Abstract

The use of numerical solutions to atomlike single site potentials as a basis for molecular orbital calculations is investigated. The atomic Hamiltonian is modified by addition of a potential well to induce additional discrete levels with the desired spatial characteristics. The discrete variational method is employed, in the Hartree-Fock-Slater model, to compare levels obtained for FeCl4 using multiple-scattering, conventional Slater-orbital, and numerical basis sets. The numerical technique is shown to be an accurate and efficient method for treating general (non-muffin-tin) molecular potentials. The errors in energy levels due to the muffin-tin approximation are calculated.

Keywords

Basis setHamiltonian (control theory)Basis (linear algebra)Molecular orbitalScatteringQuantum mechanicsHartree–Fock methodPhysicsComputational chemistryMathematicsStatistical physicsChemistryMoleculeGeometryMathematical optimization

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Publication Info

Year
1973
Type
article
Volume
59
Issue
12
Pages
6412-6418
Citations
400
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F. W. Averill, D. E. Ellis (1973). An efficient numerical multicenter basis set for molecular orbital calculations: Application to FeCl4. The Journal of Chemical Physics , 59 (12) , 6412-6418. https://doi.org/10.1063/1.1680020

Identifiers

DOI
10.1063/1.1680020