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  • IPPJ-AM- 14

    ENERGY DEPENDENCE OF SPUTTERING YIELDS

    OF MONATOMIC SOLIDS

    N. Matsunami, Y. Yamamura, Y. Itikawa, N. Itoh

    Y. Kazumata, S. Miyagawa, K. Morita and R. Shimizu

    Institute of Plasma Physics, Nagoya University

    Chikusa-ku, Nagoya 464, Japan

    June 1980

    This document is prepared as a prep血t of compilation of atomic data for fusion

    research sponsoredfully or partly bythe IPP/Nagoya University. This is intended for

    future publication in a ]oumalor will be included in a data book after some evaluations

    or rearrangements of its contents. This document should not be referredwithoutthe

    agreement ofthc authors. Enquiries about copyright and reproduction should be ad・

    dressed to Research lnfomlation Center,肝P/Nagoya University, Nagoya, Japan.

  • Energy Dependence of Sputtering Yields

    of 拭onatomic Solids

    N. Matsunamia, y. yamamurab′ y. =tikawal N.工tohat

    y. KazumataCr s. Miyagawadl K・ Moritaa and R・ Shimizue

    Institute of Plasma Physics, Nagoya University

    Furo-cho. Chikusa-ku, Nagoya, Japan

    ★The work has been performed under the コOint research program

    of data compilation at the Research =nformation center, Institute

    of Plasma Physics.

    a. Permanent address: Department of Crystalline Materials

    Science, Faculty of Engineering, Nagoya University,●

    Nagoya, Japan

    b. Permanent address: Department of Applied Physics, Okayama

    ロniversity of Science. okayama. Japan

    c. Permanent address: Japan Atomic Energy Research =nstitute,

    ℡oka土mura, Japan

    a. Permanent address: Government =ndustrial Research =nstitute,

    Nagoya, Japan

    e Permanent address: Department of Applied Physics, Faculty of

    En91neer土ng. osakaロniversi七y. Osaka′ Japan.

    -1-

  • 工. 工n七roduc七土on

    Experimental data of sputte-rinすOf Bdlid岳 by ion bombardment

    have been accumulated for these three decades.l・) current needsr

    for the sputtering data have accelerated the experimental measure-

    ments of the sputtering yield particularly by light ions. For

    better understanding of the phenomena2) and for the extensive use

    of the sputtering data for the design Of the fusion reactors, we■

    need comparison of the experimental data with empirical formula●

    for varieties of combination of the incident ions and targets.

    This paper present a compilation of the experimental data of

    the energy dependence of the sputtering yield at the normal incidence

    for all available combinations of the incident ions and target atoms.

    For each combination, the data are fitted to the empirical equatidn

    suggested by the present authors.3) The best fit values of two

    empirical parameters in the empirical equation are tabulated. Best

    fit values are also plotted as a function of M2/MAP Where Mland M21

    are the atomic masses of the incident ions and the target atOlnS

    respectively. 工t 土s sbown七hat七he value of these parameters for

    a given value of M2./Ml falls within士30% of the average for most

    cases. Thus using the average卓relation between the values of these

    parameters for a given value of M2/Ml・ the approximate sputtering

    yield of any combination as a function of energy is easily attainable.

    ==. Empirical Equation-

    scaling Rule

    A theoretical equation for the sputtering yield Y has been

    derived by Sigmund.4) sigmund equation, which predicts that the

    sputtering yield is proportional to the elastic stopping Power, is●

    き ヽ▲

    -t

    known to account for the experimental data for heavy ion bombardments

    over a wide energy ra-age. Ho如岳ver, it has been shown recently

    ぎ_ T ∴主'1-. /'上{E'{_~y⊥し

    _iふ-‥主i、-ll .ミ

    7

    -7一二-

    that the straight line pertaining th畠plots of the enel・.冒Y dependence

    -2-

  • of the sputtering yield approaches.to 2;erO at a finite incident

    energy.5), 6)

    This- result has been attributed to the threshold

    effect in displacement of atoms at crystal surfaces and at latticel

    points. According to the recently suggested modified Sigmund

    equation′3) which七akes the七hreshold effec七土nto account.the

    sputtering yield is given by=

    y-牌sn(l一申1/2}(i,

    S

    where α is a factor depending on H2/Hl, Us is the sublimation energy7)lsn is the elastic stopping cross section in unit of eV cm2/ 1015atoms,

    E is the energy and Eth is an energy factor relevant to the threshold

    effect. =f the last factor is dropped in Eq (i), one gets the

    Sigmund equation・ parametersはand Eth Were Chosen so that Eq (i)

    was fitted to the experimental energy dependence of the sputtering

    yield. The elastic stopping cross section Was obtained, using

    an analytical approximation of the Lindhard-Scharff-Schiott relation

    between the reduced elastic stopping Cross Section s and the reduced●

    n

    energy c(Appendix A). The stopping cross sectionSM is given byJL- JL' Jn

    sn (evcm2/1015atoms) (2)S =Rs =n n

    如aZIZ2 e2 Ml

    where Zl and Z2 are atomic number of incident ions and target atoms,

    0.

    and a is the Thomas-Fermiin the unit of A and is given by

    0・8853ao

    (3)

    using Bohr radius ao・

    Examples of fitting of experimental data to Eq (i) are shown

    in Figs., i and 2. Figure_ i is the result for the nickel targets and

    Fig. 2 for self sputtering oft several metal targets. The deviation

    of the experimental values from the best fi七curves is remarkable

    -3-

  • for heavier incident ions and for heavier target atoms. This

    deviation may be ascribed to (i) the subthres??1d e-ffects and (2)≡

    the overestimation of the threshold energy because of the npn-

    1エnear effect.9)

    r

    Ill. Compilation of the Data On the Energy Dependence of the

    Sputtering yield

    The energy dependence of the sputtering yield of all available

    combinations of the incident ions and target atoms upto the end of

    1978 have been compiled and stored in the computer. The compiled

    combinations are shown in Table =, where* indicates the combinations

    for wb土ch the numerical analysis was made and 冗 ind土ca七es those for

    wh土ch 七he available data are 土nslユff土cien七 for 七he nuⅢer土cal

    analysis.

    Numerical values of the parameters α and Eth are Shown in

    Table ==. =n the table we also show the numerical values of some

    other important quatities・ The dependence of cL aS Well as Eth/Us●

    (=∈) on &12/Ml is shown in Fig・ 3 and 4・ respectively・ The values

    of the sublimation energy are listed in Appendix a. The solid

    lines in these figures denote the averages, and the broken lines

    show the 23O% deviation.

    The plots of the energy dependence of the sputtering yields

    of various combinations of the incident ions and the target atoms

    are shown in Figs. '5 to208. The solid lines in these figures are

    the best fit curves to the empirical equation. The broke-n lines

    show the result calculated by putting average value-s of α andIミー

    into Eq (i).1 The references for each experimenta工 points are

    shown・ in the figures and a・11 the references are listed・ chronolo-

    gically and alphabetically in eacl._ ・year at the lend. of the report.

    LJ・1F<

    -4-

    こ-=

    ≠ぎi号壬▲

  • i) FQr Current data compilation see for example H. H. Andersenl

    ?nd H・ L・ Bay,in sputtering by ron Bombardment (ed. R. Behrish)

    Cbap. 4 (七o be publ土sbed)

    2) For the review of the theoretical alspects, see P. Sigmund,

    土bid Chap 1.

    3) N. Matsunami et al., Radiation Effect Letters (to be published).

    4) P. Sigmund, Phys. Rev. 184, 383 (1969) and 187, 768 (1969).

    5) P. Behrish, G. Maderlechner and a. M. tJ. Shertger, Applied

    Physics 18, 391 (1979.i).

    6) J. Bohdansky, J. Roth and H.Ll. Bay, J. App1. Phys.

    7) K. A. Gschneidner, Jr., Solid State Physics, eds. F. Seitz

    and D. Turnbull, (Academic press, New York, 1964) Vo1. 16,

    p. 275.

    8) J. Lindhard, Ⅴ. Nielsen and A. Scharff, Mat. Fyz. Mead. Dan.

    Vid. Selsk. 36′-No. 10 (1968).

    9) W. 0. Hofer, Nuc1. =nst.and Methods,(tobe

    published).

