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Libxc - a library of exchange and correlation functionals - TDDFT.org

Libxc - a library of exchange and correlation functionals - TDDFT.org

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What do we need - II<br />

For response properties we also need higher derivatives <strong>of</strong> e xc<br />

1st-order response (polarizabilities, phonon frequencies,<br />

etc.):<br />

fxc LDA (r) = d 2<br />

d 2 n eLDA xc (n) ∣<br />

∣<br />

n=n(r)<br />

2st-order response (hyperpolarizabilities, etc.):<br />

kxc LDA (r) = d 3<br />

d 3 n eLDA xc (n) ∣<br />

And let’s not f<strong>org</strong>et spin...<br />

∣<br />

n=n(r)<br />

M. A. L. Marques <strong>Libxc</strong>

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