7H.g4NYDKD.H.X\VM]"F21KFIUFIBSRDu]"FIV)5aH"QEFIVKXZVK.H]]"[email protected]@H.FIH2 H"QEFIXYV5NQKWZVKFIH¼N&¬"bXYFnpIWYXZFIH H] ]"FIVqzbd_JMLDGFIH4N¬DEJL.HBSQKQ N"OG7.RSRFe"B@FIVKQ9ª.[ ]"BSF2¿[email protected]]"F]"FnV_7H.g4NYDKD.H.XFIBSH.pnDKJML.V&N&H.FIH¾>Z¿a.V H"QEFIXYV5NQKWZVa? FnVKXYB@¬.QUDGBJL2ND9]"FnV aFIV5NY]"FnHDGQEFIBSXZ.H.X¯WYH "> ¡Z=`9okN&HNR@F % _ H] O.V dHhQKFnXYVMN&QKWZV=FnBSH.FQKFnBSXYH.X¯WZH<">`=YolN&HNR@F % _> H.H.FIVELNR@¬<]"FIV DGQ5NQKBDGQEB$DKJML.FIH ¿4FnL.RSFIV]"FnVcBSH.pnFIRS[\FPDKDGH.X.H] ]"FnH°¿.FILRSFIVEH ]"FnV_7H"bgNZDKDGH.X]"FIVaFIV5NY]"FnHDQKB@[\[\FIH¬FIB]"[email protected] .¬FIVEFIBSH¾>

¡Y

Page 60: diplom - uni-mainz.de · "!$#&% ' ( *),+ -/./+ /00 1( 32547698;:= + '0 ?# [ _7` bdc e"gfivebs[\fihhqadgwzrsr@fih ]"b@f 4 ufib@qkvp n xyf]"fivqdgqevmn h xyf 7 4n vk d7pi ¹]"fih²¿.wyve[0o

£7B@F0VEFIR$N&QKBS¯F _7¬huFIBJLh.H.X2]"FIV_7H.g4NYDKD.H.X¼FIBSH.FnVaFIVMNZ]"FIH¢NH<]"B@FtFIYUFIVKQEFB$DQ [email protected]"QEF\"R@FIBSHFIVNR$D ]"F&DDGQMN&QKBDGQKBDKJML.FIH<¿.FILRSFIV5D]"FIV cBSH.pIFnRS[\F&DEDG.HXH]]"F&D¿.FILRSFIV5D]"FIVa_7H.g4NYDKD.H.XtFIBSHFIV7aFIV5NY]"FIH¼.H]\¬FIQKV NXZQ7[N&e"B@[NR4£N&[\BSQVM]"FtXYFIpnFIBSXZQ6].N¹].NYD_7H"QUWYVKQE¯FIVKL4NRSQEFIH¼]"F&DBSH¢]"B@F&DGFIV _7VK¬FIB@QkN"OXZFI¬N&"bQKFnHTfVEWYQEWYQ"g4D]hF&D~.[\[email protected] NQMD[\WYHBSQKWZVMD .¬FIV\[email protected] ]""H4N[\BDKJML.FIH uFIVKFnB$JML ¯WZHK?EM ¡ZYY7H_RSBSHF&NVBDGQ

N ¬

J ]

_7¬.¬BSR$]h.H.X²=YM "FP^Z [ Z a aS3dPHZ SiP WZ PHZ$i PHS "aT S g i/UhiIg$g WSU$ P UWa S P'UWZ i/UhiT i # X&UWZ P$i ea P i Z'U PHS gHi d PcT i i PHZ^P Si P WZ PHZ$i P "aT S g i/Uhi dPg HSiP$XWZ'Uhi WZg jU caSdcdPg HSiP WZ'Uhi WZg * " P PHSndPHS i Z'U \ gHi Z WT S S e VPHZ,R9Xe=l$\Wg9PHSU"^g l^\&S ifi 77aZdP=UWa a'2 P^Z^i HS jl aS&d jd gHi d PZ^P Uhi PLe "'7 P l^\&aS dPHZ;Y(PHZ'UWdPHSUWS [&U g$g aS WS dPHS P r[ aS/39iPHS3UWa P$ijZU PHS d P>g PHSUWSSi PHS)Pg XdWaPHS 57[[email protected] HhQKFIXZVMNQEBSWZHDGpIFnBSQa¯WYH²FIQN?ª[D7pIWZ[\[\FIH@".V5]"FtNH¢]"FIH² HhQKFIXZVMNPbQKWZVKFIH²? =FIB@H u"gNZDKDB$]"FIV5DGQ5NH]\¯WYH²?nY NH.XZFI¬.VMNZJLhQ.H]\[email protected]&DEDG.HX0[\B@Q]"B@F&DGFIH¼_7hO¬N¼XYFI[NZJLhQI>NH¼FIVKLN&RSQa[\BSQ u"g4NYDKDB$]"FnVMDGQ5NH]FnBSH.Fc[\gFH4]"RSBJL.F BSQ

¡Y

Page 61: diplom - uni-mainz.de · "!$#&% ' ( *),+ -/./+ /00 1( 32547698;:= + '0 ?# [ _7` bdc e"gfivebs[\fihhqadgwzrsr@fih ]"b@f 4 ufib@qkvp n xyf]"fivqdgqevmn h xyf 7 4n vk d7pi ¹]"fih²¿.wyve[0o

¯WYH z ?YimY8I?n B O.Vk HhQKFIXZVMN&QKWYV?.H4] z ?Yi ¡r I?n B O .VqdHhQKFnXYVMN&QKWZV=">£aBSFkWY¬.B@XYFF&DEDG.H.Xt¬FIB¾[email protected] HhQKFIXZVMN&QKBSWZHDGpnFIBSQU¯WYH¼">m [DuBSV5]\¬FPDGQ N&QKB@XYQI>

<¬FIWY¬NZJLhQKFnH BDGQB@H°]hFIHC_7¬¬.BSR]".H.XZFIH<=Y¡[email protected]¼£7VKBOQt]"FIVt H"QEFIXYV5NQEWYVMDBSXZHNR@F79]"BSF¯WYH¼]"FnH [email protected] .LVKFIH¾> H]hFIH¼F&DKD.H.XYFnHQEVMN&Qa]"BSF&DFIVac FI"QB@HDG¬FbDGWZH]"FIVEFHNZJL _7H4]"FIVKH.XYFIH¹]"FIV)B7WhJMLDgNH.Hh.H.X®NH]hFIH g4NH.Hh.H.XDGQKFnBSRSFnVKH¼N"OE>[email protected]¯WYHFnQG N?n¡BSHh.QEFIH²DGQ5N¬.B@RSB$DBSFIVEQKF DGB$JML]NYDTL.WZQKWY[t.R@QKBSgRSBSFnVMDGB@XYHN&RBSFP]"FIVI>£7BSF&DpIFnBSXYQ9].N&BSH2]"FIVfDGgN&QKFIVEFIH£N&QKFIH.H4NL.[\Fa]hF&D9cfehgFIVKB@[\FIHhQMD¾[email protected]$JML.[\FIQEL.Wh]"FO.Vt]hBSFTL.WZQKWY[t.R@QKBSgRSBSFnV7FIHhQB$JMFIRSQauFnVM]"FIH¢[0.>£7FIH.h¬NVB$DQ6]N[N&HFIBSH.F\~c9£j]hBSVKFn"QB@H ]NYDlA¢NYDEDGFIVE¯WYR@.[\FIH¼FIBSHh¬[email protected]ª.[ DWY[\B@QFIBSHFt<WYXYR@B$JML"bFIB@QupILN&¬FnH]"BSFTL.WZQKWY[t.R@QKBSgRSBSFnV pnFnB$JML.FIH¾>£7.V5JL 57¬FIVEL.BSQEpI.H.X¼]"FIVg4NH.Hh.H.XDGQKFnBSRSFnVFIHhQMDGQEFILhQFI¬FIH"O N&RSR$DFIB@H DQMN&VKFIVk£aVKB OQ]"FnVB@XYHN&RSF7UDGW&BSFhJMLhNH".HXYFIH ]"FIVt[\BSQEQKRSFnVKFIH B@H"QEFIXYVEBSFIVEQKFIH ~.[\BSHWDGB@Q&N&Q0.[ [email protected]@uFIVEQI>£qNYDuFIVOWYVM]hFIVKQUBSH]"FnVDGg(NQKFnVKFIH¼£N&QKFIH.H4NL.[\FaFIB@HDGQPNH]"B@XYF&Do2.LR$DGDGQEFI[]"FIVgNH.Hh.H.XDGQEFIBSR@FIV6h.[^DGWZR$JML.Fc ªFn"QEFlpn¯FnVK[\FIB]"FIH¾>

DEN[\[\FnH"O NYDEDGFIH]tRNZQkDGBJL¼DENXYFnH¾].N&\[\BSQ ]"FI[^¯WYVERSB@FIXYFIH4]"FIH_7hO¬[email protected][\g"bFH]hRSB$JML.FIB@Q ¯WZH z ? I?n B ¬FnBª=Z % _QKV5NL.RDGQKVEWY[.H4]?ª[D HhQKFIXZVMN&QKBSWZHDGpnFIBSQNH¼FIBSHFI[j_aRS.[\[email protected][b«NVEXYFIQUFIVKVEFIB$JML"Q9.V5]"F>

»Y

Page 62: diplom - uni-mainz.de · "!$#&% ' ( *),+ -/./+ /00 1( 32547698;:= + '0 ?# [ _7` bdc e"gfivebs[\fihhqadgwzrsr@fih ]"b@f 4 ufib@qkvp n xyf]"fivqdgqevmn h xyf 7 4n vk d7pi ¹]"fih²¿.wyve[0o

f ((./ 0 # 1(0 /+W#&- 6 V /+./r#57[ FIBSHFIH-9FIVKXZRSFIBJLpn°]hFIH<F&DEDG.H.XZFIH<[\[email protected][ _7R@.[\[email protected].[bd« N&VKXYFnQlpn FIVKL4NR bQKFnHª.V5]"F\pI.H(NYJMLDGQ].NZD?n A «(F&DQGb A NZDKDFIVMDQKWQ5NVKXZFIQFI¬FIH"O N&RSRDlN&"[email protected]&NPbVKB@Q&N&QlLBSH .HhQKFnVMDG4JLhQ.H]¢]"FIVQKV5NL.RDGQEVKWY[ ¯ZNVEBSBSFnVKQI>@ uFIBU]"FIH¢F&DKD.H.XYFnH [\BSQ ]"FI[_7R@.[\BSHBS.[b«NVEXYFIQ¾VM]"Fa]"FnVuQKV5NL.RDGQEVKWY[B@[ uFIVKFIBJLkpIBDKJML.FIHt H4_°.H]`Y=Z H_¯ZNVEBSBSFnVKQ9.H]]"FIVa~.[\[email protected]&N&QMD[\WYH.B@QKWZV pnFIBSXZQKFq].N¬[email protected] FZNHhQKFk_a¬"UFIB$JML"H.X¯WY[±[email protected]&N&VKFIH,9FIVER$N&"OE> uFIB]"FIH¼F&DKD.H.XZFIH\[\B@Qu]hFI[j«¾F&DQGb A NZDKDGFnVMDGQEWQMN&VKXZFIQ.V5]"F]"FIVkQEVMNLR$DGQEVKWZ[ B@[email protected][E uFnVKFIBJL\¯WZH¼ H_ ¬.BDl?n¡YYH_ ¯ZNVKB@BSFIVEQ6N&¬FIQNt¡YZ H_pIFIB@XYQEF].NZD?I A «(FPDGQGb A¢NYDKDFIVMDQKW&ªQ5NVEXYFIQ¬[email protected]¬.RSBJL.F_7¬huFnB$JML".HXYFIH\¯WZ[ºR@B bH.F&N&VKFIH*9FIVELNR@QKFIH¶>£NYDcVEXYFI¬.HB$D]"B@F&DGFnVF&DEDG.HX\B$DQBSH¹_7¬.¬.B@R$]".HX\=Z ]NVKXZF&DGQEFIRSR@QI>ACBSFP]"FIVK[ .VM]"F¼]"FnVBSQEQKFIR@uFIVEQ]"FIVB@H"QEFIXYVEBSFIVEQKFIH<~.[\[email protected]]hFIV HhQKFIXZVMNQEWYVEFIH? =\XZFIXYFIH¢]"FIH<QEVMNLR$DGQEVKWZ[ N"OXZFIQKV5NXYFnH¾>NHFIVEFIH.HhQ]"Fn.QKR@B$JMLª]N¼].NYD«(FPDGQGbA¢NYDKDFIVMDQKW&ªQ5NVEXYFIQ¯WZ[º[email protected]&N&VKFIH*9FIVER$NhON&¬"UFIB$JMLhQI>£7BSF&DZNHH [NH²]h.VMJML uR$NZDGFIH"b¬.B@R$]".HX-GBSF&]"FnH<]"F&D« N&VKXYFnQMD kB@[ëNVEXYFIQ.H]<]"FIH ].NV5NDVKF&D.RSQEBSFIVEFIH]"FnH²£7B$JML"QEFbDKJMLhNH".HXYFIHBS[ «NVKXZFIQaFIVKhRN&VKFIH¾>

N ¬

_7¬.¬BSR$]h.H.X=Z M "FP^Z [ Z a aS dPHZ S P'UWZ iUhiydPHZ SiP WZ P^Z^iPHS "aT S g iUhiIg$g WSU$ PT iydPHT ? X&UWZ P i ea P$ijZU PHS gHiyd PT i i PHZ^P SiP WZ PHZ^iP "aT S g i/Uhi P P^SdPHS ]ijZU \ gHi Z WT *UWS P^Z 3WP^SSi dPHaWi l^\ 7 P d P aZ8 P dWaZ'l^\ U g9PHS " dWaS T&UWZ P$i 9U" 3 S l 39i aSdmd P]iP WaS3dPHZwY(PHZUWdP^SUWS [&U g$g aS TVT P^Z 3 P S PHZ 7 Z'd Pg ah\&Z^i7_ a,P S PHZ P'dWa 39i WS dP^Z "aT S g iUhi ^T (P^Z^P l^\ " g ((QS e 3 WS&Si P^S_ 7 P /\&U g9PHSa "FPHZ UWSP 9PgHi PgHiP i67 PHZdP^S NH¼ZNH.H¼BSH¼_7¬.¬.B@R$]"H.Xt=Y 0pnuFIB¶TfL4NYDGFnH.¬FIVKX4NH.XZFFIVKFnH.H.FIHhuWZ¬FnB]"B@[email protected]]"FIV 1KFIuFIB@RSB@XYFIH²7FnVMNY]hFIHNHgNYDEDG.H.XB@[\[tFIVXYFIVEBSH.XZFIV6]"FIV9FIVER$NhOUNRDGW,NYJML.FIVkB@VM]ª>£NZD®B@F&]"FIH ]"F&D«NVEXYFIQ5D¬FIXZBSH.HhQHNZJL<]hBSF&DFIH FIYFIVEXYFI¬H.B$DEDGFIH ¬FIBUFIBSHFI[ QKVMN&L.R bDGQEVKWZ[j¯WYH¼FIQN`Z(bh¡ZYH_>

»"?