    -5-

  • Table = =on-target combinations in the present data compilation

    H D He LiN 0 Ne Ar Zn Kr Xe C芦Gd Hg Pb +

    1 1 2 3 7 8 10 18 30 36 54 55 64 80 -82

    Be 4

    B 5

    C 6

    Al 13

    S土 14

    Ti 22

    V 23

    Cr 24

    班n 25

    Fe 26

    co 27

    Ni 28

    Cu 29

    zn 30

    Ge 32

    zr 40

    Nb 41

    Mo 42

    Ru 44

    Rb 45

    pd

    Ag

    Cd

    工n

    Sn

    Ef

    Ta

    W

    Re

    Os

    工r

    P七

    Au

    Pb

    Th

    46

    47

    48

    49

    50

    72

    73

    74

    75

    76

    77

    78

    79

    82

    90

    92

    Ⅹy**

    Ⅹ★

    *

    * * *

    * *

    *

    * *

    x* * *

    * * *

    *

    *

    ☆ ★ ☆

    *

    * * * *

    ☆ ★ ★

    * * * *

    ★ ☆ ☆ ★

    ★ ☆ ★ ★

    * * * *

    * * * *

    * *

    ☆ ☆ ★

    ★ ★ ☆

    ☆ ☆

    ☆ ☆

    * *

    * *

    ★ ★

    ★ ★

    ★ ☆

    * *

    x *

    ★ ☆

    * *

    * *

    ★ ★

    * *

    * *

    ☆ ☆

    ★ ★

    ☆ ★

    *

    *

    ☆ Ⅹ

    Ⅹ Ⅹ

    * * * * *

    * *

    * *

    x* * *

    ★ ☆

    ☆ ★

    * * *

    * * *

    ★ ★

    * *

    Ⅹ Ⅹ

    * *

    ☆ ☆

    * * *

    * *

    ☆ ☆

    * *

    * *

    ☆ ☆

    ☆ ★

    * * *

    ★ ★

    * *

    Cu_+ Self-sputtering

  • Table ==・ The best fit values of・α and Eth tO Eq (i)・

    Ce

    Ⅹ =

    P =

    Y=

    a =

    aM2

    zIZ2e2 Ml+M2

    如aZIZ2e2Ml

    M1 +M2

    0.42αK

    (M1 + M2)2

    0・8853ao

    (z12/3 + z22/3)i/2

    (ev-1)

    (ev cm2/1015a七oms)

    Ml and M2: masses Of incident ions and target atcl・mS:=∃

    Zl and Z2: atomic numbers of incident ions and target atoms

    Us: sublimatiorl energy

    α: a factor depending on M2/M1

    -7-

  • Ce

    Be He 1.389E13

    Ne 9.382E-5

    Ar 2.715E-5

    Kr 5.988E16

    Xe 2・360E-,6

    C D 2.239E-3

    He 9.196E-4

    Ar 2.184E-5

    Kr 5.O10E-6

    Ⅹe 2.007E-6

    Hg 8.189E-7

    AI He 4.085E-4

    Ne 4.489E-5

    A1 2.895E-5

    Ar 1.592E-5

    Kr 4.177E-6

    Ⅹe 1.775E-6

    Hg 7.556E-7

    Si He 3.740E-4

    Ne 4.183E-5

    Ar 1.497E-5

    Kr 3.964E-6

    Ⅹe 1.692E-6

    Pb 6.810E-7

    でi He 2.221E-4

    Ne 2.944E-5

    Ar 1.168E-5

    Kr 3.450E-6

    Ⅹe 1.556E-6

    Hgも6.933E-7

    V He 2.108E-4

    Ne 2.840E-5

    Ar 1.139E-5

    Kr 3.409E-6

    Ⅹe 1.548E-6

    Hg 6.936E-7

    10.29

    87.60

    162.5

    300.9

    418.0

    3.522

    ll.50

    220.7

    425.0

    600。1

    821.0

    10.68

    147.9

    215.4

    336.3

    740.4

    1109.

    1583.

    10.89

    153.5

    352.3

    782.8

    1178.ヽ

    1725.

    9.364

    156.4

    397.9

    986.5

    1568.

    2343.

    9.134

    155.1

    398.9

    1002.

    1604.

    2410.

    P

    0.9835

    2.682

    3.620

    5.346

    ●7.536

    0.1092-

    0.4505

    6.768

    1.936

    1.485

    12.44

    0.9009

    4.565

    4.748

    6.936

    ll.85

    15.・34

    23.74

    0.4875

    2.835

    3.987

    6.912

    ll.59

    15.52

    0.2605

    2.725

    3.933

    6.948

    10.37

    13.84

    0.2536

    3.415

    3.899

    8.466

    12.38

    L9.,18

    E七b

    89.52

    98.27

    73.10

    89.39

    138.8

    31.88

    167.4

    348.9

    93.73

    18.07

    286.5

    151.4

    93.17

    39.44

    71.28

    81.07

    86.28

    133.6

    85.02

    '90.95

    64.20

    92.71

    159.3

    2.435

    56.38

    61.79

    57.15

    86.89

    118.6

    106.2

    90.93

    79.57

    44.73

    79.38

    83.06

    16て0.2

    -8-t~'11

    M2/M1

    2.251

    0.4465

    0.2256

    o.1075

    0.068:64

    5.964

    3.000

    0.3007

    0.1433

    0.09148

    0.05988

    6.740

    1.337

    1.0

    0.6754

    0.3220

    0.2055

    0.1345

    7.016

    i-392

    0.7031

    0.3■352

    0.2139

    0. 1ー3ち6

    ll.97'

    2.373

    1.199

    0.5716

    0.3648

    0.2388

    12.73

    2.524

    1.275

    0.6079

    0.3880

    0.2540

    α

    0.769

    ▼~~j.

    o.246

    0.179

    0.143

    0.145

    0.54-7

    0.691

    0.541

    0.0804

    0.0437

    0.267

    ∈ y

    26.5 0.8519

    29.1 0/8536

    21.6 0.6008

    2L6。4 O.3507i

    tAI-41.1 0.2404

    4.30 0.4919

    22.6 0.7499

    47.10.7109

    12.6 o.4386

    2.44 0.3071

    38.7 0.2132

    0.675 45.1

    0.247 27.7

    0.176 11.7

    0.165 21.2

    0.128 24.1

    0.111 25.7

    0.120 39.8

    o.4500 I

    0.9792

    1.0

    0.9625

    0.7370

    0.5656

    0.4180

    0.501 18.1 0.4367

    0.207

    0.127

    0.0′988

    0.110

    0.10,1'

    0・.324

    0.203

    0.115

    0.0820

    0.0770

    0.0688

    0.352

    0.279

    0.124

    0.107

    0.0979

    0.101

    19.4 0.9732

    13.7 0.9696

    19.7 0.7520

    33.9 0.5806

    o.52 0.4205

    ll.5 0.2847

    12.6 . 0.8343

    ll.7 0.9918

    17.8 0.9257

    24.3 0.7834

    21.7 0.6224

    17.1 0.2702

    14.9 0.8130

    8.39 0.9854

    14.9 0.9405

    15.6 0.8056

    30.1 0.6460

  • Cr:He

    Ne

    Ar

    Rr

    Xe

    ヨg

    Ce

    1. 99▲9モト4

    2.712E-5

    1.093E-5

    3..289E-6

    i.498E-6

    6.727E-7

    Fe !王e 1.814E-4

    N 4.053E-5

    Ne 2.509E-5

    Ar 1.025E-5

    Ⅹr 3.134E-6

    Ⅹe 1.440E-6

    ■ c.s 1.396E-6Hg 6.515E-7

    Pb 6.162五-7

    Co He 1.734E-4

    Ne 2.430E-5

    Ar 1.OOZE-5

    Co 5.260E-6

    Kr 3.098E-6

    Ⅹe 1.433E-6

    Hg 6.515E-7

    ヴ土H 3.573E-4

    D 3.514E-4

    He 1.654E-4

    0 3.139E-5

    Ⅳe 2.322E-5

    Ar 9.577E-6

    Ni 4.832E-6

    Kr 2.96.4E-6

    Xe 1.371E-6

    Hg 6.239E-7

    9.241

    158.0

    408.3

    10∋1.

    1655.

    2493.

    9.159

    87.74

    159.7

    418.3

    1073.

    1739.

    1771.

    2638.

    2707.

    8.949

    158.1

    417.9

    728.4

    1084.

    1768.

    2696.

    1.253

    2.463

    9.218

    111.8

    163.1

    431.3

    773.9

    1120.

    1827.

    2787.

