Abstract

We present an efficient algorithm for the evaluation of short-range Hartree-Fock exchange energies and geometry gradients in Gaussian basis sets. Our method uses a hierarchy of screening levels to eliminate negligible two-electron integrals whose evaluation is the fundamental computational bottleneck of the procedure. By applying our screening technique to the Heyd-Scuseria-Ernzerhof [J. Chem. Phys. 118, 8207 (2003)] short-range Coulomb hybrid density functional, we achieve a computational efficiency comparable with that of standard nonhybrid density functional calculations.

Keywords

BottleneckHybrid functionalHartree–Fock methodRange (aeronautics)GaussianDensity functional theoryCoulombBasis (linear algebra)Statistical physicsComputational physicsPhysicsQuantum mechanicsElectronMathematicsComputer scienceMaterials scienceGeometry

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Publication Info

Year
2006
Type
article
Volume
125
Issue
10
Pages
104103-104103
Citations
223
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Artur F. Izmaylov, Gustavo E. Scuseria, Michael J. Frisch (2006). Efficient evaluation of short-range Hartree-Fock exchange in large molecules and periodic systems. The Journal of Chemical Physics , 125 (10) , 104103-104103. https://doi.org/10.1063/1.2347713

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DOI
10.1063/1.2347713