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Energy transfer in concentrated systems

  • Richard C. Powell
  • George Blasse
Conference paper
Part of the Structure and Bonding book series (STRUCTURE, volume 42)

Abstract

This chapter starts with a theoretical description of energy transfer in solids. First we consider single-step energy transfer and later multistep energy migration. The importance of separating the migration process and the trapping process is stressed. Experimental methods are also reviewed. Finally a large number of materials is treated. First those with strongly temperature-dependent energy migration are considered (tungstates, vanadates, Ce3+, Pb3+). Second, compounds with weak or no temperature dependence of the energy migration are reviewed (compounds of the transition metal and trivalent lanthanide ions and hexavalent uranium). It turns out that energy migration in nearly all of these systems is only qualitatively, and not quantitatively understood. Suggestions to improve this situation are given. These relate also to the influence of dimensionality on energy migration.

Keywords

Energy Transfer Host Lattice Energy Migration Nonradiative Decay Concentrate System 
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.

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References

  1. 1.
    Knox, R. S.: Theory of Excitons, Academic Press, New York, 1963; Dexter, D. L., Knox, R. S.: Excitons, Interscience, New York, 1965Google Scholar
  2. 2.
    Perrin, J.: Cons. Chim. Solvay, 2nd edit., Gauthier-Villar, Paris, 1925, p. 322; Perrin, F.: Ann. Chim. Phys. 17, 283 (1932)Google Scholar
  3. 3.
    Förster, T.: Ann. Phys. 2, 55 (1948)Google Scholar
  4. 4.
    Förster, T.: Z. Naturforsch. A4, 321 (1949)Google Scholar
  5. 5.
    Förster, T.: Discuss. Faraday Soc. 27, 7 (1959) in: Comparative Effects of Radiation (eds. M. Burton, J. S. Kirby-Smith, J. L. Magee) Wiley, New York, 1960, p. 300; Radiation Res. Suppl. 2, 326 (1960); Modern Quantum Chem. 3 (ed. O. Sinanoglu) Academic Press, New York, 1966, p. 93CrossRefGoogle Scholar
  6. 6.
    Dexter, D. L.: J. Chem. Phys. 21, 836 (1953)CrossRefGoogle Scholar
  7. 7.
    Trlifaj, M.: Czech. J. Phys. 5, 463 (1955); 6, 533 (1956); 8, 510 (1958)CrossRefGoogle Scholar
  8. 8.
    Wolf, H. C.: Adv. Atomic Mol. Phys. 3, (eds., D. R. Bates, I. Estermann) Academic Press, New York, 1967, p. 119Google Scholar
  9. 9.
    Powell, R. C., Soos, Z. G.: J. Lumin. 11, 1 (1975)CrossRefGoogle Scholar
  10. 10.
    Inokuti, M., Hirayama, F.: J. Chem. Phys. 43, 1978 (1965)CrossRefGoogle Scholar
  11. 11.
    Eisenthal, K. B., Siegel, S.: J. Chem. Phys. 41, 652 (1964)CrossRefGoogle Scholar
  12. 12.
    Orbach, R., in: Optical Properties of Ions in Solids (ed. B. DiBartolo) Plenum Press, New York, 1975, p. 355; Orbach, R., in: Optical Properties of Ions in Crystals (eds.,H. M. Crosswhite, H. W. Moos) Interscience, New York, 1967, p. 445; Holstein, T., Lyo, S. K., Orbach, R.: Phys. Lett. 36, 891 (1976)Google Scholar
  13. 13.
    Miyakawa, T., Dexter, D. L.: Phys. Rev. B1, 2961 (1970)Google Scholar
  14. 14.
    DiBartolo, B., Powell, R. C.: Phonons and Resonances in Solids, Wiley, New York, 1976Google Scholar
  15. 15.
    Auzel, F., in: Lumin. of Inorg. Solids (ed. B. DiBartolo), Plenum Press, New York, 1978, p. 67Google Scholar
  16. 16.