    P

    O,7059

    6.・471

    9.284

    19.10

    30.33

    21.28

    0.5800

    5.994

    4.504

    9.133

    17.23

    27.00

    37.56

    29.28

    38.45

    0.5597

    6.902

    ll.64

    5.886

    15.47

    22.70

    34.β6

    0.05155

    0.1168

    0.5689

    1.670

    5.311

    12.69

    10.43

    17.53

    24.35

    36.43

    Eth 朗2/M1

    74.46 12.99

    62.70 2.576

    41.78 1.302

    66.76 0.6205

    84.17 0.3960

    96.38 0.2592

    α

    0.749

    0.402

    0.223

    0.192

    0.loo

    0.0838

    67.71 13.95 0.654

    407.7 3.987 o.706

    35.85 2.767 0.291

    52.56 1.398 0.2・26

    81.77 0.6664 0.166

    96.42.iO.4253 .0.160

    348.9 0.4202 0.219

    164.7 0.2784 0.115■

    25.37 0.2695 0.147

    89.25

    81.92

    65.54

    41.87

    86.61

    82.71

    146.8

    82.13

    58.71

    54.52

    82.86

    39.09

    53.94

    52.65

    75.63

    93.92

    115.4

    -9-

    14.72

    2.920

    1.475

    1.0

    0.7033

    0./L488

    O.2938

    0.660

    0.460

    0.294

    0.0852

    0.150

    0.135

    0.136

    5・8.24 0.437

    29.15.0.504

    14..67 0.655

    3.670 ・0.159

    2.909 0.346

    1.470 0.312

    1.0 0.143

    0.7006 0.166

    0.4471 0.141

    0.2927 0.139

    ∈ T

    18.1 0.2655

    15.2 0.β057

    10.1 0.9828

    16.2 0.9451

    ?.0.4 0.8128

    23.4 0.6539

    15.6 0.2496

    ・93.9 0.6412

    8.26 0.7800

    12.1 0.9725

    18.8 0.9599

    22.2 0.8375

    80.4 0.8333

    37.9 0.6814

    5.84 0.6690

    20.1 0.2382

    18.5 0.7601

    14.8 0.9631

    9.45 1.0

    19.6 0.9696

    18.7 0.8553

    33.1 0.7021

    18.4 0.06638

    13.2 0.1283

    12.2 0.2390

    18.6 0.6732

    8.77 0.7615

    12.1 0.9638

    ll.8 1.0

    17.0 0.9690

    21.1 0.8541

    25.9 0.7006

  • Ce

    Cu D 3.366E-4

    He 1.589E-4

    N 3.629E-5

    Ne 2.269E-5

    Ar 9.477(E-6

    Cu 4.452E-6

    Ⅹr 2.980E-6

    Ⅹe 1.391E-6

    Cs 1.350E-6

    Hg 6。375E-7

    Pb 6.035E-7

    Ge H-e 1.411モト4

    Ne 2.073E-5

    Ar 8.850E-6

    ¥.r 2. 862F,-6

    Ⅹe 1.358E-6

    Hcr 6.310E-7

    Zr r!e 1.069E-4

    Li 6.788E-5

    Ne 1.648E-5

    Ar 7.294E-6

    Kr 2.477E-6

    Ⅹe 1.211E-6

    甘g 5.777E-7l

    Nb D 2.163E-4

    He 1.036E-4■

    Li 6.585E-5

    Ne 1.603E-5

    Ar 7.118E-6

    Kr 2.427E-6

    Nb 1.984E-6

    Ⅹe 1.190E-6

    Cs 1.156E-6

    Hg 51.690E-7

    2.338

    8.775

    85.88

    157.9

    423.0

    820.5

    1116.

    1837.

    1871.

    2822.

    2899.

    8.302

    153.8

    421.1

    1142.

    1911.

    2978.

    7.823

    19.38

    152.0

    431.5

    1.230.

    2120.

    3390.

    2.054

    7.822

    19.39

    152.6

    434.4

    1243.

    1461.

    2148.

    2192.

    3444.

    p

    O.2694

    0.8420

    4.756

    8.678

    16.01

    22..27

    31.52

    49.07

    68.60

    63.21

    68.25

    0.魯502

    5.178

    8.296

    14.82

    20.54

    24.89

    0.1647

    0.6451

    3.008

    6.061

    6.196

    12.75

    12.60

    0.02584

    0.2386

    e.8341

    2.896

    7.456

    10.75

    10.39

    25.50

    22.39

    12.41

    苧th .M 2/Ml α

    406.3・ 31.55 0.966

    ~49.10 15.87 0.804

    22.06 4.537 b.464

    37.07 3.148 0.460

    33.93 1.591 0.317

    44.46 1.0 0.227

    56.50 O.7583 0.?.37

    79.87 0.4840 0.224

    186.1 0.4781 0.307

    122.1 0.3168 0.188

    111.3 0.3067 0.197

    79.96

    67.53

    29.12

    72.07

    83.73

    ilo.8

    163.3

    101.8

    70.80

    53.12

    60.16

    89.15

    91.80

    52.37

    191.0

    128.0

    63.97

    75.26

    90.38

    367.5

    207.5

    4.010

    105.9

    -10'-

    19.13

    3.597

    1.817

    0.8662

    0.5529

    0.3619

    22.79

    13.15

    4.520

    2.283

    1.089

    0.6947

    0.4548

    0.390

    0.31コ.

    0.182

    0.120

    0.0993

    0.0772

    0.317

    0.502

    0.298

    0.212

    0.0760

    0.0906

    0.0560

    46.13 0.227

    23.21 0.551

    13.39 0.777

    4.603 0.343

    2.326 0.310

    1.109 0.156

    i.0 0.129

    0.7076 0.214

    0.6990 0.185

    0.4632 0.0651

    ∈ y

    115.0 o.1191

    13.9 0.2230

    6.2了 o.5920

    1b.5 0.プ318

    9.64 0.9480

    12.6 1.O

    16.1 0.9811

    22.7 0二8791

    52.9 0.8753

    34。7 0.7308

    31.6 0.7185

    20.6 0.1981

    17.4..690?))

    7.50 0.9159

    18.6 0.9949

    21.6 0.9171

    28.6 0.7805

    25.8 0.1611

    16.1 0.2628

    ll.2 0.5934

    8.39 0.8472

    9.50 0.9982

    14.1 0.9676

    14・5 0・859鞠

    6.90 o.08307

    25.2 0.1584

    16.9 0.2587

    8.43 0.5865

    9.92 0.8411

    ll.9 0.9973

    48∴4 1.001

    27.3 0.9707

    0.53 o.9686

    14.0 0.'g654

  • Ce

    Mo H 2.119E-4

    D 2._098E-4

    He 1.006E-4

    Ne 1.565E-5

    Ar 6.980E-6

    2(r 2..396E-6

    Ⅹe 1.179E-6

    Cs 1.146王ト6

    Hg 5.659E-7

    pb 5.374E-7

    Ru Ne 1.490E-5

    År

    ● KrXe

    Rh He

    Ne

    Ar

    Kr

    Xe

    Hg

    Pd He

    Ne

    ■…:Ⅹe

    Hg

    A9 H

    D

    6.696E-6

    2.323E-6

    i.152E-6

    9.221E-5

    1.454E-5

    6.549E-6

    2.281玉-6

    1.133E-6

    5.485E-7

    8.973E-5

    1.422王ト5

    6.435E-6

    2.256E-6

    1.126E-6

    5.468E-7

    1.831E-4

    1.815E-4

    Ne 1.387E-5

    Ar 6.292E-6

    Kr 2.212E-6

    Ag 1.443E-6

    Ⅹe 1.106E-6

    Hg 5.384E-7

    K P

    1.024 8.914E-3

    2.024 0.01602

    7.714 0.1457

    151.3 3.848

    432.8 5.~405

    1247. 9.982

    2163. 19.59

    2208. 31.21

    3481. 19.81

    3587. 31.26

    150.1 4.774

    432.6 10.55

    1259. 21.83

    2201. 28.50

    7.571

    150.4

    434.6

    1270.

    2225.

    3610.

    7.446

    148.7

    431.6

    1269.

    2234.

    3638.

    0.2683

    6.251

    13.88

    24.30

    31.30

    41.58

    0.6540

    6.440

    13.96

    28.52

    43.72

    52.60

    0.9851 0.1271

    1.950 0.2666

    149.4 13.09

    434.6 24.67

    1282. 60.33

    1835. 89.25

    2260. 94.51

    3688. 140.

    Eth

    327

    131.5

    99.28

    59.02

    39.32

    44.13

    73.07

    253.7

    135.0

    i35.i

    72.74

    58.70

    86.21

    91.43

    90.57

    75.52

    68.49

    76.39

    80.13

    96.42

    75.61

    41.67

    41.77

    49.03

    63.04

    78.25

    M2/Ml α

    95・18 o.142

    47.64 0.129

    23.97 0.307

    4.754 0.413

    2.402 0.203

    1.145 0.130

    0.7307 0.147

    0.7218 0.230

    0.4783 0.0926

    0.4631 0.142

    5.008

    2.530

    1.206

    0.7698

    25.71

    5.099

    2.576

    1.228

    0.7838

    0.5130

    26.58

    5.272

    2.663

    1.270

    0.8104

    0.5304

    268.3 107.0

    44.60 53.56

    45.34 5.345

    23.39 2.700

    84.88 1.287

    89.07 1.0

    95.93 0.8216

    123.6 0.5378

    -11・-

    0.506

    0.389

    0.276

    0.206

    0.488

    0.572

    0.440

    0.263

    0.194

    0.158

    0.818

    0.403

    0.301

    .0.209

    0.182

    0.135

    0.912

    ∈ Y

    47.9 C.04116

    19.2 0.08055

    14.5 0.1538

    8.64 0.5744

    5.76 0.8302

    6.46 0.9954

    10.7 0.9758

    37.1 0.9739

    19.8 0.8755

    19.8 0.8653

    10.9 0.5550

    8.77 0.8121

    12.9 0.9913

    13.7 0.9831

    15.7 0.1442

    13.1 0.5483

    ll.8 0.8058

    13.2 0.9895

    13.9 0.9853

    16.7 0.8964

    19.3 0.1398

    10.7 0.5361

    10.7 0.7938

    12.5 0.9859

    16.1 0.9890

    20.0 0.9059

    90.3 o.o3669

    0.966 15.0 0.07197

    0.619 15.3 0.5311

    0.401 7.87 0.7889

    0.333 28.6 0.9842

    0.344 30.0 1.0

    0.296 32.3 0.9904

    o.269 41.6 o.9096

  • Sn Ar 5.982E-6 425.0

    Sn 1.249E-6 2034

    Hf Ne 8.665E-6

    Ar 4.172,E-6

    Ⅹr 1.608E-6

    Ⅹe 8.578E-7

    Hg 4.440E-7

    Ta Ne 8.527E-6

    Ar 4.112E-6

    Ⅹr 1.589E-6

    Ⅹe 8.488E-7

    Hg 4.402E-7

    W He 4.908E-5

    Ne 8.395E-6

    År 4.054E-6

    Kr 1.571E-6

    Ⅹe 8.408E-7

    Cs 8.191E-7

    Hg 4.369E-7

    Re Ne 8.264E-6

    Ar 3.996E-6

    Ⅹr ユ.552E-6

    Ⅹe 8.319E-7

    Hg 4.330E-7

    Os He 4.744E-5

    Ne 8.144E-6

    Ar 3.946E-6

    Ⅹr 1.537エー6

    Ⅹe 8.261E-7

    132.4

    408.7

    1322.

    2485.

    4314.

