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C DENSITY FUNCTIONAL DESCRIPTIONS 429<br />

C = [1.09025,<br />

λ = [0.006,0.2,0.004],<br />

d = 1/2 (χ (a)) 2<br />

+ 1/2 (χ (b)) 2 ,<br />

(232)<br />

−0.799194,5.57212,<br />

−5.86760,3.04544],<br />

(233)<br />

(234)<br />

f = (ε (ρ (a),ρ (b))<br />

− ε (ρ (a),0)<br />

(235)<br />

− ε (ρ (b),0)) ( A 0<br />

+ A 1 η (d,λ 1 )<br />

+ A 2 (η (d,λ 1 )) 2<br />

+ A 3 (η (d,λ 1 )) 3<br />

+ A 4 (η (d,λ 1 )) 4) ,<br />

η (θ, µ)<br />

(236)<br />

= µ θ<br />

1 + µ θ ,<br />

g = ε (ρ (s),0) ( B 0<br />

(237)<br />

+ B 1 η ( (χ (s)) 2 )<br />

,λ 2<br />

+ B 2<br />

(<br />

η<br />

(<br />

(χ (s)) 2 ,λ 2<br />

)) 2<br />

+ B 3<br />

(<br />

η<br />

(<br />

(χ (s)) 2 ,λ 2<br />

)) 3<br />

+ B 4<br />

(<br />

η<br />

(<br />

(χ (s)) 2 ,λ 2<br />

)) 4<br />

)<br />

− 3/8 3 √<br />

34<br />

2/3 3 √<br />

π −1 (ρ (s)) 4/3 ( C 0<br />

+ C 1 η ( (χ (s)) 2 ,λ 3<br />

)<br />

+ C 2<br />

(<br />

η<br />

(<br />

(χ (s)) 2 ,λ 3<br />

)) 2<br />

+ C 3<br />

(<br />

η<br />

(<br />

(χ (s)) 2 ,λ 3<br />

)) 3<br />

+ C 4<br />

(<br />

η<br />

(<br />

(χ (s)) 2 ,λ 3<br />

)) 4<br />

)<br />

,<br />

(238)<br />

ε (α,β)<br />

= (α<br />

+ β)<br />

(<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 />

r (α,β)<br />

√<br />

√<br />

= 1/4 3 34<br />

2/3 1<br />

3<br />

π (α + β) ,<br />

(239)

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