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YUASA IONICS Contents はじめに 種々の機能性材料 細孔の定義と大きさの分類 測定法との関係 ガス吸着法 測定手法(容量法,重量法,流動法) 吸着等温線の分類 吸着と脱着(脱離)のヒステリシス(吸着プロセス) 吸着理論・吸着等温線の解析方法 比表面積解析(BET理論) メソ細孔~マクロ細孔分布解析(BJH法) ミクロ細孔~メソ細孔分布解析(NLDFT

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  • YUASA IONICS

    Contents

    BET

    BJH

    NLDFT

  • YUASA IONICS

  • YUASA IONICS

    0.1nm 1nm 10nm 100nm 1m 10m 100m 1mm

    0.3 nm 2 nm

    0.4 nm

    3 nm 950 m

    200 nm

    1mm

    200 nm

    1 nm 100 m

    100 m10 nm

    500nm

    2 mm70 m

    Ni Au

    (Wet)

    MR

    MR

    (Dry)

    200 nm

    0.1nm 1nm 10nm 100nm 1m 10m 100m 1mm0.1nm 1nm 10nm 100nm 1m 10m 100m 1mm

    0.3 nm 2 nm

    0.4 nm

    3 nm 950 m

    200 nm

    1mm

    200 nm

    1 nm 100 m

    100 m10 nm

    500nm

    2 mm70 m

    Ni Au

    (Wet)

    MR

    MR

    (Dry)

    200 nm

  • YUASA IONICS

    IUPAC

    .

    .

    MSCACF

    MCM-41FSM-16SBA-15

  • YUASA IONICS

    IUPAC

    w

    d

    closed pore

    ink-bottle type pore

    inter-connected pore

    blind pore

    pore

    through pore

    w

    d >> w w d

  • YUASA IONICS

    IUPACISO

    BET N2Kr

    Washburn Hg

    BJHDFT N2

    HKSFDFT N2ArCO2

    Boyle He

    3

  • YUASA IONICS

  • YUASA IONICS

  • YUASA IONICS

    physisorption chemisorption

    1

    2

    TTc

    3

    40 kJ/mol

    50200 k/mol

    4

    5

    6

    7

  • YUASA IONICS

    Autosorb-1

  • YUASA IONICS

    Autosorb-1

    Manifold

    Turbo

    Pump

    Diaphragm

    Pump

    0-1000Torr

    0-10Torr

    0-1Torr

    Pirani

    Trap

    Mantle Heater

    P Po

    LN2

    LN2

  • YUASA IONICS

    NOVA e

  • YUASA IONICS

    NOVA e

    0-1000Torr

    Rotary

    Pump

    Manifold

    Vent

    P1 P2 P3 P4Mantle Heater

    LN2

  • YUASA IONICS

    Quadrasorb SI

  • YUASA IONICS

    Quadrasorb SI

    Rotary

    Pump

    Utility

    Vent

    LN2

    M4M3M2M1

    Turbo

    Pump

    0-1000Torr

    0-10Torr

    Turbo

    Pump

    Option

    FloVac DegasserAutosorb DegasserMaster Prep

  • YUASA IONICS

    Pump

    L-R L-S

    Vent

    0-1000Torr

    20MPa

  • YUASA IONICS

    Monosorb

  • YUASA IONICS

    Monosorb

    DA

    DB

    Po

    1

    2

    3

    4

    (25PSI)

    DA

    DB

    Po

    1

    2

    3

    4

    (25PSI)

  • YUASA IONICS

    IUPAC

    I IV

    II V IV

    III II

    VI

  • YUASA IONICS

    MCM-41 KHA-B916

    2 2

  • YUASA IONICS

  • YUASA IONICS

    Langmuir

    BET BETIUPAC

    t-plot, s st-

    DR

    BJH, DH BJHIUPAC

    MP t-plot

    DA, HK, SF HK=SF=

    NLDFT

    MC

    FHH, NK

  • YUASA IONICS

    b) (P/P

    0=0.3)

    d) (P/P

    0=0.995)

    c) /P/P

    0=0.7

    a)

    b) (P/P

    0=0.3)

    d) (P/P

    0=0.995)

    c) /P/P

    0=0.7

    a)

    0

    50

    100

    150

    200

    250

    300

    350

    0.0 0.2 0.4 0.6 0.8 1.0

    Relative Pressure (P/Po)

    Volu

    me (

    cm

    3-S

    TP

    /g)

    Adsorption

    Desorption

    (20500)

    (20)

    (500)

    c) BJH

    b) BET

    d)

    a)

    0

    50

    100

    150

    200

    250

    300

    350

    0.0 0.2 0.4 0.6 0.8 1.0

    Relative Pressure (P/Po)

    Volu

    me (

    cm

    3-S

    TP

    /g)

    Adsorption

    Desorption

    (20500)

    (20500)

    (20)

    (20)

    (500)

    (500)

    c) BJH

    b) BET

    d)

    a)