    Chandrasekhar, S.: Rev. Mod. Phys. 15, 1 (1943)CrossRefGoogle Scholar
  17. 17.
    Spitzer, F.: Principles of Random Walk, Van Nostrand, Princeton, 1964; Rosenstock, H. B.: SIAM J. Appl. Math. 9, 169 (1961); Rudemo, R.: SIAM J. Appl. Math. 14, 1293 (1966); Montroll, E.W., Weiss, G.H.: J. Math. Phys. 2, 167 (1965)Google Scholar
  18. 18.
    Maradudin, A. A., et al.: Acad. Roy. Belg. Classe Sci. Mom. Collection in 4° 14, no. 7 (1960)Google Scholar
  19. 19.
    Soos, Z. G., Powell, R. C.: Phys. Rev. B 6, 4035 (1972)Google Scholar
  20. 20.
    Chow, H. C., Powell, R. C.: Phys. Rev. B 21, 3785 (1980)Google Scholar
  21. 21.
    Yokota, M., Tanimoto, O.: J. Phys. Soc. Japan 22, 779 (1967)CrossRefGoogle Scholar
  22. 22.
    Burshtein, A. I.: Sov. Phys. JETP 35, 882 (1972)Google Scholar
  23. 23.
    Watts, R. K.: in Optical Properties of Ions in Solids (ed. B. DiBartolo) Plenum Press, New York, 1975, p. 307Google Scholar
  24. 24.
    Simpson, W. T., Peterson, D. L.: J. Chem. Phys. 26, 588 (1957)CrossRefGoogle Scholar
  25. 25.
    Robinson, G. W., Frosch, R. P.: J. Chem. Phys. 38, 1187 (1963)CrossRefGoogle Scholar
  26. 26.
    Agranovich, V. M., Konobeev, Yu. V.: Opt. i Spektroskopiya 6, 241 (1959) [Opt. Spectry. (USSR) 6,155 (1959)]Google Scholar
  27. 27.
    Agranovich, V. M., Konobeev, Yu. V.: Fiz. Tverd. Tela 5, 1373 (1963) [Sov. Phys. Solid State 5, 999 (1963)]Google Scholar
  28. 28.
    Davydov, A. S.: Phys. Stat. Sol. 20, 143 (1967)Google Scholar
  29. 29.
    Grant, W. J. C.: Phys. Rev. B 4, 648 (1971)Google Scholar
  30. 30.
    Fong, F. K., Diestler, D. J.: J. Chem. Phys. 56, 2875 (1972)CrossRefGoogle Scholar
  31. 31.
    Bieg, K. W., Drickamer, H. G.: J. Chem. Phys. 66, 1437 (1977)CrossRefGoogle Scholar
  32. 32.
    Hsu, C., Powell, R. C.: J. Phys. C, Solid State Phys. 9, 2467 (1976)CrossRefGoogle Scholar
  33. 33.
    Knox, R. S.: Physica (Utrecht) 39, 361 (1968)CrossRefGoogle Scholar
  34. 34.
    Flaherty, J. M., Powell, R. C.: Phys. Rev. B 19, 32 (1979)Google Scholar
  35. 35.
    Broser, I., Broser-Warminsky, R.: Phys. Chem. Solids 8, 117 (1959)CrossRefGoogle Scholar
  36. 36.
    Simpson, O.: Proc. Roy. Soc. A 238, 402 (1956)Google Scholar
  37. 37.
    Stryer, L., Haugland, R. P.: Proc. Nat. Acad. Sci. U.S. 58, 719 (1967)CrossRefGoogle Scholar
  38. 38.
    Chance, R. R., et al.: J. Chem. Phys. 63, 1589 (1975)CrossRefGoogle Scholar
  39. 39.
    Ern, V., Avakian, P., Merrifield, R. E.: Phys. Rev. 148, 862 (1966); Ern, V.: Phys. Rev. Letters 22, 343 (1969)CrossRefGoogle Scholar
  40. 40.
