Skip to main content

Fermi Surface Studies in Disordered Alloys: Positron Annihilation Experiments

  • Chapter
Electrons in Disordered Metals and at Metallic Surfaces

Part of the book series: NATO Advanced Study Institutes Series ((NSSB,volume 42))

Abstract

In these lectures we shall outline the use of the positron (e+) annihilation technique for the study of electrons (e-) in metals and, in particular, in non-dilute disordered alloys. The behavior of slow e+-s in condensed matter has been the subject of intense experimental and theoretical investigations during the last two decades, and the field has been reviewed thoroughly;1 positron annihilation has become a useful new tool in solid state physics. By studying the various properties of annihilation quanta one obtains direct information about the electrons the positrons annihilate with. In particular the 2γ angular correlation of annihilation radiation (ACAR) reflects, by momentum conservation, the momentum density of the annihilating e+-e-pair. Discontinuities in the correlation curves can be used to mea-sure the size and shape of the Fermi surface (FS) in pure metals as well as in alloys. If the behavior of the e+ is sufficiently well understood and the effect of the e+-e- Coulomb interaction sufficiently well accounted for, the ACAR measurements can lead, as we shall see, to a test of the electronic wavefunctions of the system under investigation.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. a) R.N. West, Adv. Phys. 22, 263 (1973); S. Berko in “Compton Scattering” edited by B. Williams, McGraw Hill, London, 1977, Chapter 9. P.E. Mijnarends in “Positrons in Solids”, edited by P. Hauto jarvi, Springer Verlag, 1978, to be published.

    Article  ADS  Google Scholar 

  2. See for example A.P. Cracknell and K.C. Wong, “The Fermi Surface”, Clarendon Press, Oxford, 1973.

    Google Scholar 

  3. See for example the review by L. Muldawer in “Charge Transfer Electronic Structure of Alloys”, edited by L.H. Bennett and R.H. Willens, Metallurgical Society of AIME, 1974, p. 291.

    Google Scholar 

  4. T.B. Massalski and V. Mizutani in “Progress in Materials Science”, edited by B. Chalmers, J.W. Christian and T.B. Massalski, Pergamon Press, Oxford, 1978, to be published.

    Google Scholar 

  5. See for example W.E. Spicer in “Band Structure Spectroscopy of Metals and Alloys”, edited by D. Fabian, Academic Press, NY, 1972.

    Google Scholar 

  6. G.K. Wertheim and S. Hufner in “Charge Transfer-Electronic Structure of Alloys”, edited by L.H. Bennett and R.H. Willens, Metallurgical Society of AIME, 1974, p. 69.

    Google Scholar 

  7. See for example the extensive review by H. Ehrenreich and L.M. Schwartz in “Solid State Physics”, edited by H. Ehrenreich, F. Seitz and D. Turnbull, Academic Press, NY, 1976, Vol. 31, p. 149.

    Google Scholar 

  8. W. Kohn, Phys. Rev. Letters 2, 393 (1959).

    Article  ADS  Google Scholar 

  9. See review by S.C. Moss and R.H. Walker, J. Appl. Cryst. 8, 96 (1974).

    Article  Google Scholar 

  10. See for example K. Ohshima and D. Watanabe, Acta Cryst. A29, 520 (1973).

    Google Scholar 

  11. See the review by E.A. Stern in “Charge Transfer-Electronic Structure of Alloys”, edited by L.H. Bennett and R.H. Willens, Metallurgical Society of AIME, 1974, p. 197.

    Google Scholar 

  12. “Compton Scattering” edited by B. Williams, McGraw-Hill, London, 1977.

    Google Scholar 

  13. V. Heine, Proc. Phys. Soc. A69, 505 (1956).

    ADS  Google Scholar 

  14. P.T. Coleridge in “Low Temperature Physics-LTI3”, edited by K.D. Timmerhaus, W.J. O’Sullivan and E.F. Hammel, Plenum Press, NY, 2. 1974, Vol. 4, p. 9; P.T. Coleridge, to be published 1979.

