Advertisement

Electronic Energy Level Structure

  • Guokui Liu
Chapter
Part of the Springer Series in Materials Science book series (SSMATERIALS, volume 83)

Keywords

Crystal Field Reduce Matrix Element Energy Level Structure Spectral Hole Burning Energy Level Splitting 
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. Abragam, A., B. Bleaney. Electron Paramagnetic Resonance of Transition Ions (Dover Publication, Inc., New York, (1986).Google Scholar
  2. Abragam, A., B. Bleaney. Proc. R. Soc. London Ser. A 387, 221(1983).ADSCrossRefGoogle Scholar
  3. Agladze, N. I., M. N. Popova, G. N. Zhizhin, V. J. Egorov, and M. A. Petrova. Phys. Rev. Lett. 66, 477(1991).ADSCrossRefGoogle Scholar
  4. Andersson, L. O., W. G. Protor. Z. Kristallogr 127, 366(1968).CrossRefGoogle Scholar
  5. Andersson, L.O., G. Johnsson. ibid. 127, 386 (1968).Google Scholar
  6. Auzel, F., O. L. Malta. J. Phys. 44, 201(1983).Google Scholar
  7. Avanesov, A. G., V. V. Zhorin, B. Z. Malkin, V. F. Pisarenko. Sov. Phys. Solid State 34, 1552 (1992).Google Scholar
  8. Blanchfield, P., T. Hailing, A. J. Miller, G. A. Saunders, and B. Chapman. J. Phys. C 20, 3851(1983).ADSCrossRefGoogle Scholar
  9. Blok, J. K., D. A. Shirley. Phys. Rev. 143, 278(1966).ADSCrossRefGoogle Scholar
  10. Boonyarith, T., J. P. D. Martin, and N. B. Manson. Phys. Rev. B 47, 14696(1993).ADSCrossRefGoogle Scholar
  11. Bradbury, M. I., D. J. Newman. Chem. Phys. Lett. 1, 44(1967).ADSCrossRefGoogle Scholar
  12. Brewer, L. NATO ASI Series (Reidel Publishing Company, Boston, 1983), p. 17.Google Scholar
  13. Brewer, L. J. Opt. Soc. Am. 61, 1666(1971).ADSCrossRefGoogle Scholar
  14. Burdick, G. W., C. K. Jayasankar, F. S. Richardson, and M. F. Reid. Phys. Rev. B 50, 16, 309(1994).CrossRefGoogle Scholar
  15. Carnall, W. T. J. Chem. Phys. 96, 8713(1992).ADSCrossRefGoogle Scholar
  16. Carnall, W. T., G. K. Liu, C. W. Williams, and M. F. Reid. J. Chem. Phys. 95, 7194 (1991).ADSCrossRefGoogle Scholar
  17. Carnall, W. T., G. L. Goodman, K. Rajnak, and R. S. Rana. J. Chem. Phys. 90, 3443(1989).ADSCrossRefGoogle Scholar
  18. Carnall, W. T., H. M. Crosswhite. ANL-84-90 (Argonne National Laboratory, Argonne, Illinois, 1984).Google Scholar
  19. Carnall, W. T., J. V. Beitz, H. Crosswhite, K. Rajnak, and J. B. Mann. In: Systematics and the Properties of the Lanthanides, ed. S. P. Sinha (D. Reidel Publishing Com., 1983), ch. 9, pp. 389–450.Google Scholar
  20. Chang, N. C., J. B. Gruber, R. P. Leavitt, and C. A. Morrison. J. Chem. Phys. 76, 387 (1982).Google Scholar
  21. Chen, Y. C., K. P. Chiang and S. R. Hartmann. Phys. Rev. B 21: 40(1980).ADSCrossRefGoogle Scholar
  22. Christensen, H. P. Phys. Rev. B 17, 4060(1978).MathSciNetADSCrossRefGoogle Scholar
  23. Cone, R. L., R. T. Harley, and M. J. M. Leask. J. Phys. C: Solid State Phys. 17, 3101 (1984).ADSCrossRefGoogle Scholar