    Salcedo, J. R., et al.: Phys. Rev. Letters 41, 131 (1978)CrossRefGoogle Scholar
  41. 41.
    Eichler, H. J., Hortig, Ch., Knof, J.: Phys. Stat. Sol. (a) 45, 433 (1978), Eichler, H. J., et al.: Phys. Stat. Sol. (a) 52, 481 (1979)Google Scholar
  42. 42.
    Liao, P. F., Bloom, D. M.: Optics Letters 3, 4 (1978)Google Scholar
  43. 43.
    Hamilton, D. S., et al.: Optics Letters 4, 124 (1979)Google Scholar
  44. 44.
    Liao, P. F., et al.: Phys. Rev. B 20, 4145 (1979)CrossRefGoogle Scholar
  45. 45.
    Blasse, G., Bril, A.: Philips Techn. Rev. 31, 304 (1970)Google Scholar
  46. 46.
    Sommerdijk, J. L., van der Does de Bye, J. A. W., Verberne, P. H. J. M.: J. Lumin. 14, 91 (1976)Google Scholar
  47. 47.
    Botden, Th. P. J.: Philips Res. Repts. 7, 197 (1952)Google Scholar
  48. 48.
    Chinn, S. R., Hong, H. Y-P., Pierce, J. W.: Laser Focus 12, 64 (1976)Google Scholar
  49. 49.
    See eg. Imbusch, G. F., in: Lumin. Spectroscopy (ed. M. Lumb), Academic Press, London, 1978Google Scholar
  50. 50.
    Fonger, W. H., Struck, C. W.: J. Lumin. 17, 241 (1978)CrossRefGoogle Scholar
  51. 51.
    Groenink, J. A., Blasse, G.: J. Solid State Chem. 32, 9 (1980)CrossRefGoogle Scholar
  52. 52.
    Blasse, G., in: Radiationless Processes in Molecules and Crystals, (ed. B. DiBartolo), Plenum Press, New York, 1980Google Scholar
  53. 53.
    Kotera, Y. Y., Yonemura, M., Sekine, T.: J. Electrochem. Soc. 108, 549 (1961); Blasse, G.: Philips Res. 23, 344 (1968)Google Scholar
  54. 54.
    Kröger, F. A.: Some Aspects of the Luminescence of Solids, Elsevier, Amsterdam, 1948Google Scholar
  55. 55.
    Grasser, R.: private communicationGoogle Scholar
  56. 56.
    Blasse, G., in: Lumin. of Inorg. Compounds (ed. B. DiBartolo) Plenum Press, New York, 1978Google Scholar
  57. 57.
    Treadaway, M. J., Powell, R. C.: Phys. Rev. B 11, 862 (1975)CrossRefGoogle Scholar
  58. 58.
    Peterson, R. G., Powell, R. C.: J. Lumin. 16, 285 (1978)CrossRefGoogle Scholar
  59. 59.
    van Oosterhout, A. B.: Phys. Stat. Sol. (a) 41, 607 (1977)Google Scholar
  60. 60.
    de Hair, J. Th. W., Blasse, G.: J. Solid State Chem. 19, 263 (1973); J. Lumin. 14, 307 (1976)CrossRefGoogle Scholar
  61. 61.
    van der Steen, A. C., de Hair, J. Th. W., Blasse, G.: J. Lumin. 11, 265 (1975/6)CrossRefGoogle Scholar
  62. 62.
    Macke, A. J. H.: Phys. Stat. Sol. (a) 39, 117 (1977) and unpublished resultsGoogle Scholar
  63. 63.
    Levine, A. K., Palilla, F. C.: Electrochem. Techn., 4, 16 (1966)Google Scholar
  64. 64.
    Wanmaker, W. L., ter Vrugt, J. W.: Lighting Res. and Techn. 3, 147 (1971)CrossRefGoogle Scholar
  65. 65.
    Draai, W. T., Blasse, G.: Phys. Stat. Sol. (a) 21, 569 (1974)Google Scholar
  66. 66.
