Advertisement

Introduction to Exciton Physics

  • R. S. Knox
Part of the NATO Advanced Science Institute Series book series (NSSB, volume 88)

Abstract

Nonmetallic solids have a band gap in the one-electron picture. When particle interactions are considered, a large number of bound electron-hole states are found within the gap. These states, called excitons, play a large role in determining the optical properties of nonmetals. We discuss the electronic structure of excitons, their interactions with phonons and photons, and their further role of transporting excitation energy.

Keywords

Exciton State Alkali Halide Exciton Band Triplet Exciton Exciton Diffusion 
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. 1.
    R. S. Knox, Theory of Excitons (Supplement 5 to Solid State Physics, ed. by F. Seitz and D. Turnbull, Academic Press, N. Y., 1963).Google Scholar
  2. 2.
    J. Frenkel, Phys. Rev. 37, 17, 1276 (1931).ADSMATHCrossRefGoogle Scholar
  3. 3.
    R. S. Knox, J. Phys. Chem. Solids 9, 238, 265 (1959).ADSCrossRefGoogle Scholar
  4. 4.
    M. A. Davidovich, Phys. Stat. Solidi (b)98, 735 (1980).ADSCrossRefGoogle Scholar
  5. 5.
    J. C. Slater and W. Shockley, Phys. Rev. 50, 705 (1936).ADSCrossRefGoogle Scholar
  6. 6.
    G. H. Wannier, Phys. Rev. 52, 191 (1937).ADSCrossRefGoogle Scholar
  7. 7.
    N. F. Mott, Trans. Faraday Soc. 34, 500 (1938).CrossRefGoogle Scholar
  8. 8.
    R. J. Elliott, Phys. Rev. 108, 1384 (1957).ADSCrossRefGoogle Scholar
  9. 9.
    F. Bassani and V. Celli, Nuovo Cim. 11, 805 (1959),CrossRefGoogle Scholar
  10. 9a.
    F. Bassani and V. Celli, J. Phys. Chem. Solids 20, 64 (1961);ADSCrossRefGoogle Scholar
  11. 9b.
    E. Antoncik, J. Phys. Chem. Solids 10, 314 (1959);ADSCrossRefGoogle Scholar
  12. 9c.
    J. C. Phillips and L. Kleinman, Phys. Rev. 116, 287, 880 (1959).ADSGoogle Scholar
  13. 10.
    G. Dresselhaus, J. Phys. Chem. Solids 1, 14 (1956).ADSCrossRefGoogle Scholar
  14. 11.
    Anderson’s original paper [P. W. Anderson, Phys. Rev. 109, 1492 (1958)] does not contain explicit results of this kind.ADSCrossRefGoogle Scholar
  15. 11a.
    See, however, the discussion and references in C. B. Duke, Mol. Cryst. Liq. Cryst. 50, 63 (1979).CrossRefGoogle Scholar
  16. 12.
    E. M. Monberg and R. Kopelman, Chem. Phys. Lett. 58, 497 (1978).ADSCrossRefGoogle Scholar
  17. 13.
    S. K. Lyo, T. Holstein, and R. Orbach, Phys. Rev. B18, 1637 (1978).ADSGoogle Scholar
  18. 14.
    J. Klafter and R. Silbey, J. Chem. Phys. 72, 843 (1980).ADSCrossRefGoogle Scholar
  19. 15.
    D. G. Thomas and J. J. Hopfield, Phys. Rev. 124, 657 (1961).ADSCrossRefGoogle Scholar
  20. 16.
    J. Zieger and H. C. Wolf, Chem. Phys. 29, 209 (1978).CrossRefGoogle Scholar
  21. 17.
    N. E. Geacintov and C. E. Swenberg, in Luminescence Spectroscopy (M. D. Lumb, ed., Academic Press, N. Y., 1978), p. 239.Google Scholar
  22. 18.
    R. S. Markiewicz, T. P. Wolfe, and C. D. Jeffries, Phys. Rev. B15, 1988 (1977);ADSGoogle Scholar
  23. 18a.
