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Electric field gradients in cubic alloys

  • Electric Field Gradients
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Abstract

The theoretical investigations of electric field gradient (EFG) and asymmetry parameter (ν) for cubic dilute alloys are reviewed. The valence and size EFG's and the Sternheimer antishielding factor are discussed in detail. The calculations of EFG and ν for simple and transition metal (TM) dilute alloys of aluminium and copper, TM dilute alloys of vanadium and trinary dilute alloys of noble metals are summarized. It is emphasized that the size EFG is as important as the valence EFG to calculate the total EFG and ν, which are compared with the experimental values. An epilogue for further investigations is added.

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References

  1. T.P. Das and E.L. Hahn, Solid State Phys. Suppl. 1 (Academic Press, New York, 1957) p. 1; M.H. Cohen and F. Reif, Solid State Phys. 5 (Academic Press, New York, 1958) p. 321.

    Google Scholar 

  2. N. Bloembergen and T.J. Rowland, Acta Metall. 1(1953)731.

    Google Scholar 

  3. T.J. Rowland, Phys. Rev. 119(1960)900.

    Article  ADS  Google Scholar 

  4. A. Blandin and J. Friedel, J. Phys. Radium (Paris) 21(1960)689; J. Phys. Chem. Solids 17 (1960)170.

    Google Scholar 

  5. W. Kohn and S.H. Vosko, Phys. Rev. 119(1960)912.

    Article  ADS  Google Scholar 

  6. G. Grüner and M. Minier, Adv. Phys. 26(1977)231.

    Article  ADS  Google Scholar 

  7. H.M. Foley, R.M. Sternheimer and D. Tycko, Phys. Rev. 93(1954)734.

    Article  ADS  Google Scholar 

  8. C.P. Slichter,Principles of Magnetic Resonance, 2nd edition (Springer, New York, 1978).

    Google Scholar 

  9. M.T. Beal-Monod and W. Kohn, J. Phys. Chem. Solids 29(1968)1877.

    Google Scholar 

  10. C. Rizzuto, Rep. Progr. Phys. 37(1974)147; G. Grüner and A. Zawadowski, Rep. Progr. Phys. 37(1974)1497; K.D. Sen, this volume.

    ADS  Google Scholar 

  11. B.L. Jensen, R. Nevald and D.L. Williams, J. Phys. F2(1972)169.

    Article  ADS  Google Scholar 

  12. P.L. Sagalyn and M.N. Alexander, Phys. Rev. B15(1977)5581.

    Article  ADS  Google Scholar 

  13. J. Friedel, Phil. Mag. 43(1952)153; Adv. Phys. 3(1954)446.

    MATH  Google Scholar 

  14. P.M. Holtham and P. Jena, J. Phys. F5(1975)1649.

    Article  ADS  Google Scholar 

  15. W.A. Harrison,Pseudopotentials in the Theory of Metals (Benjamin, New York, 1966).

    Google Scholar 

  16. X.A. DaSilva, A.A. Gomes and J. Danon, Phys. Rev. B4(1971)1161.

    ADS  Google Scholar 

  17. P.H. Dederichs and R. Zeller, Adv. Solid State Phys. 21(1981)243.

    Google Scholar 

  18. J. Singh, S.D. Raj and S. Prakash, Nuovo Cimento 1D(1982)235.

    Google Scholar 

  19. R.W. Shaw and W.A. Harrison, Phys. Rev. 167(1967)604.

    ADS  Google Scholar 

  20. S. Prakash, J. Phys. F8(1978)2497.

    Article  ADS  Google Scholar 

  21. S.D. Raj, J. Singh and S. Prakash, J. Phys. F12(1982)1941.

    Article  ADS  Google Scholar 

  22. S. Mahajan and S. Prakash, Nuovo Cimento 2D(1983)883.

    Google Scholar 

  23. P. Hohenberg and W. Kohn, Phys. Rev. B136(1964)864; W. Kohn and L. J. Sham, Phys. Rev. A140(1965)1133.

    ADS  MathSciNet  Google Scholar 

  24. A.K. Gupta, P. Jena and K.S. Singiwi, Phys. Rev. B18(1978)2712; A. Sjölander and M.J. Stott, Phys. Rev. B5(1972)2109.