    Ref. 65 cites 10−6 s, but this is erroneous and should be 10−3 s.Google Scholar
  67. 67.
    Hsu, C., Powell, R. C.: J. Lumin. 10, 273 (1975); Venikouas, G. E., Powell, R. C.: J. Lumin. 16, 29 (1978)CrossRefGoogle Scholar
  68. 68.
    Sardar, D., Powell, R. C.: J. Appl. Phys., 51, 2829 (1980)CrossRefGoogle Scholar
  69. 69.
    Venikouas, G. E., Powell, R. C.: Phys. Rev. B, 17, 3456 (1978)Google Scholar
  70. 70.
    Krol, D. M., Blasse, G., Powell, R. C.: J. Chem. Phys., 73, 163 (1980)CrossRefGoogle Scholar
  71. 71.
    Blasse, G.: J. Chem. Phys. 48, 3108 (1968)CrossRefGoogle Scholar
  72. 72.
    Wanmaker, W. L., et al.: Philips Res. Repts. 21, 270 (1966)Google Scholar
  73. 73.
    Blasse, G., Bril, A.: J. Lumin. 3, 109 (1970)CrossRefGoogle Scholar
  74. 74.
    Blasse, G.: Chapter 34 in: Handbook on the Physics and Chemistry of Rare Earths, Vol. 4 (eds. K. A. Gschneider, Jr., Le Roy Eyring), North-Holland, Amsterdam, 1979Google Scholar
  75. 75.
    Kröger, F. A., Bakker, J.: Physica 8, 628 (1941)CrossRefGoogle Scholar
  76. 76.
    Bril, A., et al.: Philips Techn. Rev. 32, 125 (1971)Google Scholar
  77. 77.
    Blasse, G., Bril, A.: J. Chem. Phys. 51, 3252 (1969)CrossRefGoogle Scholar
  78. 78.
    Bourcet, J. C., Fong, F. K.: J. Chem. Phys. 60, 34 (1974)CrossRefGoogle Scholar
  79. 79.
    Blasse, G.: Philips Res. Repts. 24, 131 (1969)Google Scholar
  80. 80.
    Blanzat, B., et al.: Mat. Res. Bull. 12, 455 (1977)CrossRefGoogle Scholar
  81. 81.
    Blanzat, B., Denis, J.P., Reisfeld, R.: Chem. Phys. Lett. 51, 403 (1977)Google Scholar
  82. 82.
    Asawa, C. K.: Phys. Rev. 155, 188 (1967)CrossRefGoogle Scholar
  83. 83.
    O'Connor, J. R., Hargreaves, W. A.: Appl. Phys. Lett. 4, 208 (1964)CrossRefGoogle Scholar
  84. 84.
    Feofilov, P. O.: Opt. Spectry. 6, 150 (1959)Google Scholar
  85. 85.
    Dmitruk, M. V., Kaminskii, A. A., Shcherbakov, I. A.: Soviet Phys. JETP 27, 900 (1968)Google Scholar
  86. 86.
    Bonne, R. W., Schoonman, J.: J. Electrochem. Soc. 124, 28 (1977)Google Scholar
  87. 87.
    Réau, J. M., Portier, J., Chapter 19 in: Solid Electrolytes (eds. P. Hagenmuller, W. van Gool), Academic Press, New York, (1978)Google Scholar
  88. 88.
    Pelle, F., et al.: J. Lumin. 17, 61 (1978)CrossRefGoogle Scholar
  89. 89.
    van der Steen, A. C., Dirksen, G. J.: Chem. Phys. Lett. 59, 110 (1978); van der Steen, A. C.: Phys. Stat. Sol. (b), 100 (2), 1980, in press.CrossRefGoogle Scholar
  90. 90.
    Belikovich, B. A., Pashchuk, I. P., Pidzyrailo, N. S.: Opt. Spectroscopy, 42, 62 (1977)Google Scholar
  91. 91.
