Advertisement

Structure and Electronic Properties of Liquid Semiconductors

  • J. E. Enderby
Chapter

Abstract

It is now quite clear that a good knowledge of a (q), the interference function, is necessary for a fundamental understanding of the electronic properties of liquid conductors. The purpose of this section is to describe the use of neutron and X-ray diffraction techniques in determining this quantity. In most scattering experiments the measured intensities are proportional to differential scattering cross sections. Let bc and bi represent respectively the bound atom scattering lengths for coherent and incoherent scattering. Then the differential scattering cross section for coherent scattering is Nbc 2 a(q) whilst that for incoherent scattering is Nbi 2, provided the scattering is perfectly elastic (see, for example, Bacon (1962)), a(q) here is defined in the usual way as the expectation value of N S(q) S*(q) where
$${\text{S}}\left( {\text{q}} \right) = \sum\limits_{\text{i}} {{{\text{e}}^{ - {\text{iq}}{\text{.}}{{\text{r}}_{\text{i}}}}}} $$
N is the number of scatterers, q is a wave number and rirefers to the positions of the nuclei.

Keywords

Electronic Property Hard Sphere Radial Distribution Function Liquid Alloy Thermoelectric Power 
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.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Abowitz, G. and Gordon, R. B., (1962), J. Chem. Phys., 37, 125.ADSGoogle Scholar
  2. Aldea, A., (1967), Phys. Stat. Sol., 22, 377.ADSGoogle Scholar
  3. Aliev, G. M., Abdinov, D.Sh. and Mekhtieva, S. I., (1966), Sov. Phys. Doklady, 11, 305.ADSGoogle Scholar
  4. Allgaier, R. S., (1969), Phys. Rev., 185, 227.ADSGoogle Scholar
  5. Algaier, R. S., (1970), Phys. Rev., 2, 2257.ADSGoogle Scholar
  6. Anderson, P. W., (1958), Phys. Rev., 109, 1492.ADSGoogle Scholar
  7. Animalu, A. O. E. and Heine, V., (1965), Phil. Mag., 12, 1249.ADSGoogle Scholar
  8. Ashcroft, N. W., (1966), Phys. Letts., 23, 529.ADSGoogle Scholar
  9. Ashcroft, N. W. and Langreth, D. G, (1967), Phys, Rev., 159, 500.ADSGoogle Scholar
  10. Ashcroft, N. W. and Lekner, J., (1966), Phys. Rev., 145, 83.ADSGoogle Scholar
  11. Bacon, G. E., (1962), Neutron Diffraction, Clarendon Press, Oxford.Google Scholar
  12. Banyai, L. and Aldea, A., (1966), Phys. Rev., 143, 652.ADSGoogle Scholar
  13. Blakeway, R., (1969), Phil Mag., 20, 965.ADSGoogle Scholar
  14. Blech, I. A. and Averbach, B. L., (1965), Phys. Rev., 137, A1 113.Google Scholar
  15. Bond, W. L., (1962), The International Tables for X-ray Crystallography, Vol. II Kynoch Press, Birmingham.Google Scholar
  16. Borland, R. E., (1963), Proc. Roy. Soc., A274, 529.Google Scholar
  17. Busch, G. and Tieche, Y., (1962), Helv. Phys. Acta., 35, 273.Google Scholar
  18. Busch, G. and Guntherodt, H. J., (1967), Phys. Kondens Mat., 6, 325.Google Scholar
  19. Cabane, B. and Friedel, J., (1971), Jnl. de Physique, 32, 73.Google Scholar
  20. Cabane, B. and Froidevaux, C., (1969), Phys. Letts., 29A, 512.Google Scholar
  21. Cohen, M. H., Fritzsche, H. and Ovshinsky, S. R., (1969), Phys. Rev. Letts., 22, 1065.ADSGoogle Scholar
  22. Cohen, M. H. and Sac, J., (1972), J. Non-Cryst. Solids, 8-10, 696.Google Scholar
  23. Cocking, S. J. and Heard, C. R. T., (1965), A.E.R.E. Report R5016, H.M.S.O., London.Google Scholar
