Abstract
The trigonal-field splitting of $^{2}E$ into $\overline{E}$ and $2\overline{A}$ states is found to be $\overline{E}\ensuremath{-}2\overline{A}=\ensuremath{-}120$ ${\mathrm{cm}}^{\ensuremath{-}1}$ by identifying $2\overline{A}$. The no-phonon lines of deuterated samples are isotope shifted 6 ${\mathrm{cm}}^{\ensuremath{-}1}$ to the red. The following generalizations suffice to relate the spectra of the Cr-alums: (i) They are due to $^{4}A_{2}\ensuremath{\rightarrow}\overline{E}$, $2\overline{A}(^{2}E)$ transitions. The splitting of $^{2}E$ is large for the $\ensuremath{\beta}$-alums, small for the $\ensuremath{\alpha}$-alums. (ii) Sulfate-group disorder, found in all $\ensuremath{\alpha}$-alums, complicates their spectra by adding inequivalent ${\mathrm{Cr}}^{3+}$ sites.
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