Luminescence of Inorganic Solids pp 393-418 | Cite as
Energy Levels of Strongly Interacting Ion Pairs
Abstract
The basic interactions for ion pairs are reviewed and summarized. The most important coupling mechanisms for two electron — two center and for N — electron two-center systems are treated first. In particular, a detailed study of the direct exchange will be used to define and discuss the general form of the exchange hamiltonian and to define the conventional exchange constants. Since in most cases the pair interactions can hardly be evaluated from first principles, the symmetry of the interaction hamiltonians will be discussed in order to define spin hamiltonians and effective spin hamiltonians which are of common use in describing pair spectra in the fundamental as well as in the excited states of rare earth pairs. Finally, the results obtained for several rare earth pairs and iron group ion pairs are reviewed.
Keywords
Isotropic Exchange Exchange Constant Direct Exchange Tensor Operator Effective SpinPreview
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References
- 1.W. Heisenberg, Z. Physik 38, 411 (1926).ADSCrossRefGoogle Scholar
- 2.P.A.M. Dirac, Proc. Roy. Soc. London A 123, 714(1929).ADSMATHCrossRefGoogle Scholar
- 3.J. H. Van Vleck, The Theory of Electric and Magnetic Susceptibilities, The Clarendon Press, Oxford, 1932;MATHGoogle Scholar
- 3a.J. H. Van Vleck, Revista de Matematica y Fisica Teorica 14, 189 (1962).Google Scholar
- 4.J. M. Baker and D. Marsh, Proc. Roy. Soc. London, A 323, 341 (1971).ADSCrossRefGoogle Scholar
- 5.L. Rimai, H. Statz, M.J. Weber, G. A. de Mars and G. F. Koster, Phys. Rev. Letters 4, 125 (1960).ADSCrossRefGoogle Scholar
- 6.R. Parrot and G. Roger, Comptes Rendus, 266 (1968).Google Scholar
- 7.G.A. Prinz, Phys. Rev. 152, 474(1966).ADSCrossRefGoogle Scholar
- 8.F. Varsanyi and G. H. Dieke, Phys. Rev. Letters 7, 442 (1961).ADSCrossRefGoogle Scholar
- 9.P. Kisliuk, N. C. Chang, P. L. Scott and M. H. L. Pryce, Phys. Rev. 184, 367 (1969).ADSCrossRefGoogle Scholar
- 10.R. C. Powell, B. Di Bartolo, B. Birang and C. S. Naiman, in Optical Properties of Ions in Crystals (H. M. Crosswhite and H. W. Moos, eds.), Wiley, New York, 1967.Google Scholar
- 11.B. C. Carlson and G. S. Rushbrooke, Proc. Cambridge Phil. Soc. 46, 626(1950).MathSciNetADSMATHCrossRefGoogle Scholar
- 12.M. Rotenberg, R. Bivins, N. Metropolis and J. K. Wooten, The 3j and 6j Symbols, MIT Press, Cambridge, Mass., 1959.Google Scholar
- 13.W. P. Wolf and R. J. Birgeneau, Phys. Rev. 166, 376(1968).ADSCrossRefGoogle Scholar
- 14.P.M. Levy, Phys. Rev. 177, 509(1969).ADSCrossRefGoogle Scholar
- 15.H. J. Silverstone, J. Chem. Phys. 47, 537 (1967).ADSCrossRefGoogle Scholar
- 16.U. Fano and G. Racah, Irreducible Tensorial Sets, Acad. Press Inc., N. Y., 1959.Google Scholar
- 17.R. J. Elliot and M. F. Thorpe, J.Appl.Phys. 39, 802(1968).ADSCrossRefGoogle Scholar
- 18.J.M. Baker, Phys. Rev. 136, 1341 (1964).ADSCrossRefGoogle Scholar
- 19.H.A. Buckmaster, Can. J. Phys. 40, 1670(1962).ADSMATHCrossRefGoogle Scholar
- 20.K. L. Brower, H. J. Stapleton and E. O. Brower, Phys. Rev. 146, 233 (1966).ADSCrossRefGoogle Scholar
- 21.H. M. Crosswhite, H. Crosswhite, F. W. Kaseta and R. Sarup, J. Chem. Phys. 64, 1981 (1976).ADSCrossRefGoogle Scholar
- 22.C.A. Hutchinson and E.Y. Wong, J. Chem. Phys. 29, 754(1958).ADSCrossRefGoogle Scholar
- 23.J.M. Baker, J. D. Riley and R. G. Shore, Phys. Rev. 150, 198 (1966).ADSCrossRefGoogle Scholar
- 24.J. D. Riley, J. M. Baker and R. J. Birgeneau, Proc. Roy. Soc. London A 320, 369(1970);ADSGoogle Scholar
