7장양자역학의기초bh.knu.ac.kr/~ilrhee/lecture/genphys/ch7-modern.pdf · 2018-07-16 ·...
TRANSCRIPT
-
7
-
1814 Fraunhofer:
1831 Faraday: ,
1864 Maxwell: (Maxwell Equations)
1879 Stefan:
1879 J.J. Thomson:
1884 Boltzmann: Maxwell
1886
1888 Hertz:
1893 Wien: ,
1895 Balmer: ()
1895 Roentgen: X-
1896 Becquerrel:
Angstrom
Faraday
-
1900 Planck: ,
1905 Einstein: Planck
1913 Bohr:
1912 Bragg: X-
1924 de Brogile:
1925 Pauli:
1926 Schrodinger:
1927 Heisenberg:
1927 Davisson, Germer:
Bragg, father and son Davisson and GermerHertz
-
Nobel 1901 Roentgen: X-
1903 Becquerrel, Curie:
1904 Rayleigh:
1906 J.J. Thomson:
1909 Marconi:
1912 Wien:
1913 Onnes:
1914 Laue: X- , Laue
1915 Bragg: X- ,
1918 Planck:
1921 Einstein:
1922 Bohr:
Roentgen, Becquerrel, Onnes
-
1929 de Brogile:
1932 Heisenberg:
1933 Schroedinger, Dirac:
1935 Chadwick:
1936 Anderson:
1938 Fermi:
1945 Pauli:
1949 Yukawa:
1956 Schkley, Bardeen, Brattain: , FET
1957 C.N. Yang, T.D. Lee:
1972 Bardeen, Cooper, Schriefer:
1976 Richter, C.C. Ting: J
Pauli
Fermi
-
1.
-
-
-
-
2 (slit)
-
: f hf
: hf0 nhf0
1900, Planck:
-
: (mode)
:
:
(Rayleigh, Jeans)
-
Plancks idea:
-
[] f=2.45GHz eV?
Photon (, )
-
1905 Einstein
-Planck
-
-
-:
(=0)
-
-
-
-
-
Einstein: (E=hf)
:
:
-
[] Na (work function) 2.5eV.
? 200nm
? ?
() 0 .
0 .
-
Compton Scattering (1923 Compton )
Compton lab. in Wash. U.
-
:
-
:
-
-
- =hf
- =hf/c
-
Compton
-Compton
-
(duality of Light)
-( ) Maxwell ()
-
- , Compton
-
(, )
Maxwell
-
2.
1923 de Brogile (matter wave)
-
[] 100V . de Brogile
?
() . eV
, .
-
Bragg Father and sonNobel prize 1915
-
Constructive Interference
Destructive Interference
-
Rosalind Frankin
(1920-1958)
1920 pioneering biochemist Rosalind Franklin, took 1st XRD photos of DNA
-
1927 Davisson-Germer
-
(V=54V):
:
m, v de Brogile .
-
- .
-
-
Davisson-Germer
-
Bohr
(1)
Rutherford (1911)
Thompson Rutherford
-
Rutherford
-
-
(2)
-
( )
-
- (line)
-
Bohr (Postulate, 1913)
(1) ( )
:
(2)
(Planck , ).
-
:
:
:
:
-
Bohr
de Brogile
. .
-
[] ni=10 nf=3
?
() .
.
-
[] Lyman
.
() Lyman .
.
.
.
.
-
(1)
100km/hr
1/5
1,000kg
10 kg-30
.
-
(2) (box )
.
box
-
(n=1):
100g 50cm
(n=1):
.
-
3.
Heisenberg
The more precisely the position is determined,
the less precisely the momentum is known
in this instant, and vice versa.
--Heisenberg, uncertainty paper, 1927
-
[] 1 .
eV?
-
4. Schrdinger
-
Schrdinger
(1) 1 : :
;
(2)
de Brogile
.
-
[] L . Schrdinger
.
V 0
-
-Bohr Newton
-Schrdinger
-Schrdinger
-
Tunneling Electron Cloud
-
STM, AFM Tunneling effect
Tunnel Diode
-
Schrdinger
: ;
: ; (shape of orbital)
: ; (orientation of orbital)
: ; Dirac , , up, down
4
-
in spherical coordinates
-
1. Principal Quantum number: n-any positive integer-the larger n, the higher the energy level-max. number of electrons in energy level n is 2n2
2. Azimuthal Quantum number: l-subshell (sublevel) within each principal quantum number
-for any given l, integer in the range of 0 to (n-1)-subshells l =0,1,2,3 are known as the s,p,d subshells
3. Magnetic Quantum number: ml-specifies the particular orbital within a subshell where
an electron is highly likely to be found at a given point in time-all integer from - l to l.