  24. Copland, G. M., D. J. Newman, and C. D. Taylor. J. Phys. B: Atom. Molec. Phys. 4, 1388(1971).ADSCrossRefGoogle Scholar
  25. Cowan, R. D. The Theory of Atomic Structure and Spectra (University of California Press, Berkeley, 1981).Google Scholar
  26. Crosswhite, H. M., and H. Crosswhite. J. Opt. Soc. Am. B 1, 246(1984).ADSCrossRefGoogle Scholar
  27. Crosswhite, H. M. Colloques Internationaux du Centre National de la recherche Scientifique 255, 65(1977).Google Scholar
  28. Crosswhite, H., B. R. Judd. Atomic Data 1, 329(1970).CrossRefADSGoogle Scholar
  29. Crosswhite, H., H. M. Crosswhite, and B. R. Judd. Phys. Rev. 174, 89(1968).ADSCrossRefGoogle Scholar
  30. Davidova, M. P., S. B. Zdanovitch, B. N. Kazakov, S. L. Koraleva, and A. L. Stolov. Opt. & Spectrosc. 42, 327(1977).ADSGoogle Scholar
  31. Dick, B. G., A. Overhauser. Phys. Rev. 112, 90(1958).ADSCrossRefGoogle Scholar
  32. Dieke, G. H. Spectra and Energy Levels of Rare Earth Ions in Crystals (Wiley, New York, 1968).Google Scholar
  33. Dorenbos, P. J. Lumin. 91, 91(2000a) and J. Lumin. 91, 155 (2000b).CrossRefGoogle Scholar
  34. Faucher, M., D. Garcia. Phys. Rev. B 26, 5451(1982).ADSCrossRefGoogle Scholar
  35. Freeman, A. J., R. E. Watson. Phys. Rev. 127, 2058(1962).ADSCrossRefGoogle Scholar
  36. Edmonds, A. R. Angular Momnentum in Quantum Mechanics (Princeton University Press, Princeton, N. J., 1957).Google Scholar
  37. Eremin, M. V. In: Spectroscopy of crystals, ed. A. A. Kaplyanskii (Nauka, Leningrad, 1989), p. 30.Google Scholar
  38. Edmonds, D. T. Phys. Rev. Lett., 10, 129(1963).ADSCrossRefGoogle Scholar
  39. Elliott, R. J. Proc. Phys. Soc. London Sect. B 70, 119(1957).ADSCrossRefGoogle Scholar
  40. Equall, R. W., R. L. Cone, and R. M. Macfarlane. Phys. Rev. B 52, 3963(1995).ADSCrossRefGoogle Scholar
  41. Erdos, P., and J. H. Kang. Phys. Rev. B 6, 3393(1972).ADSCrossRefGoogle Scholar
  42. Erickson, L. E. Phys. Rev. B 34, 36(1986).ADSCrossRefGoogle Scholar
  43. Erickson, L. E., K. K. Sharma. Phys. Rev. B 24, 3697(1981).ADSCrossRefGoogle Scholar
  44. Erickson, L. E. Phys. Rev. B 24, 5388(1981).ADSCrossRefGoogle Scholar
  45. Erickson, L. E. Phys. Rev. B 19, 4412(1979).ADSCrossRefGoogle Scholar
  46. Erickson, L. E. Opt. Commun. 21, 147(1977).ADSCrossRefGoogle Scholar
  47. Erickson, L. E. Phys. Rev. B 11, 77(1975).ADSCrossRefGoogle Scholar
  48. Esterowitz, L., F. J. Bartoli, R. E. Allen, D. E. Wortman, C. A. Morrison, and R. P. Leavitt. Phys. Rev. B 19, 6442(1979).ADSCrossRefGoogle Scholar
  49. Garcia, D., and M. Faucher. In: Handbook on the Physics and Chemistry of Rare Earths, Vol. 21, eds. K. A. Gschneidner, Jr. and L. Eyring (Elsevier Science, Amsterdam, 1995), p. 263.Google Scholar
  50. Genack, A. Z., R. M. Macfarlane, R. M. Shelby, and R. G. Brewer. Phys. Rev. Lett. 37, 1078(1976).ADSCrossRefGoogle Scholar
