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Statistical Thermodynamics of Point Defects in Crystals

  • A. D. Franklin

Abstract

Point defects play an important part in determining the physical properties of most crystalline substances, most notably those controlling the transport of matter and the properties that stem from it. They also strongly influence the resistivity of metals by scattering conduction electrons, the low-temperature thermal conductivity of all crystalline solids by scattering phonons, the electronic conduction and related properties of semiconductors by acting as donors or acceptors, and the optical properties of ionic solids by introducing electron states with optical transitions, to name a few examples. They are the primary principal product in irradiation of crystals by energetic particles, and their subsequent behavior very much determines the nature of the damage suffered by the crystal during irradiation and the recovery processes that occur during subsequent annealing.

Keywords

Point Defect Cation Vacancy Anion Vacancy Vacancy Formation Alkali Halide 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    F. A. Kroger and H. J. Vink, in Solid State Physics, Vol. 3, Ed. by F. Seitz and D. Turnbull (Academic Press, New York, 1956), p. 307.Google Scholar
  2. 2.
    J. E. Mayer and M. G. Mayer, Statistical Mechanics (Wiley, New York, 1940), p. 219.MATHGoogle Scholar
  3. 3.
    A. R. Allnatt and M. H. Cohen, J. Chem. Phys. 40, 1860 (1964).ADSCrossRefGoogle Scholar
  4. 4.
    A. B. Lidiard, Phys. Rev. 94, 29 (1954).ADSCrossRefGoogle Scholar
  5. 5.
    A. B. Lidiard, Phys. Rev. 112, 54 (1958).ADSCrossRefGoogle Scholar
  6. 6.
    F. K. Fong, Phys. Rev. 187, 1099 (1969).ADSCrossRefGoogle Scholar
  7. 7.
    R. E. Howard and A. B. Lidiard, Rept. Progr. Phys. 27, 161 (1964).ADSCrossRefGoogle Scholar
  8. 8.
    F. A. Kroger, The Chemistry of Imperfect Crystals (North-Holland Publishing co., Amsterdam, 1964).Google Scholar
  9. 9.
    H. C. Abbink and D. S. Martin, J. Phys. Solids 27, 205 (1966).ADSCrossRefGoogle Scholar
  10. 10.
    R. G. Fuller, M. H. Reilly, C. L. Marquardt, and J. C. Wells, Jr., Phys. Rev. Letters 20, 662 (1968).ADSCrossRefGoogle Scholar
  11. 11.
    R. G. Fuller, C. L. Marquardt, M. H. Reilly, and J. C. Wells, Jr., Phys. Rev. 176, 1036 (1968).ADSCrossRefGoogle Scholar
  12. 12.
    F. K. Fong, Phys. Rev. B 2 (Oct. 1) (1970).Google Scholar
  13. 13.
    M. P. Tosi and G. Airoldi, Nuovo Cimento 8, 584 (1958).CrossRefGoogle Scholar
  14. 14.
    A. B. Lidiard, private communication (1966); notes on lectures delivered at the University of Milan, March 1966.Google Scholar
  15. 15.
    J. S. Anderson, Proc. Roy. Soc. (London) A185, 69 (1946).ADSGoogle Scholar
  16. 16.
    K. Hagemark, Kjeller Reports KR-48 and KR-67 (1964).Google Scholar
  17. 17.
    R. H. Fowler and E. A. Guggenheim, Statistical Thermodynamics (University Press, Cambridge, 1939), Chapter 9.MATHGoogle Scholar
  18. 18.
    L. M. Atlas, J. Phys. Chem. Solids 29, 91 (1968).ADSCrossRefGoogle Scholar
  19. 19.
    L. M. Atlas, J. Phys. Chem. Solids 29, 1349 (1968).ADSCrossRefGoogle Scholar
  20. 20.
    A. R. Allnatt and M. H. Cohen, J. Chem. Phys. 40, 1871 (1964).ADSCrossRefGoogle Scholar
  21. 21.
    J. Frenkel, Kinetic Theory of Liquids (Clarendon Press, Oxford, 1946), p. 37.MATHGoogle Scholar
  22. 22.
    K. Lehovec, J. Chem. Phys. 21, 1123 (1953).ADSCrossRefGoogle Scholar
  23. 23.
    J. D. Eshelby, C. W. A. Newey, P. L. Pratt, and A. B. Lidiard, Phil. Mag. 3, 75 (1958).ADSCrossRefGoogle Scholar
  24. 24.
    K. L. Kliewer and J. S. Koehler, Phys. Rev. 140, A1226 (1965).ADSCrossRefGoogle Scholar
  25. 25.
    K. L. Kliewer, Phys. Rev. 140, A1241 (1965).ADSCrossRefGoogle Scholar
  26. 26.
    G. Boato, Cryogenics 4, 65 (1964).CrossRefGoogle Scholar
  27. 27.
    G. L. Pollack, Rev. Mod. Phys. 36, 748 (1964).ADSCrossRefGoogle Scholar
  28. 28.
    G. K. Horton, Am. J. Phys. 36, 93 (1968).ADSCrossRefGoogle Scholar
  29. 29.
    R. M. J. Cotterill and M. Doyama, Phys. Letters 25A, 35 (1967).ADSGoogle Scholar
  30. 30.
    R. O. Simmons and R. W. Balluffi, Phys. Rev. 117, 52 (1960).ADSCrossRefGoogle Scholar
  31. 31.
    O. G. Peterson, D. N. Batchelder, and R. O. Simmons, Phil. Mag. 12, 1193 (1965).ADSCrossRefGoogle Scholar
  32. 32.
    B. L. Smith and J. A. Chapman, Phil. Mag. 15, 739 (1967).ADSCrossRefGoogle Scholar
  33. 33.
    W. van Witzenburg, Phys. Letters 25A, 293 (1967).ADSGoogle Scholar
  34. 34.
    J. D. Eshelby, Acta Met. 3, 487 (1955).CrossRefGoogle Scholar
  35. 35.
    D. L. Losee and R. O. Simmons, Phys. Rev. Letters 18, 451 (1967); Phys. Rev. 172, 934 (1968).ADSCrossRefGoogle Scholar
  36. 36.