    132.1

    408.4

    1324.

    2494.

    4336.

    6.100

    131.5

    407.3

    1324.

    2498.

    2556.

    4353.

    ユ31.3

    407.2

    1326.

    2507.

    4375.

    6.010

    130.1

    404.1

    1321.

    2503.

    P

    10.44

    26.60

    3.125

    7.804

    16,.92

    30.57

    22.56

    2.457

    5.801

    17.35

    22.93

    19.56

    0.05713

    3.031

    7.493

    16.32

    32.15

    30.21

    16.31

    3.864

    ll.18

    24.96

    33.ll

    32.46

    0.1555

    3.839

    12.ll

    25.67

    35.74

    Eth

    51.82

    56.43

    63.57

    39.20

    68.16

    118.3

    109.0

    54.64

    50.15

    81.60

    86.49

    99.34

    165.3

    57.92

    65.92

    73.80

    95.61

    51.47

    92.18

    77.98

    71.67

    85.87

    96.64

    105.6

    187.0

    80.74

    84.66

    91.50

    95.12

    -・12-

    M2/M1

    2.971

    1.0

    8.844

    4.468

    2.130

    1.359

    0.8898

    8.965

    4.530

    2.159

    1.378

    0.9021

    45.93

    9.109

    4.602

    2.194

    1.400

    1.383

    0.9165

    9.226

    4.661

    2.222

    1.418

    0.9283

    47.51

    9.424

    4.761

    2.270

    1.449

    α

    0.182

    0.0971

    0.355

    0.287

    0.192

    0.185

    0.0786

    0.359

    0.274

    0.253

    0.177

    0.0870

    0.194

    0.476

    0.380

    ■0.255

    0.266

    0.244

    0.0774

    0.567

    0.529

    0.362

    0.254

    0.143

    0.501

    0.571

    0.580

    0.376

    0.276

    吉 y

    16.6 0.7536

    18.1 1.0

    10.1 0.3651

    6.21 0.5977

    10.8 0.8697

    18.8 0.9768

    17.3 0.9966

    6.75 0.3611

    6.19 0.5926

    10.1 0.8653

    10.7 0.9747

    12.30.997卸

    19.0 0.08342

    6.67 0.3565

    7.59 0.5866

    8.50 0.8603

    ll.0・ 0.9722

    5.93 0.9741

    10.6 0.9981

    9.64 0.3529

    8.86 0.5818

    10・6 0・8562th.Ill.9 0.9701

    13.1 0.9986

    23.0 0.08075

    9.93 0.3469

    10.4 0.5738

    ll.3 0.8492

    1、1.7 0.9664

  • =r He

    Ne

    Ar

    Kr

    Xe

    Hg

    Pt He

    Ne

    Ar

    Xr

    Xe

    Hg

    Ce

    4.664ET5

    8.O18E-6

    3.889E-6

    1.518E-6

    8.169E-7

    4.268E-7

    4.588E-5

    7.900E-6

    3.837E-6

    1.501E-6

    8.093E-7

    4.236E-7

    Au H 9.300E-5

    D 9.253E-5

    He 4.513E-5

    Ⅳ 1.169E-5

    Ne 7.780E-6

    Ar 3.783E-6

    Kr 1.482E-6

    Ⅹe 8.003E-7

    Au 4.259f:-7

    Hg 4.194E-7

    IThNe 6・688E-6

    Ar 3.300E-6

    Ⅹr 1.325E-6

    Ⅹe 7.292E-7

    U Ne 6.517E-6

    Ar 3.223E-6

    Kr 1.299E16

    Ⅹe 7.169E-7

    Hg 3.844E-7

    K P Eth M2/M1

    6.003 0.07918 180.1 48.01l

    130.1 4.323

    404.7 12.39

    1325. 22.01

    2514. 42.31

    4404. 46.20

    5.969 0.2193

    129.6 5.177

    403.6 14.84

    1325 32.93

    2518 50.28

    4420 67.79

    64.22 9.523

    57.87 4.812

    74.44 2.294

    92.65 1.464

    88.30 0.9582

    179.3

    56.34

    54.99

    83.10

    92.13

    112.3

    48.74

    9.666

    4.884

    2.328

    1.486

    0.9726

    o.7740 0小05583 372.8 195.4

    1.539 0.1261

    5.966 0.4742

    66.25 4.327

    129.6 7.831

    404.3 26.05

    1329. 76.97

    2530. 126.0

    4360. 221.0

    4446. 134・.6

    122.8 3.436

    388.6 7.758

    1309. 20.21

    2540. 28.84

    121.9 5.008

    386.5 11.79

    1307. 27.14

    2543. 27.44

    4572. 35.55

    152.0 97.80

    68.88 49.21

    30.89 14.06

    28.05 9.759

    62.12 4.931

    97.73 2.350

    105.2 1.500

    120.7 1.0

    86.26 0.9820

    82.55 11.50

    53.79 5.809

    78.22 2.769

    83.14 1.767

    70.40 11.79

    63.84 5.958

    75.83 2.840

    122.3 1.813

    69.28 1.187

    -18-

    α ∈

    0-2エフ 26.1

    0.546 9.31

    0.503 8.39

    0.273 10.8

    0.276 13.4

    0.172 12.8

    ・Y

    0.07994

    0.3440

    0.5699

    0.8457

    0.9646

    0.9995

    0.513 30.6 0.07881

    0.558 9.61 0.3399

    0.513 9.38 0.5643

    0.,347 14.2 0.8408

    0.279 15.7 0.9618

    0.214 19.2 0.9998

    0.653 98.1 0.02026

    0.741 40.0

    0.719 18.1

    0.591 8.13

    0.547 7.38

    0.583 16.3

    0.524 25.7

    0.451 27.7

    0.459 31.8

    0.274 22.7

    0.04008

    0.07809

    0.2479

    0.3372

    0.5607

    0.8375

    0.9600

    1.0

    0.9999

    0.395 13.9 0.2945

    0.282 9.07 0.5012

    0.218 13.2 0.7797

    0.160 14.0 0.9231

    0.530 13.0

    0.394 11.8

    0.268 14.0

    0.139 22.6

    0.100 12.8

    0.2882

    0.4922

    0.7703

    0.9165

    0.9927

  • .i r. ,} ∵\ .

    Figure i. Energy depende.nee of the sputt'ering yiefids elf Ni.` tat-get岳▲

    for H (Ⅹ)′ He (ロ). Ni (o_), Ar (A) and Xe (▽) ions. -The yi隼Lld and

    energy are normalized by P・sn a・nd Ethr reSPeCtively・ Th色Tva加es

    of P and Eth are given in Table ==. The dashed line is

    the best fit curve.

    Figure 2. Energy dependence of the self sputtering yields for

    A1 (A). Cu (ロ), Nb (∇), Ag (Ⅹ) and Au (o). The yield and energy

    are normalized by P・sn and Eth' reSPeCtively・ T.Lie dashed line is

    the best fit curve.

    Figure 3・ The α-parameter as a function of the mass ratio M2/Hl・

    where M2 and Ml are the masses of target atoms and incidentFions,

    respectively. The solid line is drawn by smoothing the averaged

    values. Multiplying ttl_e averaged values by 1.3 and 0.7, broken

    lines are drawn・ The dot-dashed line is the Sigmund curve for α.

    Figure 4・ The・∈= Eth/Us parameter as a function of the mass ratio

    M2/M1・ Where M2 and Ml are the masses of target atoms and incident

    ions, respectively・ The solid line is drawn by smoothing the

    averaged value・s・ Multiplying the averaged values by l・3 and 0.7,

    broken lines are drawn.

    -

    14㌻7

  • Figure 5-208・ Sputtering yield.vs energy・ A・rBrC′‥ ・

    indic年中.th.e早XPerimeptal vatuesI The solid line is the curve;-亨

    L1- ヽL・ヽ

    .bes曽書拭to the experimental data・ The dashed line showsl.1the

    result …calculated by the empirical formula (Eq. (1)) with⊃七heil

    averag>e; values ∩f一土he parameter ち and α ・ which areindicated

    d[垂Ii-J%-I

    by the solid curv色, in Figs. 3 and 4.′■~

    The graphs年考e arranged fix:stin order of increasing atomic

    ヰーi・j

    number of the taz;.get (Z2) and, udder each Z2, in orde羊Of

    increasing atomiel number of the'projectile(Zl) ・

    -15-

  • 山1J

    .⊂中J

    LUi=:ヨ

    tjJ

    ¢

    ..噂bLE

    SE

    I

    C〉LJiii:

    こi=

    I

    :室コE=

    -16-

    ′Å=uS・d/A

    こiiこ

  • LE?

    a♂~ヽ

    i:≡

    山ヽー

    B一■■-I

    8きE】

    >-

    苛a妻晋遠

    耳1-7I?-'-i-?-E>

    t

    t

    くlロ

    *#甲く

    I)(

    OX

    o&㌔!

