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AB-INITIO SIMULATIONS IN MATERIALS SCIENCE - VASP

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Hartree-Fock methods II<br />

Hartree-Fock equations<br />

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¯h 2<br />

2m ∆<br />

e 2 ∑<br />

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Problems with Hartree-Fock calculations<br />

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(10)<br />

Computational effort scales badly with the number of electrons<br />

Neglect of correlations<br />

- Too wide band gaps, too small band widths<br />

- Exchange-operator for metallic systems singular at the Fermi level<br />

J. HAFNER, <strong>AB</strong>-<strong><strong>IN</strong>ITIO</strong> <strong>MATERIALS</strong> <strong>SIMULATIONS</strong> Page 10

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