  • YUASA IONICS

    BET

    CVPo

    P

    CV

    C

    PPoV mm

    11

    ]1)/[(

    1

    P Po V PVm

    C 0

    BETP V

    BET

    CV

    Cs

    m

    1

    CVi

    m

    1

    0.05P/Po0.35 P/Po0.1 = 0.9999 = 1/(VmC) 0

    BET

  • YUASA IONICS

    BET

    BET

    P/Po=0.050.35BET=510 m2/g

    P/Po=0.010.1BET=630 m2/g

  • YUASA IONICS

    Kelvin

    t

    rk

    rm

    )(2 trD k

    Kelvin)/ln(

    2

    PoPRT

    Vr mk

    D

    98.2)/(45.6)/(88.0 2 PoPPoP

    21

    034.0)/log(

    99.13

    PPode Boer

    21

    034.0)/log(

    99.13

    PPode Boer

    31

    )/log(303.2

    554.3

    PPoHalsey

    31

    )/log(303.2

    554.3

    PPoHalsey

    Carbon Black

    t []

    t []

    t []

    N2

    )/log(

    148.4

    PPork

    N2

    )/log(

    148.4

    PPork

    DD

    rk KelvinVm (=0)

  • YUASA IONICS

    BJH

    , t

    2 r k

    2 r

    P/P0 r k [] t [] P/P0 r k [] t []

    0.100 4.1 3.7 16 0.9720 336 17.4 700

    0.188 5.7 4.3 20 0.9753 382 17.7 800

    0.584 17.8 7.2 50 0.9782 433 17.9 900

    0.787 39.9 10.1 100 0.9804 483 18.1 1000

    0.896 87.0 13.1 200 0.9903 980 19.1 2000

    0.9600 234 16.4 500 0.9936 1488 19.5 3000

    0.9670 285 17.0 600 0.9950 1905 19.7 3850

    P/Pode Boer

    /

    0.0

    0.4

    0.8

    1.2

    1.6

    2.0

    1.0E+01 1.0E+02 1.0E+03 1.0E+04

    Pore Diameter()

    (cc/g

    )

    0.0

    2.0

    4.0

    6.0

    8.0

    10.0

    Dv(log d

    )

  • YUASA IONICS

    w

    Horvath-Kawazoe (HK) Method

    Active Carbon, Clay

    w

    Saito-Foley (SF) Method

    Zeolite, Silica gel, Nonotube

    /electrostatic attraction / repulsion interaction

  • YUASA IONICS

    P/P0 = 10-7 P/P0 = 10-7

    P/P0 = 10-3P/P0 = 10-3 P/P0 = 10

    -2P/P0 = 10-2

    P/P0 = 10-4P/P0 = 10-4

    P/P0 = 10-5

  • YUASA IONICS

    SF(Saito-Foley) / SFHK SF

    10

    P/P0=10-7.

    SF

    10 or .

    SF

    10 or .

    SF Dv(d )

    .

    SF Dv(d )

    .

  • YUASA IONICS

    NLDFT

    BJH Kelvin2 nm

    MP 0.7 nm

    HK 0.7 nm

    SF 0.7 nm

    DFT /

    NLDFTN2 Ar CO2

  • YUASA IONICS

    DFT

    DFT NLDFT

    )]r()[r(r)]r([)]r([ extUdF

    wallspore theby imposed Potential:(r)

    density fluid Local:(r)

    energy free Helmholtzr

    functional potential Grandr

    extU

    F

    :)]([

    :)]([

    Ref.) Ravikovitch,P.I, Langmuir, 11, 4765 (1995)

  • YUASA IONICS

    NLDFTBJH

    0.00

    0.05

    0.10

    0.15

    0.20

    0.25

    1 10 100

    [nm]

    dV

    /dD

    BJH

    NLDFT

    0.0

    0.5

    1.0

    1.5

    2.0

    1 10 100

    [nm]

    [cc/g

    ]

    BJH

    NLDFT

    BJHXRDTEM

    MCM-41

  • YUASA IONICS

    NLDFT

    Ref.) Alexander V. Neimark, New method for zeolites characterization,

    TRI/Prinston release, 02/05/2001

    87KArMCM-41ZSM-5

    50-50%

    ZSM-5&MCM-4150-50%

  • YUASA IONICS

    NLDFTNLDFT method Pore size range

    (Diameter)

    N2-silica at 77K based on a cylindrical pore model 0.35 80 nm

    Ar-zeolite/silica at 87K based on a cylindrical pore model 0.35 80 nm

    Ar-zeolite/silica at 87K based on a sphrical/cylindrical pore model 0.35 80 nm

    N2-carbon at 77K based on a slit pore model 0.35 30 nm

    N2-carbon at 77K based on a cylinderical pore model 0.35 30 nm

    Ar-carbon at 77K based on a slit pore model 0.35 30 nm

    CO2-carbon at 273K based on a slit pore model 0.35 1.5 nm

    NLDFT

    2 nm XRDTEM