    【コ

    山8さ

    .⊂【=i

    Lili=ヨ

    Iも!8

    毒a豊署名4 ロ > >く 0

    ー一也一----_______t

    l

    l

    l

  • 。/□

    /

    / ロ

    0

    /

    /

    + /

    /

    口□//vP

    0

    +T('1 □

    +U ◇

    ⊂)

    ⊂コ

    /∫

    亀//aO

    ,/亀〆/急o,/ A3/A i・′′◇_/A___ J -

    /oI./-。/,://臼i-/ /+

    /A

    Ta

    W

    Re

    Os

    lr

    Pt

    Au

    Be △Fe +Mo+

    C ▽Co ▽Ru ▽

    Al o NiロRh □

    Si ◇Cu o Pb o

    Ti △Ge◇Ag□

    V 十Zr △Sn ◇

    Cr +Nb +Hf ▽

    [

    il

    0日

    【】

    L1

    ;;・-.A.-T/g?専㌍

    i'晋/_?請

    1M2/Ml

    10

    -18-

    ■・一一■l■

    ~

    凄_一-

    -

    Lr_-/%//+ンム

    ームーー

    ~

    I_oiT_fo-o;i:l・

    Fig. 3

  • /

    /

    Fig. 4

    -19-

    +

    0

    ′′

  • HE->BE

    Fig.5

    -20-I

    HE->BE

    ∩ RロSENBERG・hEHNER r196Z)

    B FETZ・OECHSNER [1963)

  • NE->BE

    /∩

    ′一~ヽ

    巨要

    ⊂) (iトー■

    g!!

    l望⊂)

    トー

    ⊂10~lヽ_._.∫

    >-

    5

    10~つ

    R ′′ノ′

    ∩/′/

    I l

    一一

    -~ ~

    - --

    ヽヽ

    ヽ、

    i)

    ヽヽ

    5 102 5 103

    NE->8E

    ∩ LRECREⅠD,hEHNER t196i)

    B FETE.OECHSNER (i963)

    5 104

    ENERGY(E〉)

    Fig. 6

    -21-

    5 105 5 106

  • RR->BE

    ∩ LRECRE!D.hIEHNER (1961)

    ら FETZ.OECHSNER r1963j

    Fig. 7

    一望2- -I喜喜

  • KR->BE

    KR->BE

    R ROSE;NBERG,HEHNER7 (L1962)

    8 FETZ,OECHSNER (1963J

    Fig. 8

    ll

    ・_A

    -231喜t三-

  • ×E->BE

    ーヽ

    芦勇

    ⊂⊃

    ト-」

    g!

    (ノつ

    ∋=

    〔⊃

    ⊂工ヽ==J

    >-

    XE->BE

    ∩ ROSENBERG.HEHNER t1962)

    B ETZ.OECHSNER (1963J

    Fig. 9

    -24-

    _I:--:

    \ I..:,

  • HE->B

    萱萱貞

    ⊂〕 5空=F

    iiZ5

    I望⊂⊃

    トー

    ⊂10~1ヽ___′

    >-5

    5 102 5 103

    HE->B

    q MIYRG・qHR.qTD,MORIYR 【1978)

    5 104

    ENERGY(E〉)

    Fig. 10

    -25-

  • H->C

    Z

    ⊂⊃ らト--I

    iZI

    (ノつ

    ∋二

    〔⊃

    ⊂10~1ヽ_._〟

    ~-

    5

    10~・35 102 5 103 5 1O4

    ENERGY(E〉)

    5ロHDRNS代Y.ROTH.STNHq [197S)

    ROHロRNSKY.6qY.OTTヒN6ERGER [1978)

    Fig. ll

    -26-

    5 10与 5 10S

  • D->C

    巨垂貞

    ⊂⊃ 5トーー1

    ]

    pwig

    ⊂〕

    ト-

    Ⅱ10~1ヽ_′

    >-5

    10~35 102 5 1ロ3 5 104

    ENERG-Y(E〉)

    D->C

    ∩ BOHDRNSr(Y.BqY.OTTENBERGER (19783

    8 BORDERS.LRNGLEY.如ILSON r1978j

    Fig. 12

    -27-ち

    5 10う 5 106

  • HE->C

    重要

    ⊂⊃ 5トーーI

    iZ!

    ∑=

    ⊂⊃

    ト一

    江10-1ヽ_._-′

    >-

    5 102 5 103 5 104

    ENERGY〔E〉〕

    HE->C

    ∩ ROSENBERG,h(EHNER t1962)

    ら R8TH,BOHDRNSKY t1976)

    C BロHロRNSKY.BqY.OTTEINBERGER (1978)

    Fig. 13

    -28- .・.

    5 10弓 5 10弓

  • RR->C

    巨室

    ⊂⊃

    ト・・・」

    il

    Iu'=

    ⊂〕

    ト一

    口=ヽ__ー

    >-

    I

    RR->C

    R LRECRETD.如EHNER (19Sl】

    B BETZ.DOBROZヒMqKY.VTSHBCCK (1969)

    Fig. 14

    -29-

  • KR->C

    Z

    ⊂⊃ 5ト・・-」

    g≡l

    (ノつ

    ∑二

    ⊂⊃

    トー

    ⊂工0-iヽ___.._∫

    ~-

    KR->C

    R qLMEN.BFミUCE r1961R)

    6 べOSENBURG,山EHNER (1962】

    C BETZ,〇06ROZヒMqKY.VISHBCCK [196g)

    Fig. 15

    -30-

  • ×E->C

    5 193

    -31-

    5 1C]5 5 106

  • りE->RL.

    i;ヨ

    iコ

    i

    1 0I 3 」]⊥_⊥⊥」」山⊥⊥⊥ 」 ⊥

    5 102 5 1D3 5 1D4

    ENERGY〔E〉j

    hE->(]L

    R 叩SE.NBERG,HEhNER (1962)

    Fig. 17

    -32-

    ヽ、

    5 1O・5 5 10S'

  • NE->RL

    ′■■~~ヽ

    ⊂〕トー」

    iZ5

    二ヨ姻ヨニ

    ⊂〕

    トーー

    (工10ヽ__■.′

    >-

    1〔〕~35 10S

    5 102 5 103

    NE->RL

    ∩ LRECRETロ.HEHNER (1961)

    5 104

    ENERGY〔E〉】

    Fig. 18

    -33--

    5 10e'

  • RL->RL

    室萱岳

    ⊂⊃ ら「==≡」

    iZI

    (∫)

    ii■.▲■■-I

    ⊂⊃

    トー

    ⊂1ロー1ヽ-.___∫

    >-

    5 102 う 103

    PIL->RL

    R qLMEN.BfミUCE (上961日)

    ら LlqYHRRE3.h〇LTE._R ( 1969)

    5 104

    ENERGY(E〉j

    Fig. 19

    -34-

    ・.

    5 1〔〕5 5 iO6

  • qFト>RL.

    5卜IJ

    l≧∑ニ

    ⊂⊃

    トー

    ⊂10-1ヽ_._._′

    >-5

    10~3

    5 102 5 103 5 104

    ENERGY〔E〉J

    RR->RL

    ∩ YONTS.NORrlqNロ.HqRRTSON (19SO)

    ら ERT.r〔】LOM6托.FqGロT (196iJ

    C LRECRE!D.hEHNER ri961J

    Fig. 20

    -35-

    5 10う 5 10S

  • KR->RL

    萱萱岳

    0 'J

    トーー」

    iZ!

    rJ7

    ∋=

    ⊂〕

    トー

    Ⅱ10~1ヽ_.__∫

    >-cJ

    5 1C)2 5 103 5 104

    ENERGY〔E〉)

    KR->RL

    ∩ ROSLNBERG.hE卜jNER (19S2)

    Fig. 21

    -36- ∴.

    5 10う 5 10弓

  • ×E->RL

    XE->RL

    ∩ RロSENBERG,山EHNER (196ZJ

    Fig. 22

    -87-

  • HE一>SⅠ

    HE->SI

    R ROSE.NBERG.h己HNER (1962)

    Fig. 23

    -38-

  • NE->Sl

    Z

    ⊂⊃ EJ

    トー」

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    /

    t I

    ・J 102_」山」

    5 104

    ENER〔、Y〔E〉)

    5 103

    NE->ST

    ∩ LRECRE!D.hEHNER (1961)

    B qNCERSE_N.BqY (1975j

    Fig. 24

    -39-

    5 10う

  • qF!->SI

    iiii

    ⊂⊃ 5トー■

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    (/つ

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    ⊂〕

    トー

    Ⅱ10~1ヽ 一

    >-cJ

    f, 102 5 iC)3 5 104

    ENERGY〔E〉)

    F;F:->ST

    ∩ IRECRETD.hEHNER (19Sl)

    6 日r:HNEq.STU∩RT.RDSENBERG (1961)

    C F.ヒRNISSE (1971)

    rJ うOMl_ERF_IL CT r1972J

    E RNじERSEN.BqY (1975)

    F COBURN.hTNTヒRS,rHURNG (1977)

    G KqNG.OKUTRNT.SHTMTZU (1979)

    Fig. 25

    -40-

    I_ {

    5 105

    ≡襲Ill.

    一書

    L_.…享聖書

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    .二三葛l、二

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    蛋壁

    ∈≦専三

    flr!

