COMPARISON OF THE OPTICAL FARADAY ROTATION OF THE-TRIVALENT RARE EARTH IONS
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Date
1963
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Ohio State University
Abstract
“The optical Faraday rotation of trivalent rare earth phosphate glasses, with approximate stoichiometry, $R_{2}O_{3} \cdot 3P_{2}O_{3}$, where R represents the rare earth ion, has been measured as a function of wavelength in the visible spectrum at room $temperature.^{1}$ Using the equations of Van Vleck and $Hebb^{2}$ for the magnetic susceptibility and Verdet constat of the rare earth ions (except $Sm^{3+}$ and $Eu^{3+}$) in association With the equation for the room temperature paramagnetic susceptibility, the Verdet constant is predicted to be a linear function of $p^{2}/g$, where p is the effective magneton number and g is the spectroscopic splitting factor. However, when the measured relative Verdet constants of the trivalent rare earth ions are compared to the relative $p^{2}/g$ values, only a very limited correlation is noted. The explanation of this observation lies in the apparent large variation of the other parameters on which the Verdet constant depends, namely, the frequencies of the allowed electric dipole transitions and the respective transition probabilities. Finally, it appears more than fortuitous that there exists an orderly decrease in the ratio of the Verdet constant to $p^{2}/g$ as a function of atomic number going from $Cc^{3+}$ to $Gd^{3+}$ and $Tb^{3+}$ to $Yb^{2+}$.”
Description
$^{1}$The samples used in this study were prepared by A. W. Treptow and C. R. Kurkjian, to whom we are indebted. $^{2}$J. H. Van Vleck and M. H. Hebb, Phys, Rev., 46, 17 (1943).
Author Institution: Bell Telephone Laboratories Incorporated
Author Institution: Bell Telephone Laboratories Incorporated