- 24a.see also: J. M. Baker, R. J. Birgeneau, M. T. Hutchings and J.D. Riley, Phys. Rev. Letters, 21, 620(1968).ADSCrossRefGoogle Scholar
- 25.J.M. Baker, Phys. Rev. 136, 1633 (1964).ADSCrossRefGoogle Scholar
- 26.J. Dweck and G. Seidel, Phys. Rev. 146, 359(1966).ADSCrossRefGoogle Scholar
- 27.R. J. Birgeneau, M. T. Hutchings, J. M. Baker and J. D. Riley, J. Appl. Phys. 40, 1070 (1969).ADSCrossRefGoogle Scholar
- 28.M. T. Hutchings, R. J. Birgeneau and W. P. Wolf, Phys. Rev. 168, 1026(1968).ADSCrossRefGoogle Scholar
- 29.R. J. Birgeneau, M. T. Hutchings and W. P. Wolf, Phys. Rev. 179, 275 (1969).ADSCrossRefGoogle Scholar
- 30.R.W. Cochrane, C. Y. Wu and W. P. Wolf, Phys. Rev. 8, 4348 (1973).ADSCrossRefGoogle Scholar
- 31.R. J. Richardson and Sook Lee, Phys. Rev. 1, 108(1970).ADSCrossRefGoogle Scholar
- 32.J. M. Baker and A. Mau, Can. J. Phys. 45, 403 (1967).ADSCrossRefGoogle Scholar
- 33.D. Smith and J. H. M. Thornley, Proc. Phys. Soc. (G. B.) 89, 779 (1966).ADSCrossRefGoogle Scholar
- 34.L. F. Mollenauer and A. L. Schawlow, Phys. Rev. 168, 309(1968).ADSCrossRefGoogle Scholar
- 35.M. H. L. Pryce, unpublished.Google Scholar
- 36.L. Rimai, H. Statz, M.J. Weber, G. A. de Mars and G.F. Koster, J. Appl. Phys., suppl. vol. 32, 218 S (1961),CrossRefGoogle Scholar
- 36a.L. Rimai, H. Statz, M.J. Weber, G. A. de Mars and G.F. Koster, J. Phys. Soc. Japan, 17, suppl. B 1, 430 (1962).Google Scholar
- 37.E. B. Royce and N. Bloembergen, Phys. Rev. 131, 1912(1963).ADSCrossRefGoogle Scholar
- 38.A. E. Nikiforov and V. I. Cherepanov, Sov. Phys. -Sol. State 7, 931 (1965)Google Scholar
- 38a.A. E. Nikiforov and V. I. Cherepanov, Sov. Phys. -Sol. State 7, 2769(1966).Google Scholar
- 39.M. J. Berggren, G. F. Imbusch and P. L. Scott, Phys. Rev. 188, 675 (1969).ADSCrossRefGoogle Scholar
- 40.G. G. P. van Gorkom, J. C. M. Henning and R. P. van Stapele, Phys. Rev. 8, 955 (1973);CrossRefGoogle Scholar
- 40a.see also: G. G. P. van Gorkom, Phys. Rev. 8, 1827 (1973).ADSCrossRefGoogle Scholar
- 41.J.P. van der Ziel, Phys. Rev. 4, 2888(1971).CrossRefGoogle Scholar
- 42.J. C. M. Henning and H. van den Boom, Phys. Rev. 8, 2255 (1973).ADSGoogle Scholar
- 43.Nai Li Huang, Phys. Rev. 1, 945 (1970).ADSCrossRefGoogle Scholar
- 44.J. W. Culvahouse and D. P. Schinke, Phys. Rev. 187, 671 (1969).ADSCrossRefGoogle Scholar
- 45.R. Röhrig, Thesis, Freiburg, unpublished.Google Scholar
- 46.W. Busse, H. E. Gumlich, B. Meissner and D. Theis, J. Lumin. 12–13, 693 (1976).CrossRefGoogle Scholar
- 47.R. W. Wilkins and J. W. Culvahouse, Phys. Rev. 14, 1830 (1976).ADSCrossRefGoogle Scholar
- 48.J. Ferguson, E. R. Krausz and H. J. Guggenheim, Mol. Physics 29, 1785 (1975).ADSCrossRefGoogle Scholar
- 49.P.W. Anderson, Phys. Rev. 115, 2(1959).MathSciNetADSMATHCrossRefGoogle Scholar
- 50.J. B. Goodenough, Phys. Rev. 100, 564(1955).ADSCrossRefGoogle Scholar
- 51.J. Kanamori, J. Phys. Chem. Solids 10, 87 (1958).CrossRefGoogle Scholar
- 52.S. Freeman, Phys. Rev. 7, 3960 (1973).ADSCrossRefGoogle Scholar
- 53.Y. Tanabe, T. Moriya and S. Sugano, Phys. Rev. Letters 15, 1023 (1965).ADSCrossRefGoogle Scholar
- 54.K.I. Gondaira and Y. Tanabe, J. Phys. Soc. Japan 21, 1527 (1966).ADSCrossRefGoogle Scholar
- 55.C. Kittel, Phys. Rev. 120, 35 (1960).MathSciNetADSCrossRefGoogle Scholar
- 56.R. K. Watts, in Optical Properties of Ions in Solids (B. Di Bartolo, ed.), Plenum Press, New York, 1975.Google Scholar
- 57.F. Auzel, private communication.Google Scholar
- 58.D.S. Mc Clure, in Optical Properties of Ions in Solids (B. Di Bartolo, ed.), Plenum Press, New York, 1975.Google Scholar