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C..5 B88C: Becke 1988 Correlation Functional

Correlation functional depending on B86MGC exchange functional with empirical atomic parameters, $t$ and $u$. The exchange functional that is used in conjunction with B88C should replace B88MGC here. \begin{dmath}
f=- 0.8\,\rho \left( a \right) \rho \left( b \right) {q}^{2} \left( 1-{
\frac {\ln \left( 1+q \right) }{q}} \right)
,\end{dmath}

\begin{dmath}
q=t \left( x+y \right)
,\end{dmath}

\begin{dmath}
x= 0.5\, \left( c\sqrt [3]{\rho \left( a \right) }+{\frac {\beta\,...
... \chi \left( a \right) \right) ^
{2} \right) ^{4/5}}} \right) ^{-1}
,\end{dmath}

\begin{dmath}
y= 0.5\, \left( c\sqrt [3]{\rho \left( b \right) }+{\frac {\beta\,...
... \chi \left( b \right) \right) ^
{2} \right) ^{4/5}}} \right) ^{-1}
,\end{dmath}

\begin{dmath}
t= 0.63
,\end{dmath}

\begin{dmath}
g=- 0.01\,\rho \left( s \right) d{z}^{4} \left( 1-2\,{\frac {\ln
\left( 1+1/2\,z \right) }{z}} \right)
,\end{dmath}

\begin{dmath}
z=2\,ur
,\end{dmath}

\begin{dmath}
r= 0.5\,\rho \left( s \right) \left( c \left( \rho \left( s \right...
... \chi \left( s \right) \right) ^{2} \right) ^{4/5}}} \right) ^{
-1}
,\end{dmath}

\begin{dmath}
u= 0.96
,\end{dmath}

\begin{dmath}
d=\tau \left( s \right) -1/4\,{\frac {\sigma \left( {\it ss} \right) }{
\rho \left( s \right) }}
,\end{dmath}

\begin{dmath}
G=- 0.01\,\rho \left( s \right) d{z}^{4} \left( 1-2\,{\frac {\ln
\left( 1+1/2\,z \right) }{z}} \right)
,\end{dmath}

\begin{dmath}
c=3/8\,\sqrt [3]{3}{4}^{2/3}\sqrt [3]{{\pi }^{-1}}
,\end{dmath}

\begin{dmath}
\beta= 0.00375
,\end{dmath}

\begin{dmath}
\lambda= 0.007
.\end{dmath}



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