    表重

    ,L:

    崇毒冒

    il

    5 10弓

  • KR->SI

    5 103 5 104

    ENERGY(E〉〕

    KR->S7

    Fig. 26

    -41-

    (,才I

    5 105

    ∩ qLMEN.BFミUCE r1961B】

    6 ROSENBERG,hEHNER r196ZJ

    C EヒRNTSSE r1971】

    口 RNロERSEN.日RY (1975J

    5 1OS

  • XE->ST

    ∩ ROSE_NBERG,レjEHNER (196Z】

    B EヒRNISSE_ r1971) ,

    C RNCERSEN.BqY (1975)

    Fig. 27

    -42-

  • H->TI

    --

    - -I- -

    /

    /

    /

    ヽ、

    声音

    ⊂〕

    トーー1

    iiZ5

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    ∑二

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    i

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    i

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    5

    10~35 102 5 103

    5 10i

    ENERGY(E〉)

    H->TI

    R 60日DRNSKY.ROTHISINHq r1976)

    F土g. 28

    -43-

    5 105

  • HE->TⅠ ` .一考尺一~ 暮

    cJ 102 5 103

    hE->TT

    ∩ ROS巳NBERG.hEHNER (19S2)

    6 ト10FER.5qY.rlqRTIN (1978)

    5 104

    ENERGY〔E〉j

    Fig. 29

    -44-

    i ち,

    5 10う 5 10弓

  • NE->TI

    重要

    〔⊃ 5ト・-I

    iiZ!

    l望⊂)

    ⊂10-1ヽ__〟

    >-

    5

    ・J 102 5 103

    NE->TI

    ∩ LRECREID.hEHNF.R (.1961)

    5 104

    ENERG・Y(EV)

    Fig. 30

    -45-

    5 1ロう 5 10弓

  • qR->TI4iを

    .

    ,・・・

    ・ ・.- ・

    -‥

    :--

    5

    r, lo空 5 103

    qF(->TI

    R LRF_CRETD.hEHNER (19Sl)

    B STURFミT.HEHNER (19S2)

    C H〇FER.L一己BLE r1976J

    u HOFER.BqY.MqRTIN (1978)

    5 104

    ENERGY(EV)

    Fig. 31

    「46一弘

    琶琵

    琶碧

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    き1

    lL▼声岳

    U

    i.1FT

    l

    i

    ll

    i

    も琵

  • ■・■

    Fig. 32

    -47-

    KR->TI

    ∩ qOSEN6ERG,HEHNER (19S2)

  • ×E->TI・

    .

    5 102 5 103

    ×E->TI

    R ROSE_N6F_RG,hEHNER (上962)

    5 101

    ENERGY〔E〉〕

    Fig. 33

    「48- ・i:皐l

    ..

    5 1O5 5 106

  • HE->V

    HE->〉

    ∩ ROSE.NBERG,hEHNER (1962)

    ら GUSEVR,MqRTYNENKO r1976)

    c sHITK0日Sr(7.M∩NN.代NEFF (1976)

    D HOFER.日qY.MqRTIN 【1978J

    Fig. 34

    -49-

  • NEJ>V

    5 102 5 103 5 iO4

    ENEF(GY(EV)

    Fig. 35

    -50-i-:'\

    5 105

    巨室

    〔⊃ 5ざ一-∵;

    iZI

    (ノつ

    ∋=

    ⊂)

    ⊂10~lヽ___-′

    >-5

    NE->〉

    Pl qLMEN.BRUCE r1961R】

    r) LREC'REID.山EHNER [1961)

    1

    覇1

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  • RR->〉

    衰室

    ∈:〕

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    iiZ?

    I (ノつ

    ∋=

    ⊂⊃

    トー

    〔工10ヽ_.J

    >-

    5

    5 102 5 103 5 104

    ENERGY〔E〉)

    RR->V

    ∩ RLMEN..BRUCE 【1961R)

    ら LREC・REiD.HEHNER (1961J

    C ShllTKOHSKⅠ.MqNN.代NEFF r1976)

    ロ HOFER.Boy.MqRTIN 【1978)

    Fig. 36

    -51-

    5 105 5 106

  • KR->〉

    轟音

    ⊂⊃ らド-一三

    i己!l

    (I)

    ∋二

    ⊂⊃

    ⊂10~1ヽ___Jl

    >-

    5

    5 102 5 103

    KR->V

    ∩ qLMEN.BFモUCE (1961R)

    弓 ROSENBERG,hEHNER (1962)

    5 104

    ENERGY〔E〉〕

    Fig. 37

    -52--

    ■.

    5 105 5 10S

  • ×E->〉

    Z

    ⊂〕ー

    iZ5

    I∽∋=

    ⊂)

    トー

    〔工10ヽ__........′

    >-

    5

    5 102 5 103

    XE->V

    ∩ qLMEN.日RUCE (1961R)

    ら ROSENBERG,HEHNER r196Z)

    5 104

    ENERGY(EV)

    Fig. 38

    -53-

    5 105 5 10S

  • HG->〉

    5 102 5 103 5 104

    ENERGY〔E〉)

    Fig. 39

    -54-

    5ト・・・-1

    iiZI

    (ノつ

    ∋=

    ⊂⊃

    ト-

    ⊂10~lヽ___■

    ゝ-

    りG->V

    ∩ hlEHNER r1957J

    5 LRECRE7D.hEHNER [1961)

    C HEHNER.ROSENBERG (1961)

  • HE->CR

    HE->CR

    ∩ ROSENBERG.HEHNER t1962)

    Fig. 40

    -55-

  • 喜喜

    喜匡喜

    賀喜∈童

    喜岳声嚢

    ・・.≡萱巨童

    璽i≡≡

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    喜!.1・ >

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    壷L".

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    5

    5

    重要

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    ⊂亡10ヽ.._.__■

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    NE->CR

    ∩ LREGRE7D.hEHNER (1961J

    Fig. 41

    -56-

  • RR->CR

    Z

    〔⊃ 5トー・」

    iZ5

    l∽∋=

    ⊂⊃

    ⊂10~Ⅰ2■芦Ei

    >-

    5

    5 102 5 103

    RR->CR

    q STU∩RT.いEHNER r1960)

    ら LREGRETD,HEHNER r19611

    -

    5

    ENER GY〔E〉)1

    Fig. 42=

    -

    57- .竃

  • CR->CR

    Bノ′

    月//

    5ト・-1

    iZI

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    >-5 /

    //

    /

    B/

    lrJ-

    --

    - - ~-

    --

    iコ

    5 102 5 103

    CR->CR

    R qLMEN.8FモUCE (1961BJ

    B りqY山RRD.hOLT巳R r196g)

    5 10ヰ

    ENERGY〔E〉j

    Fig. 4金

    一58- -.J

    5 105

  • KR->CR

    KR->CR

    ∩ qLMEN.BRUCE (1961R】

    a ROSENBERG,hEHNER r1962)

    Fig. 44-

    -59-∴享

  • XE->CR

    Fig. 45∴

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    ⊂⊃

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    iiZ!

    U~〕

    ∋=

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    ⊂工10ヽ__._∫

    >-

    5

    5

    XE->CR

    q ROSENBERG,hEHNER (1962)

  • ■■

    ⊂=一

    Fig. 46

    -61-

    HG->CR

    R HEHNER (1957)

    B HEHNER (1958)

    C STURFミT.h[EHNER ど1960)

    D LREGREID.HEHNER (1961)

    E RSKEROV.SEト伯 r1969)

  • II

    l

    .

    _ー

    ーー

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    K-R->MN

    喜喜Ill

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    i

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    1

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    5 106

    Il

    -

    iLlー-

    5 10§5 104

    ENERGY〔E〉)

    Fig. 47

    i

    EJEiヨ

    ・---

    ・壬垂エー→一重i■≡

    5 1035 102

    上=--ヽ

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    ⊂⊃ 5卜・-■

    iZ?

    ∋=

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    Ⅱ1ロー1ヽ___∫

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    5

    KR->MN

    ∩ ROSENBERG,hEHNER r19S2)

  • ×E->一門N

    ■■■

    1I

    一■

    ノ■

    E=i

    I5

    /再

    Z

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    iZ!

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    ⊂10~1†_ --I

    ゝ-

    5

    //

    /R

    5 102

    I I I ) JT[t II

    5 104

    ENERGY(EV)

    Fig. 48

    -63- ∴:.I.

    /

    //R/

    /

    / q

    / R

    」__ =

    _」」出ニ=5 103

    XE->MN

    ∩ ROSEN8ERG,hEHNER (1962)

    一一-

    - - -■ -l-■ -

    J⊥⊥u⊥___⊥_⊥⊥⊥⊥⊥⊥」5 105 5 10日

  • HE->FE

    HE->FE

    R ROSENBERG,山EHNER (1962J

    Fig. 49

    -64一声シiL二

  • i

    Fl

    巨ii

    E喜【E トー

    ∃iZI

    声望巨〔⊃1

    u=

    F ⊂⊂ヽ__.一′

    >-

    100

    N->FE

    5 102 5 103 5 104

    ENERGY〔E〉j

    N->FE

    ∩ BqDER.HⅠTTE60NE.SNeUSE (1960)

    Fig.. 50

    -65-

    5 105 5 106

  • NE->FE

    声音

    ⊂⊃ 5l・・--1

    iZI

    (ノつ

    ∋=

    〔⊃

    トー

    ⊂10一王ヽ__′

    、ゝ-

    5 102 5 103

    NE->FE

    R qLMEN.BRUCE r1961R)

    5 LRECREID.hEHNER (1961J

    .5104

    ENERGY〔EV)

    Fig. 51

    -6.6- :,Tt:.

    5 105 5 10う

  • RR->FE

    Z

    ⊂⊃ 5

    卜ー

    iiZ?

    lu'E⊂〕

    ⊂10~1し ノ

    ラ-5

    ら 102 5

    ENERGY(EV)

    qR->FE

    ∩ qLMEN.BRUCE (1961R)

    B LREGREH】.トIEHNER (1961j

    C PRTTERSON.TOMLTN r1962)

    D KOS日代7N.RYSOV.SHKRRBRN (1969)

    Fig. 52

    -67-

  • KR->FE

    重責

    ⊂) らトー・J

    gヨ

    Uつ

    ∑=

    ⊂⊃

    トー

    ⊂10-1ヽ_ J

    i=

    5

    ら 1ロ2 5 103 5 104

    ENERGY(E〉j

    KR->FE

    ∩ qLMEN.BRUCE fi961R)

    B 【ミOS巳NBERG.山EHNER ( 1962)

    C KOSHKIN.RYSOV.SHKqRBqN 【1969)

    Fig. 53

    -68-L:!

