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The first and second nearest neighbour Cr3+ pairs in ruby

I. Group Theoretical Treatment

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Zeitschrift für Physik B Condensed Matter

Abstract

The irreducible representations of the states of the first and second nearest neighbour Cr3+ pairs in ruby were deduced from the known states of the single ions by the group theoretical method of induction. The summetry selection rules and polarizations for electric dipole radiation are discussed.

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References

  1. Mollenauer, L.F., Schawlow, A.L.: Phys. Rev.168, 309 (1968)

    Google Scholar 

  2. Kaplyanskii, A.A., Przhevuskii, A.K.: Sov. Phys.-Sol. State9, 190 (1967)

    Google Scholar 

  3. Heber, J., Platz, W., Leutloff, S.: phys. stat. sol. (b)55, 161 (1973)

    Google Scholar 

  4. Kisliuk, P., Chang, N.C., Scott, P.L., Pryce, M.H.L.: Phys. Rev.184, 367 (1969)

    Google Scholar 

  5. Van der Ziel, J.P.: Phys. Rev. B9, 2846 (1974)

    Google Scholar 

  6. Naito, M.: Journ. Phys. Soc. Japan34, 1491 (1973)

    Google Scholar 

  7. Schulz, K.: Z. Physik163, 293 (1961)

    Google Scholar 

  8. Schläfer, H.L., Gliemann, G.: Einführung in die Ligandenfeld-theorie, p. 100. Frankfurt/Main: Akademische Verlagsgesellschaft 1967

    Google Scholar 

  9. Van der Ziel, J.P.: Phys. Rev. B4, 2888 (1971)

    Google Scholar 

  10. Van Gorkom, G.G.P., Henning, J.C.M., van Stapele, R.P.: Phys. Rev. B8, 955 (1973)

    Google Scholar 

  11. Koster, G.F., Dimmock, J.O., Wheeler, R.G., Statz, H.: Properties of the 32 Point Groups, Cambridge, Mass.: MIT Press 1963

    Google Scholar 

  12. Fateley, W.G., Dollish, F.R., McDevitt, N.T., Bentley, F.F.: Infrared and Raman Selection Rules ⋯. New York-London-Sydney-Toronto: Wiley-Interscience 1972

    Google Scholar 

  13. Hamermesh, M.: Group Theory. London: Addision-Wesley Publ. Comp. Reading (Mass.). London-Paris: Pergamon Press 1962

    Google Scholar 

  14. Tinkham, M.: Group Theory and Quantum Mechanics. pp. 139–140. New York-San Francisco-Toronto-London: McGraw-Hill Book Company 1964

    Google Scholar 

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Authors and Affiliations

  1. Institut für Technische Physik, Technischen Hochschule Darmstadt, Hochschulstraße, D-6100, Darmstadt, Germany

    J. Heber

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  1. J. Heber
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Supported by the “Deutsche Forschungsgemeinschaft” within the “Sonderforschungsbereich 65 Frankfurt-Darmstadt”.

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Heber, J. The first and second nearest neighbour Cr3+ pairs in ruby. Z Physik B 23, 127–134 (1976). https://doi.org/10.1007/BF01352705

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  • DOI: https://doi.org/10.1007/BF01352705

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