    A. J. E. Foreman and A. B. Lidiard, Phil. Mag. 8, 97 (1963).ADSCrossRefGoogle Scholar
  37. 37.
    L. S. Salter, Trans. Faraday Soc. 59, 657 (1963).CrossRefGoogle Scholar
  38. 38.
    R. H. Beaumont, H. Chihara, and J. A. Morrison, Proc. Phys. Soc. (London) 78, 1462 (1961).ADSCrossRefGoogle Scholar
  39. 39.
    I. H. Hillier and J. Walkley, J. Chem. Phys. 43, 3713 (1965).ADSCrossRefGoogle Scholar
  40. 40.
    P. Flubacher, A. J. Leadbetter, and J. A. Morrison, Proc. Phys. Soc. (London) 78, 1449 (1961).ADSCrossRefGoogle Scholar
  41. 41.
    J. Kuebler and M. P. Tosi, Phys. Rev. 137, A1617 (1965).ADSCrossRefGoogle Scholar
  42. 42.
    A. O. Urvas, D. L. Losee, and R. O. Simmons, J. Phys. Chem. Solids 28, 2269 (1967).ADSCrossRefGoogle Scholar
  43. 43.
    D. L. Losee and R. O. Simmons, Phys. Rev. 172, 944 (1968).ADSCrossRefGoogle Scholar
  44. 44.
    V. G. Manzhelii, V. G. Gavrilko, and V. I. Kuchner, Phys. Stat. Solidi 34, K55 (1969).ADSCrossRefGoogle Scholar
  45. 45.
    A. C. Damask and G. J. Dienes, Point Defects in Metals (Gordon and Breach, New York, 1963).Google Scholar
  46. 46.
    L. A. Girifalco and D. O. Welch, Point Defects and Diffusion in Strained Metals (Gordon and Breach, New York, 1967).Google Scholar
  47. 47.
    M. W. Thompson, Defects and Radiation Damage in Metals (Cambridge University Press, Cambridge, 1969).Google Scholar
  48. 48.
    A. Seeger and D. Schumacher, in Lattice Defects in Quenched Metals, Ed. by R. M. J. Cotterill, M. Doyama, J. J. Jackson, and M. Meshii (Academic Press, New York, 1965), p. 15.Google Scholar
  49. 49.
    A. Seeger, in Theory of Crystal Defects, Ed. by B. Gruber (Academic Press, New York, 1966), p. 38.Google Scholar
  50. 49a.
    A. Seeger, D. Schumacher, W. Schilling, and J. Diehl (eds.), Proc. Int. Conf. on Vacancies and Interstitials in Metals, Julich, 1968 (North-Holland Publishing Co., Amsterdam, 1970).Google Scholar
  51. 50.
    N. H. Nachtrieb, J. A. Weil, E. Catalano, and A. W. Lawson, J. Chem. Phys. 20, 1189 (1952).ADSCrossRefGoogle Scholar
  52. 51.
    G. V. Kidson and R. Ross, in Proc. of the Conference on Radioisotopes in Scientific Research, Vol. I, Ed. by R. C. Extermann (Pergamon, New York, 1958), p. 185.Google Scholar
  53. 52.
    A. Seeger, G. Schottky, and D. Schumacher, Phys. Stat. Solidi 11, 363 (1965).ADSCrossRefGoogle Scholar
  54. 53.
    A. Seeger and D. Schumacher, in Materials Science and Engineering, Vol. 2 (1967), p. 31.CrossRefGoogle Scholar
  55. 53a.
    R. E. Howard, Phys. Rev. 144, 650 (1966); 154, 561 (1967).ADSCrossRefGoogle Scholar
  56. 54.
    H. Mehrer and A. Seeger, Phys. Stat. Solidi 35, 313 (1969).ADSCrossRefGoogle Scholar
  57. 55.
    H. Mehrer and A. Seeger, Phys. Stat. Solidi 39, 647 (1970).ADSCrossRefGoogle Scholar
  58. 56.
    A. Seeger and H. Mehrer, Phys. Stat. Solidi 29, 231 (1968).ADSCrossRefGoogle Scholar
  59. 57.
    D. Schumacher, A. Seeger, and O. Härlin, Phys. Stat. Solidi 25, 359 (1968).ADSCrossRefGoogle Scholar
  60. 58.
    A. D. LeClaire, “Correlation Effects in Diffusion in Solids,” in Physical Chemistry, An Advanced Treatise, Vol. X, Ed. by W. Jost (Academic Press, New York, 1970), p. 261.Google Scholar
  61. 59.
    S. J. Rothman and N. L. Peterson, Phys. Stat. Solidi 35, 305 (1969).ADSCrossRefGoogle Scholar
  62. 60.
    L. W. Barr and A. D. LeClaire, Proc. Brit. Ceram. Soc. 1, 109 (1964).Google Scholar
  63. 61.
    D. P. Gregory, Acta Met. 11, 623 (1963).CrossRefGoogle Scholar
  64. 62.
    A. C. Damask and G. J. Dienes, Phys. Rev. 120, 99 (1960).ADSCrossRefGoogle Scholar
  65. 63.
    T. Mori, M. Meshii, and J. W. Kauffman, J. Appl. Phys. 33, 2776 (1962).ADSCrossRefGoogle Scholar
  66. 64.
    C. P. Flynn, J. Bass, and D. Lazarus, Lattice Defects in Quenched Metals, Ed. by R. M. J. Cotterill, M. Doyama, J. J. Jackson, and M. Meshii (Academic Press, New York, 1965), p. 639.Google Scholar
  67. 65.
    R. O. Simmons, J. Phys. Soc. Japan 18 (Suppl. II), 172 (1963).Google Scholar
  68. 66.
    N. F. Mott and H. Jones, The Theory of the Properties of Metals and Alloys (Clarendon Press, Oxford, 1936).Google Scholar
  69. 67.
    R. O. Simmons, and R. W. Balluffi, Phys. Rev. 119, 600 (1960).ADSCrossRefGoogle Scholar
  70. 68.
    F. J. Bradshaw and S. Pearson, Proc. Phys. Soc. (London) 69B, 441 (1956).ADSGoogle Scholar
  71. 69.