    P. L. Bourley and J. P. Wolfe, Phys. Rev. Lett. 40, 526 (1978);ADSCrossRefGoogle Scholar
  24. 18b.
    M. A. Tamor and J. P. Wolfe, Phys. Rev. Lett. 44, 1703 (1980).ADSCrossRefGoogle Scholar
  25. 19.
    H. Haken, Nuovo Cim. [10] 3, 1230 (1956);MATHCrossRefGoogle Scholar
  26. 19a.
    H. Haken and W. Schottky, Z. Physik Chem. 16, 218 (1958).CrossRefGoogle Scholar
  27. 20.
    Y. Abe, Y. Osaha, and A. Morita, J. Phys. Soc. Japan 17, 1576 (1962).MathSciNetADSMATHCrossRefGoogle Scholar
  28. 21.
    L. J. Sham and T. M. Rice, Phys. Rev. 144, 708 (1966).ADSCrossRefGoogle Scholar
  29. 22.
    J. DesCloiseaux, J. Phys. Chem. Solids 26, 259 (1965).CrossRefGoogle Scholar
  30. 23.
    D. Jerome, T. M. Rice, and W. Kohn, Phys. Rev. 158, 462 (1967).ADSCrossRefGoogle Scholar
  31. 24.
    W. F. Brinkman and T. M. Rice, Phys. Rev. B2, 4302 (1970).ADSGoogle Scholar
  32. 25.
    W. A. Little, Phys. Rev. 134, A1416 (1964);ADSCrossRefGoogle Scholar
  33. 25a.
    D. Davis, H. Gutfreund, and W. A. Little, Phys. Rev. B13, 4766 (1976).ADSGoogle Scholar
  34. 26.
    D. Allender, J. W. Bray, and J. Bardeen, Phys. Rev. B7, 1020 (1973);ADSGoogle Scholar
  35. 26a.
    D. Allender, J. W. Bray, and J. Bardeen, Phys. Rev. B8, 4433 (1973).ADSGoogle Scholar
  36. 27.
    G. A. George and G. C. Morris, Molec. Cryst. Liq. Cryst. 11, 61 (1970).CrossRefGoogle Scholar
  37. 28.
    S. Nikitine, J. B. Grun, and M. Sieskind, J. Phys. Chem. Solids 17, 292 (1961).ADSCrossRefGoogle Scholar
  38. 29.
    J. Frenkel, Phys. Z. Sowjetunion 9, 158 (1936).MATHGoogle Scholar
  39. 30.
    Th. Förster, Ann. Physik [6] 2, 55 (1948).MATHCrossRefGoogle Scholar
  40. 31.
    O. Simpson, Proc. Roy. Soc. (London) A238, 402 (1956).ADSGoogle Scholar
  41. 32.
    E. I. Rashba, Fiz. Tverd. Tela 5, 1040 (1963) [= Sov. Phys. Solid State 5, 757 (1963)].Google Scholar
  42. 33.
    V. L. Broude and V. K. Dolganov, Fiz. Tverd. Tela 14, 274 (1972) [= Sov. Phys. Solid State 14, 225 (1972)].Google Scholar
  43. 34.
    E. F. Sheka, Mol. Cryst. Liq. Cryst. 29, 323 (1975).CrossRefGoogle Scholar
  44. 35.
    J. E. Eby, K. J. Teegarden, and D. B. Dutton, Phys. Rev. 116, 1099 (1959).ADSCrossRefGoogle Scholar
  45. 36.
    G. Baldini, Phys. Rev. 128, 1562 (1962).ADSCrossRefGoogle Scholar
  46. 37.
    R. S. Knox and F. Bassani, Phys. Rev. 124, 652 (1961).ADSMATHCrossRefGoogle Scholar
  47. 38.
    L. Resca, R. Resta, and S. Rodriguez, Phys. Rev. B18, 696, 702 (1978).ADSGoogle Scholar
  48. 39.
    S. Baroni, G. Grosso, L. Martinelli, and G. Pastori Parravicini, Phys. Rev. B20, 1713 (1979).ADSGoogle Scholar
  49. 40.