  51. Gerloch, M., and R. C. Slade. Ligand-Field Parameters (Cambridge University Press, Cambridge, 1973).Google Scholar
  52. Grischkowsky, D., S. R. Hartmann. Phys. Rev. B 2, 60(1970).ADSCrossRefGoogle Scholar
  53. Görller-Walrand, C., K. Binnemans, In: Handbook on the Physics and Chemistry of Rare Earths, eds. K. A. Gschneidner, Jr. and L. Eyring (North-Holland, Amsterdam, 1996), Vol. 23, Ch. 155, pp. 121–283.Google Scholar
  54. Görller-Warland, C., M. Behets, P. Porcher, O. K. Moune-Minn, and I. Laursen. Inorgaica Chimica Acta 109, 83(1985).CrossRefGoogle Scholar
  55. Gupta, R. P., S. K. Sen. Phys. Rev. A 7, 850(1973).ADSCrossRefGoogle Scholar
  56. Hansen, P. C., M. J. Leask, B. M. Wanklyn, Y. Sun, R. L. Cone, and M. M. Abraham. Phys. Rev. B 56, 7918(1997).ADSCrossRefGoogle Scholar
  57. Hansen, J. E., B. R. Judd, and H. Crosswhite. Atomic Data and Nuclear Data Tables 62, 1 (1996).ADSCrossRefGoogle Scholar
  58. Hartree, D. R. The Calculation of Atomic Structures (John Wiley & Sons, New York, 1957).zbMATHGoogle Scholar
  59. Hüfner, S. Optical Spectra of Transparent Rare Earth Compounds (Academic Press, New York, 1978).Google Scholar
  60. Huang, J., G. K. Liu, and R. L. Cone. Phys. Rev. B 39, 6348(1989).ADSCrossRefGoogle Scholar
  61. Jones, R. P. Thesis: Two-step excitation and direct two-photon absorption in Tb3 +: LiYF4 (Montana State University, 1990).Google Scholar
  62. Jørgensen, C. K. In: Strucure and Bonding, 22, Rare Earths (Springer, New York, 1975), p. 49.Google Scholar
  63. Jørgensen, C. K. J. Phys. (Paris) 26, 825(1965).Google Scholar
  64. Jøorgensen, C. K., R. Pappalardo, H. H. Schsmidtke. J. Chem. Phys. 39, 1422(1963).CrossRefADSGoogle Scholar
  65. Jøorgensen, C. K. Orbits in atoms and molecules (Academic Press, London, 1962).Google Scholar
  66. Judd, B. R., E. Lo. Atomic Data and Nuclear Data Tables 62, 51(1996).ADSCrossRefGoogle Scholar
  67. Judd, B. R. In: Handbook on the Physics and Chemistry of Rare Earths, eds. K. A. Gschneidner, Jr., and L. Eyring (North-Holland, Amsterdam, 1988), Ch. 74, pp. 81–195.Google Scholar
  68. Judd, B. R., H. Crosswhite. J. Opt. Soc. Amer. B. 1, 255(1984).ADSCrossRefGoogle Scholar
  69. Judd, B. R. J. Luminesc. 18/19, 604(1979).CrossRefADSGoogle Scholar
  70. Judd, B. R. Phys. Rev. Lett. 39, 242(1977a).ADSCrossRefGoogle Scholar
  71. Judd, B. R. J. Chem. Phys. 66, 3163(1977b).ADSCrossRefGoogle Scholar
  72. Judd, B. R., W. A. Runciman. Proc. R. Soc. London Ser. A 352, 91(1976).ADSCrossRefGoogle Scholar
  73. Judd, B. R., H. M. Crosswhite, and H. Crosswhite. Phys. Rev. 169, 130(1968).ADSCrossRefGoogle Scholar
  74. Judd, B. R., H. M. Crosswhite, and H. Crosswhite. Phys. Rev. 169, 130(1967).ADSCrossRefGoogle Scholar
  75. Judd, B. R. Phys. Rev. 141, 4(1966).ADSCrossRefGoogle Scholar