    K. Misek and J. Polák, J. Phys. Soc. Japan 18 (Suppl. II), 179 (1963).Google Scholar
  72. 70.
    Y. Fukai, Phil. Mag. 20, 1277 (1969).ADSCrossRefGoogle Scholar
  73. 71.
    R. J. Berry and J. L. G. LaMarche, Phys. Letters 31A, 319 (1970).ADSGoogle Scholar
  74. 72.
    R. R. Conte and J. Dural, Phys. Letters 27A, 368 (1968).ADSGoogle Scholar
  75. 73.
    K. P. Chik, in International Conference on Vacancies and Interstitials in Metals, Julich Conference 2, Vols. I, II (obtainable from Zentralbibliothek der Kernforschungsanlage Julich GmbH, Julich, Germany); 1970, Vacancies and Interstitials in Metals, Ed. by A. Seeger, D. Schumacher, W. Schilling, and J. Diehl (North-Holland Publishing Co., Amsterdam, 1968), p. 183.Google Scholar
  76. 74.
    C. J. Meechan and J. A. Brinkman, Phys. Rev. 103, 1193 (1956).ADSCrossRefGoogle Scholar
  77. 75.
    H. B. Huntington and F. Seitz, Phys. Rev. 61, 315 (1942).ADSCrossRefGoogle Scholar
  78. 76.
    R. O. Simmons and R. W. Balluffi, Phys. Rev. 125, 862 (1962).ADSCrossRefGoogle Scholar
  79. 77.
    B. Okkerse, Phys. Rev. 103, 1246 (1956).ADSCrossRefGoogle Scholar
  80. 78.
    S. M. Makin, A. H. Rowe, and A. D. LeClaire, Proc. Phys. Soc. (London) B70, 545 (1957).ADSGoogle Scholar
  81. 79.
    D. Duhl, K.-I. Hirano, and M. Cohen, Acta Met. 11, 1 (1963).CrossRefGoogle Scholar
  82. 80.
    H. M. Gilder and D. Lazarus, J. Phys. Chem. Solids 26, 2081 (1965).ADSCrossRefGoogle Scholar
  83. 81.
    A. Gianotti and L. Zecchina, Nuovo Cimento 40B, 295 (1965).ADSGoogle Scholar
  84. 82.
    U. Ermert, W. Rupp, and R. Sizmann, in International Conference on Vacancies and Interstitials in Metals, Julich Conference 2, Vols. I, II (obtainable from Zentralbibliothek der Kernforschungsanlage Julich GmbH, Julich, Germany, 1968), p. 30.Google Scholar
  85. 83.
    W. De Sorbo, Phys. Rev. 117, 444 (1960).ADSCrossRefGoogle Scholar
  86. 84.
    D. Jeannotte, and E. S. Machlin, Phil. Mag. 8, 1835 (1963).ADSCrossRefGoogle Scholar
  87. 85.
    J. A. Ytterhus and R. W. Balluffi, Phil. Mag. 11, 707 (1965).ADSCrossRefGoogle Scholar
  88. 85.
    F. J. Kedves and P. deChatel, Phys. Stat. Solidi 4, 55 (1964).ADSCrossRefGoogle Scholar
  89. 86.
    T. Kino and J. S. Koehler, Phys. Rev. 162, 632 (1967).ADSCrossRefGoogle Scholar
  90. 87.
    J. Burton and D. Lazarus, Phys. Rev. B2, 787 (1970).ADSGoogle Scholar
  91. 88.
    C. Lee and J. S. Koehler, Phys. Rev. 176, 813 (1968).ADSCrossRefGoogle Scholar
  92. 89.
    A. Camanzi, N. A. Mancini, E. Rimini, and G. Schianchi, in International Conference on Vacancies and Interstitials in Metals, Julich Conference 2, Vols. I, II (obtainable from Zentralbibliothek der Kernforschungsanlage Julich GmbH, Julich, Germany, 1968), p. 154.Google Scholar
  93. 90.
    R. P. Heubener and C. G. Homan, Phys. Rev. 129, 1162 (1963).ADSCrossRefGoogle Scholar
  94. 91.
    J.-I. Takamura, in Lattice Defects in Quenched Metals, Ed. by R. M. J. Cotterill, M. Doyama, J. J. Jackson, and M. Meshii (Academic Press, New York, 1965), p. 521.Google Scholar
  95. 92.
    S. D. Gertsricken and N. N. Novikov, Phys. Metals Metallogr. 9(2), 54 (1960).Google Scholar
  96. 93.
    Y. Quéré, Compt. Rend. 252, 2399 (1961).Google Scholar
  97. 94.
    M. Doyama and J. S. Koehler, Phys. Rev. 127, 21 (1962).ADSCrossRefGoogle Scholar
  98. 95.
    F. Ramsteiner, W. Schule, and A. Seeger, Phys. Stat. Solidi 2, 1005 (1962).ADSCrossRefGoogle Scholar
  99. 96.
    C. T. Tomizuka and E. Sonder, Phys. Rev. 103, 1182 (1956).ADSCrossRefGoogle Scholar
  100. 97.
    S. J. Rothman, N. L. Peterson, and J. T. Robinson, Phys. Stat. Solidi 39, 635.Google Scholar
  101. 98.
    M. Beyeler and Y. Adda, in Physics of Solids at High Pressures, Ed. by C. T. Tomizuka and R. M. Emrick (Academic Press, New York, 1965), p. 349.Google Scholar
  102. 99.
    R. H. Dickerson, R. C. Lowell, and C. T. Tomizuka, Phys. Rev. 137, A613 (1965).ADSCrossRefGoogle Scholar
  103. 100.
    C. T. Tomizuka, in Progress in Very High Pressure Research (Proc. Intern. Conf., Bolton Landing), Ed. by F. B. Bundy, W. R. Hibbard, Jr., and H. M. Strong (Wiley and Sons, New York, 1961), p. 266.Google Scholar
  104. 101.
    R. O. Simmons and R. W. Balluffi, Phys. Rev. 129, 1533 (1963).ADSCrossRefGoogle Scholar
  105. 102.
    J. Bass, Phil. Mag. 15, 717 (1967).ADSCrossRefGoogle Scholar
  106. 103.