    N. Schwentner, Appl. Optics 19, 4104 (1980).ADSCrossRefGoogle Scholar
  50. 41.
    L. Apker and E. A. Taft, Phys. Rev. 81, 678 (1951).ADSCrossRefGoogle Scholar
  51. 42.
    J. J. Hopfield and D. G. Thomas, Phys. Rev. 132, 563 (1963).ADSCrossRefGoogle Scholar
  52. 43.
    M. Altarelli, G. Bachelet, and R. Del Sole, J. Vac. Sci. Tech. 16, 1370 (1979).ADSCrossRefGoogle Scholar
  53. 44.
    R. Kopelman, in Excited States (ed. by E. C. Lim. Academic Press, N. Y., 1975) vol. 2, p. 33.Google Scholar
  54. 45.
    B. J. Botter, C. J. Nonhof, J. Schmidt, and J. H. van der Waals, Chem. Phys. Lett. 43, 210 (1976).ADSCrossRefGoogle Scholar
  55. 46.
    D. M. Burland and A. H. Zewail, Adv. Chem. Phys. 40, 369 (1979).CrossRefGoogle Scholar
  56. 47.
    T. S. Rahman, R. S. Knox, and V. M. Kenkre, Chem. Phys. 44, 197 (1979).CrossRefGoogle Scholar
  57. 48.
    See, e.g. M. Born and K. Huang, Dynamical Theory of Crystal Lattices (Oxford U. Press, Oxford, 1954), Chap. IV and Appendices VII and VIII.MATHGoogle Scholar
  58. 49.
    C. B. Duke and T. F. Soules, Phys. Lett. 29A, 117 (1969);ADSGoogle Scholar
  59. 49a.
    T. F. Soules and C. B. Duke, Phys. Rev. B3, 262 (1971).ADSGoogle Scholar
  60. 50.
    M. Grover and R. Silbey, J. Chem. Phys. 54, 4843 (1971);ADSCrossRefGoogle Scholar
  61. 50a.
    S. Rackovsky and R. Silbey, Molec. Phys. 25, 61 (1973).ADSCrossRefGoogle Scholar
  62. 51.
    R. W. Munn and R. Silbey, J. Chem. Phys. 68, 2439 (1978).ADSCrossRefGoogle Scholar
  63. 52.
    R. Orbach, in Optical Properties of Ions in Crystals (ed. by H. M. Crosswhite and H. W. Moos, Interscience Publishers, N. Y., 1967), p. 445.Google Scholar
  64. 53.
    C. B. Duke, N. O. Lipari, and L. Pietronero, Chem. Phys. Lett. 30, 415 (1975).ADSCrossRefGoogle Scholar
  65. 54.
    D. P. Craig and L. A. Dissado, Proc. Roy. Soc. (London) A363, 153 (1978).ADSGoogle Scholar
  66. 55.
    W. Känzig, Phys. Rev. 99, 1890 (1955);ADSCrossRefGoogle Scholar
  67. 55a.
    T. G. Castner and W. Känzig, J. Phys. Chem. Solids 3, 178 (1957).ADSCrossRefGoogle Scholar
  68. 56.
    P. Y. Yu, in Excitons (ed. by K. Cho, Springer-Verlag, Berlin, 1979), Chap. 5, p. 211.CrossRefGoogle Scholar
  69. 57.
    D. C. Reynolds and T. C. Collins, Excitons: Their Properties and Uses (Academic Press, Inc., New York, 1981), Chap. 7.Google Scholar
  70. 58.
    See, e.g., R. W. Zwanzig, Physica 30, 1109 (1964).MathSciNetADSCrossRefGoogle Scholar
  71. 59.
    V. M. Kenkre, J. Stat. Phys. 19, 333 (1978).MathSciNetADSCrossRefGoogle Scholar
  72. 60.
    Y. Toyozawa, in Relaxation of Elementary Excitations (ed. by R. Kubo and E. Hanamura, Springer-Verlag, Berlin, 1980), p. 3.CrossRefGoogle Scholar
  73. 61.