  24. Cusack, N. E., Enderby, J. E., Kendall, P. W. and Tieche, Y., (1965), J. Sc. Insts., 42, 256.ADSGoogle Scholar
  25. Cusack, N. E. and Kendall, P. W., (1958), Proc. Phys. Soc., 72, 898.ADSGoogle Scholar
  26. Cusack, N. E., Kendall, P. W. and Fielder, M., (1964), Phil Mag., 10, 871.ADSGoogle Scholar
  27. Cutler, M., (1971a), Phil. Mag., 24, 381.ADSGoogle Scholar
  28. Cutler, M., (1971b), Phil. Mag., 24, 401.ADSGoogle Scholar
  29. Cutler, M. and Field, M. B., (1968), Phys. Rev., 169, 632.ADSGoogle Scholar
  30. Cutler, M. and Mallon, C. E., (1962), J. Chem Phys., 37, 2667.ADSGoogle Scholar
  31. Cutler, M. and Mallon, C. E., (1965), J. App. Phys., 36, 201.ADSGoogle Scholar
  32. Cutler, M. and Mallon, C. E., (1966), Phys. Rev., 144, 642.ADSGoogle Scholar
  33. Cutler, M. and Mott, N. F., (1969), Phys. Rev., 181, 1369.Google Scholar
  34. Cutler, M. and Paterson, R. L., (1970), Phil Mag., 21, 1033.ADSGoogle Scholar
  35. Dancy, E. A., (1965), Trans, Met. Soc., AIME, 233, 270.Google Scholar
  36. Dancy, E. A. and Derge, G. J., (1963), Trans. Met. Soc. AIME, 227, 1034.Google Scholar
  37. Davies, H. A., (1969) Phys. Chem Liquids, 1, 191.Google Scholar
  38. Davies, E. A. and Mott, N. F., (1970), Phil Mag., 22, 903.ADSGoogle Scholar
  39. Edmond, J. T., (1966), Brit. J. App. Phys., 17, 979ADSGoogle Scholar
  40. Edwards, S. F., (1962), Proc. Roy. Soc., A267, 518.Google Scholar
  41. Enderby, J. E., (1963), Proc. Phys. Soc., 81, 772.ADSGoogle Scholar
  42. Enderby, J. E., (1973), Band Structure Spectroscopy of Metals and Alloys (D.J. Fabian and L. M. Watson, editors) Academic Press, New YorkGoogle Scholar
  43. Enderby, J. E. and Collings, E. W., (1970), J. Non-Cryst: Solids, 4, 161.ADSGoogle Scholar
  44. Enderby, J. E., Hasan, S. B. and Simmons, C. J., (1967), Adv. Phys., 16, 667.ADSGoogle Scholar
  45. Enderby, J. E. and Hawker, I., (1972), J. Non-Cryst. Solids, 8-10,687.Google Scholar
  46. Enderby, J. E. and Howe, R. A., (1968), Phil Mag., 18, 923.ADSGoogle Scholar
  47. Enderby, J. E. and March, N. H., (1965), Adv. Phys., 14, 453.ADSGoogle Scholar
  48. Enderby, J. E. and North, D. M., (1968), Phys. Chem. Liquids, 1, 1.Google Scholar
  49. Enderby, J. E., North, D. M. and Egelstaff, P. A., (1966), Phil Mag., 14, 961.ADSGoogle Scholar
  50. Enderby, J. E., North, D. M. and Egelstaff, P. A., (1967), Adv. Phys., 16, 171.ADSGoogle Scholar
  51. Enderby, J. E. and Simmons, C. J., (1969), Phil Mag., 20, 125.ADSGoogle Scholar
  52. Enderby, J. E., Van Zytveld, J. B., Howe, R. A. and Mian, A. J., (1968)Phys. Letts, 28 A, 144.Google Scholar
  53. Enderby, J. E. and Walsh, L., (1966), Phil Mag., 14. 991.ADSGoogle Scholar
  54. Epstein, S. G., (1972), Physics and Chemistry of Liquid Metals (S. Z. Beer, editor) Marcel Dekker, New York.Google Scholar
  55. Faber, T. E., (1972), Introduction to the Theory of Liquid Metals. Cambridge University Press.Google Scholar
  56. Faber, T. E. and Ziman, J. M., (1964), Phil. Mag., 11, 153.ADSGoogle Scholar
  57. Friedman, L., (1971), J. Non-Cryst. Solids, 6, 329.ADSGoogle Scholar
  58. Fukuyama, H., Ebisawa, H. and Wada, Y., (1969), Proc. Theor. Phys., 42, 494.ADSGoogle Scholar
  59. Gehlen, P. C. and Enderby, J. E., (1969), J. Chem Phys., 51, 547.ADSGoogle Scholar
  60. Gingrich, N. S. and Heaton, L., (1961), J. Chem Phys., 34, 873.ADSGoogle Scholar
