C..32 TH1: Tozer and Handy 1998

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C..32 `TH1`: Tozer and Handy 1998

Density and gradient dependent first row exchange-correlation functional. See reference [22] for more details.

$\begin{dmath} t=[7/6,4/3,3/2,5/3,4/3,3/2,5/3,{\frac {11}{6}},3/2,5/3,{\frac {11}{6}}, 2,3/2,5/3,{\frac {11}{6}},2,7/6,4/3,3/2,5/3,1] ,\end{dmath}$

$\begin{dmath} u=[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0] ,\end{dmath}$

$\begin{dmath} v=[0,0,0,0,1,1,1,1,2,2,2,2,0,0,0,0,0,0,0,0,0] ,\end{dmath}$

$\begin{dmath} w=[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0] ,\end{dmath}$

$\begin{dmath} \omega=[- 0.728255, 0.331699,- 1.02946, 0.235703,- 0.0876221, 0.14... ...44891, 0.0386577,- 0.352519, 2.19805,- 3.72927, 1.94441, 0.128877] ,\end{dmath}$

$\begin{dmath} n=21 ,\end{dmath}$

$\begin{dmath} R_{{i}}= \left( \rho \left( a \right) \right) ^{t_{{i}}}+ \left( \rho \left( b \right) \right) ^{t_{{i}}} ,\end{dmath}$

$\begin{dmath} S_{{i}}= \left( {\frac {\rho \left( a \right) -\rho \left( b \right) }{ \rho}} \right) ^{2\,u_{{i}}} ,\end{dmath}$

$\begin{dmath} X_{{i}}=1/2\,{\frac { \left( \sqrt {\sigma \left( {\it aa} \right)... ...ft( {\it bb} \right) } \right) ^{v_{{i}}}}{{\rho}^{4/3\,v_{{i}}}}} ,\end{dmath}$

$\begin{dmath} Y_{{i}}= \left( {\frac {\sigma \left( {\it aa} \right) +\sigma \le... ...\sigma \left( {\it bb} \right) }}{{\rho}^{8/3}}} \right) ^{w_{{i}}} ,\end{dmath}$

$\begin{dmath} f=\sum _{i=1}^{n}\omega_{{i}}R_{{i}}S_{{i}}X_{{i}}Y_{{i}} ,\end{dmath}$

$\begin{dmath} G=\sum _{i=1}^{n}1/2\,\omega_{{i}} \left( \rho \left( s \right) ... ...\left( \rho \left( s \right) \right) ^{4/3\,v_{{i}}} \right) ^{-1} .\end{dmath}$

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Sep 24, 2008