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九州大学 酒井 2004/12/16 単結晶X線構造解析入門 九州大学 大学院理学研究院 化学部門 教授 酒井 健 平成16年12月

単結晶X線構造解析入門 - 九州大学 理・化学 · 2016-04-12 · 九州大学 酒井 2004/12/16 単結晶X線構造解析入門 九州大学 大学院理学研究院

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  • 2004/12/16

  • 1

    single crystal

    twin

    1.1 0.96

    0.1x0.1x0.1 0.3x0.3x0.3 mm

    12 mm

  • 2

    K

    Mo K0.71073 K1 K2

    K

    X-ray beam

  • 3

    X-ray diffractionscattering

    (h)

    2

    X

    Z

    2=0

    diffuse scattering

    X

    X

    (Braggs law)

    2

    (Z)

    X

    H

    C

    10

    23456789

    10

    O

    1211

    131415161718

    Cl

    Figure 20.

    ddsin

    A

    B

  • 4

    2dsin

    0.71073

    2dsin

    n=1

    n=1,2,3,..

    h k l

    n=1,2,3,,,

    2

    sin/

    2

    2

    2dsin = n (n=1,2,3,...) (Bragg's Equation) ()

    2

    a

    b

    0

    M

    M

    M

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    M M M M M M M M

    M M M M M M M M

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  • 5

    ++++

    ( 0 1 ) ( 1 1 ) ( 1 2 ) ( 1 3 )

    n=1

    h k l

    x

    y

    0

    M

    M

    M

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    M M M M M M M M

    M M M M M M M M

    M

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    M

    M

    M

    M

    a

    b

    x=a y=b (x=a/1, y=b/1) ( 1 1 )

    d

    x

    y

    0

    M

    M

    M

    M

    M

    M

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    M

    M M M M M M M M

    M M M M M M M M

    M

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    M

    M

    M

    M

    M

    M

    a

    b

    x=a y=b/2 (x=a/1, y=b/2) ( 1 2 )

    y=b/2

    d

    x

    y

    0

    M

    M

    M

    M

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    M M M M M M M M

    M M M M M M M M

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    a

    b

    y=b ( 01 )

    d

    x

    y

    0

    M

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    M M M M M M M M

    M M M M M M M M

    M

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    M

    M

    M

    a

    b

    x=a y=b/3 (x=a/1, y=b/3) ( 1 3 )

    y=b/3

    d

  • 6

    h k l -1

    h k l

    Structure Factor

    Fo observed

    Fc I=|Fo|2

    h k l Fo Fc

    Fo F(h k l)

    0 a

    c

    b

    x1a

    z1cy1c

    (x1, y1, z1)

    0 a

    b

    c

  • 7

    fjh k l

    h k l

    TjB11,B22,B33,B12,B23,B13

    parameters per

    atomXYZBeq; 9 parameters per atom: XYZB11B22B33B12B23B13

    XYZUeq, XYZU11U22U33U12U23U13

    exponential j h

    k l F(h k l)

    h k l

    XYZU11U22U33U12U23U13

    F(h k l) = fjTjexp{2i(hxj+kyj+lzj)}j (1)

    B11 B12 B13B12 B22 B23B13 B23 B33

    Tj = exp{-(h2B11+k

    2B22+l2B33+2klB23+2lhB31+2hkB12))} (2)

    ()

    R1 = (3) (|Fo|-Fc|)

    (|Fo|) x 100 (%)

  • 8

    Reliability Factor, 1

    10

    (X, Y, Z) (X, Y, Z) F(h k l)

    h k l o

    -1

    (x, y, z) =h k l

    (4)V1 F(h k l)exp{-2i(hx+ky+lz)}

    O2

    O1

    Pt

    O3

    O4

    O1*O3*

    Pt* O2*O4*

    h k l Fo (Fo)XYZU11U22U33U23U13U12

    atom X Y Z U11Pt 0.016424 0.994173 0.363648 0.0397O1 0.076123 0.887084 0.344977 0.05416O2 -0.05577 0.895159 0.334312 0.05374O3 0.15537 0.763549 0.543312 0.04975O4 0.172814 0.543615 0.773102 0.09682

    U22 U33 U23 U13 U120.03118 0.03894 -0.0034 0.01041 0.001270.04998 0.06374 -0.0056 0.01443 0.010550.04131 0.05051 -0.00948 0.01848 -0.01050.04376 0.04983 -0.00887 0.01744 -0.00990.09404 0.14115 -0.00538 0.04084 0.02225

    h k l Fo (Fo)-1 -1 4 810.76 12-1 1 4 820.73 12.4-1 -1 3 135.96 4.05-1 1 3 133.64 4.06-1 -1 2 26.11 1.46-1 1 2 27.41 1.53-1 1 1 2.46 0.411 1 -1 2.3 0.41-1 1 0 797.74 8.97 -15 -13 10 5.69 2.88

  • 9

    Fo

    Fo Fo2(Fo2)