Page 63: diplom - uni-mainz.de · "!$#&% ' ( *),+ -/./+ /00 1( 32547698;:= + '0 ?# [ _7` bdc e"gfivebs[\fihhqadgwzrsr@fih ]"b@f 4 ufib@qkvp n xyf]"fivqdgqevmn h xyf 7 4n vk d7pi ¹]"fih²¿.wyve[0o

£NZD BSFP]"FI¯FIVELNR@QKFIH]"F&D« N&VKXYFnQMD .V5]"F[\B@Qª[email protected][ ]"BSXZBSQ5NRSFnHgFnB$JML.FIVKWDGpIB@RSR@WDGWZgk¬FnB¯FIV5DKJML.BSF&]hFIH.FIH uF&]"[email protected] N&L.FIV.HhQKFIV5DGJMLhQI> H"QEFIXYVEBSFIVEQ.VM]hFt]"[email protected]@RSFIRpI.[ _7DGXNH.X®]"F&Dl­[email protected]¬.V5NYJML"bQKFnHY ACB$]hFIVMDQMNH4]ª>ª£aFIVkcBSH.XNH.X®]"F&Dl­qDGpnBSRSR@WDWYgDuLN&QL.B@FIVK¬FIB¾[email protected]&gNpIB@Q N&Q¯WYH?n¡ g¿u> _7¬.¬.B@R$]".HX<Y; N7pIFIB@XYQ2]"BSF²QKVEFI..HX°N&HCFIBSHFI[ _7RS.[2BSH.B@.[bd«NVKXZFIQI>NHFIVEFIH.HhQU]"FIH\VEF&JLhQKFPJO WYVE[\BXYFIHtN&"VEWFIRSFIhQKVEWYH.FnH.g..RD ¯WYH¼¡Z [D H]]"BSF ¬FnV]"B@FlXZF&DKN&[0QEF~NH.XZFtDGQMN&¬.BSR@F~.[\BSHWDGB@Q&N&QI>_7¬.¬BSR$]h.H.XYFnHZ v¬ bvF upIFnBSXYFnH]NYD~"b[\[email protected]&N&QMDEDGBSXZHNR9¬FIBU]"FIVtQKVEFI..HXN[ ? bd« N&VKXYFnQI>N&H FIVEFIH.HhQ6].N¬[email protected][QEVMNLR$DGQEVKWZ[ ¯WZH¼=YYH_ ].NZD ? bd« N&VKXYFnQ7H.WhJMLFIBSHFIH¼DGQMN&¬.BSR@FIH~.[2BSH.WDGBSQPNQ5DG¯FIVER$NhOpIFIB@XYQ _7¬.¬BSR$]h.H.XY,¬ 0"NLVKFIH]\¬FIBFIBSH.Fn[jQKV5NL.RDGQKVEWY[±¯WYH¼¡Y»Z H_hHNYJML\FIQ N`[D8]"BSFt~.[\[email protected]&N&Q]h.VMJML* uRNYDGFnH"¬.B@R$]"H.XtN¬.HBS[\[tQ _7¬.¬.B@R$]".HX\Z J M>_7¬FnB bH.FI[QKV5NL.RDGQKVEWY[¯WYH ?Z?` H_ pIFIB@XYQaDB$JMLDGQ5NVEF uRNYDFIH"¬BSR$]h.H.XBS[«NVEXYFIQ9UFIR$JML.FDGBJL®]".VMJML\[email protected]@H"¬.VEJML\]"FnV7~.[\[email protected]`[DN&.YFIVEQ _7¬.¬.B@R$]".HXY*F&" $O8 M>@NYJMLFIQN?n= [D7pnFIBSXZQk]"BSFt]h.VMJML uR$NZDGFIHh¬.BSR]".H.X2VKF&]"pIBSFIVEQKF~.[\[email protected]@Q&N&QBSF&]"FnVFIBSH.FnHDGQ5N¬.B@RSFIVEFIH FnVKR$N&"OE>

H.H.FIVELNR@¬]"F&D¡Z [DN&"VEWYg..RDGF&DuVM]"FIH\O.HhO3FIB@QGOFIH4DGQKFnVuN&DGXZF&DG4JLhQ.H]]"B@FB bXYH4NRSF]"FPD7]"B@XYB@QMNR@FIHgFIBJLFIVKWDGpIB@RSRSWDGWZgD HNZJLhQKVPNXZRSB$JML\Hh.[\FIVEB$DEJLtBSHhQKFIXZVKB@FIVKQn>¿a.V2FIBSQOFIHDGQEFIVU?u¯WYHt [®D(¬.BD">m [D pnFIBSXZFIH]"B@FuB@H"QEFIXYVEBSFIVEQKFIHB@XYHN&[email protected]&¬.BSR@FIH9FIVKRN"O¶].NYDk«NVKXZFIQpnFIBSXZQH.WhJML FIBSHF4 uR$NZDGFIHh¬.B@R$]".HX.>¾ H FIBSQOFIHDGQEFIVq=¯WYH¢">m [D¬.BD\?Y?Y>m» [DpIFnBSXYFnH<]"BSF2BSHhQKFIXZVKBSFnVKQKFnH°BSXZHNR@FFIVMDQK[N&R$D uR$NZDGFIHh¬.BSR]".H.X²]hF&D« N&VKXZFIQMD > H-FIBSQOFIHDQKFIVq=pIFnBSXYQqDGBJLFnBSH²DGQ5NVEFIVkcBSHh¬.VK4JL²]"FnVlB@H"QEFIXYVEBSFIVEQKFIHB@XYHN&RSFtBS[ FnVGbXYR@FIB$JMLpn²]"FIH-FIB@QGOFIHDQKFIVEH¼(bh¡FIB@QGOFIHDQKFIVaM?Y?Z> » [®D7¬.B$D?I">m [D8 FIB@QGOFIH4DGQKFnV7`&M?Ih> [®D ¬B$Dk"?Z> ¡ [D.H4] FIBSQOFIHDQKFIVk¡M"?Y>m¡ [D¬.BDl¡Z">m [D 5>£7BSFFIBSQOFIHDQKFIVk¾bh¡¯WYH¹?Y?Y>m» [D¬.BDu¡Yh> [®D DBSQEpIFIHtBSH\[email protected][ uFIVKFIBJL@B@H\]"Fn[jDB$JML\]"B@F]h.VMJMLBSF&]"FnH\]"FPD«NVKXZFIQMDVKFP]".pIB@FIVKQEF~.[\[email protected]&N&QDQMN¬BSRSBDGB@FIVKQULNQn>_7¬.¬BSR$]h.H.X¢"?- NpIFnBSXYQ2N[ uFIB$Dg.BSFnR]"F&D2NhVKWYg.R$DF&D0¬FIBq=Y=zrP H_ÃQKV5NL.RDGQEVKWY[]"B@FT [email protected] ]"FIV9XYFPDGFIQEpIQKFIHFIB@QGOFIHDQKFIVn>£7B@F_7¬¬.BSR]".H.X"?4¬pIFIB@XYQU].NYDuB@H"QEFbXYVEBSFIVEQKFaBSXZHNR]hF&D9]"BSXZBSQMN&RSFIHtgFIB$JML.FIVEWDpIBSR@RSWDWYgD]"F&DpIFIBSQERSBJL.FnHk¿.FIHDGQEFIVMD¬.B$D `[D(B@H9WYR@QN"OXZFIQKV5NXYFnHXYFnXYFIH ]"FIHQKV5NL.RDGQEVKWY[¹> B7BSFIVO .VªVM]"FIH ]"BSFB@XYHN&RSF9¯WYHk[\FnL.VKFIVEFIHNhVKWZg..RDGFIH[\B@Qa]"FI[£7B@XYBSQ5NR@[email protected] uF&]"BSHXY.H.XZFIHN&"OXYFnH.WY[0b[\FIH².H] Hh.[\FIVEB$DEJLXZFI[\BSQEQKFIR@QI>¾£aBSF\XZFO .RSR@QKFIH "[t¬WYR@F &kpIFIB@XYFIH¢pI.[$ FnVKXYR@FIB$JML]"FIH 9FIVKRN"O]hF&D0_aRS.[\[email protected][bd« N&VKXZFIQMD8]"F&DEDGFIH £7BSXZBSQ5NRSWDGpIB@RSR@WDGWZg"bEBSXZHNR@F¬FIBaXYRSFnB bJML.FIH*FIBSQOFIHDQKFIVEHB@H"QEFIXYVEBSFIVEQ.VM]hFIH¾>£7BSFWFIH.FIH²h[0¬WYR@F&UpIFIB@XYFIH¹].NYD) FnVKLN&R bQKFnH]hF&DuA NZDKDFIVMDQKWbd« N&VKXZFIQMD >NH²FIVEFIH.HhQBSH²_7¬¬.BSR]".H.X¼"? v¬q]"Fn.QKR@B$JMLª]N]NYDk« N&VKXZFIQ¬.BDFIQN0`[®D FnBSH.FIHNHHNL.FnVKH][email protected]&N&VKFIH9FIVER$NhO9N&"OuFIBDGQ9]"BSFt~.[\BSHWDGB@Q&N&Qa]".VMJML* uRNYDFIH"¬BSR$]h.H.XH.WhJMLH.BJLhQ9¯FIVKVEBSH.XZFIVKQU.VM]"F>. [ uFnVKFIBJLt¯WYH*` bh¡Z[®D B@VM]\]"B@F [email protected] ]"FIVa~"b[\[email protected]&N&QDB$JML"QE¬NVn> qNYJML;v` b4?I=7[D,FnBSQGOFnHDGQEFIV=7kpIFIBSXZQ]"B@F~.[\[email protected]¼cfB@H"¬VKJMLpI [email protected]¼]"FIV) uR$NZDGFIHh¬.B@R$]".HXBS[ « N&VKXYFnQI>_7¬²?I= [D /FIBSQOFIHDQKFIV(bz¡UB$DGQa]hFIV9FIVKRN"O]"FnV]".V5JL uRNYDGFnH"¬.B@R$]"H.XB@[j«NVEXYFIQVEF&]".pIB@FIVKQEFIH~.[2BSH.WDGBSQPNQBSFP]"FIVaDGQ5N¬.B@R > uF&DGWZH]"FIV5D7N&DGXZFIg.V&N&XYQBDGQa]"B@F&DGFPD3 FnVKLN&RSQKFnH\BSH¼_7¬.¬BSR$]h.H.Xt"?vF 9¬[email protected][^QKV5NL.RDGQKVEWY[j¯WZH=Z=zr&H_>

»Y=

Page 64: diplom - uni-mainz.de · "!$#&% ' ( *),+ -/./+ /00 1( 32547698;:= + '0 ?# [ _7` bdc e"gfivebs[\fihhqadgwzrsr@fih ]"b@f 4 ufib@qkvp n xyf]"fivqdgqevmn h xyf 7 4n vk d7pi ¹]"fih²¿.wyve[0o

N ¬

J ]

F&

_7¬.¬BSR$]h.H.XtYM UWZ PgHi P i?g Sd kSU$ P dPg /aT S g iUhi g TWS i WZg /UWa PHS WTVT P^ST iLP S PHTd ijU$ PHS W[]P l^\]PHZ g$_ + g 3 F[ U . WSmP S PHT e4 aT S aT>ijUWZ P i PgHijZ^P^a XiP P l^\]PHS dPg ( Tg1 UWS PHS U 3EZ!F[ a g9Pgy_9P P^Smd P Z$P'l^\i P'l 3 Pa/ g$gHi ZHa 3 i aZ " (P S P'dWZ PHS ]ijZU \ gHijZ WT PHS 'WS ( +* % e _9P Ei(dWU g U g$g9PHZgHi =ijUWZ P$i(P S P>gHijU" X P/aT S g iUhi l (P P S PHT ]ijZU \ gHijZ!WT WS ( % e "FP SSiVd P "aT S g i/UhidWaZl^\ U g9PHS " dWaS SUWl^\ P$i 7 U TgU"^_ aS]P\&T PHS jd P P i Z'U \ gHi Z WT PHS 'WS % e aSd * +*-, % e _9P hi/g l^\wgHi UWZ!3WP U g9PHS " dWaS

»Y

Page 65: diplom - uni-mainz.de · "!$#&% ' ( *),+ -/./+ /00 1( 32547698;:= + '0 ?# [ _7` bdc e"gfivebs[\fihhqadgwzrsr@fih ]"b@f 4 ufib@qkvp n xyf]"fivqdgqevmn h xyf 7 4n vk d7pi ¹]"fih²¿.wyve[0o

