A fully direct RI-HF algorithm: Implementation, optimised auxiliary basis sets, demonstration of accuracy and efficiency

2002 Physical Chemistry Chemical Physics 1,406 citations

Abstract

A direct HF algorithm using the resolution of identity for Coulomb and exchange integrals (RI-HF) was implemented within the program system TURBOMOLE. A variational procedure for the optimisation of auxiliary functions is presented as well as optimised auxiliary basis sets for large basis sets up to Br. The accuracy of RI-HF energies and of MP2 energies based on RI-HF wave functions is demonstrated for a large test set of molecules. Accuracy of first order properties is documented for selected cases. The size dependency of the RI errors and the efficiency of the method are investigated for closo-boranes [BnHn]2− (n = 4–12).

Keywords

Basis (linear algebra)AlgorithmCoulombBasis setSet (abstract data type)Basis functionResolution (logic)Wave functionMathematicsPhysicsMoleculeComputer scienceAtomic physicsMathematical analysisQuantum mechanicsGeometry

Affiliated Institutions

Related Publications

Exchange and correlation energy in density functional theory: Comparison of accurate density functional theory quantities with traditional Hartree–Fock based ones and generalized gradient approximations for the molecules Li2, N2, F2

The density functional definition of exchange and correlation differs from the traditional one. In order to calculate the density functional theory (DFT), quantities accurately,...

1997 The Journal of Chemical Physics 209 citations

Publication Info

Year
2002
Type
article
Volume
4
Issue
18
Pages
4285-4291
Citations
1406
Access
Closed

External Links

Social Impact

Social media, news, blog, policy document mentions

Citation Metrics

1406
OpenAlex

Cite This

Florian Weigend (2002). A fully direct RI-HF algorithm: Implementation, optimised auxiliary basis sets, demonstration of accuracy and efficiency. Physical Chemistry Chemical Physics , 4 (18) , 4285-4291. https://doi.org/10.1039/b204199p

Identifiers

DOI
10.1039/b204199p