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Ion Dynamics in Superionic Conductors

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Phonons: Theory and Experiments III

Part of the book series: Springer Series in Solid-State Sciences ((SSSOL,volume 66))

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Abstract

Superionic conductors (SIC) are solid electrolytes which have very high ionic conductivities comparable to those of liquid electrolytes. After a general introduction into the subject in Sects. 7.1, 2 the ionic interactions and dynamical models are discussed in Sect. 7.3. The simplest single-particle model which describes both the diffusive and oscillatory behaviour is the Brownian motion of a particle in a periodic potential treated in Sect. 7.4. Disorder-induced infrared absorption and Raman scattering is discussed in Sect. 7.5. Section 7.6 is devoted to a discussion of phonons in α-AgI and other SIC. Finally, in Sect. 7.7 a discussion is given to the lattice dynamical calculation of jump frequencies for ions in crystals with small defect concentrations as well as in SIC.

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References

  1. S. Geller (ed.): Solid Electrolytes, Topics Appl. Phys., Vol. 21 ( Springer, Berlin,Heidelberg 1977 )

    Google Scholar 

  2. S. Chandra: Superionic Solids ( North-Holland, Amsterdam 1981 )

    Google Scholar 

  3. Fast Ionic Transport in Solids,ed. by J.B. Bates and G.C. Famington (Proc.Intern. Conf. on Fast Ionic Transport in Solids, Gatlinburg, TE (North-Holland, Amsterdam 1981)

    Google Scholar 

  4. W. Dieterich, P. Fulde, I. Peschel: Adv. Phys. 29, 527 (1980)

    Article  ADS  Google Scholar 

  5. 7.5a W. Dieterich: Phys. Bl. 36, 354 (1980)

    Google Scholar 

  6. W. Dieterich: In Festkörperprobleme 21, 325 (Vieweg, Braunschweig 1981)

    Google Scholar 

  7. C.R.A. Catlow: Solid State Ionics 8, 89 (1983)

    Article  Google Scholar 

  8. H. Schulz: Ann. Rev. Mater. Sci. 12, 351 (1982)

    Article  ADS  Google Scholar 

  9. C.R.A. Catlow: Comments Solid State Phys. 9, 157 (1980)

    Google Scholar 

  10. M.B. Salamon (ed.): Physics of Superionic Conductors, Topics Cur. Phys., Vol. 15 ( Springer, Berlin, Heidelberg 1979 )

    Google Scholar 

  11. J.B. Boyce, B.A. Huberman: Phys. Repts. 51, 189 (1979)

    Article  ADS  Google Scholar 

  12. W. Hayes: Contemp. Phys. 19, 469 (1978)

    Article  ADS  Google Scholar 

  13. K. Funke: Semiconductors and Insulators 3, 351 (1978)

    Google Scholar 

  14. H.R. Zeller: Phys. BI. 33, 612 (1977)

    Google Scholar 

  15. K. Shahi: Phys. Stat. Sol. (a) 41, 11 (1977);

    Article  ADS  Google Scholar 

  16. M. O’Keeffe: Comments Sol. State Phys. 7, 163 (1977)

    Google Scholar 

  17. H.U. Beyeler, P. Brüesch: In Current Topics in Materials Science 2, 765 (North-Holland, Amsterdam 1976)

    Google Scholar 

  18. R.D. Armstrong, R.S. Bulmer, T. Dickinson: J. Solid State Chem. 8, 219 (1973)

    Article  ADS  Google Scholar 

  19. G.D. Mahan, W.L. Roth (eds.): Superionic Conductors ( Plenum, New York 1976 )

    Google Scholar 

  20. P. Brüesch: Phonons: Theory and Experiments I, Springer Ser. Solid-State Sci., Vol. 34 ( Springer, Berlin, Heidelberg 1982 )

    Google Scholar 

  21. L.W. Strock: Z. Physik Chem. B25, 411 (1934); B31, 132 (1936)

    Google Scholar 

  22. A.B. Lidiard: “Ionic Conductivity”, in Electrical Conductivity II, Encyclopedia of Physics, Vol. 20, ed. by S. Flügge ( Springer, Berlin, Göttingen 1957 ) p. 246