N ¬

J ]

F& O8

_7¬.¬BSR$]h.H.X"?EM aZ "FP^Z [ Z a aS dPg P'dP8 P^Z \&U$ iPHS g cdPg U g$g9PHZgHi =i UWZ P$iIg77aZdPHSwd P WS&U$ P SS PHZ\&U$+" aS =_9P i l^\]PHZ PHZ^P l$\]P S&S PHZ\&U$+">dPg ( Tg U 3EZ!hX[ a g9Pg SiP WZ PHZ^i jU ^S dPHSVe "'" dWaSPHS "X gHi 9P87/P g dWU g ^SiP WZU$ S). $ i y_ aPHSiIg[ Z^P'l$\]PHSdPHZ P i P PHS dPHS ]ijZU \ gHijZ!WT % e UWa P$ijZU PHS P RhT" $ P w_9P XPHS dWU g .]PHZ \&U$ i PHSmP S Pg(e4 aT S aT>X&UWZ P$iIg P RhT" $ P _9P P^S dWU g . PHZ\&U$ i P^SdPg U g$g9PHZgHi =X&UWZ P$i g P SiP WZ PHZ^iPHS kSU$ P S P i 9PHSWgHi PHZ >_9P PHS PHZ SXP>e " 7 P l^\&aSPHS WT S . PHZ UWa P SiP WZ P^Z^iPHS WSU$ P S dPHS P i 9PHS gHiPHZHS * X _9P PHS dPHaWi l^\*d P . P^ZFZ SPHZHaS,dPHZ/aT S g i UhiLdWaZl^\ U g9PHS " dWaS T ? XUWZ P$i

»`

Page 66: diplom - uni-mainz.de · "!$#&% ' ( *),+ -/./+ /00 1( 32547698;:= + '0 ?# [ _7` bdc e"gfivebs[\fihhqadgwzrsr@fih ]"b@f 4 ufib@qkvp n xyf]"fivqdgqevmn h xyf 7 4n vk d7pi ¹]"fih²¿.wyve[0o

9 L- (+'+ /( /% = 1(+ (. H ]"BSF&DFI[ okNgBSQKFnRaDGWYR@RSFIH D.DQKFI[N&QKBDKJML.F\cB@HfDEDGF79BSFFIQN]h.VMJMLCQKV5NL.RDGQKVEWY[0bDKJMLhNH".HXYFIH¶« N&VKXYFnQK¯hBS¬[email protected] uR$NZDGFIHh¬.B@R$]".HXYFIHB@[º«NVEXYFIQWh]"FIVcBSHDQKVEFI..H"bXYFnH²]".VMJMLcV5].DKJML.RSFnB OFIH\H(NL.FIVq.H"QEFIVMDJML"QUFIVM]"FnH¾> B7BSFnVKpI¬.B@FIQKFIH¹DGBJL¼¿.WY.VEBSFIV5NHNIbRSDGFnH]hFIVXYFI[2F&DKDFIH.FIHgFIhQKVKFnHN&H¾>_7¬.¬BSR$]h.H.X=Z¡pIFIB@XYQkFIBSHFIH Q"gB$DKJML.FIHpnFIBSQERSB$JML.FIH*9FIVER$N&"Oa]"FnVBSHhQKFnXYVKB@FIVKQEFIH ~.[\[email protected]@Q&N&QMDKDBSXZHNR@F7 B@HC]"FnH.FIH*1KFnuFIB@R$D]"B@FBSHhQKFnXYVKB@FIVKQEF~.[\[email protected]]"BSF¼cVKFnBSXYHB$DKDFNhOXYFIQEVMNXZFIHVM]"F>£Nt]"[email protected] ~.[2BSH.WDGBSQPNQ5DG[\F&DEDG.HXYFIH\XZFI[\F&DEDGFIH.V5]"F7.B$DQF&Du[²[email protected]¿.WZ.VKB@FIVMN&[email protected]]h.VMJML.pI"OL.VKFIH¶>

c9Du.VM]hFFIBSH2TVKWZXYVMN&[\[ ND]"FnV CUc9 TfVEWYXZVMN[~BS¬.V5NVK2¯FIVKUFIH]"FIQ9YuFnR$JML.F&D9]"BSF# DEJL.HFIRSR@Fu¿.WZ.VKB@FIVKQEVMNH4DdOWYVE[NQEBSWZH%¿¿« ¬FIVKFPJL.HFIQI>&£7B@F&DGFPD TVKWZXYV5N[\[´¬FIVEF&JML.H.FIQ]"BSFFIH]hRSB$JML.F¿.WY.VEBSFIVEQKV5NHD OWYVK[®NQKB@WYH¼FIBSH.FnV7VEFIFIRSR@FIHgFIVKB@Wh]"B$DEJL.FnH F&.FIH.p D = D iSiSi D > =[\B@Q=u = > QZ.QKpng..H.hQKFIH¶> uFIBDKJML.H.FnRSRSFnH¿.WY.VEBSFIVEQKV5NHD OWYVK[®[email protected][t.]"B@FNLR]"FIVQZ.QEpIg..H.hQKFkB@[\[\F VFIBSHF=&FIVaT WZQKFIH.pDFIBSH¾>£7BSF¿.WYVE[\[email protected]

?(> = K C W@HD p =54 %( E D ? D i@iSi D ( z =7 »&`

D ? D i@iSi D ( z =7UDGB@H]\WY[\g.R@FIehF NL.R@FIH¾>£7B@Fk£NQEFIHN&"OHNL[\FIVMN&QKFN&L.VKFnH]]"FPDuce"gFIVEBS[\FnH"Q¬FIQEVK.X2">mzrBap> uFIB]"B@F&DGFnV_7¬"bQMNZDGQOVKF&.FIH.paZNH.H2[NH2¿.WY.VEBSFIV5DGgFIhQKVKFnH¬.B$D9[NehBS[N&Rh]"FIV9LN&RS¬FIH£N&QKFIH4N"OHN&L.[\FbOVKFPz.FnH.puFIVEN&VKQKFnH]"FIVfDGWYXZFIHN&H.H"QEFIH 7..BDGQGbd¿.VKF&.FIHp>&£NYDFIehQKV5NL.B@FIVKQEF¿.VKFPz.FnH.pbDGgFIhQKVE.[ VKFnB$JML"Qa¬.B$D`> `Z¡ B7p>B7B@FIVK¬FIBZNH.H²[N&[email protected]@R H.BJLhQa.H"QEFIVMDEJLFIB$]"FnHWY¬FnBSH¿.VEF&zFIH.p&N&H"QEFIBSR+vp> >ª+B7p&UH.B$JML"QQ5NQ5DINYJML.R@B$JML¯WYH¼FIBSHFI[EBSFIRO NYJML.FIH]NP¯WZHvp> >YZ B7p&UL.FIVEVZ.LVKQI>.H NZJL4DGQuFIV5]"FIH ]"BSF<gFIhQKVEFIH ¬FIBQEVKFI.H.XCN&H´[email protected][ _aRS.[\[email protected][b«NVEXYFIQ\¬FbQKV5NYJML"QEFIQI>_7¬.¬.B@R$]".HXkY= NpIFIB@[email protected]&DEDG.H.X[\[email protected][ OV .L.FIH2«¾F&DGQ5N"O¬N&\WYLH.FXN&RS¯ZNHB$DKJML.Ft«¾VKFIHH".HX]"FIVk HhQKFIXZVMN&QKBSWZHDGFnRSFIhQKVEWYH.B@]".V5JL ­ag.QEWYWYgg.RSFIV [email protected] NJML_7H.L4NH.X,C5>NHFIVKFnH.H"Q9B@H]hFI[j¿.WZ.VKB@FIVMDgFn"QEVK.[ ]"[email protected] FZNHhQKFNehBS[N ]"B@F .¬FIVa]hFIV57HhQKFnVKXYVE.H].DEJLhuFnRSRSFURSB@FIXYFIH _a WD.H.Xt]"FnV¿.VKF&.FIHp&M>£aBSFk_7 WD.H.XBSV5] BSH _7¬.¬.B@R$]"H.X²Y= N&H.XYFnXYFI¬FIH .H]°]h.VMJML ]"BSF\XZF&DGQEVKBJL.FnRSQKFnH°~BSH.B@FIH<XYV5Ng.L.BDKJML¯FIV5]"FI.QERSB$JMLhQI>£N&VMNhOL.BSH.VM]hF¯WYV®]"FIH£7B@[email protected] ]"F&D\ HhQKFIXZVMNQEWYV5D0FIBSH­ag.QKWZWYg.g.R@FIVtFIBSH"bXYFn¬.VMNZJLhQ6.[ ]"FnH£7BSXZBSQMN&[email protected]&H.X¢]"F&DtdHhQKFnXYVMN&QKWZVMD0XNRS¯ZN&H.B$DEJL ¯WYH]"FIV2NYDEDGF¼pIQKVEFIH.H.FnH¾>_7¬.¬.B@R$]"H.XtY=v¬UpIFIB@XYQ9.].N&]"BSFQ&WZVK.H.XZFIHHNZJL¼cBSHh¬N¹]"F&D7­ag.QEWYWYgg"bRSFnVMDu¯FIV5DKJML".H4]"FIHDBSH]\.H]DWY[\[email protected]¼]".VMJML¼cVM].DEJL.R@FIB OFnH\pI.VZJbpI"OL.VKFIH¼DBSH]ª>£7FIV­7gQKWYWZg.g.R@FIV7BDGQkDWY[\B@Q7HWYQuFIH4]"BSX .[ cVM].DEJL.R@FIB OFnHpn¯FIVK[\FnB$]"FIH@"]hBSF]h.VMJML]"WZg.gFIRSQEFcV5]".H.X\¯WZHBSXZHNR2 N&H]"FIVa_a`bEQKVEFI.ZN[\[2FIVA.H]¼«(VEBSXZXYFIV N&[^£7BSXZBSQ5NR [email protected]&H.X\]hF&D H"QEFIXYV5NQKWZVMD"uFIHhQMDQKFILFIH¾>

»Y¡

Page 67: diplom - uni-mainz.de · "!$#&% ' ( *),+ -/./+ /00 1( 32547698;:= + '0 ?# [ _7` bdc e"gfivebs[\fihhqadgwzrsr@fih ]"b@f 4 ufib@qkvp n xyf]"fivqdgqevmn h xyf 7 4n vk d7pi ¹]"fih²¿.wyve[0o

N ¬

_7¬.¬BSR$]h.H.XZ=MLN WaZ PHZUWS&U$ R g9PHS3dPHZP^T Pg$g9PHS PHS W[]P!39ijZ^P^S5UWS P S P^S e4 aT S aT>X&UWZ P$i U wN WaZ PHZ$i Z'UWS g WZHT PHZ^iP dPHZ SiP WZ P^Z^iPHS "aT S g i/Uhi4"FP P S]PHT i Z'U \ XgHijZ!WT WS % e \&S P WU$+BUWS g l$\]P &Z^PHSS&aS dPHZ^SiP WZUhi WS g9P P 39i Z WS 3 dWaZl$\ []i 3 F[W[- PHZ *UWS;PHZ 3kPHSSi7g WS 2 3EUWSiP*U TVU T W[]P!39ijZHaT d P a "FPHZLdPHZ Si P^Z^XWZHaS&d g l^\ 7 P P P PHS Iea g aSVdPHZ7NZ$PBaPHS _ " (N WaZ PHZ$i Z'UWS g WZHT PHZ^iP dPHZ SiP$XWZ PHZ$i PHS "aT S g i/Uhi "FP P S PHT ]ijZU \ gHijZ!WT 'WS % e T i WU$+BUWS g l$\]PHZZ$PHSSaSdWaZl^\ []i 3 F[W[- PHZ P UWakg Pj[ Z U hiPHS *U TVU T W[]P!39ijZHaT g SdVT i WU$+ UWS g l^\]PHZ&Z^PHSS&aS '$ gHi UWSd PHZg l^\ 77aSdPHS 3 WSS PHS U$ g P SdP^a i ;U$ g0 S gHijZ^P^aaS;dWaZl$\0Zd g l^\ P 9PHS dPHSi 27_ PHZ$i47 PHZ'dPHS