    R. O. Simmons and R. W. Balluffi, Phys. Rev. 117, 62 (1960).ADSCrossRefGoogle Scholar
  107. 104.
    R. R. Bourassa, D. Lazarus, and D. A. Blackburn, Phys. Rev. 165, 853 (1968).ADSCrossRefGoogle Scholar
  108. 105.
    T. S. Lundy and J. F. Murdoch, J. Appl. Phys. 33, 1671 (1962).ADSCrossRefGoogle Scholar
  109. 106.
    J. J. Spokas and C. P. Slichter, Phys. Rev. 113, 1462 (1959).ADSCrossRefGoogle Scholar
  110. 107.
    B. M. Butcher, H. Hutto, and A. L. Ruoff, Appl. Phys. Letters 7, 34 (1965).ADSCrossRefGoogle Scholar
  111. 108.
    M. Doyama and J. S. Koehler, Phys. Rev. 134, A522 (1964).ADSCrossRefGoogle Scholar
  112. 109.
    Ya. A. Kraftmakher and P. G. Strelkov, Soviet Phys.—Solid State 8, 460 (1966).Google Scholar
  113. 110.
    A. Ascoli, M. Asdente, E. Germagnoli, and A. Manara, J. Phys. Chem. Solids 6, 59 (1958).ADSCrossRefGoogle Scholar
  114. 111.
    G. L. Bacchella, E. Germagnoli, and S. Granata, J. Appl. Phys. 30, 748 (1959).ADSCrossRefGoogle Scholar
  115. 112.
    J. J. Jackson, Lattice Defects in Quenched Metals, Ed. by R. M. J. Cotterill, M. Doyama, J. J. Jackson, and M. Meshii (Academic Press, New York, 1965).Google Scholar
  116. 113.
    F. Cattaneo, E. Germagnoli, and F. Grasso, Phil. Mag. 7, 1373 (1962).ADSCrossRefGoogle Scholar
  117. 114.
    V. S. Kopan and M. J. Skorochod, Isledovanie nesovershenstv kristallicheskovo stroeniya (Naukovaya dumka, Kiev, 1965), p. 99.Google Scholar
  118. 115.
    J. Polák, Phys. Stat. Solidi 21, 581 (1967).ADSCrossRefGoogle Scholar
  119. 116.
    J. Polák, Phys. Letters 24A, 649 (1967).ADSGoogle Scholar
  120. 116a.
    R. Feder and A. S. Nowick, Phil. Mag. 15, 805 (1967).ADSCrossRefGoogle Scholar
  121. 117.
    F. M. d’Heurle, R. Feder, and A. S. Nowick, J. Phys. Soc. Japan 18 (Suppl. II), 184 (1963).Google Scholar
  122. 118.
    J. B. Hudson and R. E. Hoffman, Trans. AIME 221, 761 (1961).Google Scholar
  123. 119.
    N. H. Nachtrieb, H. A. Resing, and S. A. Rice, J. Chem. Phys. 31, 135 (1959).ADSCrossRefGoogle Scholar
  124. 120.
    H. Mehrer, H. Kronmüller, and A. Seeger, Phys. Stat. Solidi 10, 725 (1965).ADSCrossRefGoogle Scholar
  125. 120a.
    R. C. Brown, J. Worster, N. H. March, R. C. Perrin, and R. Bullough, Diffusion Processes (Proc. Thomas Graham Mem. Symp., Univ. Strathclyde) (Gordon and Breach, New York, 1970)Google Scholar
  126. R. E. Hoffman, W. Pikus, and R. E. Ward, Trans. AIME 206, 483 (1956).Google Scholar
  127. 121.
    D. L. Martin, J. Phys. Chem. Solids, Supplement 1, Lattice Dynamics, Proc. of an International Conference, Copenhagen, Ed. by R. F. Wallis (Pergamon Press, Oxford, 1963), p. 255.Google Scholar
  128. 122.
    A. Lodding, J. N. Mundy, and A. Ott, Phys. Stat. Solidi 38, 559 (1970).ADSCrossRefGoogle Scholar
  129. 123.
    J. N. Mundy, L. W. Barr, and F. A. Smith, Phil. Mag. 14, 785 (1966).ADSCrossRefGoogle Scholar
  130. 124.
    R. Feder and H. P. Charbnau, Phys. Rev. 149, 464 (1966).ADSCrossRefGoogle Scholar
  131. 125.
    R. Feder, Phys. Rev. B2, 828 (1970).ADSGoogle Scholar
  132. 126.
    D. K. C. MacDonald, J. Chem. Phys. 21, 177 (1953).ADSCrossRefGoogle Scholar
  133. 127.
    R. A. Hultsch and R. G. Barnes, Phys. Rev. 125, 1832 (1962).ADSCrossRefGoogle Scholar
  134. 128.
    C. R. Kohler and A. L. Ruoff, J. Appl. Phys. 36, 2444 (1965).ADSCrossRefGoogle Scholar
  135. 129.
    I. M. Torrens and M. Gerl, Phys. Rev. 187, 912 (1969).ADSCrossRefGoogle Scholar
  136. 129a.
    R. C. Brown, J. Worster, N. H. March, R. C. Perrin, and R. Bullough, to be published.Google Scholar
  137. 130.
    A. Ott, A. Lodding, and D. Lazarus, Phys. Rev. 188, 1088 (1969).ADSCrossRefGoogle Scholar
  138. 131.
    D. Jeannotte and J. M. Galligan, Phys. Rev. Letters 19, 232 (1967).ADSCrossRefGoogle Scholar
  139. 132.
    H. Schultz, Lattice Defects in Quenched Metals, Ed. by R. M. J. Cotterill, M. Doyama, J. J. Jackson, and M. Meshii (Academic Press, New York, 1965), p. 761.Google Scholar
  140. 133.
    R. L. Andelin, J. D. Knight, and M. Kahn, Trans. AIME 233, 19 (1965).Google Scholar
  141. 134.
    A. S. Nowick, Comments on Solid State Physics 2, 30 (1969).Google Scholar
  142. 135.
    C. J. Beevers, Acta Met. 11, 1029 (1963).CrossRefGoogle Scholar
  143. 136.
