A correlated E PR and optical study has been performed on Cd${\mathrm{F}}_{2}$: (${\mathrm{Er}}^{3+}$, $U$) ($U\ensuremath{\equiv}\mathrm{unintentionally}\mathrm{compensated}$) and Cd${\mathrm{F}}_{2}$: (${\mathrm{Er}}^{3+}$, ${M}^{+}$) (${M}^{+}={\mathrm{Li}}^{+}, {\mathrm{Na}}^{+}, {\mathrm{Ag}}^{+}, or {\mathrm{K}}^{+}$) crystals with the following objectives: (i) generating a high concentration of a specific (i.e., ${C}_{2v}$) ${\mathrm{Er}}^{3+}$ site through the addition of monovalent cations and characterizing this site by EPR; (ii) unambiguously determining selected optical properties of ${\mathrm{Er}}^{3+}$ in ${C}_{2v}$ symmetry; and (iii) determining the crystal field splitting of the $^{4}I_{\frac{15}{2}}$ ground site of ${\mathrm{Er}}^{3+}$ for ${C}_{2v}$ symmetry. The orthorhombic (${C}_{2v}$) symmetry, produced at the erbium site when ${M}^{+}$ ions are introduced for charge compensation, has been identified through the angular dependence of the ${\mathrm{Er}}^{3+}$ EPR spectrum (at 4.2 K). Moreover, the EPR results reveal that the ${C}_{2v}$ (${\mathrm{Er}}^{3+}$, ${M}^{+}$) site accounts for nearly all (> 98%) of the noncubic sites recorded for (${\mathrm{Er}}^{3+}$, ${M}^{+}$) specimens. This result has permitted an unambiguous determination of the emission, excitation, absorption, lifetime, and efficiency properties of ${\mathrm{Er}}^{3+}$ in ${C}_{2v}$ symmetry. These characteristics have been found to be similar for each of the ${M}^{+}$ ions listed, but different from those obtained from (${\mathrm{Er}}^{3+}$, $U$) crystals. In particular for (${\mathrm{Er}}^{3+}$, ${\mathrm{Na}}^{+}$) the green ($^{4}S_{\frac{3}{2}}\ensuremath{\rightarrow}^{4}I_{\frac{15}{2}}$) quantum yield is observed to increase from 2.3 to 19.7%, whereas the red ($^{4}F_{\frac{9}{2}}\ensuremath{\rightarrow}^{4}I_{\frac{15}{2}}$) quantum yield decreases from 26 to 2.9%. The large variation in these radiative-quantum yields is analyzed in terms of multiphonon decay processes ($^{4}S_{\frac{3}{2}}\ensuremath{\rightarrow}^{4}F_{\frac{9}{2}}$), which are seen to be sensitive to ${\mathrm{Er}}^{3+}$-site symmetry, but relatively insensitive to the exact nature of the compensating species. The crystal field splitting of the $^{4}I_{\frac{15}{2}}$ ground state of ${\mathrm{Er}}^{3+}$ in ${C}_{2v}$ symmetry is in good agreement with that expected from the cubic-field approximation of Lea, Leask, and Wolf, with crystal field parameters, ${A}_{4}〈{\mathcal{r}}^{4}〉=\ensuremath{-}245$ ${\mathrm{cm}}^{\ensuremath{-}1}$ and ${A}_{6}〈{\mathcal{r}}^{6}〉=40$ ${\mathrm{cm}}^{\ensuremath{-}1}$. The noncubic portion of the total orthorhombic field may be accounted for in terms of an axial distortion along the ${\mathrm{Er}}^{3+}$-${M}^{+}$ direction, as verified by the excellent agreement obtained between the EPR $g$ values and the optical splitting of the ${\ensuremath{\Gamma}}_{8}^{(1)}$ state of the $^{4}I_{\frac{15}{2}}$ multiplet.
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