    Article  ADS  Google Scholar 

  25. M.J. Ponnambalam and P. Jena, Phys. Rev. Lett. 46(1981)610.

    Article  ADS  Google Scholar 

  26. S. Mahajan and S. Prakash, Phys. State Sol. (b) 119(1983)381.

    Google Scholar 

  27. L.C.R. Alfred and D.O. Von Ostenburg, Phys. Lett. 26A(1967)27; Phys. Rev. 161(1967) 569; Phys. Rev. 185(1969)1040.

    ADS  Google Scholar 

  28. J. Friedel, Nuovo Cimento (Suppl.) 2(1958)287; J. de Phys. 23(1962)692; P.W. Anderson, Phys. Rev. 124 (1961)41.

    Google Scholar 

  29. P. Rennert, Phys. State Sol. (b) 50(1972)K37.

    Google Scholar 

  30. G. Laütenschlager and E. Mroson, Phys. State Sol. (b) 96(1979)183.

    Google Scholar 

  31. F. Mezei and G. Grüner, Phys. Rev. Lett. 29(1972)1465; V. Zlatic and G. Grüner, J. de Phys. 38(1977)L87.

    Article  ADS  Google Scholar 

  32. A. Süto and B. Vasvari, J. Phys. F3(1973)1548.

    ADS  Google Scholar 

  33. Y. Fukai and K. Watanabe, Phys. Rev. B2(1970)2353; ibid B10(1974)3015.

    Article  ADS  Google Scholar 

  34. H. Ehrenreich and M.H. Cohen, Phys. Rev. 115(1957)786; E. Hayashi and M. Shimizu, J. Phys. Soc. Japan 26(1969)1396.

    ADS  MathSciNet  Google Scholar 

  35. S. Prakash and S.K. Joshi, Phys. Rev. B2(1970)915.

    Article  ADS  Google Scholar 

  36. S.K. Rattan and J. Singh, private communication.

  37. R.P. Gupta and R.W. Siegel, Phys. Rev. Lett. 39(1977)1212.

    Article  ADS  Google Scholar 

  38. F.J. Blatt, Phys. Rev. 108(1957)285.

    ADS  Google Scholar 

  39. P.L. Sagalyn, A. Paskin and R. Harrison, Phys. Rev. 124(1961)428.

    Article  ADS  Google Scholar 

  40. K.K. Prasad Rao, N.C. Mohapatra and S. Hafizuddin, Phys. Rev. B24(1981)1941.

    ADS  Google Scholar 

  41. B. Pal, S.D. Raj, J. Singh and S. Prakash, Phys. State Sol. (b) 128(1985)133.

    Google Scholar 

  42. E.A. Faulkner, Phil. Mag. 5(1960)843.

    MathSciNet  Google Scholar 

  43. B. Pal, S. Mahajan, S.D. Raj, J. Singh and S. Prakash, Phys. Rev. B30 (1984)3191.

    Article  ADS  Google Scholar 

  44. S. Hafizuddin and N.C. Mohapatra, Phys. Lett. 101A(1984)419.

    ADS  Google Scholar 

  45. S.P. Singhal, Phys. Rev. B8(1973)3641.

    Article  ADS  Google Scholar 

  46. R.M. Sternheimer, Phys. Rev. 146(1966)140.

    Article  ADS  Google Scholar 

  47. T.P. Das and R. Bersohn, Phys. Rev. 102(1956)733; E.G. Wikner and T.P. Das, Phys. Rev. 109(1958)360.

    Article  ADS  Google Scholar 

  48. K.W. Lodge, J. Phys. F6(1978)1989.

    ADS  Google Scholar 

  49. E.N. Kaufmann and R.J. Vianden, Rev. Mod. Phys. 51(1979)161.

    Article  ADS  Google Scholar 

  50. K.W. Lodge, J. Phys. F8(1978)447; K.K. Prasad Rao and N.C. Mohapatra, Phys. Rev. A24(1981)10.

    Article  ADS  Google Scholar 

  51. R. Nevald, B.L. Jensen and P.B. Fynbo, J. Phys. F4(1974)1320.

    Article  ADS  Google Scholar 

  52. P. Jena, A.K. Gupta and K.S. Singiwi, Phys. Rev. B18(1978)2723; L.M. Kahn, F. Perrot and M. Rassolt, Phys. Rev. B27(1983)5110.

