Abstract
We have measured the $^{19}\mathrm{F}$ nuclear spin-lattice relaxation rate $\frac{1}{{T}_{1}}$ in a borate glass containing Ca${\mathrm{F}}_{2}$. In the range $2.5 \mathrm{K}\ensuremath{\lesssim}T\ensuremath{\lesssim}30 \mathrm{K}$, $\frac{1}{{T}_{1}}$ exhibits a quadratic temperature dependence not frequently found in other glasses. This behavior is a limiting case predicted by a model of thermally induced two-level systems proposed by Varma, Dynes, and Banavar. The predominant magnetic dipole-dipole interaction prevalent for $^{19}\mathrm{F}$ nuclei permits a more quantitative comparison with theory than possible with earlier results.
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