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Physical review. B, Condensed matter

Two-photon transition intensities for Sm2+ in BaClF

J.C. Gâcon, J.F. Marcerou, Mohamed Bouazaoui, B. Jacquier, M. Kibler

Published Aug 1, 1989• 23 citations
Publisher

Abstract

The two-photon transitions between the Stark levels of the $^{7}\mathrm{F}_{0}$ and $^{5}\mathrm{D}_{2}$ multiplets of the ${\mathrm{Sm}}^{2+}$ ion in BaClF are investigated both from an experimental and theoretical viewpoint. Direct two-photon excitation spectra of the $^{5}\mathrm{D}_{2}$ fluorescence resulting from an optical excitation with an infrared laser beam are presented and the polarization dependence of the observed transitions is analyzed. These new data are interpreted along the lines of a simple model which originates in the second-order theory developed by Axe [Phys. Rev. 136, A42 (1964)] for two-photon processes in complex atoms. The extension of this theory to the case of rare-earth ions embedded in crystalline fields is carried out by use of symmetry-adaptation techniques based on the use of an SU(2)\ensuremath{\supset}${\mathrm{G}}^{\mathrm{*}}$ chain of groups. It is shown that the resulting model (limited up to second-order terms) describes correctly the relative intensities of the two-photon transitions between the Stark levels of the $^{7}\mathrm{F}_{0}$ and $^{5}\mathrm{D}_{2}$ multiplets of ${\mathrm{Sm}}^{2+}$ in BaClF.

DOI
10.1103/physrevb.40.2070

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The two-photon transitions between the Stark levels of the 7F0^{7}\mathrm{F}_{0}7F0​ and 5D2^{5}\mathrm{D}_{2}5D2​ multiplets of the Sm2+{\mathrm{Sm}}^{2+}Sm2+ ion in BaClF are investigated both from an experimental and theoretical viewpoint. Direct two-photon excitation spectra of the 5D2^{5}\mathrm{D}_{2}5D2​ fluorescence resulting from an optical excitation with an infrared laser beam are presented and the polarization dependence of the observed transitions is analyzed. These new data are interpreted along the lines of a simple model which originates in the second-order theory developed by Axe [Phys. Rev. 136, A42 (1964)] for two-photon processes in complex atoms. The extension of this theory to the case of rare-earth ions embedded in crystalline fields is carried out by use of symmetry-adaptation techniques based on the use of an SU(2)\ensuremath{\supset}G∗{\mathrm{G}}^{\mathrm{*}}G∗ chain of groups. It is shown that the resulting model (limited up to second-order terms) describes correctly the relative intensities of the two-photon transitions between the Stark levels of the 7F0^{7}\mathrm{F}_{0}7F0​ and 5D2^{5}\mathrm{D}_{2}5D2​ multiplets of Sm2+{\mathrm{Sm}}^{2+}Sm2+ in BaClF.
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Symmetry adaptation techniques are applied to the determination of the intensity of two-photon absorption transitions, between Stark levels of configurations with opposite parities, for transition ions in finite symmetry environments. The equivalence between third-order mechanisms and second- plus first-order mechanisms is clearly established. A compact formula is derived for the intensity of a two-photon transition between two levels with well-defined symmetries. A set of (selection) rules which controls the number of intensity parameters for inter-configurational transitions is given. The formalism is illustrated with the case of an ion with 4f configuration in tetragonal symmetry.
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