    C. Mairy, J. Hillairet, and D. Schumacher, Acta Met. 15, 1258 (1967).CrossRefGoogle Scholar
  144. 137.
    C. Janot, G. Bianchi, and B. George, Compt. Rend. 267B, 336 (1968).Google Scholar
  145. 138.
    P. G. Shewmon, J. Metals 8, 918 (1956).Google Scholar
  146. 139.
    A. Seeger and K.-P. Chik, Phys. Stat. Solidi 29, 455 (1968).ADSCrossRefGoogle Scholar
  147. 140.
    A. Seeger, Comments on Solid State Physics 1, 157; 2, 55 (1969).ADSGoogle Scholar
  148. 141.
    A. Seeger and M. L. Swanson, Lattice Defects in Semiconductors, Ed. by R. R. Hasiguti (University of Tokyo Press, 1968).Google Scholar
  149. 142.
    G. D. Watkins, J. Phys. Soc. Japan 18(Suppl. II), 33 (1963).Google Scholar
  150. 143.
    G. D. Watkins, Radiation Damage in Semiconductors, Ed. by P. Baruch (Dunod, Paris, 1965).Google Scholar
  151. 144.
    G. D. Watkins, Radiation Effects in Semiconductors, Ed. by F. L. Vook (Plenum Press, New York), 1968.Google Scholar
  152. 145.
    R. E. Whan, Appl. Phys. Letters 6, 221 (1965).ADSCrossRefGoogle Scholar
  153. 146.
    R. E. Whan, Phys. Rev. 140, A690 (1965).ADSCrossRefGoogle Scholar
  154. 147.
    A. Scholz and A. Seeger, Radiation Damage in Semiconductors, Ed. by P. Baruch (Dunod, Paris, 1965), p. 315.Google Scholar
  155. 148.
    M. M. Valenta and C. Ramasastry, Phys. Rev. 106, 73 (1957).ADSCrossRefGoogle Scholar
  156. 149.
    P. A. Thrower, Chemistry and Physics of Carbon, Ed. by P. L. Walker, Jr. (Marcel Dekker, New York, 1967), p. 217.Google Scholar
  157. 150.
    G. R. Hennig, J. Chem. Phys. 40, 2877 (1964).ADSCrossRefGoogle Scholar
  158. 151.
    G. R. Hennig, J. Appl. Phys. 36, 1482 (1965).ADSCrossRefGoogle Scholar
  159. 152.
    J. H. W. Simmons, Radiation Damage in Graphite (Pergamon Press, New York, 1965), p. 133.Google Scholar
  160. 153.
    L. Bochirol and E. Bonjour, Carbon 6, 661 (1968).CrossRefGoogle Scholar
  161. 154.
    R. W. Henson and W. N. Reynolds, Carbon 3, 277 (1965).CrossRefGoogle Scholar
  162. 155.
    N. S. Rasor and J. D. McClelland, J. Phys. Chem. Solids 15, 17 (1960).ADSCrossRefGoogle Scholar
  163. 156.
    R. J. Thorn and G. H. Winslow, J. Chem. Phys. 26, 186 (1957).ADSCrossRefGoogle Scholar
  164. 157.
    P. R. Goggin and W. N. Reynolds, Phil. Mag. 8, 265 (1963).ADSCrossRefGoogle Scholar
  165. 158.
    J. A. Turnbull and M. S. Stagg, Phil. Mag. 14, 1049 (1966).ADSCrossRefGoogle Scholar
  166. 159.
    J. Friedel, Les Dislocations (Gauthier Villiers, Paris, 1956).Google Scholar
  167. 160.
    C. Baker and A. Kelly, Nature 193, 235 (1962).ADSCrossRefGoogle Scholar
  168. 161.
    P. A. Thrower, Phil. Mag. 18, 697 (1969).ADSCrossRefGoogle Scholar
  169. 162.
    P. A. Thrower, Carbon 6, 687 (1968).CrossRefGoogle Scholar
  170. 163.
    G. R. Hennig, Second Conference on Industrial Carbon and Graphite (Society of Chemical Industry, London, 1966), p. 109.Google Scholar
  171. 164.
    M. Kanter, Phys. Rev. 107, 655 (1957).ADSCrossRefGoogle Scholar
  172. 165.
    M. Kanter, Kinetics of High Temperature Processes, Ed. by W. D. Kingery, Jr. (Technology Press, MIT, Cambridge, Mass., 1959), p. 61.Google Scholar
  173. 166.
    R. B. Evans, L. D. Love, and E. H. Kobisk, J. Appl. Phys. 40, 3058 (1969).ADSCrossRefGoogle Scholar
  174. 167.
    F. S. Feates, J. Nucl. Materials 27, 325 (1968).ADSCrossRefGoogle Scholar
  175. 168.
    L. W. Barr and A. B. Lidiard, “Defects in Ionic Solids,” in Vol. 10, Physical Chemistry—An Advanced Treatise (Academic Press, New York, 1970).Google Scholar
  176. 169.
    A. B. Lidiard, Proc. Brit. Ceram. Soc. 1967 (9), 1.ADSGoogle Scholar
  177. 169a.
    A. B. Lidiard, Handbuch der Physik, Vol. 20 (Springer-Verlag, Berlin, 1957), p. 246.Google Scholar
  178. 170.
    P. Süptitz and J. Teltow, Phys. Stat. Solidi 23, 9 (1967).ADSCrossRefGoogle Scholar
  179. 171.
    Y. Adda and J. Philibert, La Diffusion dans les Solides (Presses Universitaires de France, 1966).Google Scholar
  180. 171a.
    R. J. Friauf, J. Appl. Phys. 33, 494 (1962).ADSCrossRefGoogle Scholar
  181. 172.
    M. Eisenstadt and A. G. Redfield, Phys. Rev. 132, 635 (1963).ADSCrossRefGoogle Scholar
  182. 173.
    D. L. Kirk and P. L. Pratt, Proc. Brit. Ceram. Soc. 1967 (9), 215.Google Scholar
  183. 174.
    A. R. Allnatt and P. W. M. Jacobs, Trans. Faraday Soc. 58, 116 (1962).CrossRefGoogle Scholar
  184. 175.