    5 105

  • ?

    ′~ヽ

    Z

    ⊂⊃ ら

    伝…⊂⊃トー

    cE IO~iLTウ■■コ

    >-

    5

    ×E->FE

    ら 102 5 103 5 104

    ENERGY(EV)

    XE->FE

    ∩ qLMEN.8RUCE f1961R)

    B ROSEN8ERG,HEHNER (196Z)

    C KOSHKIN.RYSOV.SHKRR8qN (196g)

    F土g. 54

    -69-

    5 105 5 10S

  • CS->FE

    ⊂⊃

    トー

    iZI

    ZiE

    ∑二

    ⊂:⊃

    ト一

    口=

    ヽ___∫

    >-

    CS->FE

    ∩ KOSHKTN.RYSOV.SHKqRBqN f1969)

    F土9. 55

    -70-.

    宅弓

  • HG->FE

    Fr

    iiFI

    IE

    ′-ヽ

    巨岩

    ←萎I

    i

    ヽ_.__.′

    i

    E>-

    1

    i

    l

    5 102 5 103

    HG->FE

    R =EHNER ('1957J

    B NEHNER (1959J

    C LREGRE7D.HEHNER (1961J

    D HEHNER.ROSENBERG (1961)

    E RSr(EROV.SENR I 1969J

    F りOLMEN.qLMEN 【1969,I

    G TSMqTL r19フOj

    5 104

    ENERGY(EV)

    Fig. 56

    -71-

    5 10う 5 106

  • .HE->CO

    ら「→

    iZS

    Uつ

    ∋二

    ⊂⊃

    ⊂10-1ヽ__ー

    ~-

    5

    5 102 5 103

    HE->CO

    ri ROSE.NBERG,山EHNER (1962)

    5 104

    ENERGY【E〉j

    Fig. 57l

    -72-;

    5 10う

    1

    惑「】

    】】

    l

    J

  • NE->CO

    Z

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    ⊂亡10ヽ__′

    >-

    5

    5

    5 102 5 103

    NE->Cロ

    コ LREGRE一口.山EHNER (i961)

    5

    ENERGY〔E〉j

    Fig. 58

    -73-

  • RR->C^0

    5己==記

    iZ!

    (/つ

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    〔⊃

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    5

    5 1ロ2 5 103

    RR->CO

    q PERT.C〇LOMBIE.FqGOT (1961)

    5 LRECRETD.hEHNER (1961J

    C STURFモT.HEHNER (1962)

    5 104

    ENERGY〔E〉)

    Fig. 59

    -74- :,:.;

    li

    】】

    1::i

  • CO->CO

    5 102 5 103 5 104

    ENERGY(E〉)

    Fig. 60

    -75-1・・=.

    5 105 5 10S

    Z

    ⊂⊃ 5===」

    iZS

    l望⊂⊃

    トー

    ⊂10-iヽ__...′

    >-

    5

    Cロー>CO

    ∩ qLMEN.BRUCE t1961B)

    B FロNTELL.qRMⅠNEN r1969J

  • KR->CO

    5 102 5 1ロコ

    ⊂⊃ らI---1

    iZ!⊇

    (∫)

    ≡ニ

    〔⊃i

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    Ⅱ10~1___■′

    ヽ__

    KR->CO

    R qLrlEN.BRUCE (i961RJ

    弓 ROSENBERG,kEHNER (i962)

    r DRりLGREN.MCCLRNRHqN f 197ZJ

    5 1ロ1 5 1Oう

    ENERGY(E〉j

    Fig. 61

    -76一義㌔l

    5 10S

  • ×E->CO

    5

    ENERGY(E〉j

    Fig. 62

    -77-、~

    5 102

    Z

    ⊂⊃ bト・-」

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    _∫

    >-5

    XE->CO

    R ROSEN8ERG,いEHNER r1962)

    l

  • HG->COき -

    5

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    -ヽ

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    Ln

    ∑ニ

    ⊂⊃

    トー

    cr 10-Iヽ___一

    >-

    5

    5 102 5 103

    HC->CO

    ∩ HEHNER (1957】

    5 LREGRETD.山EHNER (1961)

    C =EHNER.ROS巳NBERG f1961J

    D RSr(EROV.SENR r1969)

    5

    ENER

    Fig. 63

    GY(E〉)

    -78-1-.こご

  • ・H->NI

    5 103 5 104

    EN・ERGY(EV)

    5 10弓 5 106

    Z

    ⊂) 5F==E

    iZI

    l望⊂)

    ⊂10~lヽ___■

    >-

    5

    H->NI

    ∩ KEN〆NIG-HT,いEHNER r1964)

    ら BO目口RNSlくY.BqY.ROTH r1977)

    Fig. 64

    ⊥79一 癖

    I

  • D->NⅠ

    Z

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    5 104

    ENERGY〔E〉j

    Fig. 65

    -80-・‥・

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    :,(?

  • 5 105 5 106

    ENERGY〔`E〉)

    HE->NI

    ∩ ROSEN8ERG,山EHNER 【1962J

    a FETZ.OECHSNER 〔1963j

    C BOHDRNSKY.B∩Y,ROTH 【1977)

    D B∩Y.BOHロRNSKY.HECHTし r1979)

    Fig. 66

    -81- ∴

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    5 102 5 103 5 10ヰ

    ENERGY〔E〉〕

    0->NI

    ∩ 巴RY.BOHDRNSr(Y.HECHTL (1979)

    Fig. 67

    -I.琴丁皇萎-

    5 105 5 106

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    Fig. 68 書.7毒 二「

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    ∩ qLMEN.8RUCE r1961RJ

    ら FERT.CLOMBIE.CHUONG r1961J

    C LREGREIロ.HEHNER (1961)

    D STU∩RT.HEHNER (1962J

    E FETZ.OECHSNER (1963J

    F BRY.BOHDRNS代Y.りECHTL 【1979)

    Fig. 69

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    J

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    Nト>NI

    ∩ qLMEN.BRUCE (1961B)

    ら FONTELL.qRMTNEN f1969】

    C HECHTL.BqY.BO目口RNS代Y f1978j

    Fig. 70

    -85-㌔三二

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    5

    5 102 5 103 5 104

    ENERGY〔E〉j

    KR->NI

    R qLMEN.6RUCE (1961R】

    6 ROSENBERG,HEHNER (19623

    C FETZJロECHSNER 【1963J

    O [】RりLGREN.MCCLRNRりRN ( 1972J

    E 5qY.BOHDRNSp(Y.HECHTL (1979J

    Fig. 71

    186- I:./'l

    5 10eJ 5 10弓

  • -,,-5

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    Z

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    R RLMEN.8RUCE r1961R)

    B ROSENBERG.如EHNER r1962J

    C FETE.OECHSNER r1963)

    D BRY.BOHDRNSKY.tlECHTL f1979)

    Fig. 72

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    5 105 5 10弓

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    Fig. 73'

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    5 102 5 103 5 104

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    8 ROSENB亡RG,HEHNER (1962)

    Fig. 74

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    R 甲OL.FLUIT.代JSTE.M∩KER (1960)

    B qLMEN.BRUCE r1961B)

    Fig. 75

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    a YONTS,NORMRND.HRRRISON (1960)

    C RLMEN.日RUCE 【1961R)

    D LREGRETD.HEHNER (1g61)l

    E HEH.HER.S†URRT.ROSEN8'ERG r 1961 ∫

    F 口UPP.SCHRRMRNN 【1966)

    G HErJSENFELロ[1966)

    I-.

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    Fig. 76

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    Fig. 77

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    ら GUSEVR 【1960j

    C ROL.FLLITT.代T_S†EMqKERロ YONTS.NORMFirND..りRRRTS7o

    ( 19-60J

    N (1960)

    E.. RLMEN・BRUCE r19:61R】

    F FERT.C8LロMBr巨..FqGOT r196l`)

    C LRECRETD.hEHNER (1961】

    H PER8VIC.C臼~BIr (1961J

    7 日EHNER.STU∩RT.ROSENBERG (19611

    J SOUTHERN.HTL.LIS.ROBTNSON (1963)

    K

    L

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    HER.NRRRSIMりRM.REYNOLロS (1964)

    PP.SCHRRMqNN (1966)

    HE7JSENFELD (1966J

    r(OSHKIN.RYSOV.S日代RRBRN ( 1.969J

    O RKR◆ⅠSHI.MTYRHRRR,KqBEYR (1977)

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    5 102 5 103 5 104

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    R GUSEVR (1960J

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    C RLMEN.BRUCE r1961B)

    D FロNTELL.qRM!NEN (1969J

    E HqYHRRD.山OLTヒR (1969)

    Fig. 78

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    5 102 5 103 5 10ヰ

    ENERGY(E〉)

    KR->CU

    ∩ lくEYレほL L (1955)

    8 GUS巳VR (1960)

    「 YONTS.NORMqN口.りRRRISON r1960)

    D RLMEN.BRUCE (1961RJ

    E HEHNER,STU∩RT.ROSE.NBERG r1961)

    F' ROSENBERG,hEHNER (1962)