c9D9DGFIBHh.H\]NYD 9FIVELNR@QKFIHt]hF&DA NZDKDGFnVMDGQEWbd« N&VKXYFnQMDaDGQK4]"BSFIVEQI>£aBSF&DFaF&DKD.H.XYFnH0.Vb]"FIHWYLH.F XN&RS¯ZNHB$DKJML.F¢«(VEFIH.Hh.H.X ]"FIV¼ H"QEFIXYV5NQKB@WYHDFIRSFn"QEVKWYHBSC]h.VMJML ­ag.QEWYWZg.g.RSFnV]".V5JLXYFO.LVKQ6¶]"BSF\QPWYVE.H.XYFnH DBSH]BS[ ¿4WZ.VKB@FIVMDgFI"QEVK.[H.WhJML FIHhQKL4NRSQEFIH¾>£7BSFt¿.WZ"bVKB@FIVKQEVMN&HDdOWZVK[\B@FIVKQEFIHt¿.VKF&.FIH.pPDGgFIhQKVKFnH\]"FPD pIFIB@QKR@B$JML.FIH49FIVKRN"O D9]"FnVBSHhQKFIXZVKBSFnVKQKFnH\~"b[\[email protected]&N&QDBSH]BSH²_a¬.¬.BSR]".H.X®Y* Nbq] ]NVKXZF&DGQEFIRSR@QI>_7¬.¬.B@R$]"H.XY* Na.VM]hF¬[email protected][QKV5NL.RDGQEVKWY[ ¯WYHth> = % _ N&"OXYFIHWY[\[\FnHlH]pnFIBSXZQ Hh.V9]"B@Fa]".V5JLtcVM]DKJML.RSFIBOFIH¯FIVE.VMDENYJML"QEFIH¼¿4VEF&.FIH.pIWZ[\gWYH.FnH"QEFIH "FPD7B$DQ[\BSQa]hFI[ gFI"QEVK.[ ]"F&D_aRS.[\B@.[Q5NVbXYFnQMD¯FnVKXYR@FIB$JMLh¬NVn>9£NYD²?I A «¾F&DGQb A¢NYDEDGFIV5DGQEWQMN&VKXYFnQ ¬FIXZBSH.HhQ¬FnBQKVMN&L.R$DQKVPWY[\FIH¯WYH²h> ¡ % _ pn DBSF&]"FnH¾>ª£aBSF&DkDKJML.RdNXYQ DGB$JMLFI¬FIH"O N&RSRD7BSH²]"FnH ¿.WYVKBSFnVMDGgFIhQKVEFIH-¬ bq] H.B@F&]"FIVn>YA NL.VEFIH]].NZDu¿.VKF&.FIHp&DGgFIhQKVE.[E N7BS[±¿.VEF&zFIH.pI¬FIVEFIB$JML ?B7pq¬FnBHBSF&]zbVKB@XYFIH\QKVMN&L.R$DQKVPWY[\FIHNYJML¯FIVKRdN"OQ9FIHhQMDQKFILhQ¬FnB.LWYLFIVKFIHQEVMNLR$DGQEV&WZ[\FIHDBSXZH.B FZN&H"bQKFPDfHBSF&]"FnVGOVKFPz.FnH"QEF&D¾7N&DKJML.FIHB@[¿.VKFPz.FnH.p&DGgFIhQKVE.[>&£7B@F1KFIuFnBSRSB@XYF _7 WDG.H.X]"FnV¿.VKF&.FIHp\B$DQ0L.B@FIVK¬FIB@1KFIuFnBSR$DkBSH ]"FIHgFIhQKVKFnH°N&H.XYFnXYFI¬FIH¾>UNH LNQtL.B@FIVK[\[email protected]]"F7]"BSF uRNYDGFnH"¬.B@R$]"[email protected][ ? b«NVEXYFIQapI.HhQKFIV5DGJML.FIH¾>

»Y»

Page 68: diplom - uni-mainz.de · "!$#&% ' ( *),+ -/./+ /00 1( 32547698;:= + '0 ?# [ _7` bdc e"gfivebs[\fihhqadgwzrsr@fih ]"b@f 4 ufib@qkvp n xyf]"fivqdgqevmn h xyf 7 4n vk d7pi ¹]"fih²¿.wyve[0o

N ¬

J ]

_7¬.¬BSR$]h.H.X¢YMLN WaZ PHZ'UWSU$ R g9P^S "FP PHZg l^\ P'dPHS PHS ]i Z'U \ gHijZ WT PHS5UWa dPHT ( ]PgHifX ? X&UWZ P$i UWS PHZ!3WPHSSi dPHaWi l^\ dWU g 0LSi gHiP\]PHS WS S P'dPHZ Z^PBaPHSiPHS=UWahg l^\3 WT [ WS P^Si P^S T N Z^P a PHSW_$g[ P 39i ZHaT _ "FP \ \]PHZ^P^S]ijZU \ gHijZ WT PHS Pg9P0 yP!39iP=i Z$P$iPHSwU" ]ijZU \ gHijZ WT P^S kZ PHZ( % e UWa " X d aSdg S&d T i dPHT P'dPHSdPg ? X&UWZ P$i g _ a dPHSi 27_ PHZ$PHS U g W[]P!39ijZHaT U (_9P hi d Pg9P 0 yP!39iP=S 9l^\S l^\i ]ijZU \ gHijZ!WT ( +* % e

»zr

Page 69: diplom - uni-mainz.de · "!$#&% ' ( *),+ -/./+ /00 1( 32547698;:= + '0 ?# [ _7` bdc e"gfivebs[\fihhqadgwzrsr@fih ]"b@f 4 ufib@qkvp n xyf]"fivqdgqevmn h xyf 7 4n vk d7pi ¹]"fih²¿.wyve[0o

¾ @

! "$#% &(' ")+*-,.$&0/1 "243(5+&6!7*8#:9;&0,<20,.2%=>) "+?#A@15+ -+,B#% "2?C2D#%,. "20,<&D# -FEG.#H#I &%J+KL M&0 +NB,$OBJ%' 20 N>20,<&D#%=+#%20 P "21 ">20 Q<&0 - &0 R! &'S20M151#%*"$#%:NB,<1#I2H&05+ - &025+1$5!TUQ. /R5+2MVW+<#:5+>20 &XN!*- "+MY4,.&037C$&026#0#I2H&0 5>3( "NB *"ZOB,.\[^]_J>`badce! -f -+ g hi jk*HC51#0#% "QJlEG.#0#% &D#%20,$mW26&HQ. 2nQ< 20&H 5+2H po;*" N>20&H,.+MP1 i >3: 8#I2 qrs>20M&t! -$#I u 2H&0 5>3( "+NBM*"S!,. -+ "M&02v! "xwty*"*- &D#%20&H 5+5++QX "21 -+ &zox &0Q< "4!M&_wty*"*- &0M*" N>20&H,.+ OB,.M2I3| gM.h wMYV.> "(~S#I=> 2H&0 4! &wty*-*" &6#I2H&0 5+5+Qs 8#I2+/1 OB &01 i * C.#H#I -Q./1$&N>*" -q1's "7 *<#I2H # i Q<$#I2H&0 520 \o;*"MN!2H&0,. 5+>20M&e! -$#IME -+NB *1$/1 t " 5+ -+& C,<. +,<&D!>5++QN!*- "+M&0 u 20&0M51b5 &D# i + "202Mq>'s "7~e#%=! 20&% "> &( *<#I2H # i + u 2H&0 5+5+Qt5+>20 &7! -$#I E -+NB *4 #%2+$/1 :M+&0 &H& C,.< +,<&D!>5++Q< N>*" -+ &MV*8#! -o;)>11!*- i +NB -24!$#(~]Jdox>)1 &0 - >2D#;T C5+&! "7~e#%=! 2H&0 -:5+>20 &< c q

w "2s "*TUOB,<w L J u "Z5+*$20 -,.+ t3(5&D!+<#'s 20MN!2H,.&D>$#I -Q.!$#79x&H,.2H,.2%=!)1 ,<)!J20 - "M&02 q4!M u -5*2H ",<+ 3( "&6 -+to;)>11!*- i +NB "2!$#EG.#0#% &IJ KL &H +NB,$ObJ's 2H N>20,.&6#FOB,< gf+gMhbB /1 <hk ~ u 20&6+*8#I2H&0,. " g #FM&0&0 i + 2 q_'s &7EM&02OB,<g:$gMhbB >2D#I)&0 i >2:> &:Q<TU,.&6! &02H o;)!11>*" i +NB 24> &s@15+ "+,#I "2 C26#I$#H#I5+Q)+&H,#f5+1/1 <hk ~ u 20&D$+*#%20&H,. - o;!)1 &H " >2 q_'s -Q.TU,.&D> &02Hto;)!1R!*" i +NB "2!$#f@15+ ",B#I -2 C$2D#I,.+ -20,.&6#AM&0Q. -/+2S#I i t$51#f : &0 i +>5++Q< ¡ 5\! Q.TU,<&D!M&020M\#I2D J20 8#I2H # i + 5+1#%=+#%20 ¢20 8# i + j+ +*"M&0qo4#3(5+&D!MO! - &O<N>5+5+Z2D$5+Q.*- i +£¤$#%20,>>5+*"¥51#! Q. Q< EG.#0#% &&0$#% #%20 !J20MPo4! *8#I26+*75>TUQ. /1$5+251¦ " -+ & u 2H&0 5N.$ &Z -2 -+ g h;i jk* C51#0#% "QJEG.#0#% &D#%20,$mW26&HQ. 2eM "+Q< /152 qj C5+&§! @15 "+,#I -2 C26#I,<+ "2H,.&(3(5+&6! -+ -Q. !2H Q.&62H ",.R#I *- N!2H&0,<+ "NNB,<1#I2H&05!J "M&02 V1> " -++ &H1*-/ g ¢#A -\! &[email protected] #%2 Vv! "Z@15+ -+,B#% "2 C$2D#H#I "Q<1*- -2(!M&e C,.2H "Q< o;)!1R!*" i +NBM ¨2_OB,. g©Mg hb ¡ 5Z ">20MQ.&0 - &0M5+R! " "@vQ.f 8#I2: -> Q.TU,.&D> &02H g _ #(! -e'e$20 " -+ ~e' L ¡ 5NB,.>OB &H20 "M&0 q<'s -e>20 Q<&D2H ",<1#I *- N>20&0,<+ "N7NB,.+>20¡ 5+OBM&0*%C<#0#% "Q/1 2H&0 - /1 3: &6! q's -f£¤?#I20,>!5+*"(3(5&D! -2;OB &6# i + "$> + u ) " Q< *"¡ M*"*"M -+Q.$#% 20¡M2 V.3X,./1 _*-5+ J+ -5+/1$)!TU2Hw=!*8&%TU,.*" - ! -f/ª?#I20@1 i >2D#H*5+QFM&0QB$/1 q

w$#0#%5++Q.M -2! u ) " Q< *"¡ M*"*"Mn$51#*-5+ -+ "5+/1$Z)!TU20 \w=>*$&ITU,<*" "M$ -+ «~s*"5+ "+ -5+¬Jd£_&0Q< 2;3(5+&6!M "+fo;)>11!*- i +NB 2;OB,. g(<g h ­e " g #:/1 M ¨J+ u 20&6+*8#I20&H,.OB,< .hk ~® &H&0 i >2 q¯151# C20¡M*" i 3(5+&D> "2!M°£$#%20,>!5*;! - :*8.#IM!/+ -*!5+Q -t " g h E jk* C51#0#% "QJEG.#0#% &D#%20,$mW26&HQ. 25!2H &D#%5 i >2 qzo©#NB,<+>20 n/ #¡ 5nM "+ u 20&D$+*#%20&H,.OB,< g q± ~¡ 3X B9;1<#I C5/ªM&0Q C$+Q.X "En<#0#% &D#%20,mv26&0Q< 2kTU$#%20Q<$#I2H *"*-2W3:M&D! zq o; "+3: -20 &H;w C,<QJ*" i NB "2! - :*8.#% !/ "*>5++Q "En<#0#IM&D#I2H,mv2D$&0Q< 2¡ 5n5+>20M&D#I5 i +Mt3(5+&D!Z /1 !Tl$*"*8# &%TU,.*"Q<&0 i 7 &0)&0,./2 ²B! -j+,.5+&H " &61$*"=#I! &¡ "2H*" i +MeY4 &0* C5!TU|! &4 ">20 Q<&0 - &02H @15!J -+,B#% "2 C$2D#H#I "Q<1*-Bq

j C5+&S! ¥o; "1#H20¡ -³o;!)1 &H "M!2X #I2S! -´e,.1#%20&H5+N!2H ",<t "+M&#I )1$&D$20 u 2H&0 5N.$J &T C5+&X! @15+ -+,B#% "2 C2D#%,. "20,<&k,.2%3: R! "QV.5+µ! - C5 i N#I20&H 5+5+Q$5!T_.#4´f*",$J

`.¶

Page 70: diplom - uni-mainz.de · "!$#&% ' ( *),+ -/./+ /00 1( 32547698;:= + '0 ?# [ _7` bdc e"gfivebs[\fihhqadgwzrsr@fih ]"b@f 4 ufib@qkvp n xyf]"fivqdgqevmn h xyf 7 4n vk d7pi ¹]"fih²¿.wyve[0o

&0 - 2H &($51#dJd´§&H #%2D*-*" ¡ 5 "+ - &0 zq!~51#s> "$#% s&H5+13(5+&6!.#f£¤?#I2IJ,>!5*#I,Z$20 &H *8&H 3( -e\C,.Q<*" i NB,<1#I2H&05+ - &02MqE\ "2H &0+ -¡ "Q<20¥#I i -!Mw$#0#%5++Q.MV: " ,<+*" -+to; i + 20+,>>¢T C5&! "9;+,.2H,.Z5+*"2H ")+*- " &,.2%3: R! "Qf #%2 VB#%,$3( "( -Z´C5+*#%=+#%20 pTC5+&X! " u )R+>5++Q#I20M "*"M& V.5+u i !3|+N>5++Q< "µ ">20 Q<&0 - &02H @15+ -+,B#% "2?C2D#H#I -Q.1$*¡ 5 "+ - - &0q

³+M! "?#I &~s&H/1 "2X3(5+&D!7 "fw$#0#%5++Q! &( -!2H Q.&H " &H20 @15 "+,#I -2 C2(OBM&IJ3( "&HN!*- i !2Mq$o; "+w,>! 1N<2H ",.! &Xo;*"MN!2H&0,. "Nf5e &ITU,<*"Q< V.5+ 5 i ! "( -!2H Q.&H " &H20B51.!&62H # i +@15+ -+,B#% "2 C2:$#0#% ¡ 5N C,.++Mq

o4#/+*"M "/+27¡ 5n5+>20 &6#I5 i + zV¤3X * i +w,>! ¨RN.$20 -,.+ $ £¤?#I2D$5!TU/1$5OB,.&HQ. ,.M3:M&D! C51#0#% VB5+«! "§#I "Z5+*- " &H20:51Q.TU,<&D! &H20fo;)>11!*- i +NB 2;OB,. g:$g h Bs -g #:/1 M "+ u 2H&D*#I2H&0,<OB,. .h_ ~®¡M5 M&0&0M i + q

