Magnetic properties in some holmium compounds

In continuation of our previous studies on the magnetic susceptibilities in Tb${\mathrm{}\left(\mathrm{OH}\right)\mathrm{}}_3$ and Dy${\mathrm{}\left(\mathrm{OH}\right)\mathrm{}}_3$, this work reports the results of a study of the isomorphous Ho${\mathrm{}\left(\mathrm{OH}\right)\mathrm{}}_3$ crystalline complex. Using the crystal-field parameters (CFP) reported from earlier optical studies, calculations were made for the principal magnetic susceptibilities $K_{\parallel }$ and $K_{\perp }$, their anisotropies ($K_{\parallel }-K_{\perp }$), and their average values $\overline{K}$, $g$ values, the crystal-field splitting of the ground ${}_{}{}^5{}_{}{}^{}I_8^{}{}_{}{}^{}$ term, and the Schottky specific heat $C_s$ for Ho${\mathrm{}\left(\mathrm{OH}\right)\mathrm{}}_3$, Ho${\mathrm{}\left(\mathrm{ES}\right)\mathrm{}}_3$, and Ho${\mathrm{Cl}}_3$ between 300 and 80 K. The study showed that the anisotropy ($K_{\parallel }-K_{\perp }$) was much more sensitive than $\overline{K}$ or $g$ values to the values of the CFP. The effect of variation of CFP on ($K_{\parallel }-K_{\perp }$) was studied, and interesting limiting values for some of the CFP were obtained; this is applicable to any crystalline complexes of ${\mathrm{Ho}}^{3+}$ in a $C_{3h}$ field.