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Seminumerical calculation of the Hartree–Fock exchange matrix: Application to two-component procedures and efficient evaluation of local hybrid density functionals

✍ Scribed by Philipp Plessow; Florian Weigend


Publisher
John Wiley and Sons
Year
2012
Tongue
English
Weight
147 KB
Volume
33
Category
Article
ISSN
0192-8651

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✦ Synopsis


Abstract

A two‐component extension of the seminumerical procedure for the calculation of the Hartree–Fock (HF) exchange matrix recently presented by Neese et al. (Chem Phys 2009, 356, 98) was implemented into the program system TURBOMOLE. It is demonstrated that this allows for efficient self‐consistent treatment of spin–orbit coupling at HF and hybrid density functional theory level. One‐component HF calculations were performed to study the accuracy of integration grids and the exploitation of the molecular point group symmetry. The efficiency was tested, and for one‐component calculations compared to the implementation realized by Neese. It was further demonstrated that local hybrid density functionals can be evaluated with this technique. The “prototype” of this class of functionals, Lh‐BLYP, was applied to an organic molecule with more than 150 atoms. © 2012 Wiley Periodicals, Inc. J Comput Chem, 2012


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We advance a reformulation of the Hartree᎐Fock problem in the context of the local-scaling transformation version of density functional theory. Explicit functionals of the energy are obtained. These functionals are expressed in terms of both the one-particle density and the local-scaling transformat