  61. Greenfield, A. J., (1964), Phys.Rev., A135,1589.Google Scholar
  62. Gubanov, A. I., (1963), Quantum Electron Theory of Amorphous Semiconductors, (English Translation 1965 ) Consultants Bureau, New York.Google Scholar
  63. Halder, N. C., Metzger, R. J. and Wagner, C. N. J., (1966), J. Chem. Phys., 45, 1259.ADSGoogle Scholar
  64. Halder, N. C. and Wagner, C. N. J., (1967a), Phys. Lett., 24A, 345.Google Scholar
  65. Halder, N. C. and Wagner, C. N. J., (1967b), J. Chem. Phys., 47, 4385.ADSGoogle Scholar
  66. Hamer, H., (1962), Semiconductor Prod., 5, 35.Google Scholar
  67. Hanson, H. P., (1958),, Constitution of Binary Alloys, McGraw-Hill, New York.Google Scholar
  68. Hanson, H. P., Herman, F., Lea, J. D. and Skillman, S., (1964), ActaCryst., 17, 1040.Google Scholar
  69. Harrison, W., (1966), Pseudopotentials in the Theory of Metals, Benjamin, New York.Google Scholar
  70. Hawker, I. Howe, R. A. and Enderby, J. E. (1973a), Proceedings of the 5th Inter-national Conference on Amorphous and Liquid Semiconductors (to be published).Google Scholar
  71. Hawker, I., Howe, R. A. and Enderby, J. E., (1973b), to be published.Google Scholar
  72. Heine, V. and Weaire, D., (1970), Solid State Phys., 24, 249.Google Scholar
  73. Hendus, H., (1947), Zeit. Naturf., A2, 205.Google Scholar
  74. Henniger, E. H. and Buschert, R. C., (1967), J. Chem. Phys., 46, 586.ADSGoogle Scholar
  75. Henniger, E. H., Buschert, R. C. and Heaton, L., (1966), J. Chem Phys., 44, 1758.ADSGoogle Scholar
  76. Hindley, N. K., (1970), J. Non-Cryst. Solids, 5, 17.ADSGoogle Scholar
  77. Hodgkinson, R. J., (1970), Phil. Mag., 22, 1187.ADSGoogle Scholar
  78. Hodgson, J. N., (1961), Phil Mag., 6, 509.ADSGoogle Scholar
  79. Holstein, T., (1961) Phys. Rev., 124, 1329.ADSzbMATHGoogle Scholar
  80. Holstein, T. and Friedman, L., (1968), Phys. Rev., 165, 1019.ADSGoogle Scholar
  81. Howe, R. A. and Eitferby, J. E., (1967), Phil. Mag., 16, 141, 467.ADSGoogle Scholar
  82. Howells, W. S. and Enderby, J. E., (1972), J. Phys. C., 5, 1277.ADSGoogle Scholar
  83. Hultgreen, R., Orr, R. L., Anderson, P. D. and Kelley, K. K., (1963)„ Selected Values of Thermodynamic Properties of Metals and Alloys, J. Wiley,New York.Google Scholar
  84. Ilschner, B. R. and Wagner, C. N., (1953), Acta Met., 6, 712.Google Scholar
  85. Jan, J. P., (1962), Amer. J. Phys., 30, 497.MathSciNetADSzbMATHGoogle Scholar
  86. Joffe, A. F. and Regel, A. R., (1960), Progress in Semiconductors, (A. F. Gibson, editor), J. Wiley, New York.Google Scholar
  87. Kendall, P. W. (1964). J. Sci. Inst., 41, 485.ADSGoogle Scholar
  88. Kim, Y. S., Standley, C. L., Krüh, R. F. and Clayton, G. T., (1961), J. Chem. Phys., 34, 1464.ADSGoogle Scholar
  89. Lebowitz, J. L., (1964) Phys. Rev., A133, 895.Google Scholar
  90. Lomer, W. M. and Low, G. G, (1965), Thermal Neutron Scattering, (P. A. Egelstaff, editor), Academic Press, New York.Google Scholar
  91. Male, J. G, (1967), Brit. J. Appl. Phys., 18, 1543.ADSGoogle Scholar
  92. Matsurbara, T. and Kaneyoshi, T., (1968), Pros. Theor. Phys., 40, 1257.ADSGoogle Scholar
  93. Mikolaj, G. and Pings, C. N. J., (1967), J. Chem. Phys., 46, 1412.ADSGoogle Scholar
  94. Mott, N. F., (1966), Phil Mag., 13, 989.ADSGoogle Scholar
  95. Mott, N. F., (1967), Adv. Phys., 16, 49.ADSGoogle Scholar
  96. Mott, N. F., (1970), Phil Mag., 22, 1.ADSGoogle Scholar