4. Spin Quantum number: ms-any electron can only one of two values for the spin quantum number
Quantum Numbers
-
Energy Level (State)
Quantum state: (n, l, ml, ms)compare: an energy state of hydrogen atom is determined
by a quantum number n
Pauli exclusion principle: two electrons can not occupy the same state
-
Orbital
A subshell where an electron is highly likely to be found at a given point in time
nlx n: energy level; principal quantum number
l: sublevel; azimuthal quantum numberx : number of electrons filled (ml, ms)
Example; 2p4 : There are 4 electrons in the second (p) sublevel
of the second principal energy level (n=2)
-
s-Orbital
Two electron are needed to fill any s-orbital
-
p-Orbital
Six electron are needed to fill any p-orbital
-
d-Orbital
Ten electron are needed to fill any d-orbital
-
Filling orbitals
-
1 : H (1s1, alkali , H+ ),
He (1s2 , , )
2: Li (1s2 2s1, alkali )
Be (1s2 2s2, alkaline earth metal , Be+2 )
6(Z=5 10) 2p .
Z=9 F 2p 5
(F- , Halogen , alkali )
Ne 2p 2s2 2p6
-
3 : Z=11 Z=18 8 2 3s 3p
Z=11 Na alkali , Z=17 Cl halogen . Ar 3s2 3p6
4: 4s, 3d, 4p .
4s 3d .
Z=19 (K), Z=20 (Ca) 4s 2 .
Z=21 Z=30 3d .
4s2 . .
Z=31(Ga) 4p
Z=36(Kr) 4p . 4s2 4p6
5: 4 . 5s, 4d, 5p . Xe : 5s2 5p6
-
6: 6s, 4f, 5d .
Z=55(Cs), Z=56(Ba) 6s .
4f, 5d, 6s 6s 5d 4f .
. Lanthanide
4f 5d (Z=92, Hf Z=80, Hg) .
Z=85(Tl) Z=85(At) 6p Z=86 (Rn, 6s2 6p6 ).
7: 7s, 5f, 6d . 5f Z=89(Ac) Z=103(Lr)
. Actinide
-
He
NeArKr
Xe
Rn
H
LiNa
K
-
,
[MeV]
Leptons
electron, e 0.511 1/2 -1 1887
muon, m 105.66 1/2 -1 1939
tau, t 1,784.2 1/2 -1 1975
electron's neutrino, ne 0 1/2 0 1956
muon's neutrino, nm 0 1/2 0 1961
tau's neutrino, nt 0 1/2 0 2000
-
Hadron
Meson
pion,
po 134.96 0 0 1951
p+ 139.57 0 +1 1946
p - 139.57 0 -1 1946
kaon, K
K+ 493.8 0 +1 1949
K- 493.8 0 -1 1949
Ko 493.8 0 0 1951
rho, r
r+ 776 1 +1 1961
r- 776 1 -1 1961
ro 776 1 0 1961
eta, h 548.8 0 0 1961
Baryon
nucleonproton, p 938.26 1/2 +1 1919
neutron, n 939.55 1/2 0 1932
sigma
S+ 1,189.4 1/2 +1 1953
So 1,192.5 1/2 0 1957
S- 1,197.4 1/2 -1 1953
Xi, XXo 1,315 1/2 0 1959
X- 1,321.3 1/2 -1 1953
omega, W- 1,673 3/2 -1 1964
lambda, Lo 1,115.6 1/2 0 1951
-
quark
meson
po
p+
p-
K+
K-
h
baryon
p
n
Lo
S+
S0
S-
-
(range)
Force mediator ( )
[GeV]
(strong interaction)1 ~1 fm gluon 0 0 1
(weak interaction)10-9 ~0.001 fm
W+, W-,
Zo
80.4,
91.21, 0 1
(electromagnetic)1/137 Long ( ) photon 0 0 1
(gravitational) 10-38 Long ( ) graviton 0 0 2
-
[GeV]
Quarks
up quark, u 1/2 2/3 0.005 1968
charm quark, c 1/2 2/3 1.4 1974
top quark, t 1/2 2/3 174 1995
down quark, d 1/2 -1/3 0.009 1968
strange quark, s 1/2 -1/3 0.17 1968
bottom quark, b 1/2 -1/3 4.4 1979
[MeV]
Leptons
electron 1/2 -1 0.511
muon 1/2 -1 105.66
tau 1/2 -1 1984.2
electron's neutrino 1/2 0 0?
