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C..17 G96: Gill's 1996 Gradient Corrected Exchange Functional

See reference [16] for more details.

\begin{dmath} K= \sum_s \left( \rho_{s} \right) ^{4/3} \left( \alpha-{\frac {1}{137}}\, \left( \chi_{s} \right) ^{3/2} \right) ,\end{dmath} where \begin{dmath} \alpha=-3/8\,\sqrt [3]{3}{4}^{2/3}\sqrt [3]{{\pi }^{-1}} .\end{dmath} To avoid singularities in the limit $\rho_{\bar{s}}\rightarrow 0$ \begin{dmath} G= \left( \rho_{s} \right) ^{4/3} \left( \alpha-{\frac {1}{137}}\, \left( \chi_{s} \right) ^{3/2} \right) .\end{dmath}

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Oct 10, 2007