    Heidrich, K., Künsel, H., Treusch, J.: Solid State Comm. 25, 887 (1978)CrossRefGoogle Scholar
  92. 92.
    Eijkelenkamp, A. J. H.: J. Lumin. 15, 217 (1977)Google Scholar
  93. 93.
    Blasse, G.: Chem. Phys. Lett. 35, 299 (1975)CrossRefGoogle Scholar
  94. 94.
    Boulon, G., et al.: J. Physique 36, 267 (1975)Google Scholar
  95. 95.
    Ronde, H., Blasse, G.: J. Inorg. Nucl. Chem. 40, 215 (1978)CrossRefGoogle Scholar
  96. 96.
    Moncorgé, R., Jacquier, B., Boulon, G.: J. Lumin. 14, 337 (1976)Google Scholar
  97. 97.
    Moncorgé, R., Boulon, G., Denis, J. P.: J. Phys. C: Solid State Phys. 12, 1165 (1979)CrossRefGoogle Scholar
  98. 98.
    Blasse, G., van der Steen, A.C.: Solid State Comm. 31, 993 (1979)Google Scholar
  99. 99.
    Blasse, G., O Been Ho: J. Lumin. 21, 165 (1980)CrossRefGoogle Scholar
  100. 100.
    Lauer, R. B.: Appl. Phys. Lett. 17, 178 (1970)CrossRefGoogle Scholar
  101. 101.
    Hegarty, J., Imbusch, G. F.: Coll. Int. CNRS, no. 255, Spectroscopie des éléments de transition et des éléments lourds, Lyon, CNRS, Paris, 199, (1977)Google Scholar
  102. 102.
    Wilson, B. A., et al.: Phys. Rev. B, 19, 4238 (1979); Wilson, B. A., Hegarty, J., Yen, W. M.: Phys. Rev. Lett. 41, 268 (1978)CrossRefGoogle Scholar
  103. 103.
    Macfarlane, R. M., Luntz, A. C.: Phys. Rev. Lett. 31, 832 (1973)CrossRefGoogle Scholar
  104. 104.
    Iverson, M. V., Sibley, W. A.: Phys. Rev. B 21, 2522 (1980)CrossRefGoogle Scholar
  105. 105.
    Goldberg, V., et al.: J. Lumin. 18/19, 143 (1973)CrossRefGoogle Scholar
  106. 106.
    Hirano, M., Shionoya, S.: J. Phys. Soc. Japan 28, 926 (1970)CrossRefGoogle Scholar
  107. 107.
    Gooen, K., et al.: Phys. Rev. 177, 615 (1969)Google Scholar
  108. 108.
    Matyushkin, E. V., Kukushkin, L. S., Eremenko, V. V.: Phys. Stat. Sol. 22, 65 (1967)Google Scholar
  109. 109.
    Yamamoto, H., et al.: Chem. Phys. 22, 79 (1977)CrossRefGoogle Scholar
  110. 110.
    Imbusch, G.F., in: Lumin of Inorg. Solids (ed. B. DiBartolo), Plenum Press, New York, p. 155Google Scholar
  111. 111.
    Flint, C. D., Palacio, D. J. D.: J. Chem. Soc. Faraday Trans. II, 76, 82 (1980)CrossRefGoogle Scholar
  112. 112.
    Kirk, A. D., Ludi, A., Schläfer, H. L.: Ber. Bunsenges, 73, 669 (1969)Google Scholar
  113. 113.
    Hipps, K. W., Crosby, G. A.: Inorg. Chem. 13, 1543 (1974)CrossRefGoogle Scholar
  114. 114.
    Wölpl, A., Oelkrug, D.: Ber. Bunsenges, 79, 394 (1975)Google Scholar
  115. 115.
    Oelkrug, D., Radjaipour, M., Eitel, E.: Spectrochim. Acta 35A, 167 (1979)Google Scholar
  116. 116.
    Miskowski, V. M., et al.: Inorg. Chem. 18, 141 (1979)CrossRefGoogle Scholar
  117. 117.