  76. Judd, B. R. Operator Techniques in Atomic Spectroscopy (McGraw-Hill, New York, 1963a).Google Scholar
  77. Judd, B. R. Proc. Phys. Soc. (London) 82, 874(1963b).CrossRefADSGoogle Scholar
  78. Judd, B. D., C. A. Lovejoy, and D. A. Shirley. Phys. Rev. 128, 1733(1962).ADSCrossRefGoogle Scholar
  79. Kassman, A. J. J. Chem. Phys. 53, 4118(1970).CrossRefADSGoogle Scholar
  80. Kerbs, K., R. Winkler, Naturwissenschaften 47, 490(1960).CrossRefADSGoogle Scholar
  81. Kramers, H. A. Proc. Amsterdam Acad. 33, 959(1930).zbMATHGoogle Scholar
  82. Krupa, J. C. Inorg. Chi. Acta 139, 223(1987).CrossRefGoogle Scholar
  83. Larionov, A. L., B. Z. Malkin. Sov. Phys. Optica and Spectroscopia 39, 637(1975).ADSGoogle Scholar
  84. Laursen, I., L. M. Holmes. J. Phys. C. 7, 3765(1974).ADSCrossRefGoogle Scholar
  85. Levenson, M. D. Introduction to Nonlinear Laser Spectroscopy (Academic Press, New York, 1982).Google Scholar
  86. Levin, L. I., V. I. Cherpanov. Soviet Phys.: Solid State 25, 394(1983).Google Scholar
  87. Li, C. L., M. F. Reid. Phys. Rev. B 42, 1903(1990).ADSCrossRefGoogle Scholar
  88. Liu, G. K., S. T. Li, V. V. Zhorin, C.-K. Loong, M. M. Abraham, and L. A. Boatner. J. Chem. Phys. 109, 6800(1998).ADSCrossRefGoogle Scholar
  89. Liu, G. K., R. Cao, J. V. Beitz, and J. Huang. Phys. Rev. B 54, 483(1996).ADSCrossRefGoogle Scholar
  90. Liu, G. K., R. Cao, and J. V. Beitz. J. Alloys Compounds 225, 45(1995).CrossRefGoogle Scholar
  91. Liu, G. K., W. T. Carnall, R. P. Jones, R. L. Cone, and J. Huang. J. Alloys and Comp. 207/208, 69(1994a).CrossRefGoogle Scholar
  92. Liu, G. K., W. T. Carnall, G. Jursich, and C. W. Williams. J. Chem. Phys. 101, 8277 (1994b).ADSCrossRefGoogle Scholar
  93. Liu, G. K., J. Huang, R. L. Cone, and B. Jacquier. Phys. Rev. B 38,11,061(1988).Google Scholar
  94. Liu, G. K. Ph. D. Thesis (Montana State University, 1988).Google Scholar
  95. Loh, E. Phys. Rev. 147, 332(1966).ADSCrossRefGoogle Scholar
  96. Macfarlane, R. M., and R. M. Shellby. In: Spectroscopy of Solids Containing Rare Earth Ions, eds. A. A. Kaplyanskii, and R. M. Macfarlane (North-Holland, Amsterdam, 1987).Google Scholar
  97. Macfarlane, R. M., and R, M. Shelby. Opt. Lett. 6, 96(1981a).ADSCrossRefGoogle Scholar
  98. Macfarlane, R. M., and R, M. Shelby. Opt. Commun. 39, 169(1981b).ADSCrossRefGoogle Scholar
  99. Macfarlane, R. M., R. M. Shelby, A. Z. Genack, and D. A. Weitz. Opt. Lett. 5, 462 (1980).ADSCrossRefGoogle Scholar
  100. Malkin, B. Z., A. M. Leushin, A. I. Iskhakova, J. Heber, M. Altwein, C. Moller, I. I. Fazlizhanov, and V. A. Ulanov. Phys. Rev. B 62, 7067(2000).ADSCrossRefGoogle Scholar
  101. Malkin, B. Z. In: Spectroscopy of Solids Containing Rare Earth Ions, eds. A. A. Kaplyanskii, R. M. Macfarlane (North-Holland, Amsterdam, 1987), Ch. 2, pp. 13–50.Google Scholar
