Nathanael A. Fortune edited section_Nuclear_Schottky_effect_In__.tex  over 8 years ago

Commit id: 129e8e6482745de18169707c543e386d4f4dd6d2

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In closed form,   \begin{equation}  \label{eq:ClosedFormSolution}  c_N = R \left(\frac{x}{2I}\right)^2 \{{\textrm{Csch}}^2\left(\frac{x}{2I}\right) \left[{\textrm{Csch}}^2\left(\frac{x}{2I}\right)  - 2(2I+1)^2 {\textrm{Csch}}^2[(2I+1)\frac{x}{2I}]\} {\textrm{Csch}}^2[(2I+1)\left(\frac{x}{2I}\right)]\right]  \end{equation}  The Zeeman splitting of the nuclear energy levels leads to a broad peak in the specific heat when $k_b T$ is on the order of the energy splitting $\mu H$, but because the energy splittings are small\footnote{the nuclear magneton is a factor of 1836.1 smaller than the Bohr magneton $\mu_B$}, only the high temperature $(\mu H/k_B T)^2$ tail of specific heat peak is seen. Assuming that the zero field field splitting (ZFS) is negligible in comparison to that from the applied field $H$, then \cite{Lounasmaa1974, Leyarovski_1988},