    Black, A. M., Flint, C. D.: J. Chem. Soc. Faraday Trans. II, 73, 877 (1977)CrossRefGoogle Scholar
  118. 118.
    Wernicke, R., Schmidtke, H. H.: Mol. Phys. 37, 607 (1979)CrossRefGoogle Scholar
  119. 119.
    Krol, D. M., Blasse, G.: J. Chem. Phys. 69, 3124 (1978)CrossRefGoogle Scholar
  120. 120.
    de Jong, K. P., Krol, D. M., Blasse, G.: J. Lumin. 20, 241, (1979)CrossRefGoogle Scholar
  121. 121.
    Krol, D. M., Ros, J., Roos, A.: to be published; Krol, D. M., Thesis, Utrecht, 1980Google Scholar
  122. 122.
    Wong, D. P., Wong, A. Y. C., Wong, W. Y.: J. Chem. Phys. 56, 2838 (1972)CrossRefGoogle Scholar
  123. 123.
    Krol, D. M.: Chem. Phys. Letters, in press; see also Ref. 121.Google Scholar
  124. 124.
    Reisfeld, R.: Structure and Bonding, 30, 65 (1976)Google Scholar
  125. 125.
    Wright, J. C., in: Topics in Applied Physics, Vol. 15 (ed. F. K. Fong), Springer-Verlag, Berlin, 1976, p. 239Google Scholar
  126. 126.
    Riseberg, L. A., Weber, M. J., in: Progress in Optics, Vol. 14 (ed. E. Wolf) North Holland, Amsterdam 1977, p. 89Google Scholar
  127. 127.
    Reisfeld, R., Jørgensen, C. K.: Lasers and Excited States of Rare Earths, Springer-Verlag, Berlin, 1977Google Scholar
  128. 128.
    Kushida, T.: J. Phys. Soc. Japan 34, 1318 (1973); ibid 1327; ibid 1334CrossRefGoogle Scholar
  129. 129.
    Asawa, C. K., Robinson, M.: Phys. Rev. 141, 251 (1966)CrossRefGoogle Scholar
  130. 130.
    Voron'ko, Yu. K., et al.: Sov. Phys. JETP 44, 251 (1976)Google Scholar
  131. 131.
    Partlow, W. D.: Phys. Rev. Lett. 21, 90 (1968)CrossRefGoogle Scholar
  132. 132.
    Gangrud, W. B., Moos, H. W.: J. Chem. Phys. 49, 2170 (1968)CrossRefGoogle Scholar
  133. 133.
    Hamilton, D. S., Selzer, P. M., Yen, W. M.: Phys. Rev. B 16, 1858 (1977)CrossRefGoogle Scholar
  134. 134.
    Ostermayer, Jr., F. W., et al.: Phys. Rev. B 3, 2698 (1971)CrossRefGoogle Scholar
  135. 135.
    Danielmayer, H. G., in: Festkörperprobleme, Adv. Solid State Phys. Vol. 15 (ed. H. J. Queisser) Pergamon/Vieweg, Braunschweig, 1975, p. 253Google Scholar
  136. 136.
    Weber, H. P.: Opt. and Quant. Elect. 7, 431 (1975)CrossRefGoogle Scholar
  137. 137.
    Tofield, B. C., et al.: J. Solid State Chem. 12, 207 (1975)CrossRefGoogle Scholar
  138. 138.
    Singh, S., et al.: J. Appl. Phys. 46, 1191 (1975)CrossRefGoogle Scholar
  139. 139.
    Danielmayer, H. G.: J. Lumin. 12/13, 179 (1976)CrossRefGoogle Scholar
  140. 140.
    Auzel, F.: IEEE J. Quantum Elect. 12, 258 (1976)CrossRefGoogle Scholar
  141. 141.
    Alatte, M., Danielmeyer, H. G., Ulrich, R.: Appl. Phys. 1, 275 (1973)CrossRefGoogle Scholar
  142. 142.