  102. Malkin, B. Z., Z. I. Ivanenko, and I. B. Aizenberg. Sov. Phys.-Solid State 12, 1491 (1970).Google Scholar
  103. Martin, W. C., L. Hagan, J. Reader, and J. Sugar. J. Phys. and Chem. Ref. Data 3, 771 (1974).CrossRefGoogle Scholar
  104. Marvin, H. H. Phys. Rev. 71, 102(1947).zbMATHADSCrossRefGoogle Scholar
  105. Mitsunaga, M., E. S. Kintzer, and R. G. Brewer. Phys. Rev. B 31, 6947(1985).ADSCrossRefGoogle Scholar
  106. Morosin. B. J. Chem. Phys. 49, 3007(1968).CrossRefADSGoogle Scholar
  107. Morrison, C. A., R. P. Leavitt. In: Handbook on the Physics and Chemistry of Rare Earths, eds. K. A. Gschneidner, Jr., and L. Eyring (North-Holland, Amsterdam, 1982), pp. 461–692.Google Scholar
  108. Moune, O. K., M. D. Faucher, N. Edelstein. J. Lumin. 96, 51(2002).CrossRefGoogle Scholar
  109. Newman, D. J., B. Ng. Crystal Field Handbook (Cambridge University Press, Cambridge, 2000).CrossRefGoogle Scholar
  110. Newman, D. J., B. Ng. Rep. Prog. Phys. 52, 699(1989).ADSCrossRefGoogle Scholar
  111. Newman, D. J. Adv. Phys. 20, 197(1971).ADSCrossRefGoogle Scholar
  112. Nielson, C. W., G. F. Koster. Spectroscopic Coefficeints for the pn, dn, and fn Configurations (The MIT Press, Cambridge, 1963).Google Scholar
  113. Popova, M. N., E. P. Chukalina, B. Z. Malkin, A. I. Iskhakova, E. Antic-Fidancev, and P. Porcher. Phys. Rev. B 63,075, 103(2001).Google Scholar
  114. Racah, G. Phys. Rev. 76, 1352(1949).zbMATHADSCrossRefGoogle Scholar
  115. Rajnak, K., B. G. Wybourne. J. Chem. Phys. 41, 565(1964).CrossRefADSGoogle Scholar
  116. Rajnak, K., B. G. Wybourne. Phys. Rev. 132, 280(1963).ADSCrossRefGoogle Scholar
  117. Reid, M. F., L. van Pieterson, A. Meijerink. J. Alloys and Compounds 344, 240(2002).CrossRefGoogle Scholar
  118. Reid, M. F., L. van Pieterson, R. T. Wegh, and A. Merijerink. Phys. Rev. B 62,14, 744 (2000).Google Scholar
  119. Reid, M. F., D. J. Newman, In: Crystal Field Handbook, eds. D. J. Newman, B. Ng (Cambridge University Press, Cambridge, 2000).Google Scholar
  120. Reid, M. F. J. Chem. Phys. 87, 2875(1987).ADSCrossRefGoogle Scholar
  121. Reid, M. F., F. S. Richardson. J. Chem. Phys. 63, 95(1985).Google Scholar
  122. Reddy, B. R., L. E. Erickson. Phys. Rev B 27, 5217(1983).ADSCrossRefGoogle Scholar
  123. Reisfeld, R. and C. K. Jørgensen. Lasers and Excited States of Rare Earths (Springer-Verlag, Berlin, 1977).Google Scholar
  124. Rotenberg, M., R. Bivins, N. Metropolis, and J. K. Wooten. Jr., the 3–j and 6–j symbols (MIT Press, Cambridge, 1959).Google Scholar
  125. Rubbio, O. J. Phys. Chem. Solids, 52, 101(1991).CrossRefGoogle Scholar
  126. Schwiesow, R. L., H. M. Crosswhite. J. Opt. Soc. Am. 59, 592(1969).ADSCrossRefGoogle Scholar
  127. Seelbinder, M. B., J. C. Wright. Phys. Rev. B 20, 4308(1979).ADSCrossRefGoogle Scholar
  128. Shannon, R. D. Acta Crystallogr. Sect. A 32, 751(1976).CrossRefADSGoogle Scholar