    G DUPP.SCHqRMqNN r1966)

    H KOSHKIN.RYSO〉.SHKRRBqN 【1969)

    -94-

    5 105

    Fig. 79

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    ∩ GUSE〉R 【1960】

    ら qLMEN.BRUCE r1961R)

    C HEHNER.STU∩RT.ROSENBERG r1961)

    D ROSENBERG,HEHNER (1962)

    E STU∩RT.HEHNER (1962)

    F D〕PP.SCHRRMqNN (1966J

    G KOSHK7N.RYSOV.SHKRRBq卜J t1969)

    Fig. 80

    -95-

  • CS->C〕

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    ∩ qLMEN.6FミUCE (1961BJ

    B KOSHKIN.RYSOV.SHKRRBqN f1969)

    Fig. 81

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    cE 10-1■■■i

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    ∩ hlEHNER r1957)

    B COL.FLUTT.r(TST巳MqKER (196O)

    C RLMEN.BRUCE (1961B)

    ロ LREGRETD.山EHNER (1961J

    E hlEHNER,ROSENBERG (1961】

    F qSKEROV.SENR r1969)

    G ISMqTL 【19フロJ

    Fig. 82

    -97-p

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    5

    5 102 5 103 5 104

    ENERGY(EV)

    PB->CUI

    ∩ qLMEN.BRUCE (19618)

    6 KOSHPくⅠN.RYSOV.SHKqRBqN r1969J

    Fig. 83

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    5 105 5 106

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    5

    ENER

    Fig. 84

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    5 103

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    5 104

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    Fig. 85

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    5 102 5 103 5 104

    ENERGY(E〉)

    RR->GE

    ∩ LRECRETD.山EHNER r1961J=1

    8 SOMMERFELDT,MqS日代O〉R r1972)

    Fig. 86

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    R ROSENBERG,HEHNER (1962)

    5 STURRT.HEHNER r1962)

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    ENERGY(E〉)

    Fig. 87

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    5 105 5 106

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    5 102 5 103

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    ∩ ROSEN【∋ERG-,山EHNER 【1962J

    5 104

    ENERGY(E〉)

    Fig. 88

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    R 山EHNER (1957J

    5 103 5 104

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    Fig/・ 89

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    5 102 5 103

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    R FモOSEN6ERG.LIEHNER ( 1962)

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    Fig. 90

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    5 10rJ 5 106

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    R MqRTYNEトIr(O ( 1963)

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    Fig.、91

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    5 103

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    ∩ LREG・RETD.HEHNER r196i)

    5 104

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    Fig. 92

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    5 10う 5 106

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    q LRECRElロ,山EHNER (1961J

    5 104

    ENERGY〔E〉j

    ヽI

    Fig. 93

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    5 105 5 106

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    5 102 5 103

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    ∩ qLMEN.BRUCE 【1961RJ

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    5 104

    ENERGY(E〉)

    Fig. 94

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    5 105 5 106

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    XE->ZR

    q ROSENBERG.hEHNER r1962)

    5 104

    ENERGY(EV)

    Fig. 95

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    q =EHNER [1957)

    ら LZLGREID.hEHNER fi961J

    C RS代EROV.SENR r1969)

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    ENERGY(EV)

    Fig. 96

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    B ロLLERHERD.MqNN.r(NEFF. t137SJ

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    Fig. 97

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    5 102 5 103 5 104

    ENERGY(EV)

    D->NB

    q SUMMERS.FREE.MqN.ロRLY f1971)

    Fig. 98

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    R ROSEN6ERG.hEHNER (1962)

    ら SUMMERS.FFほヒMqN.DRLY 【1971)

    C GUSEVR,MqRTYNEN代O f1976)

    Fig. 99

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    8 STURRT.hEHNER (1962J

    Fig. loo

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    5 STURRT.hEHNER 【1962J

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    O SMてTH,MEYER.しRYTON fi975j

    Fig. 101

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    5 102 5 103 5 104

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    r(R->NB

    q qLMEN.BRUCE t1961BJ

    B ROSENBERG.HEHNER (1962J

    C KOSHKTN.RYSOV.SHKqFほqN r1969J

    Fig. 102

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    q qLMEN.BRUCE r1961B)

    6 SUM「lERS.FREヒMqN.DRLY r1971)

    Fig. 103

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    q ROSENBERG,hEHNER (1962J

    6 KOSHKIN.RYSO〉.SHKRR6qN r1969j

    Fig. 104

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    5 10S5 101

    ENERGY(EV)

    5 1O5う 102 5 103

    CLJ->N6

    q KOSHKIN.Rl(Soy.SHKRRBqN (1969)

    Fig. 105

    -120一首-

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    q =EHNER (1957J

    B LZECFほ丁ロ.hEHNER (1961J

    C RSrくEROV.SENR r1969J

    5 104

    ENERGY〔E〉)

    Fig. 106

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    Z

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    5

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    R FTNFGELロ(1975)-

    ら BOHDRNSKY.ROTH.SINHq r1976J

    C BqY.RrJTH.BOHロRNSKY 〔1977)

    ロ 0日TSUKq.YRMqロR,SOME r1978)

    E SONE.OHTSUKR.qBE (1977J

    Fig. 107

    -122-

    .

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    ∩ FTNFGELロ(1975j

    6 6qY.RUTH,BOHDRNSKY f1977)

    5 10ヰ

    ENERGY(E〉j

    Fig. 108

    -123-

    5 1ロ5 5 106

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    ら卜ー

    iZI

    U7

    ∑=

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    Ⅱ10-iヽ J

    >-5

    5 102 5 103 5 104

    ENERGY(E〉j

    HE->MO

    ∩ ROS巳NBERG.いEHNER ( 1962)

    5 GUSEVR,MqRTYNENKO (1976)

    C SHTTKOレJSKT.MqNN.KNEFF r1976)

    D 6qY.可OTH.BORDRNSKY r1977)

    Fig・・ 1P9

    24-「 !ヰt;i (.:. .t'..:て::i

    5 105 5 10ち芦

  • NE->MO

    巨当

    ⊂)トー」

    iZ5

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    5

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    ら LRECRElロ.山EHNER (1961J

    Fig. ilo

    -125-・. ∴

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    iZI

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    6 qLMEN.BRUCE 【196iR)

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    D T(DSijKIN.RYSOV.5日KqR6RN (上96gJ

    E ShITKOHSlくT.M∩NN.代NEF・F (1976)

    F' EMrlOTH.FRIED.6RqUN r1978J

    Fig. lil -

    -1L2'6一語ま量

    5 1O5

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    5トーJ

    iZ?

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    KR->MO

    R qLMEN.臼RUCE r1961R)

    6' ROSE.NBERG.hEHNER ( 1962)

    C KOSHK†N.RYSOV.SHKRR8qN r1969)

    Fig. 112

    -127-

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    3 ROSENBERG,hEHNER (196Z)

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    Fig. 113

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    Fig. 114

    -129-

  • HG->MO

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    8 日EHNER r1959)

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    F RSKERO〉.S巳NR (1969)

    F りEPHORTH r1970J

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    Fig. 115

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    Fig. 117

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    Fig. 122

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    Fig. 123

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    6 LREC・RE7D.hEHNER r1961J

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    Fig. 130

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    6 【ミOSENBERG.如EHNER ど196Z)

    i

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    6 rモロSENBERG,山EHNER ( i962J

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    6 LREGRETD,如EHトニER r1961J

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    Fig. 136

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    E L RECRETD.hEHNER (1961)

    F PEROVTC.COB!C (1961?I

    G hEHNER.ROS巳NBE.RG (1961)

    !1 RqMER.NRFモRSTMりqM`REYNOLDS r1964)

    ! SPl!TH,MEYER.LRYTON r1975)

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    R KEYhELL 【1955)

    B GUS巳〉R r1960J

    C RLMEN.BRUCE t196iRJ

    D HEHNER.STURrモT.ROSENBERG ( 1961J

    E ROSENBERG,hEHNER (1962】

    F DRりLGREN.MCCLRNRりqN r197ZJ

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    Fig. 138

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    Fig. 144

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    6 FONTLL L.qRMTNEN (1969)

    5 104

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    Fig. 145 ・-i

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    Fig. 146

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    5 102 5 103 5 104

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    Fig. 147

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    Fig. 148

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    q LRE_CRETD.hEHNER (1961j

    5 104

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    Fig. 149

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    Fig. 150

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    Fig. 151

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    Fig. 153

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    Fig. 155

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    Fig. 156

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    Fig. 157

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    Fig. 158

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    Fig. 159

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    B LRECREID.hEHNER (i3Sl)

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    5 104

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    Fig. 160

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    Fig. 161

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    ∩ qLMEN.6RUCE (1961RJ

    B ROSENBERG,HEHNER( 19S2)

    C STRRT.HEHNER (1962)

    D KOSHKTN.RYSOV.SHKqFく6RN r1969J

    Fig・. 162

    -177-㌍,与T

    5 105 5 10う

  • ×E->山

    ら【===コ

    iZ5

    (′〕

    ∑=

    ⊂⊃

    ⊂10~1ヽ

    >-

    10~3L I I I I tII I

    5 10i

    ENERGY〔E〉j

    5 102 5 103

    XF.・・>H

    〔 qL「?EN.BRUCE t1961R)

    6 rミOSEN6ERG.山EHNER r19S2)

    C STU∩RT,HEHNER (1962J

    D lく〇5日KIN.RYSOV.5日KR〉BRN f19S9)

    Fig..163


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