    Lempicki, A.: Opt. Comm. 23, 376 (1977)CrossRefGoogle Scholar
  143. 143.
    Flaherty, J. M., Powell, R. C.: Solid State Comm. 26, 503 (1978); Flaherty, J. M., Powell, R. C.: Phys. Rev. B 19, 32 (1979); Powell, R. C., et al.: J. Phys. Chem. Solids 41, 345 (1980)CrossRefGoogle Scholar
  144. 144.
    Strek, W., aet al.: Phys. Stat. Sol. (A) 41, 547 (1977)Google Scholar
  145. 145.
    Chow, H. C., Powell, R. C.: Bull. American Phys. Soc. 25, 414 (1980)Google Scholar
  146. 146.
    Huber, G., et al.: IEEE J. Quant. Electron. QE-10, 766 (1974)CrossRefGoogle Scholar
  147. 147.
    Weber, H. P., Liao, P. F.: J. Opt. Soc. America 64, 1337 (1974); Liao, P. F., Weber, H. P., Tofield, B. C.: Solid State Comm. 16, 881 (1975)Google Scholar
  148. 148.
    Dornauf, H., Heber, J.: J. Lumin. 20, 271 (1979)CrossRefGoogle Scholar
  149. 149.
    Bilak, V. I., et al.: Sov. Phys. Dokl. 23, 299 (1978)Google Scholar
  150. 150.
    Hong, H. Y-P., Dwight, K.: Mat. Res. Bull. 9, 1661 (1974)CrossRefGoogle Scholar
  151. 151.
    Hattendorff, H-D., Huber, G., Danielmeyer, H. G.: J. Phys. C: Solid State Phys. 11, 2399 (1978)CrossRefGoogle Scholar
  152. 152.
    Kaminskii, A. A., et al.: Phys. Stat. Sol. (a) 43, 71 (1977)Google Scholar
  153. 153.
    Tofield, B. C., Weber, H.P.: Phys. Rev. B 10, 4560 (1974)CrossRefGoogle Scholar
  154. 154.
    Budin, J-P., Michel, J-C., Auzel, F.: J. Appl. Phys. 50, 641 (1979)CrossRefGoogle Scholar
  155. 155.
    van der Ziel, J. P., Kopf, L., Van Uitert, L. G.: Phys. Rev. B 6, 615 (1972)CrossRefGoogle Scholar
  156. 156.
    Chen, H-T., Meltzer, R. S.: Phys. Rev. Lett. 44, 599 (1980)CrossRefGoogle Scholar
  157. 157.
    Hoskins, R. H., Soffer, B. H.: IEEE J. Quant. Electron. 2, 253 (1966)CrossRefGoogle Scholar
  158. 158.
    de Hair, J. Th. W.: J. Lumin. 18/19 797 (1979); de Hair, J. Th. W., Konijnendijk, W. L.: J. Electrochem. Soc., 127, 161 (1980)CrossRefGoogle Scholar
  159. 159.
    Weber, M. J.: Phys. Rev. B 4, 2932 (1971); Weber, M. J., Sharp, E. J., Miller, J. E.: J. Phys. Chem. Solids 32, 2275 (1971)CrossRefGoogle Scholar
  160. 160.
    Yersin, H.: J. Chem. Phys. 68, 4707 (1978)CrossRefGoogle Scholar
  161. 161.
    Danielmeyer, H. G.: presented at the 2nd Intern. Laser Conf. (1979); see also Jarchow, O., Lutz, F., Klaska, K. H.: Z. Krist. 149, 162 (1979)Google Scholar
  162. 162.
    Apker, L., Taft, E.: Phys. Rev. 79, 964 (1950)CrossRefGoogle Scholar
  163. 163.
    Hattori, A., Tomura, M., Nishimura, H.: J. Phys. Soc. Japan 31, 611 (1971); Hattori, A., et al.: J. Phys. Soc. Japan 41, 194 (1976)CrossRefGoogle Scholar
  164. 164.