    Google Scholar 

  15. See for example the papers by E.A. Stern, Phys. Rev. 157, 544 (1967); 168, 730 (1968); 188, 1163 (1969); B5, 366 (1972); 7B, 1303 (1973) and references therein; see also R.S. Sorbello, Phys. Rev. B15, 3045 (1977), as well as ref. 7.

    Google Scholar 

  16. P.T. Coleridge and I.M. Templeton, Can. Journal Phys. 49, 2449 (1971).

    Article  ADS  Google Scholar 

  17. J. Friedel, Adv. Phys. 3, 446 (1954).

    Article  ADS  Google Scholar 

  18. A.H. Lettington, Phil. Mag. 11, 863 (1965).

    Article  ADS  Google Scholar 

  19. R.S. Rea and A.S. DeReggi, Phys. Rev. B9, 3285 (1974).

    ADS  Google Scholar 

  20. P.T. Coleridge, N.A.W. Holzwarth and M.J.G. Lee, Phys. Rev. B10, 1213 (1974); Phys. Rev. B13, 3249 (1976).

    Google Scholar 

  21. R.G. Poulsen, D.L. Randies and M. Springford, J. Phys. F4, 981 (1974).

    Article  ADS  Google Scholar 

  22. I.M. Templeton and P.T. Coleridge, J. Phys. F5, 1307 (1975); P.T. Coleridge, J. Phys. F5, 1317 (1975).

    Article  ADS  Google Scholar 

  23. L.J. Hornbeck, W.K. Fung and W.L. Gordon, Phys. Rev. B15, 4750 (1977)

    Article  ADS  Google Scholar 

  24. W.K. Fung and W.L. Gordon, Phys. Rev. B15, 4762 (1977).

    ADS  Google Scholar 

  25. “Electron Lifetimes in Metals”, edited by D.H. Lowndes and F.M. Mueller, Physics of Condensed Matter, Vol. 19 (1975).

    Google Scholar 

  26. See for example J.M. Ziman, “Principles of the Theory of Solids”, second edition, University Press, Cambridge, 1972, p. 155.

    Google Scholar 

  27. E.J. Woll, Jr. and W. Kohn, Phys. Rev. 126, 1693 (1962); P.L. Taylor, Phys. Rev. 131, 1995 (1963); S.H. Vosko, R. Taylor and G.H. Keech, Can. J. Phys. 43, 1187 (1965); M.I. Kaganov and A.I. Semenenko, Soviet Phys. JETP 23, 419 (1966);L.M. Roth, H.J. Zeiger and T.A. Kaplan, Phys. Rev. 149, 519 (1966).

    Article  ADS  Google Scholar 

  28. B.N. Brockhouse, K.R. Rao and A.D.B. Woods, Phys. Rev. Lett. 7 ,93 (1961).

    Article  ADS  Google Scholar 

  29. A. Paskin and R.J. Weiss, Phys. Rev. Lett. 9, 199 (1962).

    Article  ADS  Google Scholar 

  30. J.W. Weymouth and R. Stedman, Phys. Rev. B2, 4743 (1970).

    ADS  Google Scholar 

  31. A.D.B. Woods and B.M. Powell, Phys. Rev. Lett. 15, 778 (1965); B.M. Powell, P. Martel and A.D.B. Woods, Phys. Rev. 171, 272 (1968).

    Article  ADS  Google Scholar 

  32. G. Nilsson and S. Rolandson, Phys. Rev. B9, 3278 (1974).

    ADS  Google Scholar 

  33. S.C. Ng and B.N. Brockhouse, S.S. Comm. 5, 79 (1967).

    Google Scholar 

  34. H.G. Smith, N. Wakabayashi and M. Mostoller in “Superconductivity in dand f-band Metals”, edited by D.H. Douglass, Plenum Press, NY, 1976, p. 223.

    Google Scholar 

  35. See for example the review by R. Comes and G. Shirane in “Highly Conducting One-Dimensional Solids”, edited by J.T. DeVreese, Plenum Press, NY, 1978, to be published.

