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@@ -472,22 +472,19 @@ corresponding modulus. \caption{ \Rus\ measurements of the elastic moduli of \urusi\ at ambient pressure as a function of temperature from recent experiments\cite{1903.00552v1} (blue, - solid) alongside fits to theory (magenta, dashed). The solid yellow region + solid) alongside fits to theory (magenta, dashed and black, solid). The solid yellow region shows the location of the \ho\ phase. (a) $\Btg$ modulus data and a fit to the standard form.\cite{Varshni_1970} (b) $\Bog$ modulus data and a fit to - \eqref{eq:static_modulus}. The fit gives + \eqref{eq:static_modulus} (magenta, dashed) and a fit to \eqref{eq:C0} (black, solid). The fit gives $C^0_\Bog\simeq\big[71-(0.010\,\K^{-1})T\big]\,\GPa$, $D_\perp q_*^4/b^2\simeq0.16\,\GPa^{-1}$, and $a/b^2\simeq6.1\times10^{-4}\,\GPa^{-1}\,\K^{-1}$. Addition of a quadratic term in $C^0_\Bog$ was here not needed for the fit.\cite{Varshni_1970} (c) $\Bog$ modulus data and the fit of the \emph{bare} $\Bog$ modulus. (d) - $\Bog$ modulus data and the fit transformed by + $\Bog$ modulus data and the fits transformed by $[C^0_\Bog(C^0_\Bog/C_\Bog-1)]]^{-1}$, which is predicted from \eqref{eq:static_modulus} to equal $D_\perp q_*^4/b^2+a/b^2|T-T_c|$, e.g., - an absolute value function. The failure of the Ginzburg--Landau prediction - below the transition is expected on the grounds that the \op\ is too large - for the free energy expansion to be valid by the time the Ginzburg - temperature is reached. + an absolute value function. } \label{fig:data} \end{figure*} |