    H. Sumi and Y. Toyozawa, J. Phys. Soc. Japan 31, 342 (1971).ADSCrossRefGoogle Scholar
  74. 62.
    N. F. Mott and A. M. Stoneham, J. Phys. C10, 3391 (1977).ADSGoogle Scholar
  75. 63.
    Y. Toyozawa, Prog. Theor. Phys. 26, 29 (1961).MathSciNetADSMATHCrossRefGoogle Scholar
  76. 64.
    M. N. Kabler, Phys. Rev. 136, A1296 (1964).ADSCrossRefGoogle Scholar
  77. 65.
    Y. Toyozawa, Tech. Report A-119 of the Institute of Solid State Physics, Tokyo (1964), unpublished.Google Scholar
  78. 66.
    CsI: T. Iida, Y. Nakaoka, J. P. von der Weid, and M. A. Aegerter, J. Phys. C 13, 983 (1980);ADSCrossRefGoogle Scholar
  79. 66a.
    L. Falco, J. P. von der Weid, M. A. Aegerter, T. Iida, and Y. Nakaoka, J. Phys. C 13, 993 (1980);]ADSCrossRefGoogle Scholar
  80. 66b.
    J. P. Pellaux, T. Iida, J. P. von der Weid, and M. A. Aegerter, J. Phys. C 13, 1009 (1980);ADSCrossRefGoogle Scholar
  81. 66c.
    AgC1: W. Hayes and I. B. Owen, J. Phys. C 11, L607 (1978).ADSCrossRefGoogle Scholar
  82. 67.
    K. Cho, in Excitons (ed. by K. Cho, Springer-Verlag, Berlin, 1979), p. 1.CrossRefGoogle Scholar
  83. 68.
    G. G. MacFarlane, T. P. MacLean, J. E. Quarrington, and V. Roberts, J. Phys. Chem. Solids 8, 388 (1959).ADSCrossRefGoogle Scholar
  84. 69.
    F. C. Brown, T. Masumi, and H. H. Tippins, J. Phys. Chem. Solids 22, 101 (1962).CrossRefGoogle Scholar
  85. 70.
    S. Tutihasi, Phys. Rev. 105, 882 (1957).ADSCrossRefGoogle Scholar
  86. 71.
    F. Urbach, Phys. Rev. 92, 1324 (1953).ADSCrossRefGoogle Scholar
  87. 72.
    R. Loudon, Proc. Phys. Soc. (London) 80, 952 (1962).ADSMATHCrossRefGoogle Scholar
  88. 73.
    J. J. Hopfield and J. M. Worlock, Phys. Rev. 137, A1455 (1965).ADSCrossRefGoogle Scholar
  89. 74.
    E. Hanamura, Solid State Comm. 12, 951 (1973).ADSCrossRefGoogle Scholar
  90. 75.
    A. Souma, T. Goto, T. Ohta, and M. Ueta, J. Phys. Soc. Japan 29, 697 (1970).ADSCrossRefGoogle Scholar
  91. 76.
    R. W. Svorec and L. L. Chase, Solid State Comm. 20, 353 (1976).ADSCrossRefGoogle Scholar
  92. 77.
    L. L. Chase, N. Peyghambarian, G. Grynberg, and A. Mysyrowicz, Opt. Comm. 28, 189 (1979).ADSCrossRefGoogle Scholar
  93. 78.
    E. I. Rashba, Fiz. Tekh. Poluprovodn. (USSR) 8, 1241 (1974) [= Sov. Phys. Semiconductors 8, 807 (1975)].Google Scholar
  94. 79.
    J. von Neumann and E. Wigner, Physik. Z. 30, 467 (1929) [English translation: R. S. Knox and A. Gold, in Symmetry in the Solid State (Benjamin, N. Y., 1964), p. 167].Google Scholar
  95. 80.
    U. Fano, Phys. Rev. 103, 1202 (1956).ADSCrossRefGoogle Scholar
  96. 81.
    J. J. Hopfield, Phys. Rev. 112, 1555 (1958).ADSMATHCrossRefGoogle Scholar
  97. 82.
