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C DENSITY FUNCTIONAL DESCRIPTIONS 449<br />

ω = [<br />

n = 20,<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 />

(480)<br />

−0.864448,0.565130,<br />

−1.27306,0.309681,<br />

−0.287658,0.588767,<br />

−0.252700,0.0223563,0.0140131,<br />

−0.0826608,0.0556080,<br />

−0.00936227,<br />

−0.00677146,0.0515199,<br />

−0.0874213,0.0423827,0.431940,<br />

−0.691153,<br />

−0.637866,1.07565],<br />

(481)<br />

(482)<br />

(483)<br />

(484)<br />

(485)<br />

f =<br />

n<br />

∑<br />

i=1<br />

ω i R i S i X i Y i ,<br />

(486)<br />

G =<br />

n<br />

∑<br />

i=1<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 />

(487)<br />

C.40 THGFCO: .<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 />

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

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

6<br />

(488)<br />

6 ,2,7/6,4/3,3/2,5/3], (489)<br />

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

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

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

(490)<br />

(491)

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