`

Page 71: diplom - uni-mainz.de · "!$#&% ' ( *),+ -/./+ /00 1( 32547698;:= + '0 ?# [ _7` bdc e"gfivebs[\fihhqadgwzrsr@fih ]"b@f 4 ufib@qkvp n xyf]"fivqdgqevmn h xyf 7 4n vk d7pi ¹]"fih²¿.wyve[0o

o; "Q.M*.> +$#(£ "* i V>+.##I i -24 "+M&(Q.*"M i !T6C,.&H "Q< $# i !3( -1! -Q.NB -2:>5+& i -)1,.*8&0 8#I - &0/1$&0$#w$! "5®/1 3X Q.2MV -1!5+¡M " &H2k -! -$#I p -¡ M "20*- i eOB &?C1!M&0*" i $#'s -)ª,<*",< >2 qj1$*"*#7! "s?# i !3( -1! "Q<NB "2\!$#£ "* i Q<&$C,<. &Z$*#! - @1 i >20Q<J# i >3( "1! -Q.NB -2 "«w$! "5 -2X! « :&0 i !5+QB#% "1!M #I2MVbT C5+&02! -$#©¡ 5 -+ &~s/1#%20&6+*-5++QOB,<M*" N>20&H,.$Q. 2H -# i + fEM*"*"MqB's -$#;3( "&DZ*8# KL &H +NB,$OBJ%okmv N>2©/1J¡ i + 2 V>!?#0#IM 3X$#IM!2H*" i +e¯151#H + C$+Q.e " &XN!5+&H¡f+$&0Q.?#I20M*"*"2(3X &D> #I,<*"*- M*.¶q~s51#f!M& u 5+)1 &H)ª,#I -20 ",<! &§s5+=>Q.+ R#! ±# i \o;*" M!26&03X *"* &HQ. -/+2f#I i T C5&> E "NB *#"$¤¡ 3( 8# i + 7! EM*"*"M151#%/+&0M "205+QB#%OB N!2H,.&_!M&; -2020 - &02H u 2H&D$+*"5+QF51! &£ -* i + >/1+ZTU,.*"Q< 1!M&e¯151#0$ +R+Q&%

i ,#'"$)( g+* -2 *,(-' [`<ba

'e<#KL &0 NB,OBJH@1 i !23( "&6n#I,< "275>T "+M´e Q.M*© "2f!M1*-/ªM C. mW>5++Q#I3( -!JNB *&" $ $/+Q.$#%20&6+*-2 q>'s "~/1#I2H&D*"5++Q7!?#¢KL M&0 +NB,$OBJ0@1 i >20?#W &ITU,<*"Q.24 -1#I26>2DzVB#I,< "2/1$#I -20¡ M KL M&0 +NB,$OBJ%.> 2H,.&H 5 i >20&H N>5+&H¡ 7~s/+N>*" "Q.¡ -20 ZOB,. -+ "Q< 1#q : ;M "+ KL &H +NB,$OBJ%.! 82H,.&f5$*"*"M&D! -+QB#e -+Zw "1>$#I2H + &HQ. "C5+/1 &D# i &0 "2H20 3:M&D! zV+5+ C5+/1 &01$5+)+2 KL M&0 +NB,$OBJ0@1 i >2:M&0¡ 5Q. ¡ 5N C,<++ qv~s51#e*" i >5++Q[`<ba &HQ. "/2#I i G*8# u i >3: *-*" +Q<$# i >3( "1! -Q.N< "2MV+,./1 &0R*"/!M& KL &H +NB,$ObJ u 2H&D*"5++Q$5!TJ20&H "2H2/%

*,0 g /+¡M3fq1 0 [`<`ba

wt/1 ¡ i + 2X! "f¡ 5+Q< C,<&0 "Q<7w "1!?#I20M+ &0Q< "f$*# u i >3: *-*" +M+ &0Q< "BV<3: * i +SOB,. :&0 i >5++Q#I "R! !$#tw?! "5+¢#¢51®OB,< > &t(5++ ¢.#0#%!$#t£ -* i + p$/+ CQ.2 ´e+,¶2lq

34$6587&9;:<:9(-=?>@ [8A gCB g ED g D g a [`GF.a~s//+ "*8!5++Q$]e #%2;! - u i >3: *-*" +M+ &0Q< "4[U+,.&H " &H2_5!Tª! "|A5+ + &HQ. -; "$#k£ -*¨Ji + Wav "~s/+ C$+Q. -Q.NB -2;!?#; :&0 i >5++QB#% "1> !?#+&HQ.$#%20 *-*"2 q<'e$/ªM +/1$#I -20¡ 2H o;*"MN!2H&0,J+ t3X Q.M\! &S#I +&SN!*- "+Mt(5++ <#0#%! -Q.M&0 "QB#I2H u i !3X *"*- + +M&0Q. -BVB3 C+&H 1#I -e/1 _R! &0M# i >3:M&0 &H £ -* i + 3X$#I >20*- i C,. &(*" - Q.2Mq+o; "+7o; "R#02H¡ C,<Q.*" i >JNB -2OB,< KL &H +NB,$OBJ%.! 82H,.&0M*" "MQ.2 -! &£ "* i 1! 8#IN>&0 "Z " ¨M&05++Qt/¡ 3fq(%! !J20 1¡ - &05+Q+V+$5!TUQ.&H5+1t!M&s5+>20M&D# i + -$!*" i u i >3: *-*" + &HQ. "T C5+&s5!2H &D# i + -$!*- i # i >3: &H(£ "* i +Mq : > -+ pEn<#0#% &IJ KL &0M+NB,$ObJd's 2H N!2H,.&;¡q. eq$/1 20& CQ.2X! - u i !3X *"*-T C5+&9; ",<+ HF q±$]w YVBT C5+&o;*" N>20&H,.+ h q `]wMYq

F h

Page 72: diplom - uni-mainz.de · "!$#&% ' ( *),+ -/./+ /00 1( 32547698;:= + '0 ?# [ _7` bdc e"gfivebs[\fihhqadgwzrsr@fih ]"b@f 4 ufib@qkvp n xyf]"fivqdgqevmn h xyf 7 4n vk d7pi ¹]"fih²¿.wyve[0o

~s/+/ "*>5++Q]&% "!#$%&('*)+,!-.0/1'23&46578!9:'.4;=<>.?9:-@@ACBD&FE>*G0HA '>4@=I2,.(0-@1&84JD4@K<2&0'7!9:0'L&0M@AN : z! &(~/1#I2H&D*"5++QZOB,. KL &0 NB,O>*" i >2;3( -&D "QB¡ $#jR&H$B5+ +¡$#%)1 N!2H&05+ M "2%J20 - &02MV.3:M* i +$#;#% i Z51#X! jR,<5+&0 - &0NB,<)1,.+M!2H !M&:$/+Q.?#I20&6+*-20 ¢~s!2%3X,.&02H ")5+*¨J#I*-*" &S's ")1,<*"Z!$#w$! -5+#:¡ 5R#0 1#% 20¡ 2Mq>ox -+Q.?# i +& C$+N!23( "&6t+.# KL &0 NB,OBJu )1 N>20&H5+ !5+& i ~s/R#I,.&H)+20 -,. " $+Q.&H +¡ R! 20 -TU rsYsJf51I:Jd : &0 i zqx¯15& : &H i !5+Q\! &~s¡$+*S! &¢/+Q<$#I2H&D*"20MKL &0 NB,OBJd9x,.20,<+ #%5 i >2Z "+@C,B#%5++QZ!M&©¢N>&0,B#%NB,.)+ 8# i + Zwt$!3X *"*-Q.*"M i !5+Q. fTC5+&4 "Z)1,.*$&0 8#I "M&0/1$&0$#4w$! -5+5+1 -+f9;5++N>20*8.!5+Q+qox>2%3( i N!*-5++Q7! &j+ *8! &4 "¢jR,<5+&0 - &0&H " 51 : &0 i +>5++Q!$#49k,$=>!2H "+Q<OB N>20,.&6#¤T C5++&H Z¡ 5+&4o;+ &HQ. -$#I2H&0,.¢! i !2H: - "+(/1$#%20 -2HXs$5+&0 i >J205+Q+q_'s5+& i \>20 Q<&D$20 ",<C5+/1 &7! Gs$5+Z3( "+NB **dC<2f#I i \! -Zo;+ &0Q< "/1 &H i + V! -t " -+ j+&0$B5+ ¡ ">20 &HO<*"*X)+&0, i £¤M "* i + >/1$+$/+Q.$#%20&6+*-2 3( -&DWq|'s &*8#KL &H +NB,$ObJH@1 i >2 "2H20 - &02H! mv &0 >20 - *"*-o;+M&0Q. - OB &H*"51#%2PO 3 AOQ!$#£¤ -* i + 1$2+$+ TU,<*"Q.M1!7j+,.&0µT C5+&o;*" N>20&H,.+ %

O 3OQ ( ]R 4S3T U [ g D g* [WVªa aX Y,Z [\]_^`0acbV8OV [`<¶ba

s - &0/1 8#I22Vt! -j+&H$b5 +¡7! & u 20&6+*-5++QZ5+1 S ( g g Fq's ¨mv &H +¡ - &02(¢\[`<¶ba1 i VWV1#%, &HNB +>2:$TU,.*-Q. R!7 : ¡ "M!5+Q. q

O 3OQ?OVed V /¡ 3fq O 3OQ?Of6d gf ­ [` ba

F g

Page 73: diplom - uni-mainz.de · "!$#&% ' ( *),+ -/./+ /00 1( 32547698;:= + '0 ?# [ _7` bdc e"gfivebs[\fihhqadgwzrsr@fih ]"b@f 4 ufib@qkvp n xyf]"fivqdgqevmn h xyf 7 4n vk d7pi ¹]"fih²¿.wyve[0o

's -f~s+¡$$+*> &(9;+,<20,. &0Q< "/+2|#I i 1 i ¢'s "O> #% ",.¢!5+& i ?V+ Rt5+1Z &H C*-2 -2 f ( CV$*#(($#I5+*-2D$2! "7#I,<Q. R+>20£k$JdjR&6+NBJdjR,<&0M* %

OOQ ( R S U [ g D g* [ f1a a gf Of [ F h a

~s5 i + - &( &HQ. /1 #I i TU,<*"Q.M1!7 : ¡ - !5+Q. %O OQ?OV d /¡ 3fq O OQ?Of d gf [ F g a

o;&ITU,<*"Q.2X!M&e i >3: 8#k!M& KL M&0 +NB,$OBJ%9;+,<20,<+ ¥C5+/1 &4 -+ Z9;+,.2H,.Z5+*"2H ")+*- " &MV #%,FZ5+$>$#0#% e i !3X # i R&D$N!2H &0 8#I2H "Nt -20/1 &<C5 i N#I i !2H ¨Q< q_'s - ./1$&0&?C,.. #%2+ - &4! -~s+¡$$+*1! &4¡ 5Z9;+,<20,B *- N>20&0,<+ )&0, u i + i !26! i N.4NB,<!OB &H20 - &02H KL &0 NB,OBJ)++,<20,<+ q> : "*8! 2_Z.#49;&0,>!5+N>2X*-*" &;&H *"MO.$!2H 9&D$ 2H & V<#I,f &H C*-2;Z> *-*"Q< -+ ~s51#0>&05 i N %

O 9OQ ( R S U [ g D g* [ fªa a 3[Lf1a [Lf1a [Lf1a Off [ F a

s - &0/1 e 8#I2eo³! -51$!2H +¡ - +¡t> &t9;+,<20,.N<$20+,>!!?#9;+,.2H,.Z5+*"2H ")+*- " &H$#V£³! "¥£¤&61#% #H#I -,.>$#¦KL M&0 +NB,$O>$! -5+#F5+1°+<#(1 > ",<1#IOB &H\C,.Q< !M&E CR!/+¡M3fq+! & u )+ " Q< *"¡M *"*-Bq

F

Page 74: diplom - uni-mainz.de · "!$#&% ' ( *),+ -/./+ /00 1( 32547698;:= + '0 ?# [ _7` bdc e"gfivebs[\fihhqadgwzrsr@fih ]"b@f 4 ufib@qkvp n xyf]"fivqdgqevmn h xyf 7 4n vk d7pi ¹]"fih²¿.wyve[0o

/ @_ /

~s/+/ "*>5++Q < % *.(' /1/ #-8' !0'7!9:. H'7M)?% %M)8@ 0M@ . A'W&! $G08 !0'W!?N G. #A$ 8' !0'W!9:.H'7M)?% @'*K9: 'K5! B $4/A&' " .($#-=/1.'7#KNo4#A3(5&D! 9;+,<20,.Z5+*-20 ") " &X9;+ "*- ")1#$§9 <h.<h&% OB &H3: 1> 2 q

~s5+.M1!5+& i +$#0#% & 'p<!q k´F$20+,>> 1!5+& i $#0#% & 0P].];jRM1#I2H &0$20 &H $* 51&H¡9x,.20,<N<20,>! +$20 &H $* : $*"N<*- ~~s+¡$$+*_'s=>+,>! g 's=!,>! 1$+,.&6!!5+Q *" -+$$&u )1 N!2H&D$*"/1 &0M i g h Jd`. h +vq+#% 1#I -20 -O/1 ] h<h +

~s*8# u )R+>5++Q#I20M "*"M&k¡ 5po; "1#H20¡(N<$ > &kY§' g ] % ´V.M/ªM!Tl*-*#OB,.9;+ -*" -)1#q<'s "?#I & #%2M ")R.#0#% "OB &)( ">20 &H$! 82H+*¢£©=>) Lu )1$+!5+QB#%20 -*" &Mq:o;&3( -&D "2+ Q2H "OB &s, i 1#I)R+>5++QZ/1 20&H " /1 \[^¢vq! h.h<h Ya(5+R¢R2 "+SY©M&D#I2 C&HN!5+QOB,< d .g h-, q

F$

Page 75: diplom - uni-mainz.de · "!$#&% ' ( *),+ -/./+ /00 1( 32547698;:= + '0 ?# [ _7` bdc e"gfivebs[\fihhqadgwzrsr@fih ]"b@f 4 ufib@qkvp n xyf]"fivqdgqevmn h xyf 7 4n vk d7pi ¹]"fih²¿.wyve[0o

