19.1.11 BW: Becke-Wigner Exchange-Correlation Functional

P. A. Stewart and P. M. W. Gill,J. Chem. Faraday Trans. 273,183 (1995)

Hybrid exchange-correlation functional comprising Becke's 1998 exchange and Wigner's spin-polarised correlation functionals.

$$K= -4\,c\frac{\rho_{\alpha}\rho_{\beta}}{{\rho}}\left (1+{\f... ...i_{s}^{2}}{1+6\,\beta\,\chi_{s}{\text{ arcsinh}}(\chi_{s})}} ,$$ (54)

where

$$\alpha=-\frac{3}{2}\left (\frac{3}{4\pi}\right )^{1/3} ,$$ (55)

$$\beta= 0.0042 ,$$ (56)

$$c= 0.04918$$ (57)

and

$$d= 0.349 .$$ (58)