    Google Scholar 

  23. T. Geisel: In [Ref. 7.9, p.201]

    Google Scholar 

  24. M.J. Rice, W.L. Roth: J. Solid State Chem. 4, 294 (1972)

    Article  ADS  Google Scholar 

  25. H.U. Beyeler, P. Brüesch, L. Pietronero, W.R. Schneider, S. Strässler, H.R. Zeller:In [Ref. 7.9, p. 77]

    Google Scholar 

  26. T. Geisel: In [Ref. 7.9, p.206]

    Google Scholar 

  27. F.G. Mahan, W.J. Pardee: Phys. Lett. 49 A, 325 (1974)

    Google Scholar 

  28. W.J. Pardee, G.D. Mahan: J. Solid State Chem. 15, 310 (1975)

    Article  ADS  Google Scholar 

  29. H. Hinkelmann, B.A. Huberman: Solid State Commun. 19, 365 (1976)

    Article  ADS  Google Scholar 

  30. H. Hinkelmann: Solid State Commun. 21, 975 (1977)

    Article  ADS  Google Scholar 

  31. H.R. Zeller, P. Brüesch, L. Pietronero, S. Strässler: In [Ref. 7.19, p.201]

    Google Scholar 

  32. P. Brüesch, L. Pietronero, S. Strässler, H.R. Zeller: Phys. Rev. B 15, 4631 (1977)

    Article  ADS  Google Scholar 

  33. C.P. Flynn, A.M. Stoneham: Phys. Rev. B 1, 3966 (1970)

    Article  ADS  Google Scholar 

  34. P. Fulde, L. Pieteronero, W.R. Schneider, S. Strässler: Phys. Rev. Lett. 35, 1776 (1975)

    Article  ADS  Google Scholar 

  35. P. Brüesch, S. Strässler, H.R. Zeller: Phys. Stat. Sol. (a) 31, 217 (1975)

    Article  ADS  Google Scholar 

  36. P. Brüesch, L. Pietronero, H.R. Zeller: J. Phys. CO, 3977 (1976)

    Google Scholar 

  37. W. Dieterich, I. Peschel, W.R. Schneider: Z. Physik B 27, 177 (1977)

    Article  ADS  Google Scholar 

  38. H. Risken, H.D. Vollmer: Z. Physik B33, 297 (1979)

    Google Scholar 

  39. P. Brüesch, L. Pietronero, S. Strässler, H.R. Zeller: Electrochimica Acta 22, 717 (1977)

    Google Scholar 

  40. T. Geisel: Phys. Rev. B 20, 4294 (1979)

    Article  ADS  Google Scholar 

  41. B.A. Huberman, R.M. Martin: Phys. Rev. B 13, 1498 (1976)

    Article  ADS  Google Scholar 

  42. K.R. Subbaswami: Solid State Commun. 19, 1157 (1976); 21, 371 (1977)

    Article  Google Scholar 

  43. H. Hayashi, M. Kobayashi, I. Yokota: Solid State Commun. 31, 847 (1979)

    Article  ADS  Google Scholar 

  44. J. Jäckle: Z. Physik B 30, 255 (1978)

    Article  ADS  Google Scholar 

  45. R. Zeyher: Z. Physik B 31, 127 (1978)

    Article  ADS  Google Scholar 

  46. R. Zeyher: Solid State Commun. 36, 33 (1980)

    Article  ADS  Google Scholar 

  47. N. Mizoguchi, H. Hayashi, M. Kobayashi, I. Yokota: J. Phys. Soc. Jpn. 50, 2043(1981)

    Google Scholar 

  48. G. Jacucci, A. Rahman: J. Chem. Phys. 69, 4117 (1978)

    Article  ADS  Google Scholar 

  49. W. Schommers: Phys. Rev. Lett. 38, 1536 (1977)

    Article  ADS  Google Scholar 

  50. P. Vashishta, A. Rahman: Phys. Rev. Lett. 40, 1337 (1978)

    Article  ADS  Google Scholar 

  51. A. Fukumoto, A. Ueda, Y. Hiwatari: Solid State Ionics 3/4, 115 (1981)

    Google Scholar 

  52. M.J. Gillan: Solid State Ionics 9/10, 755 (1983)

    Google Scholar 

  53. R. Kubo: Rep. Prog. Phys. 29, 225 (1966)

    ADS  Google Scholar 

  54. W.R. Schneider: Z. Physik B 24, 135 (1976)

    Article  ADS  Google Scholar 

  55. M. Bixon, R. Zwanzig: J. Stat. Phys. 3, 245 (1971)

    Article  ADS  Google Scholar 

  56. D.H. Menzel (ed.): Fundamental Formulas of Physics, Vol. 1 (Dover, New York 1960 ) p. 59

    Google Scholar 

  57. S. Chandrasekhar: Rev. Mod. Phys. 15, 68 (1943)

    Article  Google Scholar 

  58. C.A. Wert: Phys. Rev. 79, 601 (1950)

    Article  ADS  Google Scholar 

  59. Y.M. Ivanchenko, L.A. Zil’berman: Zh. Eksp. Teor. Fiz. 55, 2395 (1968) [Soy. Phys -JETP 28, 1272 (1969)]

    Google Scholar 

  60. H. Mori: Progr. theor. Phys. (Kyoto) 33, 423 (1965)

    Article  ADS  Google Scholar 

  61. P. Brüesch: Phonons: Theory and Experiments II, Springer Ser. Solid-State Sci.,Vol. 65 ( Springer, Berlin, Heidelberg 1986 )

    Google Scholar 

  62. R. Shuker, R.W. Gammon: Phys. Rev. Lett. 25, 222 (1970)

    Article  ADS  Google Scholar 

  63. F.L. Galeener, P N. Sen: Phys. Rev. B 17, 1928 (1978)

    Article  ADS  Google Scholar 

  64. K. Funke, A Gacs, H.J. Schneider, S.M. Ansari, N. Martinkat, H. Roemer, H.G.Unruh: Solid State Ionics 11, 247 (1983);

    Article  Google Scholar 

  65. H. Roemer, D. Schwarz, H.G. Unruh, G. Luther, K. Funke: Solid State Ionics 11, 253 (1983)

    Article  Google Scholar 

  66. P. Brüesch, W. Bührer, H.J.M. Smeets: Phys. Rev. B 22, 970 (1980)

    Article  ADS  Google Scholar 

  67. P. Brüesch, H.U. Beyeler, W. Bührer: In Proceedings of the International Confer-ence on Lattice Dynamics, ed. by M. Balkanski ( Flammarion, Paris 1977 ) p. 527

    Google Scholar 

  68. R. Alban, G. Burns: Phys. Rev. B 16, 3746 (1977)

    Article  ADS  Google Scholar 

  69. G. Burns, R. Alben, F.H. Dacol, M.W. Shafer: Phys. Rev. B 20, 638 (1979)

    Article  ADS  Google Scholar 

  70. H. Böttger: Principles of Lattice Dynamics ( Akademie-Verlag, Berlin 1983 ) p. 192

    Google Scholar 

  71. A.S. Barker, Jr., R. Loudon: Rev. Mod. Phys. 44, 18 (1972)

    Article  ADS  Google Scholar 

  72. R.H. Stolen: Phys. Chem. Glasses 11, 83 (1970)

    Google Scholar 

  73. G. Burns, F.H. Dacol, M.W. Shafer: Phys. Rev. B 16, 1416 (1977)

    Article  ADS  Google Scholar 

  74. W. Bührer, R.M. Nickow, P. Brüesch: Phys. Rev. B 17, 3362 (1978)

    Article  ADS  Google Scholar 

  75. P. Brüesch, H.U. Beyeler, S. Strässler: Phys. Rev. 25, 541 (1982)

    Article  Google Scholar 

  76. B. Gras, K. Funke: Solid State Ionics 2, 341 (1981)

    Article  Google Scholar 

  77. G. Eckold, K. Funke: Z. Naturforsch. 28a, 1042 (1973)

    ADS  Google Scholar 

  78. M.J. Delaney, S. Ushioda: Solid State Commun. 19, 297 (1976)

    Article  ADS  Google Scholar 

  79. D. Gallagher, M.V. Klein: J. Phys. C9, L687 (1976)

    Google Scholar 

  80. P. Brüesch, T. Hibma, W. Bührer: Phys. Rev. B 27, 5052 (1983)

    Article  ADS  Google Scholar 

  81. P. Brüesch, W. Bührer, R.S. Perkins: J. Phys. C 10, 4023 (1977)

    Article  ADS  Google Scholar 

  82. G. Burns, F.H. Dacol, M.W. Shafer, R. Alben: Solid State Commun. 24, 753 (1977)

    Article  ADS  Google Scholar 

  83. G. Burns, R. Alben, F.H. Dacol, M.W. Shafer: Phys. Rev. B 20, 638 (1979)

    Article  ADS  Google Scholar 

  84. K. Funke: In [Ref. 7.17, p. 183]

    Google Scholar 

  85. R.J. Elliott, W. Hayes, W.G. Kleppmann, A.J. Rushworth, J.F. Ryan: Proc. R. Soc. Lond. A 360, 317 (1978)

    Article  ADS  Google Scholar 

  86. W. Hayes, A.M. Stoneham: Crystals with the Fluorite Structure, ed. by W. Hayes (Clarendon, Oxford 1974) Chap. 2

    Google Scholar 

  87. S.J. Allen, Jr., J.P. Remeika: Phys. Rev. Lett. 33, 1478 (1974)

    Article  ADS  Google Scholar 

  88. S.J. Allen, Jr., A.S. Cooper, F. DeRosa, J.P. Remeika, S.K. Ulasi: Phys. Rev.B 17, 4031 (1978)

    Article  ADS  Google Scholar 

  89. Ph. Colomban, G. Lucazeau: J. Chem. Phys. 72, 1213 (1980)

    Article  ADS  Google Scholar 

  90. Ph. Colomban, R. Mercier, G. Lucazeau: J. Chem. Phys. 75, 1388 (1981)

    Article  ADS  Google Scholar 

  91. C.P. Flynn: Point Defects and Diffusion ( Clarendon, Oxford 1972 ) p. 327

    Google Scholar 

  92. C.P. Flynn: Phys. Rev. 171, 682 (1968)

    Article  ADS  Google Scholar 

  93. S.A. Rice: Phys. Rev. 112, 804 (1958)

    Article  MathSciNet  ADS  Google Scholar 

  94. M. Kac: Am. J. Math. 65, 609 (1943)

    Article  Google Scholar 

  95. N.B. Slater: Theory of Unimolecular Reactions (Cornell U. Press, Ithaca, NY1959)

    Google Scholar 

  96. D. Feit: Phys. Rev. B 3, 1223 (1971)

    Article  ADS  Google Scholar 

  97. T.M. Haridasan, J. Govindarajan, M.A. Nerenberg, P.W.M. Jacobs: J. Phys.C 13, 3107 (1980)

    Article  ADS  Google Scholar 

  98. N.B. Slater: Proc. Roy. Soc. (London) A 194, 112 (1948)

    Article  ADS  Google Scholar 

  99. M. Dixon, M.J. Gillan: J. Phys. C 11, L165 (1978)

    Article  ADS  Google Scholar 

  100. A.B. Walker, M. Dixon, M.J. Gillan: J. Phys. C15, 4061 (1982)

    Google Scholar 

  101. M. Parinello, A. Rahman, P. Vashishta: Phys. Rev. Lett. 50, 1073 (1983)

    Article  ADS  Google Scholar 

  102. M.H. Dickens, W. Hayes, M.T. Hutchings, C. Smith: J. Phys. C 15, 4043 (1982)

    Article  ADS  Google Scholar 

  103. M.T. Hutchings, K. Clausen, M.H. Dickens, W. Hayes, J.K. Kiems, P.G. Schnabel, C. Smith: J. Phys. C 17, 3903 (1984)

    Article  ADS  Google Scholar 

  104. S. Brawer: Phys. Rev. 10, 3287 (1974)

    Article  ADS  Google Scholar 

  105. A. Höch: Quasielastische Streuung kalter Neutronen an Einkristallen der Hochtem-peraturphasen von AgI und Ag2Se, Dissertation, University of Hannover (1983)

    Google Scholar 

  106. H.U. Beyeler, L. Pietronero, S. Strässler: Phys. Rev. B22, 2988 (1980)

    Google Scholar 

  107. H.E. Roman, A. Bunde, W. Dieterich: Phys. Rev. B34, 3439 (1986)

    Google Scholar 

  108. S. Glasstone, K.J. Laidler, H. Eyring: The Theory of Rate Processes (McGraw Hill, New York 1941 ) pp. 15, 189

    Google Scholar 

  109. J.M. Thomas, W.J. Thomas: Introduction to the Principles of Heterogeneous Catalysis ( Academic, New York, London 1967 ) p. 51

    Google Scholar 

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  1. Brown Boveri Research Center, CH-5045, Baden-Dättwil, Switzerland

    Professor Dr. Peter Brüesch

  2. Ecole Polytechnique Fédérale de Lausanne, CH-1015, Lausanne, Switzerland

    Professor Dr. Peter Brüesch

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Brüesch, P. (1987). Ion Dynamics in Superionic Conductors. In: Phonons: Theory and Experiments III. Springer Series in Solid-State Sciences, vol 66. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-52271-0_7

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  • DOI: https://doi.org/10.1007/978-3-642-52271-0_7

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