19.01.2015 Views

MOLPRO

MOLPRO

MOLPRO

SHOW MORE
SHOW LESS

Create successful ePaper yourself

Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.

C DENSITY FUNCTIONAL DESCRIPTIONS 437<br />

ε (α,β)<br />

= e(r (α,β),T 1 ,U 1 ,V 1 ,W 1 ,X 1 ,Y 1 ,P 1 )<br />

− e(r (α,β),T 3,U 3 ,V 3 ,W 3 ,X 3 ,Y 3 ,P 3 )ω (ζ (α,β)) ( 1 − (ζ (α,β)) 4)<br />

c<br />

+ (e(r (α,β),T 2 ,U 2 ,V 2 ,W 2 ,X 2 ,Y 2 ,P 2 )<br />

− e(r (α,β),T 1 ,U 1 ,V 1 ,W 1 ,X 1 ,Y 1 ,P 1 ))ω (ζ (α,β))(ζ (α,β)) 4 ,<br />

(331)<br />

r (α,β)<br />

√<br />

= 1/4 3 √<br />

34<br />

2/3 3<br />

1<br />

(332)<br />

π (α + β) ,<br />

ζ (α,β)<br />

(333)<br />

= α − β<br />

α + β ,<br />

ω (z)<br />

(334)<br />

= (1 + z) 4/3 + (1 − z) 4/3 − 2<br />

√ ,<br />

2 3 2 − 2<br />

e(r,t,u,v,w,x,y, p)<br />

=<br />

−2t (1<br />

c = 1.709921,<br />

C (d,α,β)<br />

= K (Q,α,β)<br />

+ M (Q,α,β),<br />

M (d,α,β)<br />

= 0.5ν (φ (r (α,β))<br />

− κ<br />

K (d,α,β)<br />

− 3/7Z)d 2 e −335.9789467 32/3 d<br />

3√<br />

2<br />

π 5 ρ<br />

,<br />

= 0.2500000000λ 2 ln<br />

(<br />

1<br />

+ 1/2<br />

(335)<br />

(<br />

+ ur)ln 1<br />

)<br />

1<br />

t (v √ r + wr + xr 3/2 + yr p+1 ,<br />

)<br />

(336)<br />

(337)<br />

(338)<br />

(339)<br />

ι ( d 2 + N (α,β)d 4) )<br />

+ 2<br />

λ (1 + N (α,β)d 2 + (N (α,β)) 2 d 4 ι −1 ,<br />

)<br />

N (α,β)<br />

(<br />

(340)<br />

= 2ιλ −1 ι ε(α,β)<br />

−4<br />

e λ 2 )<br />

− 1<br />

−1 ,

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

Saved successfully!

Ooh no, something went wrong!