's &f >)1 &0 - >20*"*7~s5!TU/1$53(5&D!/1 &H "26#§ -\´f)+ -20 *4>q /1$# i +&H " /1 qv~sG! "?#I &u 2H *"*-Z#I,.*-*; C$+ &75!TS> "Z's 26 -*#f!$#f!2H Q.&62H,.&D#e5+R! -Y4 &6# i 1*-205+Q! &7o;*" NBJ20&H,.+ -N -o;>)1 &0 - >2; "Q. Q+Q< 3: &6! q>o4#:3(5+&D>F "2;5+)ª,<*$&0 #% " &H20 u 2H&D*[ h #fwtN>&0,<)+5+*8#I.aQ.M$#0#% V#%=! i +&H,.+ 8#I - &02e3(5&D!! "o;*" N>20&H,.+ -Nt$5!TS! "wt?JN>&0,.)5+*#%f!5+& i M "+ #I,<Q. R+>20 wt~ewt^Jd£¤&H "Q<Q. &Mq!~51#:!Mwt$N!&H,.)+5*#IM3(5+&D> ¯1 -2ITU 1#%20 &XOB,. g #s@C$+Q.7+ &651#%Q.$# i + "202H qs - &0¡ 53(5+&D> ->20 Q<&D2H,.&eO> "M&fw,.+,1,.)R#!$#S£©=>)1# F ]B L .!g "Q. /1$5+2 qzox - : "*8!?#k >)ªM&0 " !2H **" §~s5!TU/1$51#; #I2_ "Z~/+/+ "*8!5++Q ]7+&HQ.$#%20 *-*"2Mq.'sM u i R*"2H)+*$!$#X!2H Q.&620,<&D#:¡ M "Q.2|~s/+/+ -*!5+Q<`!q1'e<#(£: " -+Q7!$#:>20 Q<&D$20,.&6#: #%2: "¢~s/+/+ -*!5+Q F+$&0Q.?#I20M*"*"2Mq's & &D#%20\w,.,1,<) [w . . g a¬£©=>) F ]B L .!g &0$$Q. - &02$5!TZ> "Tl*-*" R!tjk*8+NB!$#wt~SwtlJd£&0 "Q<Q. &6#[ d # aS5+1n &0¡M 5+Q.27 " £&0 "Q<Q. &7 " &@ C$+Q.OB,. h.h 1#! &7 "> "w . . #7]tQ.M!2Mqk' "w . . #f] &H¡ 5+Q< n¡ 3X 49;5+*#%BVkM "+ 9k,#I "2H "OB "24 -+ &(@ C+Q<OB,< g #©5+R¢M "+ s QB$20 -OB -2 g q h k#s@ CQ.Bq1'sM&,./1 &Hw,.,1,<)n&0$$Q. - &0275>TS! "Tl*-*" 1>Zjk*$+NB>$#f h.h 1#£¤&H "Q<Q. &6#V;> &f5+!2H &0w,.,1,<)t5>TX! "§#I20M "Q.M1!fjk*8+NB§!$#£¤&H "Q.Q< &D#q+'s -$#©T C5++&H2(¡ 5 " &:Y4 &H¡ C,.Q< &05+Q!$#f9;5+*8#I$#e$51#fw . . ] OB,<\ h<h 1#q's "?#IY4 &0¡ C,.Q.M&05++Q #I2§5!TUQ<&05+1G! & u i 1$*"2IJ¡ -24OB,. gMh 1#:/+ 8# g h<h 1#!$# u i R*"2H &D#4'F]<] g +,.2%3:M1! "Qq+'sM& u i 1*-20 & u g #I2H 5+ &H23( " -\! \~s//+ "*8!5++Q<`5+1 ] &D#% i !2H*" i ! \>20 Q<&D$20,.&MV u i 1*-20 & u #%2f¡ 5+ >20*8.! ¢!$#´§,<1! R#02H,.&6#A+,<2%3: 1> "Q+q's &M "Q.M!2H*" i +_>20 Q<&D2H,.&_ "f~/+/+ "*8!5++Q<`A 8#I2 -> &W)+5+N!2H " &H20 § :,S¡ 57#I +MF51 #%2( "24 -+ «o; "+Q+Q#I3( > &D#%2DROB,. g h<h ¥! &~s,>!7!$#(9;+,.2H,.Z5+*"2H ")+*- " &6#Q.$# i +*-,B#H#I q1~*# . )1 &D$20 ",<1#IOBM&D#I2 C&HNB &:3( -&D> & . 9W~ gM!g OB &03X 1! 2MV>! "$#% &(1$2 -+ Q< &0 -+Q.M : <#dJ u 20&H,. OB,.3X + -Q. )1~V4 "#I26/+ -*"$# . mz#% 251 "Q. &H "!JQ.?#51# i +Mq; Q.M+NB,.)+)*"5++Q#I¡ 3X "Q #%2FM " gMh 1jp9k,.*-=!)&0,.)>=>*" +NB,<1! R#02H,.& -+Q.$#% 20¡M2 q19k,<*"=>)+&0,<)!=>*" NB,.1!M1#0$20,.&H R/1 \#IM+&eQ.M&0 "Q.@1 i N#I2H& C,.F51t#I -1#I,< "2T C5+&f "+Mno; "R#02H¡ -!2H Q.&620,<&fQ. -Q.+M2 qE ",</ªMn/1 &0 -2D#eN>5+&0¡Z &03 C$+>2#I2H 5+ &H2 u i R*"2H & u g ! !2H Q.&62H,.&:51#I,<&0Q<2:T C5+&: -+Sd>20MQ.&D$20 -,.1#%¡ "2OB,. g ¢#x -! £$#I2H$#H#I5++Q< q>E C+&H 1 u i 1$*"2H & u g Q.?# i +*",#0#IM 8#I2MV!Z5+ u i 1$*"20M& u ,mv #IM "V.5 ">20 Q<&0 "M&0 7¡ 5NC,<++ zq u i 1$*"2H & u /+*- "/+2+, i Z 2%3(f hk #4Q.>C,$mW 2 VB3:M+u i 1*-20 & u g /1 &0 -2D#:Q<>C,mv+ 2S3(5+&D!VW!M&e>20 Q<&D2H ",<1#I¡ =>N>*"51#:/1 R! 23(5+&D!qW's -$#I¯1 -2k3( -&D "Z> &4£$#I2H$#0#%5++Q¡ 5+&4~51#I*-$#I|! &4'e$20 ZOB &H3: 1> 2 q$~s5R#I&0M i + 1e3( "&6 -+e¯1 "2_OB,. d g e #4#IM "VB> "5 i ¡ 5&:'5+& i !T C5++&H5++Q7!$#ox>)1 &0 - >2+,.2%3X 1! -Q #%2 q e i 7! "?#I &4¯1 "2_# i *" "M.2_#I i u i 1*-20 & u /1 !Tl*-*#5+1f !2H*%C<!2;> >20 Q<&D2H,.&MV! -F C i 1#I2H>20 Q<&D$20 ",<1#I)1 &H ",>!fN</1 Q. -++ zq

F ]

Page 76: diplom - uni-mainz.de · "!$#&% ' ( *),+ -/./+ /00 1( 32547698;:= + '0 ?# [ _7` bdc e"gfivebs[\fihhqadgwzrsr@fih ]"b@f 4 ufib@qkvp n xyf]"fivqdgqevmn h xyf 7 4n vk d7pi ¹]"fih²¿.wyve[0o

+5V1k

10µ

µ 0.1

µ 0.1

13

+12V

µ 0.1

4

-12V

5

50

1ms

500ns

CAL

+5V

2k

µ 0.1

µ 0.1

SC1

8

3

2-

+

OPA1216

µ 0.1

µ 0.1

4

7

1M

PHOTOMULTIPLIER

IN

µ 0.1

µ 0.1

µ 0.1

µ 0.1

SYSTEM

ANALOG

COMMON

SYSTEM

DIGITAL

COMMON

11 13 12 17 11

+12V -12V

DGND Vee VrefVccAGND

+5V AD67618 Vdd

GROUNDING AD676:

DIGITAL

GND

ANALOG

GND

10µ µ 0.1

µ 0.1

4

8

7

6Vsg

+V

CAP

COMMON

+12V

AD584

1

2 5V

10V

µ 0.1

µ 0.19

µ 0.1

+5V16

µ 0.1

+5V16

OUT

HANDSHAKEs20µ

REF

1ms

2ms DG441

1

8

IN1

IN2

1Q

1Q

2Q

MONO 1

MONO 2

1A

8

2Q

15 14

1

67

10

1

1415

8

330n10k

5k 330n

1Q

1QMONO 1

MONO 2

1A

+5V

1k

1k

15

16

17

18

7

8

9

11

12

13

CAL

SAMPLE

DGND

Vcc

AGND

AGND SENSE

BUSY

CLK

Vin

Vref

Vee

Vdd

-12V

2A9

1B2

2B10

3

11

7

2Q

2Q

2B

9 2A

11

1B2

+5V

+5V

+5V

+5V1R

2R

1R

2R

74HC221 74HC221

3

SC2

SC1

+5V

+5V

6

1n

+5V

+5V

500

+5V

+12V

10

AD676

BIT 1-10

19

28

BIT 11-16

1

6

14

OUT

OUT

+5V

S1 D1

3 2

S2D2

6 7

+12V

-12V

10n

SC2

100

8

+5V

12

5

2

1

7

CLR

1Q

2D

3D

2Q3Q

1D

CLK

GND

Vcc

9

8

11

4

16

74HC17510MHz

13

4

5

12

5

12

4

13

+5V1

CLK

TRIGGER

SC1

SC2

INTEGRATOR

~s//+ "*8!5++QZ<`%+0H'%)?%4@'c40'7!4@

F$

Page 77: diplom - uni-mainz.de · "!$#&% ' ( *),+ -/./+ /00 1( 32547698;:= + '0 ?# [ _7` bdc e"gfivebs[\fihhqadgwzrsr@fih ]"b@f 4 ufib@qkvp n xyf]"fivqdgqevmn h xyf 7 4n vk d7pi ¹]"fih²¿.wyve[0o

2µs

TimingIntegrator

DATA

s8µ

12 µs sein,muss

ConversionTiming

TRIGGER 1

INPUT

INTEGRATOR

SAMPLE

0

1SCHALTER 2

0

CLK

BUSY

DATA OUT

HANDSHAKEzu Modul

500ns

1ms

1ms

15-100ns

600ns50ns

21 3 4 16 17

100ns

1

~1.05 ms

1.05 ms

~2 ms

(Umschaltzeit Pockelszelle)

ADC

SCHALTER 1

TRIGGER 2

~s/+/ "*>5++QZF%&9:&"4@('Lc,0'W!4@8&('*9:@'W@,('W.

F$`

Page 78: diplom - uni-mainz.de · "!$#&% ' ( *),+ -/./+ /00 1( 32547698;:= + '0 ?# [ _7` bdc e"gfivebs[\fihhqadgwzrsr@fih ]"b@f 4 ufib@qkvp n xyf]"fivqdgqevmn h xyf 7 4n vk d7pi ¹]"fih²¿.wyve[0o

BSY

MAMI

Trigger

logic

Fan In/Fan OutAND

x ms Delay NIM TTL Optokoppler Integrator

1.5 ms Delay LAM

Unit

Pattern Scaler

Events

~s/+/ "*>5++Q<¶ %4@10H'7." /1.-(4*G!$H( , A'W,!8 e i ! &X "Q< !2H*" i +M!2H Q.&62H ",.R#I)1 &0 -,>!e/1 Q< "+>2(! -f~s51#%*"$#%s51 u i +M&05++Q7!M&'e$20 qs "M&0¡ 5n3( -&DM " g `; : "2~e' L ~e'e` F?` "2 u ~Swt9|@vo ³ . @v' u 205!TUOB,<~s1$*",<Q's O> i ?#A -+Q.?#I 2H¡ 2 q1o;&e1$2e -+´e,.>OB &6#02H ",<1#I¡ M "2! &§'e2H tOB,. d g h_ #5+1*- " Q<2_#I,< "2 -®Q<TU,.&6! &H20 : &0 i zq 's -('s -Q. "26*- #I - &05+QsM&ITU,.*-Q.2_1 i > 9x&H "!J¡ -)t! &§#I5+N>¡ $#H#I "OBMt~s)+)&0,$! -2H ",< ~s1 qvo; " g `; : "2f~S' L #I2S+,.2%3:M+ "QVª5+ ! " 1$5+ "Q<NB "2;OB,< g_gMh B ¡ 5 &0&H i + q$£$#%2D#© "2; -+ &4 :5&D#I2H &XATU &0 ¡$#I)1$+>5++QJB5+ *"*-f5+1 -+ &S9x&H,.2H,.2%=!)1 >J%9;*$20 -+ &0Q/1 Vz++<#e : "2H51#%20 &|!$#e~S' L ±#e$5!Tu )1$+>5++QB# C1> &05+Q. OB,. g Y#% 1#I -20 -Ot #I2Mq;o; " 1$5+ "Q<NB "27OB,.n "1!?#I20M1#g ]x : "2NB,<+!2Ht/1 ,./1 i >20M23: &6! 5+1! "tQ<TU,.&6! &02Hn 15 "Q.NBM "2ZOB,. gWgMh B &H&0 i >23X &D> qX's 2D$ "*8#¢¡M5+&'e$20 +NB,<!OBM&020 - &05+Qn " ~e' L #I -1 " 'S20M!/+*82H25>TUQ.T C5+&02 ~s1 lq's -e'e$20 R51#%*"$#%s11!M2 C5+/1 &XYfwtokJ% . w,>!5*"f#%2D2H2 q'e.#X (r u !$#:~S' L ±#;3( "&65>TX! 5+>20 &H w,.+,1,.)t -w . . g Q< Q.M/ªMqW%#%2! "7´e,.>OB &02H " &H5++Q! &S'e2H /1 1> 2 V3( "&6 -e~ e' u e~e´fo . rS£ &0¡ M5+Q.2Mqk' "$#7#I "Q<1*- #% " &H2> Y§wtoJd .w,>!5+*lV1+Z -+e+ 5'S20M15!TUR+f/1 Q< "++M N<$+q

