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C DENSITY FUNCTIONAL DESCRIPTIONS 420<br />

r (α,β)<br />

√<br />

= 1/4 3 √<br />

34<br />

2/3 3<br />

1<br />

(141)<br />

π (α + β) ,<br />

ζ (α,β)<br />

(142)<br />

= α − β<br />

α + β ,<br />

ω (z)<br />

(143)<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 />

+ 1/2<br />

(144)<br />

(<br />

+ ur)ln 1<br />

)<br />

1<br />

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

)<br />

(145)<br />

C.8 B97RDF: Density functional part of B97 Re-parameterized by Hamprecht et<br />

al<br />

Re-parameterization of the B97 functional in a self-consistent procedure by Hamprecht et al.<br />

This functional needs to be mixed with 0.21*exact exchange.<br />

T = [0.031091,0.015545,0.016887],<br />

U = [0.21370,0.20548,0.11125],<br />

V = [7.5957,14.1189,10.357],<br />

W = [3.5876,6.1977,3.6231],<br />

X = [1.6382,3.3662,0.88026],<br />

Y = [0.49294,0.62517,0.49671],<br />

P = [1,1,1],<br />

A = [0.955689,0.788552,<br />

B = [0.0820011,2.71681,<br />

(146)<br />

(147)<br />

(148)<br />

(149)<br />

(150)<br />

(151)<br />

(152)<br />

(153)<br />

−5.47869],<br />

(154)<br />

−2.87103],

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