Abstract
Models describing one- and two-photon transitions for ions in crystalline environments are unified and extended to the case of parity-allowed and parity-forbiddenp-photon transitions. The number of independent parameters for characterizing the polarization dependence is shown to depend on an ensemble of properties and rules which combine symmetry considerations and physical models.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Sugano, S.,Progr. Theoret. Phys. Suppl. 14, 66 (1960).
Griffith, J. S.,Molecular Phys. 3, 477 (1960).
Judd, B. R.,Phys. Rev. 127, 750 (1962).
Ofelt, G. S.,J. Chem. Phys. 37, 511 (1962).
Axe, J. D. Jr.,Phys. Rev. 136, A42 (1964).
Flato, M.,J. Molecular Spectrosc. 17, 300 (1965).
Low, W. and Rosengarten, G.,J. Molecular Spectrosc. 12, 319 (1964).
Kibler, M.,J. Molecular Spectrosc. 26, 111 (1968);Internat. J. Quantum Chem. 3, 795 (1969).
Kibler, M. and Grenet, G.,Internat. J. Quantum Chem. 29, 11 (1986);29, 485 (1986).
Kibler, M.,CR Acad. Sci Paris B268, 1221 (1969).
Griffith, J. S.,The Irreducible Tensor Method for Molecular Symmetry Groups, Prentice-Hall, Englewood Cliffs, New Jersey, 1962.
Tang Au-chinet al., Theoretical Method of the Ligand Field Theory, Science Press, Beijing, 1979.
Apanasevich, P. A., Gintoft, R. I., Korolkov, V. S., Makhanek, A. G., and Skripko, G. A.,Phys. Status Solidi (b) 58, 745 (1973); Makhanek, A. G., Korolkov, V. S., and Yuguryan, L. A.,Phys. Status Solidi (b) 149, 231 (1988).
Judd, B. R. and Pooler, D. R.,J. Phys. C 15, 591 (1982).
Downer, M. C. and Bivas, A.,Phys. Rev. B 28, 3677 (1983).
Gayen, S. K., Hamilton, D. S., and Bartram, R. H.,Phys. Rev. B 34, 7517 (1986).
Reid, M. F. and Richardson, F. S.,Phys. Rev. B 29, 2830 (1984).
Sztucki, J. and Strek, W.,Phys. Rev. B 34, 3120 (1986).
Leavitt, R. C.,Phys. Rev. B 35, 9271 (1987).
Smentek-Mielczarek, L. and Hess, B. A. Jr.,Phys. Rev. B 36, 1811 (1987).
Kibler, M. and Gâcon, J.-C.,Croat. Chem. Acta 62, 783 (1989).
Sztucki, J. and Strek, W.,Chem. Phys. 143, 347 (1990).
Kibler, M. R., in W. Florek, T. Lulek and M. Mucha (eds),Symmetry and Structural Properties of Condensed Matter, World Scientific, Singapore, 1991, p. 237.
Daoud, M. and Kibler, M.,J. Alloys and Compounds 193, 219 (1993).
Inoue, M. and Toyozawa, Y.,J. Phys. Soc. Japan 20, 363 (1965).
Bader, T. R. and Gold, A.,Phys. Rev. 171, 997 (1968).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Kibler, M., Daoud, M. Sum rules for multi-photon spectroscopy of ions in finite symmetry. Lett Math Phys 28, 269–280 (1993). https://doi.org/10.1007/BF00761495
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF00761495