  97. Mott, N. F., (1971), Phil. Mag., 24, 1.ADSGoogle Scholar
  98. Nakamura, Y. and Shimoji, M., (1969), Trans. Farad Soc., 65, 1509.Google Scholar
  99. North, D. M., Enderby, J. E. and Egelstaff, P. A., (1968a), J. Phys., C, 1, 784.ADSGoogle Scholar
  100. North, D. M., Enderby, J. E. and Egelstaff, P. A., (1968b), J. Phys. C, 1, 1075.ADSGoogle Scholar
  101. North, D. M. and Wagner, C. N. J., (1969), J. App. Cryst., 2, 149.Google Scholar
  102. Orton, B. R. and Williams, G. I., (1960), Acta. Met., 8, 177.Google Scholar
  103. Paalman, H. H. and Pings, C. J., (1962), J. App. Phys., 33, 2635.ADSzbMATHGoogle Scholar
  104. Pearson, F. J. and Rushbrooke, G. S., (1957), Proc. Roy. Soc., Edin., A64, 305.Google Scholar
  105. Perron, J. G, (1967), Adv. Phys., 16, 657.ADSGoogle Scholar
  106. Perron, J. G, (1972), J. Non-Cryst. Solids, 8-10, 272.Google Scholar
  107. Pings, C. N. J., (1968), Physics of Simple Liquids, (H. N. V. Temperley et al, editors), North Holland, Amsterdam.Google Scholar
  108. Placzek, G., (1952) Phys. Rev., 86, 377.ADSzbMATHGoogle Scholar
  109. Regel, A. R., Andreev, A. A., Kotov, B. A., Mamaclaliev, M., Okuneva, N. M., Smirnov, I. A. and Shadrichev, E. V., (1970), J Non-Cryst. Solids, 4, 151.ADSGoogle Scholar
  110. Roll, A. and Motz, H., (1957), Z. Metallkunde, 48, 272.Google Scholar
  111. Russel, B. R. and Wahlig, C., (1950), Rev. Sci Inst, 21, 1028.ADSGoogle Scholar
  112. Rzewuski, H. and Werner, Z., (1965), Electronics Letts., 1, 86.Google Scholar
  113. Sanderson, E. A., (1960), Chemical Periodicity, Reinhold, New York.Google Scholar
  114. Schaich, W. and Ashcroft, N. W., (1970), Phys. Letts, 31 A, 174.ADSGoogle Scholar
  115. Shaw, R. W., (1969), J. Phys. C, 2, 2335.ADSGoogle Scholar
  116. Shyu, W. M. and Gaspari, G. D., (1967), Phys. Rev., 178, 985.Google Scholar
  117. Stern, E. A., (1966), Phys. Rev., 144, 545.ADSGoogle Scholar
  118. Straub, W. D., Roth, H., Bernard, W., Goldstein, S. and Mulhern, J. E., (1968), Phys. Rev. Lett, 21, 752.ADSGoogle Scholar
  119. Stuke, J., (1969), Festkbrperprobleme, 9, 46.Google Scholar
  120. Terpilowski, J. and Zaleske, E., (1963), Roczn Chem, 437, 193.Google Scholar
  121. Thiele, E., (1963), J. Chem Phys., 39, 474.ADSGoogle Scholar
  122. Throop, G. J. and Bearman, R. J., (1965). J. Chem Phys., 42, 2838.MathSciNetADSGoogle Scholar
  123. Tourand, G., Cabane, B. and Breuii, M., (1972), J. Non-Cryst. Solids, 8-10, 676.Google Scholar
  124. Vineyard, G. H., (1954), Phys. Rev., 96, 93.ADSGoogle Scholar
  125. Warren, W. W., (1970), Solid State Comm., 8, 1269.ADSGoogle Scholar
  126. Warren, W. W., (1971), Phys. Rev., B 3, 3708.Google Scholar
  127. Warren, W. W., (1972a), J. Non-Cryst. Solids, 8-10, 241.Google Scholar
  128. Warren, W. W., (1972b), Phys. Rev., B 6, 2522Google Scholar
  129. Wertheim, M. S., (1963), Phys. Rev. Letts., 10, 321.MathSciNetADSzbMATHGoogle Scholar
  130. Ziman, J. M., (1960), Electrons and Phonons, Clarendon Press, Oxford.zbMATHGoogle Scholar
  131. Ziman, J. M., (1961), Phil. Mag., 6, 1013.ADSzbMATHGoogle Scholar
  132. Ziman, J. M., (1967) Adv. Phys., 16.Google Scholar

Copyright information

© Plenum Publishing Company Ltd 1974

Authors and Affiliations

  • J. E. Enderby
    • 1
  1. 1.Department of PhysicsUniversity of LeicesterUK

Personalised recommendations