    Google Scholar 

  36. G. Shirane, S.M. Shapiro, R. Comes, A.F. Garito and A.J. Heeger, Phys. Rev. B14, 2325 (1976).

    ADS  Google Scholar 

  37. D.E. Moncton, J.D. Axe and F.J. DiSalvo, Phys. Rev. B16, 801 (1977).

    ADS  Google Scholar 

  38. P.C. Clapp and S.C. Moss, Phys. Rev. 142, 418 (1966); Phys. Rev. 171, 754 (1968); Phys. Rev. 171, 764 (1968).

    Article  ADS  Google Scholar 

  39. M.A. Krivoglaz, “Theory of x ray and Thermal Neutron Scattering by Real Crystals”, Plenum Press, NY, 1969.

    Google Scholar 

  40. S.C. Moss and R.H. Walker, J. Appl. Cryst. 8 ,96 (1975).

    Article  Google Scholar 

  41. R.O. Scattergood, S.C. Moss and M.B. Bever, Acta Met. 18, 1087 (1970).

    Article  Google Scholar 

  42. See Fig. 13 in S. Berko and J. Mader, Appl. Phys. 5, 287 (1975).

    Article  ADS  Google Scholar 

  43. K. Ohshima and D. Watanabe, Acta Cryst. A29, 520 (1973).

    Google Scholar 

  44. Y. Yamada, J.C. Tsang, G.V. Subba-Rao, Phys. Rev. Letters 34, 1389 (1975).

    Article  ADS  Google Scholar 

  45. W,A. Kamitakahara, B.N. Harmon, J.G. Taylor, L. Kopp, H.R. Shanks and J. Rath, Phys. Rev. Lett. 36, 1393 (1976).

    Article  ADS  Google Scholar 

  46. J.C. McGroddy, A.J. McAlister and E.A. Stern, Phys. Rev. 139, A1844 (1965); Phys. Rev. 140, A2105 (1965).

    Article  ADS  Google Scholar 

  47. J.M. Tracy and E.A. Stern, Phys. Rev. B8, 582 (1973).

    ADS  Google Scholar 

  48. W.B. Vail, III, and E.A. Stern, to be published.

    Google Scholar 

  49. C.S. Kumar and E.A. Stern, to be published.

    Google Scholar 

  50. M.R. Halse, Phil. Trans. R. Soc. London A265, 507 (1969).

    ADS  Google Scholar 

  51. N.E. Christensen, Phys. Stat. Sol. B54, 551 (1972).

    ADS  Google Scholar 

  52. H. Jones, Proc. Phys. Soc. London 49, 250 (1937); W. Hume-Rothery and D.J. Roaf, Phil. Mag. 6, 55 (1961).

    Article  ADS  Google Scholar 

  53. C.J. Flaten and E.A. Stern, Phys. Rev. Bll, 638 (1975); see also G.P. Pells and H. Montgomery, J. Phys. C3, Suppl., S330 (1970).

    Article  ADS  Google Scholar 

  54. J.W.M. DuMond, Rev. Mod. Phys. 5, 1 (1933).

    Article  ADS  Google Scholar 

  55. See review paper by P. Platzman and N. Tzoar in “Compton Scattering” edited by B. Williams, McGraw-Hill, London, 1977, p. 28.

    Google Scholar 

  56. For experimental details see discussion by R.J. Wein, W.A. Reed and P. Pattison in “Compton Scattering” edited by B. Williams, McGraw Hill, London, 1977, p. 43; see also R.M. Singru, Phys. Stat. Sol. (a) 30, 11 (1975).

    Google Scholar 

  57. For a review see R.A. Bonham and H.F. Wellenstein in “Compton Scattering”, edited by B. Williams, McGraw-Hill, London, 1977, p. 234.

    Google Scholar 

  58. See for example the review by A.P. Mills, Jr., S. Berko, K.F. Canter in “Atomic Physics”, 5, edited by R. Marrus, M. Prior and H. Shugart, Plenum Press, NY, 1977, p. 103.

