Next: C..6 B88C: Becke88 Correlation Up: C. Density functional descriptions Previous: C..4 B86: X


C..5 B88CMASK:

Xq is the q component of an exchange functional with parameters $t$ and $u$ to be used in conjunction with B88C. See reference [11] for more details.

\begin{dmath}
K=
- 0.8\,\rho_{\alpha}\rho_{\beta}{q}^{2} \left( 1-{\frac {\ln \l...
...{4} \left( 1-2\,{\frac {\ln \left( 1+1/2\,z
\right) }{z}} \right)
,\end{dmath} where \begin{dmath}
q=t \left( x+y \right)
,\end{dmath} \begin{dmath}
x= 0.5\,{\frac {\rho_{\alpha}}{{\it Xa}}}
,\end{dmath} \begin{dmath}
y= 0.5\,{\frac {\rho_{\beta}}{{\it Xb}}}
,\end{dmath} \begin{dmath}
on line 4, syntax error, \lq :\lq  unexpected:
:
^
,\end{dmath} \begin{dmath}
z=2\,ur
,\end{dmath} \begin{dmath}
r= 0.5\,{\frac {\rho_{s}}{{\it Xs}}}
,\end{dmath} \begin{dmath}
on line 4, syntax error, \lq :\lq  unexpected:
:
^
,\end{dmath} \begin{dmath}
d=\tau_{s}-1/4\,{\frac {\sigma_{ss}}{\rho_{s}}}
,\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} and \begin{dmath}
\lambda= 0.007
.\end{dmath} To avoid singularities in the limit $\rho_{\bar{s}}\rightarrow 0$ \begin{dmath}
G=
- 0.01\,\rho_{s}d{z}^{4} \left( 1-2\,{\frac {\ln \left( 1+1/2\,z
\right) }{z}} \right)
.\end{dmath}


molpro@molpro.net
Oct 10, 2007