    Nishimura, H., Tomura, M.: J. Phys. Soc. Japan 39, 390 (1975); Nishimura, H., Kubota, T., Tomura, M.: J. Phys. Soc. Japan 42, 175 (1977)CrossRefGoogle Scholar
  165. 165.
    Itoh, M., Nakai, Y.: Solid State Comm. 15, 1847 (1974)CrossRefGoogle Scholar
  166. 166.
    Vasil'chenko, E., Lushchik, N., Lushchik, Ch.: J. Lumin. 5, 117 (1972)CrossRefGoogle Scholar
  167. 167.
    Rodnyi, P. A.: Opt. Spectrosc. 41, 479 (1976)Google Scholar
  168. 168.
    Bleil, C. E., Broser, I.: J. Phys. Chem. Solids 25, 11 (1964); Proceeding of the 7th Intern. Conf. on the Physics of Semiconductors, Paris, 1964, p. 57CrossRefGoogle Scholar
  169. 169.
    Gross, E., Permogorov, S. A., Razbirin, B. S.: Soviet Physics Solid State 8, 1180 (1966); J. Phys. Chem. Solids 27, 1647 (1966)Google Scholar
  170. 170.
    Henry, C. H., Nassau, K.: Phys. Rev. B 1, 1628 (1970)CrossRefGoogle Scholar
  171. 171.
    Magde, D., Mahr, H.: Phys. Rev. B 2, 4098 (1970)CrossRefGoogle Scholar
  172. 172.
    Wiesner, P. J., Street, R. A., Wolf, H. D.: Phys. Rev. Lett. 35, 1366 (1975)CrossRefGoogle Scholar
  173. 173.
    Cuthbert, J. D.: Phys. Rev. B1, 1552 (1970)Google Scholar
  174. 174.
    Ophir, Z., et al.: J. Chem. Phys. 63, 1072 (1975); Ophir, Z., et al.: J. Chem. Phys. 62, 650 (1975)CrossRefGoogle Scholar
  175. 175.
    Pudewill, D., et al.: J. Chem. Phys. 65, 5226 (1977)CrossRefGoogle Scholar
  176. 176.
    Schwentner, N., Koch, E. E.: Phys. Rev. B 14, 4687 (1976)CrossRefGoogle Scholar
  177. 177.
    Dlott, D. D., Fayer, M. D., Wieting, R. D.: J. Chem. Phys. 67, 3808 (1977); Dlott, D. D., Fayer, M. D., Wieting, R. D.: J. Chem. Phys. 69, 2752 (1978); Wieting, R. D., Fayer, M. D., Dlott, D. D.: J. Chem. Phys. 69, 1996 (1978)CrossRefGoogle Scholar
  178. 178.
    Shelby, R. M., Zewail, A. H., Harris, C. B.: J. Chem. Phys. 64, 3192 (1976); Smith, D. D., Powell, R. C., Zewail, A. H.: Chem. Phys. Lett. 68, 309 (1979)CrossRefGoogle Scholar
  179. 179.
    McPherson, G. L., Francis, A. H.: Phys. Rev. Lett. 41, 1681 (1978); McPherson, G. L., et al.: Chem. Phys. Lett. 68, 9 (1979)CrossRefGoogle Scholar
  180. 180.
    Anderson, P. W.: Phys. Rev. 109, 1492 (1958)CrossRefGoogle Scholar
  181. 181.
    Klafter, J., Jortner, J.: Chem. Phys. Lett. 49, 410 (1977)CrossRefGoogle Scholar
  182. 182.
    Moncorgé, R., Boulon, G., Jacquier, B.: C.R. Ac. Sci. Paris, 282B, 239 (1976)Google Scholar

Copyright information

© Springer-Verlag 1980

Authors and Affiliations

  • Richard C. Powell
    • 1
  • George Blasse
    • 2
  1. 1.Department of PhysicsOklahoma State UniversityStillwaterUSA
  2. 2.Physical LaboratoryState UniversityTA UtrechtThe Netherlands

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