    K. B. Tolpygo, Z. Eksp. Teor. Fiz. 20, 497 (1950);Google Scholar
  98. 82a.
    K. Huang, Proc. Roy. Soc. (London) A208, 352 (1951).ADSGoogle Scholar
  99. 83.
    D. D. Sell, S. E. Stokowski, and J. V. DiLorenzo, Phys. Rev. Lett. 27, 1644 (1971).ADSCrossRefGoogle Scholar
  100. 84.
    C. H. Henry and J. J. Hopfield, Phys. Rev. Lett. 15, 964 (1965).ADSCrossRefGoogle Scholar
  101. 85.
    W. Brenig, R. Zeyher, and J. L. Birman, Phys. Rev. B6, 4617(1972).ADSGoogle Scholar
  102. 86.
    R. G. Ulbrich and C. Weisbuch, Phys. Rev. Lett. 38, 865 (1977).ADSCrossRefGoogle Scholar
  103. 87.
    T. Itoh and T. Suzuki, J. Phys. Soc. Japan 45, 1939 (1978).ADSCrossRefGoogle Scholar
  104. 88.
    T. Mita, K. Sotome, and M. Ueta, Solid State Comm. 33, 1135 (1980).ADSCrossRefGoogle Scholar
  105. 89.
    Y. Masumoto, Y. Unuma, Y. Tanaka, and S. Shionoya, J. Phys. Soc. Japan 47, 1844 (1979).ADSCrossRefGoogle Scholar
  106. 90.
    B. Hönerlage, A. Bivas, and V. D. Phach, Phys. Rev. Lett. 41, 49 (1978).ADSCrossRefGoogle Scholar
  107. 91.
    R. G. Ulbrich and G. W. Fehrenbach, Phys. Rev. Lett. 43, 963 (1979).ADSCrossRefGoogle Scholar
  108. 92.
    A. Otto, Z. Physik 216, 398 (1968).ADSCrossRefGoogle Scholar
  109. 93.
    B. Fischer and J. Lagois, in Excitons (K. Cho, ed. Springer-Verlag, Berlin, 1979), Chap. 4, p. 183.CrossRefGoogle Scholar
  110. 94.
    J. Lagois, Ph.D. Thesis, Stuttgart (1976).Google Scholar
  111. 94a.
    See [93].*B. Fischer and J. Lagois, in Excitons (K. Cho, ed. Springer-Verlag, Berlin, 1979), Chap. 4, p. 183.CrossRefGoogle Scholar
  112. 95.
    A. S. Davydov, Zh. Eksp. Teor. Fiz. 18, 210 (1948).Google Scholar
  113. 96.
    H. C. Wolf, in Solid State Physics (F. Seitz and D. Turnbull, eds., Academic Press, Inc., N. Y., vol. 9, 1959), p. 1.Google Scholar
  114. 97.
    H. Mahr, Phys. Rev. 122, 1464 (1961).ADSCrossRefGoogle Scholar
  115. 98.
    T. Murata and Y. Nakai, J. Phys. Soc. Japan 23, 904 (1967).ADSCrossRefGoogle Scholar
  116. 99.
    Y. Nakai, T. Murata, and K. Nakamura, J. Phys. Soc. Japan 18, 1481 (1963).ADSCrossRefGoogle Scholar
  117. 100.
    Y. Onodera and Y. Toyozawa, J. Phys. Soc. Japan 24, 341 (1968).ADSCrossRefGoogle Scholar
  118. 101.
    Y. Toyozawa, Prog. Theor. Phys. 20, 53 (1958);ADSMATHCrossRefGoogle Scholar
  119. 101a.
    Y. Toyozawa, Prog. Theor. Phys. 27, 89 (1962).ADSMATHCrossRefGoogle Scholar
  120. 102.
    W. Martienssen, J. Phys. Chem. Solids 2, 257 (1957).ADSCrossRefGoogle Scholar
  121. 103.
    M. V. Kurik, Phys. Stat. Sol. (a)8, 9 (1971).ADSCrossRefGoogle Scholar
  122. 104.
    D. L. Dexter, Nuovo Cim. Suppl. 7, 245 (1958).CrossRefGoogle Scholar
  123. 105.
