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17 THE DENSITY FUNCTIONAL PROGRAM 119<br />

A = 0.132, (36)<br />

c = 0.2533, (37)<br />

d = 0.349, (38)<br />

e = 3 (<br />

3π<br />

2 ) 2/3<br />

10<br />

(39)<br />

and<br />

(<br />

Z = 1 + d ) −1<br />

ρ 1/3 . (40)<br />

B86R<br />

DIRAC<br />

BRUEG<br />

VWN5<br />

Xαβγ Re-optimised. Re-optimised β of B86 used in part 3 of<br />

Becke’s 1997 paper.<br />

doi:10.1063/1.475007<br />

Slater-Dirac Exchange Energy. Automatically generated Slater-<br />

Dirac exchange.<br />

doi:10.1103/PhysRev.81.385<br />

Becke-Roussel Exchange Functional — Uniform Electron Gas<br />

Limit. A. D. Becke and M. R. Roussel,Phys. Rev. A 39, 3761<br />

(1989)<br />

As for BR but with γ = 0.8.<br />

VSXC .<br />

doi:10.1063/1.476577<br />

B88<br />

G96<br />

THGFCO<br />

CS1<br />

THGFL<br />

Vosko-Wilk-Nusair (1980) V local correlation energy. VWN<br />

1980(V) functional. The fitting parameters for ∆ε c (r s ,ζ ) V appear<br />

in the caption of table 7 in the reference.<br />

doi:VWN80<br />

Becke 1988 Exchange Functional<br />

doi:10.1103/PhysRevA.38.3098<br />

Gill’s 1996 Gradient Corrected Exchange Functional<br />

doi:G96<br />

.. Density and gradient dependent first row exchange-correlation<br />

functional.<br />

doi:10.1016/S0009-2614(97)00586-1<br />

Colle-Salvetti correlation functional. R. Colle and O. Salvetti,<br />

Theor. Chim. Acta 37, 329 (1974); C. Lee, W. Yang and R. G.<br />

Parr, Phys. Rev. B 37, 785(1988)<br />

CS1 is formally identical to CS2, except for a reformulation in<br />

which the terms involving υ are eliminated by integration by<br />

parts. This makes the functional more economical to evaluate.<br />

In the limit of exact quadrature, CS1 and CS2 are identical, but<br />

small numerical differences appear with finite integration grids.<br />

.. Density dependent first row exchange-correlation functional<br />

for closed shell systems.<br />

doi:10.1016/S0009-2614(97)00586-1

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