    J. Rolfe, Can. J. Phys. 42, 2195 (1964).ADSCrossRefGoogle Scholar
  185. 176.
    S. C. Jain and S. L. Dahake, Indian J. Pure Appl. Phys. 2, 71 (1964).Google Scholar
  186. 177.
    J. B. Beaumont and P. W. M. Jacobs, J. Chem. Phys. 45, 1496 (1966).ADSCrossRefGoogle Scholar
  187. 178.
    D. K. Dawson, and L. W. Barr, Phys. Rev. Letters 19, 844 (1967).ADSCrossRefGoogle Scholar
  188. 179.
    S. Chandra and J. Rolfe, Can. J. Phys. 48, 397 (1970).ADSCrossRefGoogle Scholar
  189. 180.
    S. Chandra and J. Rolfe, Can. J. Phys. 48, 412 (1970).ADSCrossRefGoogle Scholar
  190. 181.
    S. C. Jain and D. C. Parashar, J. Phys. C (Solid State Phys.) Ser. 2, 2, 167 (1969).ADSCrossRefGoogle Scholar
  191. 182.
    T. G. Stoebe and P. L. Pratt, Proc. Brit. Ceram. Soc., 1967(9), 181.Google Scholar
  192. 183.
    K. Tharmalingam and A. B. Lidiard, Phil. Mag. 6, 1157 (1961).ADSCrossRefGoogle Scholar
  193. 184.
    L. W. Barr, J. A. Morrison, and P. A. Schroeder, J. Appl. Phys. 36, 624 (1965).ADSCrossRefGoogle Scholar
  194. 184a.V
    S. Mandel’, Soviet Phys.—Solid State 10, 2530 (1969).Google Scholar
  195. 185.
    O. S. Spencer and C. A. Plint, J. Appl. Phys. 40, 168 (1969).ADSCrossRefGoogle Scholar
  196. 186.
    K. L. Kliewer and J. S. Koehler, Phys. Rev. 157, 685 (1967).ADSCrossRefGoogle Scholar
  197. 187.
    R. W. Davidge, Phys. Stat. Solidi 3, 1851 (1963).ADSCrossRefGoogle Scholar
  198. 188.
    C. A. Plint and M. L. Breig, J. Appl. Phys. 35, 2745 (1964).ADSCrossRefGoogle Scholar
  199. 189.
    R. Strumane and R. DeBatist, Phys. Stat. Solidi 6, 817 (1964).ADSCrossRefGoogle Scholar
  200. 190.
    R. D. Fouchaux and R. O. Simmons, Phys. Rev. 136, A1664 (1964).ADSCrossRefGoogle Scholar
  201. 191.
    C. Tubandt, Z. Anorg. allgem. Chem. 115, 113 (1920).Google Scholar
  202. 192.
    J. E. Hove, Phys. Rev. 102, 915 (1956).ADSCrossRefGoogle Scholar
  203. 193.
    M. D. Weber and R. J. Friauf, J. Phys. Chem. Solids 30, 407 (1969).ADSCrossRefGoogle Scholar
  204. 194.
    H. Layer, M. G. Miller, and L. Slifkin, J. Appl. Phys. 33, 478 (1962).ADSCrossRefGoogle Scholar
  205. 195.
    A. E. Abey and C. T. Tomizuka, J. Phys. Chem. Solids 27, 1149 (1966).ADSCrossRefGoogle Scholar
  206. 196.
    K. L. Kliewer, J. Phys. Chem. Solids 27, 705 (1966).ADSCrossRefGoogle Scholar
  207. 197.
    H. Wakabayasi, J. Phys. Soc. Japan 15, 2000 (1960).ADSCrossRefGoogle Scholar
  208. 198.
    B. B. Snavely, Ph. D. Thesis, Cornell University, Ithaca, New York (1962).Google Scholar
  209. 199.
    L. Slifkin, W. McGowan, A. Fukai, and J.-S. Kim, Phot. Sci. and Eng. 11, 79 (1967).Google Scholar
  210. 200.
    E. Zintl and A. Udgard, Z. Anorg. allgem. Chem. 240, 150 (1939).CrossRefGoogle Scholar
  211. 201.
    C. Tubandt, H. Reinhold, and G. Liebold, A. Anorg. allgem. Chem. 197, 225 (1931).CrossRefGoogle Scholar
  212. 202.
    R. W. Ure, Jr., J. Chem. Phys. 26, 1363 (1957).ADSCrossRefGoogle Scholar
  213. 203.
    V. H. J. Matzke and R. Lindner, Z. Naturforsch. 19A, 1178 (1964).ADSGoogle Scholar
  214. 204.
    J. Short and R. Roy, J. Phys. Chem. 68, 3077 (1964).CrossRefGoogle Scholar
  215. 205.
    E. Barsis and A. Taylor, J. Chem. Phys. 48, 4362 (1968).ADSCrossRefGoogle Scholar
  216. 206.
    E. Barsis and A. Taylor, J. Chem. Phys. 48, 4357 (1968).ADSCrossRefGoogle Scholar
  217. 207.
    D. C. Stockbarger, J. Opt. Soc. Am. 39, 731 (1949).ADSCrossRefGoogle Scholar
  218. 208.
    W. Bontinck, Physica 24, 650 (1958).ADSCrossRefGoogle Scholar
  219. 209.
    K. Muto and K. Awazu, J. Phys. Chem. Solids 29, 1269 (1968).ADSCrossRefGoogle Scholar
  220. 210.
    J. A. Champion, Brit. J. Appl. Phys. 16, 805 (1965).ADSCrossRefGoogle Scholar
  221. 211.
    B. R. Rossing, D. Sc. Thesis, MIT (1966).Google Scholar
  222. 212.
    A. D. Franklin, S. Marzullo, and J. B. Wachtman, Jr., J. Res. Nat. Bur. Std. 71A, 355 (1967).CrossRefGoogle Scholar
  223. 213.
    H. B. Johnson, G. R. Miller, and I. B. Cutler, J. Am. Ceram. Soc. 50, 526 (1967).CrossRefGoogle Scholar
  224. 214.