    Google Scholar 

  59. See the review by H.S.W. Massey, E.H.S. Burhop and H.B. Gilbody in “Electronic and Ionic Impact Phenomena”, V, University Press, Oxford, 1975.

    Google Scholar 

  60. See for example V.I. GoldanskiLand V.P. Shantarovich, Appl. Phys. 3, 335 (1974).

    Article  ADS  Google Scholar 

  61. A. Seeger, Appl. Phys. 4, 183 (1974).

    Article  ADS  Google Scholar 

  62. K. Fujiwara and O. Sueoka, J. Phys. Soc, Japan 21, 1947 (1966).

    Article  ADS  Google Scholar 

  63. S. Berko, M. Haghgooie and J.J. Mader, Phys. Letters 63A, 335 (1977)

    ADS  Google Scholar 

  64. A.P. Jeavons, G. Charpak, and R.J. Stubbs, Nucl. Inst. Methods 124, 491 (1975); A.A. Manuel, G.H. Bongi, O. Fischer, and M. Peter, Helv. Phys. Acta M), 166 (1977); R.J. Douglas and A.T. Stewart in H14 IV Int. Conf. on Positron Annihilation, Helsingr (1976).

    Article  ADS  Google Scholar 

  65. R.N. West, private communication.

    Google Scholar 

  66. W. Triftshauser in IInd Int. Conf. on Positron Annihilation, Kingstron, 4.77–86 (1971).

    Google Scholar 

  67. R.A. Ferrell, Rev. Mod. Phys. 28, 308 (1956).

    Article  ADS  Google Scholar 

  68. Chang Lee, J. Exptl. Theor. Phys. (USSR) 33, 365 (1957).

    Google Scholar 

  69. See the review by L. Hedin and S. Lundqvist in “Solid State Physics” 23, edited by F. Seitz, D. Turnbull and H. Ehrenreich, Academic Press, NY, 1969, p. 1.

    Google Scholar 

  70. D.J.W. Geldart, A. Houghton, and S.H. Vosko, Can. J. Phys. 42, 1939 (1964).

    Article  ADS  Google Scholar 

  71. S. Kahana, Phys. Rev. 117, 123 (1960); Phys. Rev. 129, 1622 (1963); J.P. Carbotte and S. Kahana, Phys. Rev. 139, A213 (1965). See also other references quoted in e+ reviews (Ref. 1).

    Article  ADS  Google Scholar 

  72. H. Weisberg and S. Berko, Phys. Rev. 154, 249 (1967).

    Article  ADS  Google Scholar 

  73. C.K. Majumdar, Phys. Rev. 140, A227 (1965).

    Article  ADS  Google Scholar 

  74. J.J. Donaghy and A.T. Stewart, Phys. Rev. 164, 396 (1967).

    Article  ADS  Google Scholar 

  75. W.C. Phillips and R.J. Weiss, Phys. Rev. 171, 790 (1968); P. Eisenberger, L. Lam, P.M. Platzman and P. Schmidt, Phys. Rev. B6, 3671 (1972); see also the discussion of K.F. Berggren, et al. in “Compton Scattering” edited by B. Williams, McGraw-Hill, London, 1977, p. 138.