  129. Sharma, K. K., L. E. Erickson. J. Phys. C 18, 2935(1985).ADSCrossRefGoogle Scholar
  130. Shelby R. M., R. M. Macfarlane. J. Lumin. 31/32, 839(1984).CrossRefGoogle Scholar
  131. Shelby, R. M., A. C. Tropper, R. T. Harley, and R. M. Macfarlane. Opt. Lett. 8, 304 (1983).ADSCrossRefGoogle Scholar
  132. Shelby, R. M., R. M. Macfarlane. Phys. Rev. Lett. 47, 1172(1981).ADSCrossRefGoogle Scholar
  133. Shen, Y., and K. L. Bray. Phys. Rev. B 58, 5305(1998).ADSCrossRefGoogle Scholar
  134. Silversmith, A. J., A. P. Radlinski, and N. B. Manson. Phys. Rev. B 34, 7554(1986).ADSCrossRefGoogle Scholar
  135. Slater, J. C. Quantum Theory of Atomic Structure (McGraw-Hill, New York, 1960).zbMATHGoogle Scholar
  136. Sobelman, I. I. Theory of atomic spectra (Pergamon, Oxford, 1972).Google Scholar
  137. Sternheimer, R. M., M. Blume, R. F. Peierls. Phys. Rev. 173, 376(1968).ADSCrossRefGoogle Scholar
  138. Stemheimer, R. M. Phys. Rev. 146, 140(1966).ADSCrossRefGoogle Scholar
  139. Stevens, K. W. H. Proc. Phys. Soc. (London) A 65, 209(1952).zbMATHADSCrossRefGoogle Scholar
  140. Sun, Y. Ph. D. Thesis (Montana State University), 1993).Google Scholar
  141. Sun, Y., C. W. Thiel, R. L. Come, Unpublished (2002).Google Scholar
  142. Thiel, C. W., H. Cruguel, H. Wu, Y. Sun, G. J. Lapeyre, R. L. Cone, R. W. Equqll, R. M. Macfarlane. Phys. Rev. B 64,085, 107(2001).Google Scholar
  143. Tinkham, M. Group Theory and Quantum Mechanics (McGraw-Hill, New York, 1964).zbMATHGoogle Scholar
  144. Tissue, B. M., J. C. Wright. Phys. Rev. B 36, 9781(1987).ADSCrossRefGoogle Scholar
  145. Urland, W. Chem. Phys. Lett. 77, 58(1981).ADSCrossRefGoogle Scholar
  146. van Pieterson, L., M. F. Reid, R. T. Wegh, S. Sovema, and A. Meijerink. Phys. Rev. B 65,045, 133(2002a), and 65, 045, 134(2002b).Google Scholar
  147. Yano, R., M. Mitsunaga, and N. Usugi. J. Opt. Soc. Am. B 9, 992(1992).ADSCrossRefGoogle Scholar
  148. Yano, R., M. Mitsunaga, and N. Usugi. Opt. Lett. 16, 1884(1991).ADSCrossRefGoogle Scholar
  149. Wang, Y. P., D. P. Landau, R. S. Meltzer, and R. M. Macfarlane. J. Opt. Soc. Am. B 9, 946(1992).ADSCrossRefGoogle Scholar
  150. Weissbluth, M. Atom and Molecules (Academic Press, New York, 1978).Google Scholar
  151. Wegh, R. T., A. Meijerink. Phys. Rev. B 60,10, 820(1999).Google Scholar
  152. Wells, Jon-Paul R., G. D. Jones, and R. Reeves. Phys. Rev. B 60, 851(1999).ADSCrossRefGoogle Scholar
  153. Wybourne, B. G. Spectroscopy Properties of Rare Earths (Wiley & Sons, New York, 1965).Google Scholar
  154. Zhorin, V. V., G. K. Liu. J. Alloys Compounds 275–277, 137(1998).CrossRefGoogle Scholar

Copyright information

© Tsinghua University Press and Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  • Guokui Liu

There are no affiliations available

Personalised recommendations