    M. J. Weber and R. W. Bierig, Phys. Rev. 134, A1492 (1964).ADSCrossRefGoogle Scholar
  225. 215.
    F. K. Fong, Progr. Solid State Chem. 3, 135 (1966).CrossRefGoogle Scholar
  226. 216.
    J. M. Baker, E. R. Davies, and J. P. Hurrell, Phys. Letters 26A, 352 (1968); Proc. Roy. Soc. (London) A308, 403 (1968).ADSGoogle Scholar
  227. 217.
    A. D. Franklin, Proc. Brit. Ceram. Soc., 1967 (9), 15.Google Scholar
  228. 218.
    A. D. Franklin, J. Phys. Chem. Solids 29, 823 (1968).ADSCrossRefGoogle Scholar
  229. 219.
    Hj. Matzke, J. Materials Science 5, 831 (1920).ADSCrossRefGoogle Scholar
  230. 220.
    A. D. Franklin and S. M. Marzullo, in Proc. Brit. Ceram. Soc., Conference on Mass Transport in Non-Metallic Solids, Dec. 17 and 18, 1969.Google Scholar
  231. 221.
    W. D. Copeland and R. A. Swalin, J. Phys. Chem. Solids 29, 313 (1968).ADSCrossRefGoogle Scholar
  232. 222.
    I. E. Leksina and S. I. Novikova, Soviet Phys.—Solid State 5, 798 (1963).Google Scholar
  233. 223.
    R. M. Emrick, Phys. Rev. 122, 1720 (1961).ADSCrossRefGoogle Scholar
  234. 224.
    H. H. Grimes, J. Phys. Chem. Solids 26, 509 (1965).ADSCrossRefGoogle Scholar
  235. 225.
    M. Doyama and J. S. Koehler, Phys. Rev. 119, 939 (1960).ADSCrossRefGoogle Scholar
  236. 226.
    Y. Quéré, Compt. Rend. 251, 367 (1960).Google Scholar
  237. 227.
    O. N. Ovcharenko, Phys. Metals Metallogr. 11, 3, 78 (1961).Google Scholar
  238. 228.
    L. J. Cuddy and E. S. Machlin, Phil. Mag. 7, 745 (1962).ADSCrossRefGoogle Scholar
  239. 229.
    R. R. Hasiguti, Y. Nakao, and H. Kimura, J. Phys. Soc. Japan 20, 553 (1965).ADSCrossRefGoogle Scholar
  240. 230.
    Ya. A. Kraftmakher, Soviet Phys.—Solid State 9, 1458 (1967).Google Scholar
  241. 231.
    W. de Sorbo and D. Turnbull, Acta Met. 7, 83 (1959).CrossRefGoogle Scholar
  242. 232.
    W. de Sorbo and D. Turnbull, Phys. Rev. 115, 560 (1959).ADSCrossRefGoogle Scholar
  243. 233.
    K. Detert and I. Ständer, Z. Metallic. 52, 677 (1961).Google Scholar
  244. 234.
    D. Locati and T. Federighi, reported by T. Federighi, Lattice Defects in Quenched Metals, Ed. by R. M. J. Cotterill, M. Doyama, J. J. Jackson, and M. Meshii (Academic Press, New York, 1965), p. 217.Google Scholar
  245. 235.
    G. Bianchi, D. Mallejac, C. Janot, and G. Champier, Compt. Rend. 263B, 1404 (1966).Google Scholar
  246. 236.
    A. D. King, A. J. Cornish, and J. Burke, J. Appl. Phys. 37, 4717 (1966).ADSCrossRefGoogle Scholar
  247. 237.
    T. Federighi, in Lattice Defects in Quenched Metals, Ed. by R. M. J. Cotterill, M. Doyama, J. J. Jackson, and M. Meshii (Academic Press, New York, 1965), p. 217.Google Scholar
  248. 238.
    Y. N. Lwin, M. Doyama, and J. S. Koehler, Phys. Rev. 165, 787 (1968).ADSCrossRefGoogle Scholar
  249. 239.
    Ya. A. Kraftmakher and F. B. Lanina, Soviet Phys.—Solid State 7, 92 (1965).Google Scholar
  250. 240.
    G. R. Piercy, Phil. Mag. 5, 201 (1960).ADSCrossRefGoogle Scholar
  251. 241.
    W. Bauer and A. Sosin, Phys. Rev. 147, 482 (1966).ADSCrossRefGoogle Scholar
  252. 242.
    G. A. Sullivan and J. W. Weymouth, Phys. Rev. 136, A1141 (1964).ADSCrossRefGoogle Scholar
  253. 243.
    J. D. Filby and D. L. Martin, Proc. Roy. Soc. (London) 284, 83 (1965).ADSCrossRefGoogle Scholar
  254. 244.
    D. F. Holcomb and R. E. Norberg, Phys. Rev. 98, 1074 (1955).ADSCrossRefGoogle Scholar
  255. 245.
    A. N. Naumov and G. Ya. Ryskin, Zh. Tekhn. Fiz. 29, 189 (1959).Google Scholar
  256. 246.
    D. C. Ailion and C. P. Slichter, Phys. Rev. 137, A235 (1965).ADSCrossRefGoogle Scholar
  257. 247.
    A. Ott, J. N. Mundy, L. Löwenberg, and A. Lodding, Z. Naturforsch. 23A, 771 (1968).Google Scholar
  258. 248.
    N. H. Nachtrieb, E. Catalano, and J. A. Weil, J. Chem. Phys. 20, 1185 (1952).ADSCrossRefGoogle Scholar
  259. 249.
    J. N. Mundy, L. W. Barr, and F. A. Smith, Phil. Mag. 15, 411 (1967).ADSCrossRefGoogle Scholar
  260. 250.
    Ya. A. Kraftmakher, Soviet Phys.’Solid State 5, 696 (1963).Google Scholar
  261. 251.
    Ya. A. Kraftmakher, Soviet Phys.—Solid State 6, 396 (1964).Google Scholar
  262. 252.
    J. D. Meakin, A. Lawley, and R. C. Koo, Lattice Defects in Quenched Metals, Ed. by R. M. J. Cotterill, M. Doyama, J. J. Jackson, and M. Meshii (Academic Press, New York, 1965), p. 767.Google Scholar
  263. 253.