    Article  ADS  Google Scholar 

  76. K. Fujiwara, T. Hyodo and J. Ohyama, J. Phys. Soc. Japan 33, 1047 (1972).

    Article  ADS  Google Scholar 

  77. S. De Benedetti, C.E. Cowan, W.R. Konneker and H. Primakoff, Phys. Rev. 77 ,205 (1950).

    Article  ADS  MATH  Google Scholar 

  78. S. Berko and J.S. Plaskett, Phys. Rev. 112, 1877 (1958).

    Article  ADS  Google Scholar 

  79. P. Kubica and M.J. Stott, J. Phys. F4, 1969 (1974).

    Article  ADS  Google Scholar 

  80. P.E. Mijnarends, Physica 63, 235 (1973).

    Article  ADS  Google Scholar 

  81. R. Harthoorn and P.E. Mijnarends, J. Phys. F., to be published.

    Google Scholar 

  82. P.E. Mijnarends, Phys. Rev. 160, 512 (1967); Phys. Rev. 178, 622 (1969) .

    Article  ADS  Google Scholar 

  83. M.J.G. Lee, CRC Crit. Rev. in Solid State Sci. 2, 85 (1971).

    Article  Google Scholar 

  84. J.J. Paciga and D.L. Williams, Can. J. Phys. 49, 3227 (1971).

    Article  ADS  Google Scholar 

  85. See the reconstruction of p(p) for Li from CP measurements by W. Schulke, Phys. Stat. Sol.b80, K67 (1977), and references therein.

    Google Scholar 

  86. J.J. Mader, S. Berko, H. Krakauer, and A. Bansil, Phys. Rev. Letters 37, 1232 (1976).

    Article  ADS  Google Scholar 

  87. A.T. Stewart, private communication.

    Google Scholar 

  88. S. Cushner, J.C. Erskine and S. Berko, Phys. Rev. B1, 2852 (1970).

    ADS  Google Scholar 

  89. H. Bross and H. Stohr, Appl, Phys. 3, 307 (1974).

    Article  ADS  Google Scholar 

  90. N. Shiotani, T. Okada, T. Mizoguchi and H. Sekizawa, J. Phys. Soc. Japan 38, 423 (1975) .

    Article  ADS  Google Scholar 

  91. S. Wakoh, Y. Kubo and J. Yamashita, J. Phys. Soc. Japan 38, 416 (1975).

    Article  ADS  Google Scholar 

  92. O. Terasaki, T. Fukamachi, S. Hosoya and D. Watanabe, Phys. Letters 43A, 123 (1973); T. Paakkari, S. Manninen, O. Jukinen and E. Liokkonen, Phys. Rev. B(6, 361 (1972); W.C. Phillips, Phys. Rev. B7, 1047 (1973).

    ADS  Google Scholar 

  93. S. Wakoh and J. Yamashita, J. Phys. Soc. Japan, 35, 1406 (1973).

    Article  ADS  Google Scholar 

  94. R.W. Williams and A.R. MacKintosh, Phys. Rev. 168, 679 (1968).

    Article  ADS  Google Scholar 

  95. R.P. Gupta and T.L. Loucks, Phys. Rev. 176, 848 (1968).

    Article  ADS  Google Scholar 

  96. S. Berko, Positron Annihilation, eds. A.T. Stewart and L.O. Roellig (Academic Press, NY, 1967) pp. 61–79.

    Google Scholar 

  97. a) P.E. Mijnarends, Physica 63, 248 (1973); b) S. Berko and A.P. Mills, Jr., J. Physique J32, C1–287 (1971).

    Article  ADS  Google Scholar 

  98. N. Shiotani, T. Okada, H. Sekizawa, T. Mizoguchi and T. Karasawa, J. Phys. Soc. Japan 35, 456 (1973); see also Ref. 96b.