    J. J. Hopfield, J. Phys. Chem. Solids 22, 63 (1961).ADSCrossRefGoogle Scholar
  124. 106.
    T. Skettrup, Phys. Rev. B18, 2622 (1978).ADSGoogle Scholar
  125. 107.
    D. Redfield, Phys. Rev. 130, 916 (1963).ADSCrossRefGoogle Scholar
  126. 108.
    J. D. Dow and D. Redfield, Phys. Rev. B5, 594 (1972).ADSGoogle Scholar
  127. 109.
    E. Mohler and B. Thomas, Phys. Rev. Lett. 44, 543 (1980).ADSCrossRefGoogle Scholar
  128. 110.
    H. Mahr, Phys. Rev. 125, 1510 (1962).ADSCrossRefGoogle Scholar
  129. 111.
    J. D. Wiley, E. Schonheer, and A. Breitschwerdt, Solid State Comm. 34, 891 (1980);ADSCrossRefGoogle Scholar
  130. 111a.
    J. D. Wiley, D. Thomas, E. Schonheer, and A. Breitschwerdt, J. Phys. Chem. Solids 41, 801 (1980).ADSCrossRefGoogle Scholar
  131. 112.
    J. D. Dow, M. Bowen, R. Bray, D. L. Spears, and K. Hess, Phys. Rev. B10, 4305 (1974).ADSGoogle Scholar
  132. 113.
    J. Klafter and J. Jortner, Chem. Phys. 26, 421 (1977).ADSCrossRefGoogle Scholar
  133. 114.
    N. Schwentner, G. Martens, and H. W. Rudolf, Phys. Stat. Sol. (b) 106, 183 (1981).ADSCrossRefGoogle Scholar
  134. 115.
    M. Itoh and Y. Nakai, Solid State Comm. 27, 1155 (1978).ADSCrossRefGoogle Scholar
  135. 116.
    M. Itoh and Y. Nakai, J. Phys. Soc. Japan 46, 546 (1979).ADSCrossRefGoogle Scholar
  136. 117.
    C. B. Harris and D. A. Zwemer, Ann. Rev. Phys. Chem. 29, 473 (1978).ADSCrossRefGoogle Scholar
  137. 118.
    D. M. Burland, D. E. Cooper, M. D. Fayer, and C. R. Gochanour, Chem. Phys. Lett. 52, 279 (1977).ADSCrossRefGoogle Scholar
  138. 119.
    M. D. Galanin and Z. A. Chizikova, Opt. i. Spektrosk. 1, 175 (1956).Google Scholar
  139. 120.
    P. Avakian and R. E. Merrifield, Phys. Rev. Lett. 13, 541 (1964).ADSCrossRefGoogle Scholar
  140. 121.
    H. C. Wolf, Adv. Atomic and Molec. Phys. 3, 119 (1967).CrossRefGoogle Scholar
  141. 122.
    M. von Smoluchowski, Z. Physik. Chem. (Leipzig) 92, 129 (1917);Google Scholar
  142. 122a.
    B. Sveshnikoff, Acta Physicochimica URSS 3, 257 (1935);Google Scholar
  143. 122b.
    S. Chandrasekhar, Rev. Mod. Phys. 15, 1 (1943).MathSciNetADSMATHCrossRefGoogle Scholar
  144. 122c.
    An especially lucid discussion is given by F. C. Collins and G. E. Kimball, J. Colloid Sci. 4, 425 (1949).CrossRefGoogle Scholar
  145. 123.
    R. C. Powell and R. G. Kepler, Phys. Rev. Lett. 22, 636, 1232 (1969);ADSCrossRefGoogle Scholar
  146. 123a.
    R. C. Powell and R. G. Kepler, J. Luminescence 1, 254 (1970).ADSCrossRefGoogle Scholar
  147. 124.
    R. C. Powell and Z. G. Soos, Phys. Rev. B5, 1547 (1972);ADSGoogle Scholar
  148. 124a.
    Z. G. Soos and R. C. Powell, Phys. Rev. B6, 4035 (1972).ADSGoogle Scholar
  149. 125.