    V. Ya. Chekhovskoy, and V. A. Petrov, International Conference on Vacancies and Interstitials in Metals, Julich Conference 2, Vols. I, II (obtainable from Zentralbibliothek der Kernforschungsanlage Julich GmbH, Julich, Germany, 1968), p. 6.Google Scholar
  264. 254.
    W. Glaeser and H. Wever, Phys. Stat. Solidi 35, 367 (1969).ADSCrossRefGoogle Scholar
  265. 255.
    M. L. Swanson, G. R. Piercy, G. V. Kidson, and A. F. Quenneville, J. Nucl. Materials 34, 340 (1970).ADSCrossRefGoogle Scholar
  266. 256.
    D. Lazarus, Diffusion in Body-Centered Metals, Ed. by J. A. Wheeler, Jr., and F. R. Winslow (Am. Soc. for Metals, Metals Park, Ohio, 1965), p. 155.Google Scholar
  267. 257.
    C. Janot, D. Mallejac, and B. George, Compt. Rend. 270B, 404 (1970).Google Scholar
  268. 258.
    H. Letaw, L. Slifkin, and W. M. Portnoy, Phys. Rev. 102, 636 (1956).ADSCrossRefGoogle Scholar
  269. 259.
    R. F. Peart, Phys. Stat. Solidi 15, K119 (1966).ADSCrossRefGoogle Scholar
  270. 260.
    E. Barsis, E. Lilley, and A. Taylor, Proc. Brit. Ceram. Soc. 1967, (9), 203 (1967).Google Scholar
  271. 261.
    C. F. Bauer and D. H. Whitmore, Phys. Stat. Solidi 37, 585 (1970).ADSCrossRefGoogle Scholar
  272. 262.
    L. W. Barr, in Proc. Brit. Ceram. Soc., Conference on Mass Transport in Non-Metallic Solids, Dec. 17 and 18, 1969.Google Scholar
  273. 263.
    R. W. Dreyfus and A. S. Nowick, J. Appl. Phys. 33, 473 (1962).ADSCrossRefGoogle Scholar
  274. 264.
    A. R. Allnatt and P. Pantelis, Solid State Comm. 6, 309 (1968).ADSCrossRefGoogle Scholar
  275. 265.
    V. Trnovcova, Czech. J. Phys. B19, 663 (1969).ADSCrossRefGoogle Scholar
  276. 266.
    E. Rzepka and J.-P. Chapelle, Compt. Rend. 268B, 1770 (1969).Google Scholar
  277. 267.
    V. K. Jain, Indian J. Pure Appl. Phys. 7, 330 (1969).Google Scholar
  278. 268.
    R. G. Fuller, Bull. Am. Phys. Soc. 15, 384 (1970).Google Scholar
  279. 269.
    A. V. Chadwick, B. D. McNicol, and A. R. Allnatt, Phys. Stat. Solidi 33, 301 (1969).ADSCrossRefGoogle Scholar
  280. 270.
    P. J. Harvey and I. M. Hoodless, Phil. Mag. 16, 543 (1967).ADSCrossRefGoogle Scholar
  281. 271.
    J. N. Maycock, V. R. Pai Verneker, and C. S. Gorzynski, Jr., Phys. Stat. Solidi 37, 857 (1970).ADSCrossRefGoogle Scholar
  282. 272.
    F. Bénière and M. Chemla, Compt. Rend. 266C, 660 (1968).Google Scholar
  283. 273.
    R. G. Fuller, Phys. Rev. 142, 524 (1966).ADSCrossRefGoogle Scholar
  284. 274.
    M. Eisenstadt, Phys. Rev. 132, 630 (1963).ADSCrossRefGoogle Scholar
  285. 275.
    T. G. Stoebe and R. A. Huggins, J. Mat. Sci. 1, 117 (1966).ADSCrossRefGoogle Scholar
  286. 276.
    J. Itoh, M. Satoh, and A. Hiraki, J. Phys. Soc. Japan 16, 343 (1960).ADSGoogle Scholar
  287. 277.
    M. Eisenstadt, Phys. Rev. 133, A191 (1964).ADSCrossRefGoogle Scholar
  288. 278.
    M. Satoh, J. Phys. Soc. Japan 20, 1008 (1965).ADSCrossRefGoogle Scholar
  289. 279.
    G. Pellegrini and J. Pelsmaekers, J. Chem. Phys. 51, 5190 (1969).ADSCrossRefGoogle Scholar
  290. 280.
    J. Pelsmaekers, G. Pellegrini, and S. Amelinckx, Solid State Comm. 1, 92 (1963).ADSCrossRefGoogle Scholar
  291. 281.
    B. von Guerard, H. Peisl, and W. Waidelich, Phys. Stat. Solidi 29, K59 (1968).ADSCrossRefGoogle Scholar
  292. 282.
    J. S. Koehler, D. Langreth, and B. von Turkovich, Phys. Rev. 128, 573 (1962).ADSCrossRefGoogle Scholar
  293. 283.
    H. Kanzaki, K. Kido, and T. Ninomiya, J. Appl. Phys. 33, 482 (1962).ADSCrossRefGoogle Scholar
  294. 284.
    P. Muller, Phys. Stat. Solidi 12, 775 (1965).ADSCrossRefGoogle Scholar
  295. 285.
    E. Barsis and A. Taylor, J. Chem. Phys. 45, 1154 (1966).ADSCrossRefGoogle Scholar
  296. 286.
    M. Baker and A. Taylor, J. Phys. Chem. Solids 30, 1003 (1969).ADSCrossRefGoogle Scholar
  297. 287.
    R. J. Lysiak and P. P. Mahendroo, J. Chem. Phys. 44, 4025 (1966).ADSCrossRefGoogle Scholar
  298. 288.
    J. R. Miller and P. P. Mahendroo, Phys. Rev. 174, 369 (1968).ADSCrossRefGoogle Scholar

Copyright information

© Plenum Press, New York 1972

Authors and Affiliations

  • A. D. Franklin
    • 1
  1. 1.Institute for Materials ResearchNational Bureau of StandardsUSA

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