    PtO4

    1

    asymmetric unit(

    )

    a,b,c,,,

    hkl Fo Fo

    (Fo) Fo Fo2

    (Fo2)

    cm-1

    Fo

    Fo

    Fo

  • 10

    Heavy Atom Method

    PtO3N2C6H12 (fw=355)

    PtO3N2C6H12V=491 3 d=2.4 g/cm3

    Z=2 PtO3N2C6H12

    Z=2.4X6.02X1023X491X10-24/355=1.998

    (1)x, y, z (2) x, -y, -z

    P1- (No.2)

    Fo Fourier Synthesis

    difference Fourier

    synthesis

    Fc

    Direct Method

    1 e/A3

    1.0

    QTAM (Quantum Theory of Atoms in Molecules)

    Oak Ridge

  • 11

    Johnson

    Oak Ridge Thermal Ellipsoid Plot program

    Fo Fc scaling factor

    Flack Parameter

    []

    Shelx97 KenX

    Molecular Structure teXsan

    Crystan G, SHELXTL

    Sheldrick Shelx97

    Shelx97

    SHELXTL Sheldrick

    Shelxl97 Shelxl97

    Shelx97

    (GUI)

    KenX Shelx97 Shelxs97 Shelxl97

    s Structure Solution Solution

    s l least-squares

    refeinment l Shelxh.exe

    Shelx97 Sheldrick

    KenX HP

    Email

  • 12

    C:

    solve.ins solve.hkl( HP )[cntrl]+[C]

    [cntrl]+[V]

    solve.hkl [cntrl]+[C][cntrl]+[V]

    solve.hkl

    [F2]test1.hkl

    solve.hkl

    5005

    H3NPtIII

    N

    H3N N

    H3NPtIII

    O

    H3N O

    Cl

    Cl(NO3

    -)2

    Pt Cl O N C H

    2+

    [Pt(III)2(NH3)4(C4H6NO)2Cl2](NO3)2

    1) TITL [Pt2(NH3)4(C4H6NO)2Cl2](NO3)2 in P1- (No.2)2) CELL 0.71073 10.1143 11.9883 8.7891 100.822 95.955 79.6073) ZERR ? 0.0017 0.0025 0.0016 0.015 0.015 0.0144) LATT 15) SFAC C H N O CL PT6) UNIT ? ? ? ? ? ?7) PATT8) HKLF 49) END

    TITLP1

    1)

    2)CELLa, b, c,, ,

    3)ZERR?a, b, c,, ,

    LATT 1No.2 -x,-y,-zLATT

    4)

    SFACScattering FACtor

    5)

    UNITUNIT_CELLSFAC

    6)

    PATTPatterson()PATTTREF

    7)

    Fo2

  • 13

    5004 h, k, l, Fo2, s(Fo2)

    solve.ins

    Shelxs.exe

    Pt(III)2solve.ins

    [File][]

    WSXS97.EXE

    solve

    c:

    solve.ORT

    Shelxs97

    solve.ins

    [NO][OK]

    solve.res

  • 14

    [][]

    test1.ins .hkl .ins

    test1.hkl

    [] test1.ins Shelxl97

    test1

    test1.ins

    solve.ins

    WSXS97.EXE

    (Solution) WSXL97.EXE (Least-Squares)

    L.S. 4 BOND FMAP 2 PLAN 20

    FoFc

    test1.lst

    Difference Fourier Synthesis, D

    Q1...Q20test1.insQ

    PT1 6 0.14312 0.18785 0.35814 11.00000 0.04 ............CL6 5 0.16200 0.12323 0.22763 11.00000 0.04 ......

    SFACSFAC

    X Y Z sof Ueq

    (site occupancy factor)*

    *

  • 15

    jobname test1

    Overwrite .INS?[]

    test1.ins

    Fo>4S(Fo)0.1312

    13.12

    e/3

    [] [] [OK]

    text1.ins

    KenX KenX

    *.ins []

    [File][Open_*.ins/*.res/backups]test1.ins

    [MovePks]

  • 16

    [Name][Name]

    [Apply]

    Mouse_Down_Move

    [Rotate][Name]

    [Name][Apply]

    [Rotate][Delete]

    [Apply]

    [Delete]

    [File][Save_*.ins]

    test1.ins

    [Ellipse]

    [Params][XYZUij+Others]

    Normal, aBitLarge, *Large, **tooLarge, ###nonPos!

    ###nonPos!

