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C DENSITY FUNCTIONAL DESCRIPTIONS 438<br />

Q = 1/12<br />

√<br />

σ (ss)<br />

3√<br />

23<br />

5/6<br />

6√<br />

π −1 ρ 7/6 .<br />

(341)<br />

C.27 PBEX: PBE Exchange Functional<br />

g = 1/2E (2ρ (s)),<br />

G = 1/2E (2ρ (s)),<br />

(342)<br />

(343)<br />

E (n)<br />

=<br />

−3/4<br />

3√ 3√<br />

3 π 2 n 4/3 F (S)<br />

,<br />

π<br />

(344)<br />

S = 1/12 χ (s)62/3<br />

3√ ,<br />

π 2<br />

(345)<br />

F (S)<br />

= 1<br />

+ R<br />

− R<br />

R = 0.804,<br />

(<br />

1<br />

µ = 1/3δ π 2 ,<br />

δ = 0.066725.<br />

(346)<br />

+ µ )<br />

S2 −1 ,<br />

R<br />

(347)<br />

(348)<br />

(349)<br />

C.28 PBEXREV: Revised PBE Exchange Functional<br />

Changes the value of the constant R from the original PBEX functional<br />

g = 1/2E (2ρ (s)),<br />

G = 1/2E (2ρ (s)),<br />

(350)<br />

(351)<br />

E (n)<br />

=<br />

−3/4<br />

3√ 3√<br />

3 π 2 n 4/3 F (S)<br />

,<br />

π<br />

(352)<br />

S = 1/12 χ (s)62/3<br />

3√ ,<br />

π 2<br />

(353)

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