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Nathanael A. Fortune edited section_Application_to_Specific_Heat__.tex
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\section{Application to Specific Heat of $\kappa$-(BEDT-TTF)$_2$Cu(NCS)$_2$}
$\kappa$-(BEDT-TTF)$_2$Cu(NCS)$_2$ --- with chemical formula C$_{22}$H$_{16}$N$_{2}$S$_{18}$Cu$_{1}$ \cite{Urayama_1988} ---
contains 16 H atoms and 1 Cu atom per mole. has a molar mass $m_{mole}$ of $832.98 \mathrm{g/mole}$.
Substituting $g_N = \mathrm{1.5}$ --- the weighted average nuclear g-factor for these two most common Cu isotopes \cite{Leyarovski_1988}--- into Eq.~\ref{eq:CurieConstant} gives a theoretical value $\lambda_{\mathrm{Cu}} = 3.93 \cdot 10^{-12} \textrm{ K}{\textrm{ m}}^3 {\textrm{ mol}}^{-1}$.Experimentally, \cite{Leyarovski_1988} find a value of $\lambda_{\mathrm{Cu}} = 4.03 \cdot 10^{-12} \textrm{ K}{\textrm{ m}}^3 {\textrm{ mol}}^{-1}$ upon fitting Eq.~\ref{eq:SchottkyTail} to their measurements of the specific heat of Cu taken between 0.3 K and 1 K in an applied field of 14 T.
In our Jan 2015 heat capacity run, we used a 0.40 mg sample of $\kappa$-(BEDT-TTF)$_2$Cu(NCS)$_2$. In our July 2015 run, we used a 0.50 mg sample. Assuming
a molar mass $m_{mole}$ of $832.98 \mathrm{g/mole}$ and 1 Cu atom per mole, the nuclear contribution of the Cu nuclei to the measured heat capacity of $\kappa$-(BEDT-TTF)$_2$Cu(NCS)$_2$ is predicted to be
\begin{equation}
\label{eq:NuclearCuContribution}
c = {\alpha} \frac{H^2}{T^2} \mathrm{\ [J/K]}