    Delete Uij

    L.S. 4 L.S. 7

    KenX KenX [ReOpn]

    [SavIns]

    KenX [Commands][Edit

    Shelxl-97 Commands]test1.ins

    [All Aniso][ACTA][CONF]

    [All Aniso] ANIS

    U11,U22,U33,U23,U13,U12

    [ACTA]test1.cif

    CifConv.exe

    File Open test1.cif File

    SaveAsFile test1.sup MS Word

    a,b Symbol

  • 17

    [Renumber]

    [Apply]

    [cntrl] + X

    [Sort Labels][OK]

    [Close][SavIns]

    Shelxl97

    R

    [HFIX]HFIX Coding

    Rules

    Shelxl97

    OK

    C N sp2

    CH sp3 CH2 riding

    model [Name][Delete]

    [Apply]NH3 m=13/n=7

    [HFIX][Apply]HFIX

    [cntrl] + E HFIX

    [SavIns]Shelxl97

    Shelxl97 KenX

    C28 HFIX

    43 1.2 C28

    Shelxl97 -1.2

    C28 Ueq 1.2

    -1.5

    KenX [SavIns]

    KenX

    L.S. 7 x 3 sets

    KenX [SavIns]

    Mean

    Shift/esd 0.0000 Maximum Shift/esd 0.0000

  • 18

    Shift/esd

    Shift/esd

    ORTEOP32.exe

    [File][Open File]test1.ins

    ORTEP

    [Labels][Set Mouse Labels][OK]

    [Cancel]

    [Cancel]

    EPS Encapsulated Postscript File[File]

    [Write Postscript File][Colour][Monochrome]

    ORTEP001.EPS, ORTEP002.EPS

    Print mswinprint2

    [OK]

    value

    V

    0

    1

    2

    3

    4

    5

    6

    7

    8

    9

    10

    11

    12

    13

    14

    ValueShiftShift/esd

    Shift/esdvalue

    esd

  • 19

    PLATON

    Cl-Pt-Pt-Cl

    PWT.EXE

    PLATON PLATON for Windows Taskbar [File][Select

    Data File]test1.ins

    Platon Graphical Menu

    Platon Graphics Contour-Fo

    Fo Fourier

    Contour ORTEP

    Cl1, Pt1, Pt2

    Working

    Contour_Menu Ch_Cntr_Lev

    Up Down

  • 20

    [Cntrl]+[PrintScreen][][][

    ][][Cntrl]+[V] BMP

    [][

    ][]

    [File][]

    Word Word

    KenX Stereo

    [ReExp]

    P1- No. 2

    2P1-

    KenX [ShowCell],

    [LabAxes][ShowPks][Packing]

    KenX [File][Save Graphics]Black and White

    [OK]

    [Stereo] Scl

    Save Graphics

    ACTA test1.cifCifConV.exeKenX

    Word

  • 21

    Table 1. Crystallographic Data of [Pt(III)2(NH3)4(C4H6NO)2Cl2](NO3)2

    _________________________________________________________________

    formula ?

    fw ?

    crystal system ?

    space group ?

    a, ?

    b, ?

    c, ?

    , deg ?

    , deg ?

    , deg ?

    V, 3 ?

    Z ?

    dcalc, g/cm3 ?

    (Mo K), mm-1 ?

    radiation, ?

    data/restraints/params ?/?/?

    R1 ?

    max/min diff. peaks ?/?

    Table 2. Atomic Coordinates and Equivalent Isotropic Thermal Parameters

    for [Pt(III)2(NH3)4(C4H6NO)2Cl2](NO3)2

    __________________________________________________________________

    atom X Y Z Ueq

    __________________________________________________________________

    Pt1 0.18538(4) ? ? ?

    Pt2 ? ? ? 0.02952(13)

    ?

    ?

    ?

  • 22

    Table 3. Selected Interatomic Distances () and Angles (deg)

    [Pt(III)2(NH3)4(C4H6NO)2Cl2](NO3)2

    ______________________________________________________________________

    Pt1-N10 2.158(10) Pt1-N9 ?

    Pt1-N5 ? Pt1-N6 ?

    Pt1-Cl3 ? Pt1-Pt2 ?

    Pt2-O12 ? Pt2-N3 ?

    Pt2-N4 ? Pt2-O11 ?

    Pt2-Cl4 ? N10-Pt1-N9 ?

    N10-Pt1-N5 ? N9-Pt1-N5 ?

    N10-Pt1-N6 ? N9-Pt1-N6 ?

    N5-Pt1-N6 ? N10-Pt1-Cl3 ?

    N9-Pt1-Cl3 ? N5-Pt1-Cl3 ?

    N6-Pt1-Cl3 ? O12-Pt2-N3 ?

    O12-Pt2-N4 ? N3-Pt2-N4 ?

    O12-Pt2-O11 ? N3-Pt2-O11 ?

    N4-Pt2-O11 ? O12-Pt2-Cl4 ?

    N3-Pt2-Cl4 ? N4-Pt2-Cl4 ?

    O11-Pt2-Cl4 ? O12-Pt2-Pt1 ?

    CIF [International Union of Crystallography (IUCr); http://www.iucr.org/ http://www.iucr.ac.uk/]

    Acta Crystallographica X Check CIF CIF IUCr ()

    http://journals.iucr.org/services/cif/checking/checkform.html

    CIF CIF CIF Alert Alert CIF

  • 23

    Alert CIF

    time consuming Alert A CIF Alert A CIF Alert A ()

    IUCr X

    812-8581 6-10-1

    Fax: 092-642-2596 E-mail: [email protected]