    ADS  Google Scholar 

  53. M. Manninen and R.H. Nieminen, J. Phys. F9(1979)1333.

    Article  ADS  Google Scholar 

  54. P. Jena, S.G. Das and K.S. Singiwi, Phys. Rev. Lett. 40(1978)264.

    ADS  Google Scholar 

  55. N.C. Mohapatra and S. Hifizuddin, Phys. Rev. B27(1983)7776.

    Article  ADS  Google Scholar 

  56. S.D. Raj, J. Singh and S. Prakash, Phys. Rev. B26(1982)736.

    Article  ADS  Google Scholar 

  57. S.D. Raj, J. Singh and S. Prakash, Phys. Rev. B27(1983)2241.

    ADS  Google Scholar 

  58. K.K. Prasad Rao and N.C. Mohapatra, Phys. Rev. B22(1980)3767.

    ADS  Google Scholar 

  59. C.M. Hurd and E.M. Gordon, J. Phys. Chem. Solids 29(1968)2205.

    Google Scholar 

  60. S.D. Raj, J. Singh and S. Prakash, Can. J. Phys. (1985).

  61. S. Prakash and P. Lucasson, Phys. State Sol. (b) 91(1979)339; Crystal Lattice Defects 8 (1979)111.

    Google Scholar 

  62. S. Prakash and P. Lucasson, J. Phys. F11(1981)2515.

    Article  ADS  Google Scholar 

  63. B. Pal, Ph.D. Thesis 1984, Panjab University, Chandigarh, India, unpublished.

  64. G. Grüner, Adv. Phys. 23(1974)941.

    Article  ADS  Google Scholar 

  65. T.J. Rowland and N. Shiotani, AIME Conf. 1968.

  66. K. Tompa, J. Phys. Chem. Solids 33(1972)163.

    Google Scholar 

  67. M. Minier and C. Minier, Phys. Rev. B22(1980)21.

    ADS  Google Scholar 

  68. J.M. Brettell and A.J. Heeger, Phys. Rev. 153(1967)319.

    Article  ADS  Google Scholar 

  69. C. Berthier and M. Minier, J. Phys. F3(1973)1268.

    ADS  Google Scholar 

  70. D.C. Lo, D.V. Lang, J.B. Boyce and C.P. Slichter, Phys. Rev. B8(1973)973.

    ADS  Google Scholar 

  71. L.R. Whalley and C.P. Slichter, Phys. Rev. B9(1974)3793.

    Article  ADS  Google Scholar 

  72. D.M. Follstaedt, D. Abbas, T.S. Stakelon and C.P. Slichter, Phys. Rev. B14(1976) 47.

    Article  ADS  Google Scholar 

  73. D.M. Follstaedt and C.P. Slichter, Phys. Rev. B16(1977)21.

    Article  ADS  Google Scholar 

  74. C. Berthier and M. Minier, J. Phys. F7(1977)515.

    Article  ADS  Google Scholar 

  75. R. Nevald and G. Peterson, J. Phys. F5(1975)1778.

    Article  ADS  Google Scholar 

  76. B. Pal, S.D. Raj, J. Singh and S. Prakash, Can. J. Phys. 61(1983)1064.

    ADS  Google Scholar 

  77. S. Hafizuddin, K.K. Prasad Rao and N.C. Mohapatra, J. Phys. F14(1984)251.

    Article  ADS  Google Scholar 

  78. E.V. Meerwall and T.J. Rowland, Phys. Rev. B5(1972)2480; E.V. Meerwall and D.S. Schreiber, Phys. Rev. B3(1971)1.

    ADS  Google Scholar 

  79. A.O.E. Animalu, Phys. Rev. B8(1973)3542.

    ADS  Google Scholar 

  80. K. Krölas, P. Heubes and G. Schatz, J. Phys. F13(1983)291; K. Krölas, P. Heubes, G. Schatz and A. Weidinger. Hyp. Int. 9(1981)297.

    ADS  Google Scholar 

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Prakash, S. Electric field gradients in cubic alloys. Hyperfine Interact 25, 491–519 (1985). https://doi.org/10.1007/BF02354663

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