's -:o;*- N!2H&0,<+ "N5+1f+<#k'e$20 R5!TU1$+$#%=+#%20 #I -1f!5+& i i >q ¶ h ®*8+Q< u "Q<1*-N. J/1 *1 "2! µo;>)1 &0 - >2kOB &H/+5+1> qB's - u "Q<1*-s*85!TUM C5+/1 &X+<#: C$)!TU5+QB#0$&0´f/1 *_s !g !q

u => i +&0,<+ #% " &H2e3( "&6! -o;*- N!2H&0,<+ "N¥5!TA! "wtN>&0,<)+5+*#%[lwt~ewt^J%£&0 -Q.Q< &a6q's "?#I &3( "&6 "2_ -+ ¦OBM&05+1> 2 q<'e.# ¦ #%2; "(Y©M&0&0 - Q.M*"5++Q#I -++ -2 qMox -+Y©M&IJ5+1>5++Q -2(!M°£&0 -Q.Q< &e#%20 *-*"2#% i + & V1 -+7£¤&H "Q<Q. &H5++Q>5+&S++\#%2D$202IR1! 2MV3:M+! "7o;*" N>20&H,.+ -N¡M5+&'e2H 1$5!TU1f/ªM&0 -2: #%2 q'e<# u "Q.R*+3( -&D¡ 5+ " -Z! "9;$202H &0Zrs "2_Q. Q< /1 q u "X3( "&6!5+& i Z! -~s51#I*-J#I?#I,TU2%3|&0wto L 's~ u ´§&H= -&:$5!T4 -/ª?#I20 -Z20M#xQ<$#IM20¡ 2H$#( : "2H51#%20 &4+ -C5+/1 &H)+& C5!TU2MV+3: * i e'e$20 $51#IQ< *"$#% 3: &6! #I,<*"*- q+wto L '~ u $&0/1 "2H 2(+ - &0/1 v "

F2F

Page 79: diplom - uni-mainz.de · "!$#&% ' ( *),+ -/./+ /00 1( 32547698;:= + '0 ?# [ _7` bdc e"gfivebs[\fihhqadgwzrsr@fih ]"b@f 4 ufib@qkvp n xyf]"fivqdgqevmn h xyf 7 4n vk d7pi ¹]"fih²¿.wyve[0o

9k,<*"*" -+QJd : 2H&0 "M/VWvqkq_+<#9x&H,.Q<&D C5+/1 &0)+& C5!TU2R i n " ¯1 -20 -!2H &0O<*-*; " &3( "?! &( -+ u )1 i +M&0¡ *-*"S! &9;$202H &0!Jdrs+ -2 V>,./M " : "2!5& i .#e@v~ew [%@1,B,.N¥~A2w.aQ.$#% 20¡ 2X3(5+&D>Bq+'e<#s@v~ew°3( "&63( "e -~s/+/+ -*!5+Q<¶ &D#% i !2H*" i &6#I2: "2; -!J!$#%20 R# g q±_#'s *8?=\Q.?#I 2H¡ 25+1! -'S20M+ !5+& i wto L 's~ u 51#%Q. *-$#I zq's -$#I$#S's * = #%2f5>TUQ.&051> &f!2H Q.&62H ",.R#I¡ -2sOB,< g #s51t! &f$1# i +*- " < 1! ´e,.>OB &D#% ",<1#I¡ M "24!M&:'S20M " ~e' L ,.2%3: R! "QVb5µ/1#%,.*"52(5>T! &X#I i +M&0 u M "20¡ 5#IM "V+> "f'e$20 /1 &0 -2D#:¡ 5&~s51#I*-$#I§1#%20 +MqE\ "2H &0+ - 8#I2; -! -$#IM ¯13X "QS "O<&H $/+*"$#'s * =7OB,.:¢#¤ -+Q.M/15+2MqBw "2x! "$#% 's *8 =N.$+$Z! £¤&H "Q<Q. &H)+5+*#X!$#4!2H Q.&62H,.&D#4/1 *" - /+ "QS "! h #4wtN>&0,<)+5+*¨J#IOB &D# i + - /1 q~/+/+ "*8!5++Q ¡ "Q<27! "¡M "2H*" i +jR,<*"Q<! &£¤&H "Q.Q< & q_'sM&wt~ewt^J£&0 "Q<Q. &(NB,<Z2 i !q h q±k¢#:OB,.&( -+ « h #(wt$N!&H,.)+5*#q : OB,<&f! &7£&0 "Q<Q. &f -\! Gd>20MQ.&D$20,<&FQ< Q.M/ªM3X &D!MN<V5+Z -+En$1!*-5++Q!$#4£&0 -Q.Q.M&IJ u "Q<1*8#©OB,. e%w -£(£s@9;5+*8#I &ITU,<*"Q< VB3: -*1! &X>20 Q<&D2H,.&X!5+&X! -$#IOB &6&0/1 -20 tN<$+q;~1# i +*" - .M1* C$5!TU2+<# u -Q.1$*(!5& i -+ . )+20,<NB,.)+)+*- & qz's "J#IM&( #I2(,.2%3: R! "Q5+«o;&D+# i *" TU ¡ 5OB &H >V! "7!5+& i ¢!,.)+)1 *-207o;&D!5+QOB,<£&0 "Q<Q. &X5+1 u -Q.1$*W 1#%20 >2 q . ++ . )+2H,.NB,.))+*" &X #%2(! &|£¤&H "Q<Q. &|³'s -Q. -2D*- "QBQ!$#Sd>20MQ.&D$20,<&D#sQ< &D> 2s51.# u -Q.1$*4G! &S~s]$J u 2H&0 5N.$ &MV!$ T C$+Q.27#I i -+7ox&6+# i +*- ¨TUBq>'s5& i > . )+2H,.NB,.))+*" &(3( -&D! &' "Q. -2D$*" -+QB$+QOB,<! &Swt.#0#% >20NB,<)+)1 *"2X5+1> "fo;&D# i +*" TUe/1$#IM "20 -Q.2Mq

F$¶

Page 80: diplom - uni-mainz.de · "!$#&% ' ( *),+ -/./+ /00 1( 32547698;:= + '0 ?# [ _7` bdc e"gfivebs[\fihhqadgwzrsr@fih ]"b@f 4 ufib@qkvp n xyf]"fivqdgqevmn h xyf 7 4n vk d7pi ¹]"fih²¿.wyve[0o

-7 _ ? ;o;>)1 &0 - >24! &|´§,<*"*8/1,.&620 -,.~s]7NB,.Z2kM " gMh;i IJd£k$&0Q< 2s¡M5+µo; "1#H20¡q's &(EG.#H#I &6#I2H,mG*" "MQ.2: -¡ 3X k¯151#%2 C$1! OB,.& V . &020,JX5+19;$&D?J $q+ : . &H20+,$J #I2H + \> "´e &H1#I) "1#s)R&D$*"*- *Vv! &e&H$#I5*"20 - &0M1!7´e &01#%)+ "t/1 2H& C$Q.278( g [£&0 ")*" 2H2IJ¯151#%2DRªaDqv : 9;&6?J F#%20 t! -7´§M&01#%)+ "1#S>20 ")R&D$*"*- *V´§M&01#%)+ "¥ ( h Vª$#(1$!J! *-24#I i 5 -+ u -+Q.5+*- 202%J0¯15R#I2D$1WqB9_,.*$&0 8#I "M&0/1$&; #%2;!5&:> & . &02H+,J q's " . &IJ20,TU,.&H 8#I27! - + &HQ. "M&0 i +M&0BV1+<#¬*"M i +Q. 3( i >2(¡ 3( 8# i + G! \/ªM ! \j+,<&0 OB &6# i + " /2(#I i /1 Tl*-*" 1> &(£ )1 &6205&(¡ 5+Q.51#I2H \!$#9;&6?J q1 :M _s$5+2H J)1 &D$205+&X/1 20&?CQ.2|+.#:Y4 &H_C*-20+ 8# . &02H+, % 9;&6?J ( g V>/ªM "µ/R#I,.*-5+20Ms5+*-*")+5+N!2*" - Q.2 g h<h 9;&6?J OB,<& qv : .h ´V! &S : 20&H " /R#I20M)1 &D$205+&X5+1#IM&0$#£k$&0Q< 2D#VW*" - Q.2>q±¶ 9;&6?J 5+1 h q g ¶ . &02H+,J OB,.& e2 ] q+³o;>)1 &0 - >2;3( "&HN!2$5!T4.#EG.#0#% &D#%20,$mªJd£_&0Q< 2*"?! "Q<*" i +.#fo;&D>Q<+ 2ITUM* OB,<n ( geBg h B£eqE -)1,.*8&0 J#I - &02(3( -&D+<#s£_&HQ. 2S#I -

@1 Q<2$t "t2H+ &0 # i +$#e*" i Q. 3( i >2:T C5+&.# u )+ -1#I=#I2H ¡ 5+Q<&05+1>BV_#I,N<+$ -+( :,<*"20¡M+>JY4 &H20 -*¨5+Q©T C5+&x! " s "OB$$51#_++M+ q$' "( :?#I 2H¡ 5++Q#I¡$$+*" 5+1! "§ox &0Q< " -Q. >3:M&020S#I -1+Q.MQ. /1 ¥!5+& i %

d M!) 3 ( D = [ F?ba -2(! & :,<*"2H¡ +NB,.1#%2D$!2HsNvV1! &£_&HQ. 2H20 )1 &62H5+&£eV1! Q$J%j1$N!2H,.&Q+V+³!M&¡Jd´e,.)1,. !2Hf!$# u )+ "1#V1! ³wt$Q.+M2ITU *8 51!M³´e &0+¢Q. 20,< qj C5+&> "79k,.*8&H #0$20 -,.OB,. u )+ " g &0Q< "/+2#% i %

( t[ g a D t[ D g a¥[ g a B t[ h a B ¥[ D g a [ FM]!a

OB &H "!Tl i >24 #%2! "$#(> "f :&H "*"*-,.5+ -!JdjR5+N!2H ",< % ( ];2D$+_[WQWa

B 2D [7QWa -2 Q ( [ F?ba

s - &D$51#; &0 C$*"24$! -9k,.*8&H #0$20 -,.!?#©£_&HQ. 26#©T C5+&X+.#Xo;&D!$Q.+M2ITU *85+1 -+ &£_&0Q< 202H )1 &6205&eOB,. .h ´µ5+1t5+!2H &f : & C5 i N+#% i !2H "Q.5+Q+V1+$/1 4> "$#% &f£ )1J&D$205+& h q g ¶ . &H20+,$3|.#0#% &D#%20,$mnOB,<&0*" - Q.M %

( g .gMh [ F?`ba's -:9_,.*$&0 8#02H ",<!$#£_&HQ. 26#¤N<$+$*#I,/1 ! 7A i +>5++Q< eOB &H1 i +*dC.#0#% "Q<23: &6! q

F

Page 81: diplom - uni-mainz.de · "!$#&% ' ( *),+ -/./+ /00 1( 32547698;:= + '0 ?# [ _7` bdc e"gfivebs[\fihhqadgwzrsr@fih ]"b@f 4 ufib@qkvp n xyf]"fivqdgqevmn h xyf 7 4n vk d7pi ¹]"fih²¿.wyve[0o

\! _ ~S9©/F 7~s &0 i 1#I2H "20520f,Tx9;!=#I i #(eR!/1,B,.NvV£:+ "&6o4! -20 ",<V1w i &D 3:Jds "*-*

:,B,.N L ,<)1>=BV g F ~1 7~s1$*",<QZ's O> i $#V+'e$20 >/+*8202~S'e` F?` : i g f'q±7q± : i N %1w?.#I5&0 M!2e,$T(2H+j_* OB,.5+& u -+Q.*- 2 L 1&HQ.j+,<&0j1 i 2H,.&7,T209;&H,.20,<V > V L o4 (~ej9;&0,<)1,B#0$*s5+&x9©:J g J h!g FBV g g :M1¶ g ¬@_q : +&MVbM2* %>o;>)ªM&0 " !26*1&0?#I5+*-2D#©,<20+ KL M&0 +NB,$OBJ0@1 -Q.>2:)+&H,>!5 i ?¢/>= h<h w Y *" i 20&0,<1#© -3(2H & V SIw g h V u q1>V g <¶ g :M .`fo(q q : #%BV 2Z*lq % u ~ewt9:@vo %49&0 -2%=Ye -,.*820 -+Q\o;*" i 20&0,< u i $202H &0 -+Q\j+&0,.s=!&0,<Q. ~sR ' 5+20M&0 "5tV>9x&H )+&H ">2 V g <` 0,`] q'q 0,.&HNB V u q'q's&H *"* %A *82H "O> #I2H # i + 51>20M+ i 1 "NvV eq±Dq Js, i 1# i >5+*"26.# i + >/+5 i V> (R <¶!V g <`] j_ " < 7jk "R+¡ - &05+QB#H>20&D$Q g .`?J g .¶+V u j; <h!g VWwt$ "+¡BV g < $ ] So4~ e£ % L o4 AJ u ,TU2%3($&07¡ 5+&'s 2H N>20,.&6#I -5+*82H ",.zV.Y4 &D#% ",.>q !g V g ] &H .`7´¬qB&0 -H%rs>20 &6#I5 i !5+Q. fOB,<'s 2H N>20,.&H2H &0 8*- " e¡M5+&;o; -Q.>5++Qf$*#_´F J*",<&0 - 20M&xT C5&! "7w$#H#I5++Q! &()R&0 -2 C$2D#IOBM&0*"M20¡ R! ox*- N>20&0,<+ 1#%20&H 5+5++QV1's ¨J)+*-,.$&0/1 "2MV+wt$ "+¡BV g .` S $]2fq(EpqSe & %X9;&H "2 C2D#%OB &0*- 20¡M 1!\ : -20& CQ.\¡ 5+&¥o;*" N>20&H,.)+&H,>!5+N>20 ",<OB,.9; ",<+ V1' ")+*-,.$&0/1 "2MV>wt "¡BV g ] S < fqBEpq>e$ &MV$'q+'s&H i 1#I * %B9;$&0 "2%=7O! -,.*$20 -+Q)+ -,.Z *" i 20&H,.)+&H,>!5 i 2H ",.,T20F>5 i *- ,.zVª¯_q19;!=#q1~S..>V u q1 >g V g . S2 $]27£eqXe2H20 M& %;o;>2%3( i N!*-5++Qt -+$#s, i +*"M #I2H5++Q#dJlEn<#0#IM&D#I2H,m1Jd£k$&0Q.M2D#¢T C5& -9&0 -2 C$2D#IM!)1 &H " >2 V's ")+*-,.$&0/1 -2 V>wt -+¡BV g ] ¶GF eEpqs "* %Bw$#H#I5++Q51~s1*-=+#%f! &|9;&H "2?C2D#%OB &0*- 20¡M5++Qf "> &(B51.#% " *8.#%20 ¨J# i + u 2H&0 55++QtOB,.G)ª,<*$&0 #% " &H20 o;*"MN!2H&0,. T V_'s #H#I &H2D$20 ",<V4wt -+¡BVg <¶ F < fo(q± "+M!J%´e,<1# i 1N %WY4,.&H/1 &0 -20 R! >)ªM&0 " !2H*-*" u 2051! - tT C5+&! -Zw$#dJ#I5+Q! &\9;$&0 -2 C26#IOB &H*" 2H¡ 5++Q -p! & *<#I20 8# i + )!J u 20&H 5+5+Q+Ve' #0#% &0262H ",.zVwt -+¡BV g < M*.¶ q¤Yq M*"*"M= % KL M&0 +NB,$O\.! 82H ",.$1 "26#$)+)+*" i 2H ",<1#V9k &0Q,<n9;&H$#0#Vg <.¶

¶ h

Page 82: diplom - uni-mainz.de · "!$#&% ' ( *),+ -/./+ /00 1( 32547698;:= + '0 ?# [ _7` bdc e"gfivebs[\fihhqadgwzrsr@fih ]"b@f 4 ufib@qkvp n xyf]"fivqdgqevmn h xyf 7 4n vk d7pi ¹]"fih²¿.wyve[0o

´e*-$¶] f´q ´e*- "+N>+ i >2 %p's 2H N>20,.&H T C5+& £ "* i 1#I2H&D$+*"5+Q+V £¤ 5/++ & u 205!J! - !/C5 i & V g <¶] ´e+,¶7q+j:q>´e+,<*"* %s<! $20 -,.'s 2H i 20 -,.1w$<#I5+&H >2 V<Y©M&0*$Q ,.+E "*- = u ,.1#V u q V g <¶ ´e,B GF u q1´ C,./+ 8#V+' #0#% &0262H ",.zVªOB,<&D5R#0#I i >20*- i g GF ´e&H= 7´q+Epq1´§&H=!Q< " & %+wto L '~ u V+´e5+&H¡ -!T C5++&H5++Q+Vwt -+¡BV g @1,<) .`~q:@1,<)1$#s - D %;Y4,<&0/1 &0M "20M1! >)ªM&0 " !2H **" u 205R! " ¡ 5 ($5 -+$#9k,<*&H #H20 -,.1#%,. "20,<&D#AT C5&s -to;>)ªM&0 " !2|! &e)R&0 -2 C$2D#IOBM&0*"M20¡ R! o;*"MN!2H&0,J+ R#I20&H 5+5+Q+V1's -)+*",<&H/ªM "2 Vwt -+¡BV g <` w5R# ] 7wnq qw51#%,.*¨THVv 2f*lq %>20 &H$! 82HJ%o;+M&0Q.= u -*" )+2H,.+ i 9;&0,</ª?# . T|£:+e<!&0,<+ i s 520&D$* L 5+&0&H >2 V+9;>=+#% i #(( )1,.&H2D# !V u q g J g F?¶!V g $] S2D¶ @_qXwnq e$20 2$*q %:9;$&0 -2I=GO! -,.*$20 -+QmW i 2D# " *" i 20&0,<)+&0,>>5 i 20 -,.,Tf2H+! *-2D>[ g a(/!=Z)1,.*8&0 -¡ $ *- i 20&H,.1#V+9;>=+#q1A Ovq+' !V u q h.h V g .¶ ,O .fYq~q s,$O> "NB,$OWV1 2*q % . n20 *- i 2H&0,$3:$$N,<+2(*",B,<) i ,.&0&H i 2H ",.R#V s5 i *lq9;!=#q1 GFBV u q1.>V g . 9;1 ] 79x>=#I i *1( O> " 3'V>9;$&020 i *"?#;1Zjk - *+#VB9;$&02XDVBAMO! - 3n,T9&02H i *-(9;&0,$J)1 &02H "$#V g ] 9_,O ] 7 eq9k,$O!zV´qA -20V L q u i +,<*"¡BVzj:qk¯1 26# i +G%v£¤ -* i + 5+1\´§M&0+BV u )+&0 -+Q.M&@1 +&H/ C5 i + &MV g $] . s<! &H i + &MV u i + "+¡M * %!@1 8b5 'sM20 i 2H ",<j+,.&(9;&H i #% ",< L *-,.&0 - 2H&0=BVB!J#I2H&05+ !262H ",. "s "Q<ox &0Q<=9;!=#I i #V>E,<&0* u i - !2H ¨ i V g (,B#H h wnq 7q1A,#I >/+*"520 %9x>=#q1( O F!V u q1` g !V g < h u ,.5 < 9_q u ,<51! & %:9&0 -2%=YS ",.*82H ",. -o;*<#I2H i u i 2H20 &H "+QTU&H,. 20+\9;&0,<20,<1 sBV L o4 (~ej9x&H,.)1,B#H* s5+ &494|J g J h>g h V g g u 20 7~q u 20M "+M20¡G%v (5 -+$#f´f*",<&0 - 20M&D#e$51# :*" 5+1#I¡ -!2H "*-*" "M&01! \j1?J#IM&0*#49;&0,<20,<2I=>)T C5+&X! @15+ ",B#I -2 C$2D#I,.+ -20,.&x!$#;eo4wto u o;>)ªM&0 " !2H$#V's -)+*",<&H/ªM "2 Vs 8! *"/1 &HQ+V g £: 8.¶< @_qW£: 82H,.& % L ,<)q9x>=#q L ,.5+zq ¶>V u q `.>V g .¶. EGQ¶ F eq$En$Q.+ & %.o;>2%3( i N!*-5++Q "+?#wty*"*- &0)1,<*&H "M20 &6#ª5+1w?#0#I5+QeOB,.*-,.!JQ. -2051> "1$*" &Z5+12H&DR#IOB &6#0*- &o;*"MN!2H&0,. +)1,.*8&0 8#0$20 ",<VX's #H#I &H2D2H ",<V(wt -+¡BVg <¶ F E\,. F2F q qBE\,.+Q&%+s?2X£¤&61#TU &(j+,<&:o;+Q< "+M &D#V u q gM ]Vª@1,.Q.$V sM3 ,.&HNWVg GF2F

¶ g

Page 83: diplom - uni-mainz.de · "!$#&% ' ( *),+ -/./+ /00 1( 32547698;:= + '0 ?# [ _7` bdc e"gfivebs[\fihhqadgwzrsr@fih ]"b@f 4 ufib@qkvp n xyf]"fivqdgqevmn h xyf 7 4n vk d7pi ¹]"fih²¿.wyve[0o

s - &0 -2( &0N>* C$&07 i V+$ i \> "$#%Z~s&0/1 -2f#I *-/1#I2 C1> "QOB &ITl$.2f5+1tNB -+$1! &H *8#(! "7$+Q. Q< /1 + 5+ *"*- 5+R "*¨Tl#% "2H20 */ªM!5+2H¡ 2(1$/ªq

wt -+¡BV! >q . N>20,./1 & g <`£:+,<&D#I2H tSM*

Page 84: diplom - uni-mainz.de · "!$#&% ' ( *),+ -/./+ /00 1( 32547698;:= + '0 ?# [ _7` bdc e"gfivebs[\fihhqadgwzrsr@fih ]"b@f 4 ufib@qkvp n xyf]"fivqdgqevmn h xyf 7 4n vk d7pi ¹]"fih²¿.wyve[0o

~sZ! -$#IM& u 20M*"*"4 C, i >20X i $*"*"M+$+NB VB> "( i f3 C&0 1Z!$#_OB &0Q+Q< + $!J&0?#F5+>20 &6#I2<C5+20¡ 2H t5+1\,.++¢! "Z "&§+.#fOB &0Q+Q< + $+&$dR#I20 -205+2eT C5+&´e &0!J)+>=+#% "NZ+ i >2(#I,ZO> " * u )1ZQ.M i !2X_C2H20G%9;&0,$THq('s& q|'q©OB,<e&H&D i +$+NBt i T C5&! "¥~s+&H Q.5+Qn¡ 5! -$#I £:+M 51+<#s>20 &H$#0#%f³j+,<&020Q+Q¢! "$#% &(~&0/1 "2Mq

w -+ : 20&H 5+ &x's& qBj+&6+NZwt<.#:+NB i FT C5+&X#% "+#%2 C$1! "Q<f's 8#IN>51#0#% ",.R#I/1 &0M "2IJ# i 1 TU25+1n#% "+ ">20 1#% "OB : 20&H 5+5+Qt! &~s&0/1 -2 qdR#I/1$#I,<1! &H#IM "+#%20 26#NB,.!J#I2H&05+N>20 -OB(´e&0 -20 -N5+1Z#IM "+# i + - &;5+ &D# i C,<)1 i +M9;&0,<Q.&D$ - &0NB !2H+ #H#I;T C,.&6! &IJ20M> "$#%f~s&0/1 -2 (<.#* Q. /*" i q

i G+$+NB> &fQB¡ ~s&H/1 "26#IQ.&H5+)+)1ZOB,.9;&0,$THq_'s& q'qOB,.Ge&H&D i T C5+&7+<#FQ<5!J20¥~s&0/1 -2D#%N!*- ">Vk "R#I/1$#I,<1! &H3|&0M! "BV;3 C$+&0M1¦> &*-,.Q<Q. &H ´f?mv $#%205+1> Q.T C5++&02H 's 8#IN>51#0#% ",<+ V_ "&3( "$!M& -+3( -*"*-NB,.Z +7~s/>3: i 1#%*"5++Q -rs ¨J~s*-*"2D$Q+q

u -,.´ C,</+ #(5+1's& qW7q u 20 )1 C, i !2Hs i T C5+&( -+&0fQ<&0,.<Zrs>20 &6#I2 C520¡ 5+Q/ªM " (5!$#d>20MQ.&D$20,<&D#4+NB q . ++( -+&0´e !2H+ #H#I:51 "*¨Tl#%/1 &0 -2D# i 1 TU2k3 C$&0!M& (5!?#s>20 Q<&D2H,.&6#: "! &(N>5+&0¡M t¯1 "2|#I i + &X+ i >2: C,<Q.*" i ZQ.M3:$#% q

s,<*"Q.M&_s,TU$+7+NB© i eT C5+&! -( u i *NbTU5+</1 &D$205++Q< *( -f20 i ++ 8# i + fj+&D$Q. zq

:$#%,.1!M&0 &z'e+NSQ. "*-2_! (Q.*- 5+ C$@15+Q<Q. - *X~s -* i $&¤@1,<)1$#x - D©T C5+&_! -;*$+Q C+&H ¨JQ.@1,<Q.Q< &0+M "2 V,<++Z! - "&+<# u 2051> "5+ ! &f9;>=+#% "N#I i +M&s+ i >2S#I,O! - *jR&H 51!/1 &0M "20M2: C$2020q

'e$+NB C, i !2H i $5 i ! E\ &0N#I2?C2H20 !$#ZdR#I20 -205+26#VX! " " &7#I +&Z+ -*¨Tl#dJ/1 &0M "2f5+1Q<$!5+*8! "Q3($&0 n51n#I i \5+ "# i + *"*-Z~s51#dT C5+&05+Qt! &~s5!TU2H&$CQ</1 GC5+>20Mq u 2H *"*-OB &02H&0 2H 1#I - f+ "M&_s &0& u i >3: -N!R&D>2W5+17s &H&;@15+¡ "5R#¤Q< 1!2MV#I,$3( - &0& u i !2X!M&! t9;&H,.20,<2%=!)1 !$#e@15+ -+,B#% "2?C2D#%,. "20,<&D#;TU &02H "Q.2HBq

S+¡\/1$#I,<1! &6#/1$+$+NB C, i >20 i i /1 S " ox*-20 &HVX! " "&! "?#I$#u 2H51! "5 C5+/1 &H15)+2 &D#%2 &H C,.Q<*" i >2e1$/ªMV;/1 :M "+ &§jR&H 5+1> "G´F$2 D T C5+& -+&0Q.&H,.<rs>20 &6#I2 C5+20¡ 5+Q5+Rs -*¨TU "*-*" @1M/ªM1#I*8Q.MV1#I,$3( "f/1 _$*"*"MV+! -e -&:> C,<20 "Q< ~s51#%Q.*"M i ¡ 5+&9;>=+#% "NOB &6# i 1?mv2H q

¶.