    R. C. Powell and Z. G. Soos, J. Luminescence 11, 1 (1975).ADSCrossRefGoogle Scholar
  150. 126.
    D. L. Dexter, J. Chem. Phys. 21, 836 (1953).ADSCrossRefGoogle Scholar
  151. 127.
    Z. Bay and R. Pearlstein, Proc. Nat. Acad. Sci. (US) 50, 962, 1071 (1963).ADSCrossRefGoogle Scholar
  152. 128.
    R. M. Pearlstein, Ph.D. thesis, University of Maryland (1966).Google Scholar
  153. 129.
    Th. Förster, Z. Naturf. 4a, 321 (1949).ADSGoogle Scholar
  154. 130.
    Y. M. Wong and V. M. Kenkre, Phys. Rev. B20, 2438 (1979).ADSGoogle Scholar
  155. 131.
    N. N. Tunitskii and Kh. S. Bagdasar’yan, Opt. i Spek. 15, 100 (1963) [= Opt. and Spectr. 15, 50 (1963).Google Scholar
  156. 132.
    M. Yokota and O. Tanimoto, J. Phys. Soc. Japan 22, 779 (1967).ADSCrossRefGoogle Scholar
  157. 133.
    U. K. A. Klein, R. Frey, M. Hauser, and U. Gösele, Chem. Phys. Lett. 41, 139 (1976).ADSCrossRefGoogle Scholar
  158. 134.
    R. P. Hemenger, R. M. Pearlstein, and K. Lakatos-Lindenberg, J. Math. Phys. 13, 1056 (1972).ADSCrossRefGoogle Scholar
  159. 135.
    R. D. Wieting, M. D. Fayer, and D. D. Dlott, J. Chem. Phys. 69, 1996 (1978).ADSCrossRefGoogle Scholar
  160. 136.
    A. Blumen and J. Manz, J. Chem. Phys. 71, 4694 (1979).ADSCrossRefGoogle Scholar
  161. 137.
    D. L. Huber, Phys. Rev. B20, 2307 (1979).ADSGoogle Scholar
  162. 138.
    H. C. Chow and R. C. Powell, Phys. Rev. B21, 3785 (1980).ADSGoogle Scholar
  163. 139.
    W. Güttler, J. U. von Schutz, and H. C. Wolf, Chem. Phys. 24, 159 (1977).CrossRefGoogle Scholar
  164. 140.
    D. D. Dlott, M. D. Fayer, and R. D. Wieting, J. Chem. Phys. 69, 2752 (1978).ADSCrossRefGoogle Scholar
  165. 141.
    D. C. Ahlgren, E. M. Monberg, and R. Kopelman, Chem. Phys. Lett. 64, 122 (1979).ADSCrossRefGoogle Scholar
  166. 142.
    F. Perrin, Ann. Physique 17, 283 (1932).Google Scholar
  167. 143.
    Th. Förster, in Modem Quantum Chemistry, part III (O. Sinanoglu, ed., Academic Press, Inc., N. Y., 1965), p. 93.Google Scholar
  168. 144.
    V. M. Kenkre and R. S. Knox, Phys. Rev. B9, 5279 (1974).ADSGoogle Scholar
  169. 145.
    V. M. Kenkre and R. S. Knox, Phys. Rev. Lett. 33, 803 (1974).ADSCrossRefGoogle Scholar
  170. 146.
    V. M. Kenkre and R. S. Knox, J. Luminescence 12, 197 (1976).ADSCrossRefGoogle Scholar
  171. 147.
    V. M. Kenkre, in Statistical Mechanics and Statistical Methods and Application (U. Landman, ed., Plenum Publ. Corp., N. Y., 1977), p. 441.CrossRefGoogle Scholar
  172. 148.
    V. M. Kenkre, in Exciton Dynamics in Molecular Crystals and Aggregates (H. Haken, ed., Springer-Verlag, in preparation).Google Scholar
  173. 149.
    H. Haken and P. Reineker, Z. Physik 249, 253 (1972);ADSCrossRefGoogle Scholar
  174. 149a.
