Electrostatic crystal-field contributions in rare-earth compounds with consistent multipolar effects. II. Contribution tok-odd parameters (transition probabilities)

$k$-odd electrostatic crystal-field parameters (${\beta }_q^k$) involved in the Judd-Ofelt theory of electronic transitions within the $4f^n$ configuration are computed including contributions of point charges, consistent dipoles, and quadrupoles induced in a crystalline lattice (calculated and experimental intensity parameters ${\Omega }_{\lambda }$ are compared). The coefficients (${\gamma }_q^k$) involved in the pseudo-multipolar-field theory are also computed for 14 rare-earth or rare-earth—doped compounds (i.e., for LiY${\mathrm{F}}_4$: ${\mathrm{Nd}}^{3+}$, YOBr, and YOCl: ${\mathrm{Eu}}^{3+}$; BaFCl and SrFCl: ${\mathrm{Sm}}^{2+}$; BaTi${\mathrm{O}}_3$: ${\mathrm{Eu}}^{3+}$, NdAl${\mathrm{O}}_3$, and LaAl${\mathrm{O}}_3$: ${\mathrm{Eu}}^{3+}$; ${\mathrm{Nd}}_2$ ${\mathrm{O}}_3$, ${\mathrm{Nd}}_2$ ${\mathrm{O}}_2$S, La${\mathrm{F}}_3$, and La${\mathrm{Cl}}_3$: ${\mathrm{Nd}}^{3+}$; ${\mathrm{Y}}_2$ ${\mathrm{O}}_3$ and K${\mathrm{Y}}_3$ ${\mathrm{F}}_{10}$: ${\mathrm{Eu}}^{3+}$). The contribution of ${\gamma }_q^k$ to transition rates is evaluated for the ${}_{}{}^5{}_{}{}^{}D_0^{}{}_{}{}^{}\to {}_{}{}^7{}_{}{}^{}F_4^{}{}_{}{}^{}$ and