    Article  ADS  Google Scholar 

  99. C. Hohenemser, J.M. Weingart and S. Berko, Phys. Lett. 28A, 41 (1968).

    ADS  Google Scholar 

  100. N. Sakai and K. Ono, J. Phys. Soc. Japan 42, 770 (1977).

    Article  ADS  Google Scholar 

  101. S. Wakoh and Y. Kubo, J. Magnetism Magn. Mat. 5, 202 (1977).

    Article  ADS  Google Scholar 

  102. J.P. Carbotte and A. Salvadori, Phys. Rev. 162, 290 (1967);

    Article  ADS  Google Scholar 

  103. T. Chiba, G.B. Dürr and W. Brandt, Phys. Stat. Sol. (b) 81, 609 (1977).

    Article  ADS  Google Scholar 

  104. A. Bansil, H. Ehrenreich, L. Schwartz and R.E. Watson, Phys. Rev. B9., 445 (1974)

    ADS  Google Scholar 

  105. L. Schwartz and A. Bansil, Phys. Rev. B10, 3261 (1974)

    ADS  Google Scholar 

  106. A. Bansil, L. Schwartz and H. Ehrenreich, Phys. Rev. B12, 2893 (1975).

    ADS  Google Scholar 

  107. G.M. Stocks, B.L. Györffy, E.S. Giuliano and R. Ruggeri, J. Phys. F., 7 ,1859 (1977)

    Article  ADS  Google Scholar 

  108. B. Gordon, W.M. Temmerman, B.L. Györffy and G.M. Stocks, Inst. Phys. Conf. Ser. 39, 402 (1978),

    Google Scholar 

  109. G.M. Stocks, W.M. Temmerman and B.L. Györffy, Phys. Rev. Letters 41, 339 (1978).

    Article  ADS  Google Scholar 

  110. P.E. Mijnarends and A. Bansil, Phys. Rev. B13, 2381 (1976).

    ADS  Google Scholar 

  111. P.E. Mijnarends, private communication.

    Google Scholar 

  112. K.M. Hong and J.P. Carbotte, Can. J. Phys. 55, 1335 (1977).

    Article  ADS  Google Scholar 

  113. M.J. Stott and P. Kubica, Phys. Rev. Bll, 1 (1975).

    ADS  Google Scholar 

  114. D.G. Lock and R.N. West, J. Phys. F4, 2179 (1974).

    Article  ADS  Google Scholar 

  115. A.T. Stewart, Phys. Rev. 133, A1651 (1964).

    Article  ADS  Google Scholar 

  116. P. Kubica, B.T.A. McKee, A.T. Stewart and M.J. Stott, Phys. Rev. Bll, 11 (1975).

    Google Scholar 

  117. C. Koening in “IVth Int. Conf. on Positron Annihilation,” Helsingor, 1976, Paper D6, also, to be published.

    Google Scholar 

  118. Y. Tsuchiya and S. Tamaki, J. Phys. F8, L29 (1978).

    Article  ADS  Google Scholar 

  119. A.G. Mathewson and H.P. Myers, J. Phys. 3 ,623 (1973).

    Article  ADS  Google Scholar 

  120. M. Ide, J. Phys. Soc. Japan 30, 1352 (1971).

    Article  ADS  Google Scholar 

  121. K. Berndt and O. Brümmer, Phys. Stat. Sol. (b) 78, 659 (1976) and references therein.

    Article  ADS  Google Scholar 

  122. O. Sueoka, J. Phys. Soc. Japan 23, 1246 (1967)

    Article  ADS  Google Scholar 

  123. D.L1. Williams, E. H. Becker, P. Petijevick and G. Jones, Phys. Rev. Lett. 20, 448 (1968).

    Article  ADS  Google Scholar 

  124. S. Berko, M. Haghgooie and J. J. Mader, Inst. Phys. Conf. 39, 94 (1978).

    Google Scholar 

  125. M. Haghgooie, S. Berko and U. Mizutani, to be published.

    Google Scholar 

  126. S. Berko and J.J. Mader, Phys. Cond. Matter 19, 405 (1975).

    Article  Google Scholar 

  127. W. Triftshäuser and A.T. Stewart, Phys. Chem. Solids 32, 2717 (1971).

    Article  ADS  Google Scholar 

  128. B.W. Murray and J.D. McGervey, Phys. Rev. Lett. 24, 9 (1970).

    Article  ADS  Google Scholar 

  129. A. Thompson, B.W. Murray and S. Berko, Phys. Lett. 37A, 461 (1971).

    ADS  Google Scholar 

  130. K. Fujiwara, O. Sueoka and T. Imura, J. Phys. Soc. Japan 24, 467 (1968).

    Article  ADS  Google Scholar 