muon's neutrino 1/2 0
-
[GeV]
Force
mediator
Graviton 2 0 0 (not yet detected)
Photon 1 0 0
Gluon 1 0 0
W+ 1 +1 80
W- 1 -1 80
Zo 1 0 91
Higgs 0 0 125
- http://www.google.co.kr/url?sa=i&rct=j&q=&esrc=s&source=images&cd=&cad=rja&uact=8&ved=2ahUKEwjHpvHw9pjcAhWFlJQKHRuyCukQjRx6BAgBEAU&url=http://www.mulhak.com/%D8%A5%D8%A8%D9%86%D8%A9-%D8%A7%D9%84%D9%80-8-%D8%B3%D9%86%D9%88%D8%A7%D8%AA-%D8%AA%D9%86%D8%A7%D9%84-%D8%AC%D8%A7%D8%A6%D8%B2%D8%A9-%D9%81%D9%8A-%D8%A7%D9%84%D9%81%D9%8A%D8%B2%D9%8A%D8%A7%D8%A1/&psig=AOvVaw3THbkvOAiVXsdvJ-ke6CiS&ust=1531463129964904http://www.google.co.kr/url?sa=i&rct=j&q=&esrc=s&source=images&cd=&cad=rja&uact=8&ved=2ahUKEwjHpvHw9pjcAhWFlJQKHRuyCukQjRx6BAgBEAU&url=http://www.mulhak.com/%D8%A5%D8%A8%D9%86%D8%A9-%D8%A7%D9%84%D9%80-8-%D8%B3%D9%86%D9%88%D8%A7%D8%AA-%D8%AA%D9%86%D8%A7%D9%84-%D8%AC%D8%A7%D8%A6%D8%B2%D8%A9-%D9%81%D9%8A-%D8%A7%D9%84%D9%81%D9%8A%D8%B2%D9%8A%D8%A7%D8%A1/&psig=AOvVaw3THbkvOAiVXsdvJ-ke6CiS&ust=1531463129964904
-
Rutherford (1911)
30fm
-
- 4- 2( 2) 1( 1) 2 4
-1931 Chadwick -
Chadwick
-
: meson(pion) . 1947 pion
-
XZ
AMass Number: A=Z+N
A40 : N>Z
Stable Nuclei
:
Ex)
Becquerel
-
:
-
a
b
-
g
-
: 1850: 280:
Curie
-
: -
:
: u ; 12 1/12
Ex)
-
Half Life
t
-
. 1,600 . .
(a) . (b) t=0 31018
t=0 . (c) 2,000 ?
(a)
(b)
(c)
-
K-Ar , U-Pb , 14
. 40Ar 40K 11 . 40K
12.5 40K 40Ar .
.
() 40K No. 40K
40Ar 40K 40Ar
40K. No
-
14C/12C=1.3 x 10-12
t =5730 years
Decay rate: R0=lN0=181 decays/min
t=0.693/l
Number of 14C in 1mole of carbon in air
N0=1.3 x 10-12 NA
14C-dating
Ratio of 14C to 12C in air
Half-life of 14C
-
R(t)=R0 e-lt
Example
Measured decay rate of 1 mole carbon sample
from ancient bone=30 decays/min
t= -1/l ln R/R0
t=14,856 years
-
Radionuclide generation
(1) Cyclotron
201Tl, 123I, 67Ga, 111In, 18F, 15O, 57Co
Bombarding particles: p, d (2H), 3H, 3He
Typical decay: b+, electron capture
127I (p, 5n) 123Xe 123I
124Xe (p, 2n) 123Gs 123Xe 123I109Ag (a, 2n) 111In111Cd (p, n) 111In56Fe (d, n) 57Co203Tl (p, 3n) 201Pb 201Tl
electron capture or b+
electron capture or b+
electron capture
electron capture
2 hrs
1sec 2 hrs
9.4 hrs
-
. Dee . Dee +/- Dee .
-
(2) Nuclear Reactor (fission)
99Mo, 123I, 133Xe
bombarding particle: n
typical decay: b-
134Sn235U + nthermal + 3nfast + g + ~200MeV
99Mo
235U + nthermal99Mo + 134Sn + 3n
-
(3) Nuclear Reactor (neutron capture)
32P, 51Cr, 125I, 89Sr, 153Sm
typical decay: b-
31P (n, g) 32P (14.3 days)50Cr (n, g) 51Cr (27.8 days)
124Xe (n, g) 125Xe 125I
electron capture or b+
17 hrs
-
(4) Radionuclide generator
99Tcm, 81Krm, 68Ga, 82Rb
typical decay: several modes
-
Technetium (SPECT 85% )
(Saline solution) Tc Mo
-
Geiger Counter (Metallic Gas Discharge Tube)
- - -
-
Scintillation Counter
Scintillator :
-
Radiation Dose-Units of Radioactivity
RBE: The Relative Biological Effectiveness
rem: Radiation Equivalent Man
rem=RBE x rad
-
[] 8.
5mCi .
4mCi . .
[] 10 100mCi . 5 45
?
-
Radiation RBE
g-ray, x-ray, b-particles 1.0
Fast neutrons and protons 10
Slow neutrons 4~5
a-particles 10~20
RBE (Relative Biological Effectiveness)
-
g rays on the patient per second: 1% of radiation
= 6.8 x 1012 [1/sec]
Half-layer value of a 1 MeV g rays in tissue = 10cm
Thus, half of radiation is absorbed by the patient body
g rays absorbed by the body =3.4 x 1012 [1/sec]
The energy absorbed per kg per second
3.4 x 1012 1/sec 1.25 MeV(average energy of g rays )/60kg=1.1 x 10-2 J/kg sec =1.1 rad/sec
30 sec exposure: 33rad (whole body dose)
Ch7-Modern-1Ch7-Modern-2