    H. Haken and G. Strobl, Z. Physik 262, 135 (1973).MathSciNetADSCrossRefGoogle Scholar
  175. 150.
    P. Reineker, Phys. Rev. B19, 1999 (1979).ADSGoogle Scholar
  176. 151.
    V. M. Kenkre, Phys. Rev. B12, 2150 (1975).ADSGoogle Scholar
  177. 152.
    R. M. Shelby, A. H. Zewail, and C. B. Harris, J. Chem. Phys. 64, 3192 (1976).ADSCrossRefGoogle Scholar
  178. 153.
    C. B. Harris, Chem. Phys. Lett. 52, 5 (1977).ADSCrossRefGoogle Scholar
  179. 154.
    K. Ueda and Y. Tanabe, J. Phys. Soc. Japan 48, 1137 (1980).ADSCrossRefGoogle Scholar
  180. 155.
    J. R. Salcedo, A. E. Siegman, D. D. Dlott, and M. D. Fayer, Phys. Rev. Lett. 41, 131 (1978).ADSCrossRefGoogle Scholar
  181. 156.
    V. M. Kenkre, Phys. Lett. 82A, 100 (1981).ADSGoogle Scholar
  182. 157.
    V. M. Kenkre and Y. M. Wong, Phys. Rev. B22, 5716 (1980), and to be published.ADSGoogle Scholar
  183. 158.
    R. G. Kepler, J. C. Caris, P. Avakian, and E. Abramson, Phys. Rev. Lett. 10, 400 (1963).ADSCrossRefGoogle Scholar
  184. 159.
    A. J. Campillo, S. L. Shapiro, and C. E. Swenberg, Chem. Phys. Lett. 52, 11 (1977).ADSCrossRefGoogle Scholar
  185. 160.
    G. Paillotin, C. E. Swenberg, J. Breton, and N. E. Geacintov, Biophys. J. 25, 513 (1979).CrossRefGoogle Scholar
  186. 161.
    S. D. Babenko, V. A. Benderskii, V. L. Goldanskii, A. G. Lavrushko, and V. P. Tychinskii, Phys. Stat. Solidi (b)45, 91 (1971).ADSCrossRefGoogle Scholar
  187. 162.
    N. E. Geacintov and J. Breton, Biophys. J. 17, 1 (1977).ADSCrossRefGoogle Scholar
  188. 163.
    T. G. Monger and W. W. Parson, Biochim. Biophys. Acta 460, 393 (1977).CrossRefGoogle Scholar
  189. 164.
    T. S. Rahman and R. S. Knox, Phys. Stat. Sol. (b)58, 715 (1973).ADSGoogle Scholar
  190. 165.
    B. P. Wittmershaus and R. S. Knox, unpublished.Google Scholar
  191. 166.
    C. E. Swenberg and N. E. Geacintov, in Organic Molecular Photophysics (J. B. Birks, ed., John Wiley and Sons, N. Y., 1973), vol. 1, p. 489.Google Scholar
  192. 167.
    V. M. Kenkre, Phys. Rev. B22, 2089 (1980).ADSGoogle Scholar
  193. 168.
    A. Mysyrowicz, J. B. Grun, R. Levy, A. Bivas, and S. Nikitine, Phys. Lett. 26A, 615 (1968).ADSGoogle Scholar
  194. 169.
    E. Hanamura and H. Haug, Phys. Lett. 33C, 209 (1977).Google Scholar
  195. 170.
    N. Nagasawa, T. Mita, and M. Ueta, J. Phys. Soc. Japan 47, 909 (1979).ADSCrossRefGoogle Scholar
  196. 171.
    L. L. Chase, N. Peyghambarian, G. Grynberg, and A. Mysyrowicz, Phys. Rev. Lett. 42, 1231 (1979).ADSCrossRefGoogle Scholar

Copyright information

© Plenum Press, New York 1983

Authors and Affiliations

  • R. S. Knox
    • 1
  1. 1.Department of Physics and AstronomyUniversity of RochesterRochesterUSA

Personalised recommendations