19.01.2015 Views

MOLPRO

MOLPRO

MOLPRO

SHOW MORE
SHOW LESS

You also want an ePaper? Increase the reach of your titles

YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.

C DENSITY FUNCTIONAL DESCRIPTIONS 444<br />

C.33 STEST: Test for number of electrons<br />

g = ρ (s).<br />

(419)<br />

C.34 TH1: Tozer and Handy 1998<br />

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

t = [7/6,4/3,3/2,5/3,4/3,3/2,5/3, 11<br />

(420)<br />

6 ,3/2,5/3, 11 11<br />

,2,3/2,5/3,<br />

6 6 ,2,7/6,4/3,3/2,5/3,1],<br />

u = [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0],<br />

v = [0,0,0,0,1,1,1,1,2,2,2,2,0,0,0,0,0,0,0,0,0],<br />

w = [0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0],<br />

(421)<br />

(422)<br />

(423)<br />

ω = [<br />

n = 21,<br />

R i = (ρ (a)) t i<br />

+ (ρ (b)) t i<br />

,<br />

( )<br />

ρ (a) − ρ (b) 2u<br />

S i =<br />

i<br />

,<br />

ρ<br />

X i = 1/2<br />

Y i =<br />

( √σ ) (<br />

(aa)<br />

v √σ )<br />

i<br />

+ (bb)<br />

v i<br />

ρ 4/3v i<br />

(<br />

σ (aa) + σ (bb) − 2 √ σ (aa) √ )<br />

σ (bb) w i<br />

ρ 8/3 ,<br />

,<br />

(424)<br />

−0.728255,0.331699,<br />

−1.02946,0.235703,<br />

−0.0876221,0.140854,0.0336982,<br />

−0.0353615,0.00497930,<br />

−0.0645900,0.0461795,<br />

−0.00757191,<br />

−0.00242717,0.0428140,<br />

−0.0744891,0.0386577,<br />

−0.352519,2.19805,<br />

−3.72927,1.94441,0.128877],<br />

(425)<br />

(426)<br />

(427)<br />

(428)<br />

(429)<br />

f =<br />

G =<br />

n<br />

∑<br />

i=1<br />

n<br />

∑<br />

i=1<br />

ω i R i S i X i Y i ,<br />

(√ ) ( )<br />

1/2ω i (ρ (s)) t i σ (ss) vi σ (ss) ( )<br />

w i (ρ (s))<br />

4/3v i −1<br />

(ρ (s)) 8/3 .<br />

(430)<br />

(431)

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!