Recalculation of the electric-field-induced $g$ shifts for tetragonal ${\mathrm{Ce}}^{3+}$ sites in Ca${\mathrm{F}}_2$

We have reviewed our calculation of the electric-field-induced $g$-shift parameters for tetragonal ${\mathrm{Ce}}^{3+}$ sites in Ca${\mathrm{F}}_2$ presented in an earlier paper, making use of recent spectroscopic data which were not previously available. Of the three parameters corresponding to the $C_{4v}$ point symmetry of the site, two now agree very well with the experimental data, but one remains widely in error. This discrepancy could indicate that the first-excited doublet is closer to the ground state than it is assumed to be in the present calculation.