  131. J.J. Mader, PhD Thesis, Brandeis University, 1975.

    Google Scholar 

  132. T. Akahane, O. Sueoka, H. Morinara, K. Fujiwara, J. Phys. Soc. Japan 36, 135 (1974).

    Article  ADS  Google Scholar 

  133. J.G. McLarnon and D.Ll. Williams, Sol. St. Commun. 13, 1469 (1973).

    Article  ADS  Google Scholar 

  134. J.G. McLarnon and D, Ll. Williams, J. Phys. Soc. Japan 43, 1244 (1977).

    Article  ADS  Google Scholar 

  135. M. Hasegawa, T. Suzuki, M. Hirabayashi and S. Yajima, Acta Cryst. A28, S102 (1972).

    Google Scholar 

  136. T. Suzuki, M. Hasegawa and M. Hirabayashi, Appl. Phys. 5, 269 (1974).

    Article  ADS  Google Scholar 

  137. A. Bansil, H. Ehrenreich, L. Schwartz and R.E. Watson, Phys. Rev. B9, 445 (1974).

    ADS  Google Scholar 

  138. L. Hodges, R.E. Watson, and H. Ehrenreich, Phys. Rev. B5, 3953 (1972).

    ADS  Google Scholar 

  139. M. Hasegawa, T. Suzuki and M. Hirabayashi, J. Phys. Soc. Japan 37, 85 (1974).

    Article  ADS  Google Scholar 

  140. E.C. Snow, J.T. Waber and A.C. Switendick, J. Appl. Phys. 37, 1342 (1966).

    Article  ADS  Google Scholar 

  141. D.C. Tsui, Phys. Rev. 164, 669 (1967).

    Article  ADS  Google Scholar 

  142. M. Hasegawa, T. Suzuki and M. Hirabayashi, J. Phys. Soc. Japan 43, 89 (1977).

    Article  ADS  Google Scholar 

  143. T. Suzuki, M. Hasegawa and M. Hirabayashi, J. Phys. F6, 779 (1976).

    Article  ADS  Google Scholar 

  144. T.B. Massalski and B. Cockayne, Acta Mat. 7, 762 (1959).

    Article  Google Scholar 

  145. R. Harthoorn and P.E. Mijnarends, to be published.

    Google Scholar 

  146. See list of references in Ref. lc and Ref. 41.

    Google Scholar 

  147. A. Bansil, S. Bessendorf and L. Schwartz, Inst. Phys. Conf. 39, 493 (1978).

    Google Scholar 

  148. R. Griessen, W.J. Venema, J.K. Jacobs and F.D. Manchester, Inst. Phys. Conf. 39, 490 (1978).

    Google Scholar 

  149. See for example the reviews by H.S.W. Massey in Physics Today _29, 42–51 (1976)

    Google Scholar 

  150. H.S.W. Massey, E.H.S. Burhop, and H.B. Gilbody in “Electronic and Ionic Impact Phenomena,” Vol. 5, Oxford U. Press (1975).

    Google Scholar 

  151. See the review by W. Brandt in “Advances in Chemistry Series 158,” edited by M. Kaminsky, Am. Chem. Soc., 1976, and references therein.

    Google Scholar 

  152. K.F. Canter, A.P. Mills, Jr., and S. Berko, Phys. Rev. Lett. 33, 7 (1974).

    Article  ADS  Google Scholar 

  153. A.P. Mills, Jr., to be published, Phys. Rev. Lett. 1973.

    Google Scholar 

  154. S. Pendayala, D. Barteil, F.E. Girouard and J.W. McGowan, Phys. Rev. Lett. 33, 1031 (1974)

    Article  ADS  Google Scholar 

  155. A.P. Mills, Jr., to be published 1978.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1979 Plenum Press, New York

About this chapter

Cite this chapter

Berko, S. (1979). Fermi Surface Studies in Disordered Alloys: Positron Annihilation Experiments. In: Phariseau, P., Györffy, B.L., Scheire, L. (eds) Electrons in Disordered Metals and at Metallic Surfaces. NATO Advanced Study Institutes Series, vol 42. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-3500-9_7

Download citation

  • DOI: https://doi.org/10.1007/978-1-4684-3500-9_7

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4684-3502-3

  • Online ISBN: 978-1-4684-3500-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics