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Aspects of the physics of microcrystals

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Part of the book series: Advances in Solid State Physics ((ASSP,volume 14))

Abstract

Changes in several solid state properties are expected when moving from the bulk crystal to small particles. The fundamental problems of the electronic band structure and the lattice vibration spectrum of particles having only 102 to 104 atoms are still in the beginning theoretical stages. Various anomalies should occur if the mean electronic level spacing exceeds thermal or photon or magnetic excitations. The recent widespread interest on surface excitations (surface phonons and plasmons) in small particles arises from the possibilities of observing the effects with infrared absorption and Raman and neutron scattering.

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References

  1. Lucas, A. A., J. Chem. Phys. 48, 3156 (1968).

    Article  ADS  Google Scholar 

  2. Tong, S. Y., Maradudin, A. A., Phys. Rev. 181, 1318 (1969).

    Article  ADS  Google Scholar 

  3. Jones, W. E., Fuchs, R., Phys. Rev. B4, 3581 (1971).

    Article  ADS  Google Scholar 

  4. Allen, R. E., Alldredge, G. P., de Wette, F. W., Phys. Rev. B4, 1648, 1661 (1971).

    Article  ADS  Google Scholar 

  5. Alldredge, G. P., Allen, R. E., de Wette, F. W., Phys. Rev. B4, 1682 (1971).

    Article  ADS  Google Scholar 

  6. Chen, T. S., Alldredge, G. P., de Wette, F. W., Physics Letters 46A, 91 (1973), Solid State Commun. 10, 941 (1972).

    Article  ADS  Google Scholar 

  7. Ibach, H., Phys. Rev. Lett. 27, 253 (1971).

    Article  ADS  Google Scholar 

  8. Rieder, K. H., Hörl, E. M., Phys. Rev. Lett. 20, 209 (1968).

    Article  ADS  Google Scholar 

  9. Genzel, L., Martin, T. P., Phys. stat. sol. (b) 51, 101 (1972).

    Article  ADS  Google Scholar 

  10. Martin, T. P., Phys. Rev. B7, 3906 (1973).

    Article  ADS  Google Scholar 

  11. Rieder, K. H., private communication.

    Google Scholar 

  12. Bogomolov, V. N., Klushin, N. A., Okuneva, N. M., Plachenova, E. L., Pogrebnoi, V. I., Chudnovskii, F. A., Sov. Phys.-Solid State 13, 1256 (1971).

    Google Scholar 

  13. Mie, G., Ann. Phys. Lpz. 25, 377 (1908).

    Article  ADS  Google Scholar 

  14. Fuchs, R., Kliewer, K. L., Phys. Rev. 140, A2076 (1965), J. Opt. Soc. Am. 58, 319 (1968).

    Article  ADS  Google Scholar 

  15. Kliewer, K. L., Fuchs, R., Phys. Rev. 144, 495 (1966), Phys. Rev. 150, 573 (1966).

    Article  ADS  Google Scholar 

  16. Fuchs, R., Kliewer, K. L., Pardee, W. J., Phys. Rev. 150, 589 (1966).

    Article  ADS  Google Scholar 

  17. Fuchs, R., Physics Letters 43A, 42 (1973).

    Article  ADS  Google Scholar 

  18. Englman, R., Ruppin, R.: Phys. Rev. Lett. 16, 898 (1966), J. Phys. C. Proc. Phys. Soc. 1, 614, 1515 (1968).

    Article  ADS  Google Scholar 

  19. Ruppin, R., Englman, R., Rep. Progr. Phys. 33, 149 (1970).

    Article  ADS  Google Scholar 

  20. Ruppin, R., Surf. Science 34, 20 (1973).

    Article  ADS  Google Scholar 

  21. Ritchie, R. H., Surf. Science 34, 1 (1973).

    Article  ADS  Google Scholar 

  22. Fröhlich, H., Theory of Dielectrics, Oxford, Clarendon (1949).

    Google Scholar 

  23. Szigeti, B., Proc. Roy. Soc. A204, 52 (1950). See also Born, M., Huang, K. H., Dynamical Theory of Crystal Lattices, Oxford, Clarendon, (1956).

    ADS  Google Scholar 

  24. Kittel, C. H., Einführung in die Festkörperphysik, Wien, Oldenbourg (1968).

    Google Scholar 

  25. Ferrell, R. A., Phys. Rev. 111, 1214 (1958).

    Article  ADS  MathSciNet  Google Scholar 

  26. Stern, E. A., Ferrell, R. A., Phys. Rev. 120, 130 (1960).

    Article  ADS  MathSciNet  Google Scholar 

  27. Fischer, B., Marschall, N., Queisser, H. J., Surf. Science 34, 50 (1973).

    Article  ADS  Google Scholar 

  28. Barker, A. S., Jr. Surf. Science 34, 62 (1973).

    Article  ADS  Google Scholar 

  29. Nahum, J., Ruppin, R., phys. stat. sol. (a) 16, 459 (1973).

    Article  ADS  Google Scholar 

  30. Genzel, L., Martin, T. P., Surf. Science 34, 33 (1973), phys. stat. sol. (b) 51, 91 (1972).

    Article  ADS  Google Scholar 

  31. Brion, J. J., Wallis, R. F., Hartstein, A., Burstein, E., Phys. Rev. Lett. 28, 1455 (1972), Surf. Science 34, 73 (1973).

    Article  ADS  Google Scholar 

  32. Chiu, K. W., Quinn, J. J., Nuovo Cimento, 10B, 1 (1972), Phys. Rev. B5, 4707 (1972).

    Article  ADS  Google Scholar 

  33. Ruppin, R., J. Phys. Chem. Solids 30, 2349 (1969).

    Article  ADS  Google Scholar 

  34. Maxwell-Garnett, J. C., Philos. Trans. R. Soc. Lond. 203, 385 (1904), 205, 237 (1906).

    Article  ADS  Google Scholar 

  35. Martin, T. P., Phys. Rev. 177, 1349 (1969), Phys. Rev. B1, 3480 (1970), Solid State Commun. 9, 623 (1971).

    Article  ADS  Google Scholar 

  36. Luxon, J. T., Montgomery, D. J., Summit, R., Phys. Rev. 188, 1345 (1969), J. Appl. Phys. 41, 2303 (1970).

    Article  ADS  Google Scholar 

  37. Bryksin, V. V., Gerbshtein, Y. M., Mirlin, D. N., Sov. Phys.-Solid State 13, 1342 (1971), Solid State Commun. 9, 669 (1971).

    Google Scholar 

  38. Kälin, R., Baltes, H. P., Kneubühl, F. K., Solid State Commun. 8, 1495 (1970), Helv. Physica Acta 43 (487) (1970).

    Article  ADS  Google Scholar 

  39. Abaev, M. I., Bogomolov, V. N., Bryksin, V. V., Klushin, N. A., Sov. Phys.-Solid State 13 1323 (1971).

    Google Scholar 

  40. Novak, L., phys. stat. sol. (b) 56, 307 (1973), Solid State Commun. 9, 2129 (1971).

    Article  ADS  Google Scholar 

  41. Pastrnak, J., Hejda, B., phys. stat. sol. (a) 10, 487 (1972).

    Article  ADS  Google Scholar 

  42. Bäuerle, D., Genzel, L., Martin, T. P., phys. stat. sol. (b) 59, 459 (1973); D. Bäuerle, phys. stat. sol., to be published.

    Article  ADS  Google Scholar 

  43. Hayes, R. R., Genzel, L., Martin, T. P., Perry, C. H., phys. stat. sol. (b) 60, K27 (1973).

    Article  ADS  Google Scholar 

  44. Fuchs, R., private communication.

    Google Scholar 

  45. Martin, T. P., Genzel, L., Phys. Rev. B8, 1630 (1973).

    Article  ADS  Google Scholar 

  46. Cochran, W., Adv. Phys. 9, 387 (1960).

    Article  ADS  Google Scholar 

  47. Rieder, K. H., Ishigame, M., Genzel, L., Phys. Rev. B6, 3804 (1972).

    Article  ADS  Google Scholar 

  48. Cardona, M., Rosenblum, B., Phys. Rev. 129, 991 (1963).

    Article  ADS  Google Scholar 

  49. Rieder, K. H., private communication.

    Google Scholar 

  50. Haydu, J., International Summer School on “The Generation of High Magnetic Fields and Their Application in Solid State Physics”, Würzburg, 1972.

    Google Scholar 

  51. Kreibig, U., Zachaias, P., Z. Physik 231, 128 (1970).

    Article  ADS  Google Scholar 

  52. Cohen, R. W., Cody, G. D., Coutts, M. D., Abeles, B., Phys. Rev. B8, 3689 (1973).

    Article  ADS  Google Scholar 

  53. Smithard, M. A., Solid State Commun. 13, 153 (1973).

    Article  ADS  Google Scholar 

  54. Kawabata, A., Kubo, R., J. Phys. Soc. Japan 21, 9, 1765 (1966).

    Article  Google Scholar 

  55. Kreibig, U., v. Fragstein, C., Z. Physik 224, 307 (1969).

    Article  ADS  Google Scholar 

  56. Kubo, R., J. Phys. Soc. Japan 17, 975 (1962), Comm. Solid St. Phys. 1, 61 (1968).

    Article  ADS  Google Scholar 

  57. Denton, R., Mühlschlegel, B., Scalapino, D. J., Phys. Rev. B7, 3589 (1973); Phys. Rev. Letts. 26, 707 (1971).

    Article  ADS  Google Scholar 

  58. Fröhlich, H., Physica (Utrecht) 4, 406 (1937).

    Article  ADS  Google Scholar 

  59. Greenwood, D. A., Brout, R., Krummhansl, J. A., Bull. Am. Phys. Soc. 5, 297 (1960).

    Google Scholar 

  60. Taupin, C., J. Phys. Chem. Solids 28, 41 (1967).

    Article  ADS  Google Scholar 

  61. Kobayashi, S., Takahashi, T., Sasaki, W., J. Phys. Soc. Jap. 32, 1234 (1972).

    Article  ADS  Google Scholar 

  62. Meier, F., Wyder, P., Phys. Rev. Lett. 30, 181 (1973).

    Article  ADS  Google Scholar 

  63. Gorkov, L. P., Eliashberg G. M., Sov. Phys. JETP 21, 940 (1965).

    ADS  Google Scholar 

  64. Dupree, R., Smithard, M. A., J. Phys. C 5, 408 (1972).

    ADS  Google Scholar 

  65. Rice, M. J., Bernasconi, J., Phys. Rev. Lett 29, 113 (1972).

    Article  ADS  Google Scholar 

  66. Rice, M. J., Schneider, W. R., Strässler, S., Phys. Rev. B8, 474 (1973).

    Article  ADS  Google Scholar 

  67. Knight, W. D., J. Vac. Sci. Technol. 10, 705 (1973).

    Article  ADS  Google Scholar 

  68. Schoenberg, D., Proc. Roy. Soc. (G. B.) A175, 49 (1940).

    Article  ADS  Google Scholar 

  69. Bardeen, J., Rev. Mod. Phys. 34, 667 (1962).

    Article  ADS  Google Scholar 

  70. Hurault, J. P., Maki, K., Beal-Monod, M. T., Phys. Rev. B3, 762 (1971).

    Article  ADS  Google Scholar 

  71. Deutscher, G., Phys. Lett. A 35, 28 (1971).

    Article  ADS  Google Scholar 

  72. Simanek, E., MacLaughlin, D. E., Imbro, D., Phys. Lett. A42, 357 (1973).

    Article  ADS  Google Scholar 

  73. Mühlschlegel, B., Scalapino, D. J., Denton, R., Phys. Rev. B6, 1767 (1972).

    Article  ADS  Google Scholar 

  74. Novotny, V., Meincke, P. P. M., Phys. Rev. B8, 4186 (1973).

    Article  ADS  Google Scholar 

  75. de la Cruz, F., Maloney, M. D., Cardona, M., Phys. Rev. B3, 3802 (1971).

    Article  ADS  Google Scholar 

  76. McMillan, W. L., Phys. Rev. 167, 331 (1968).

    Article  ADS  Google Scholar 

  77. Dickey, J. M., Paskin, A., Phys. Rev. Lett. 21, 1441 (1968).

    Article  ADS  Google Scholar 

  78. Evans, B. L., Young, P. A., Proc. Roy. Soc. (London) 298A, 74 (1967).

    Article  ADS  Google Scholar 

  79. Bachrach, R. Z., Brown, F. C., Phys. Rev. B1, 818 (1970).

    Article  ADS  Google Scholar 

  80. Berry, C. R., Phys. Rev. 153, 989 (1967);, Phys. Rev. 161, 848 (1967).

    Article  ADS  Google Scholar 

  81. Bendow, B., Phys. Rev. B3, 1999 (1971).

    Article  ADS  Google Scholar 

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H. J. Queisser

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© 1974 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH

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Genzel, L. (1974). Aspects of the physics of microcrystals. In: Queisser, H.J. (eds) Festkörperprobleme 14. Advances in Solid State Physics, vol 14. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0108467

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  • DOI: https://doi.org/10.1007/BFb0108467

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