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RESEARCH PRODUCT

Comparison of cartesian and lobe function Gaussian basis sets

Robert J. BuenkerShing-kuo ShihBernd WirsamSigrid D. Peyerimhoff

subject

PhysicsBasis (linear algebra)GaussianMathematical analysisSpherical harmonicsFunction (mathematics)STO-nG basis setsLobelaw.inventionsymbols.namesakemedicine.anatomical_structurelawmedicinesymbolsCartesian coordinate systemChiropracticsPhysical and Theoretical ChemistryScaling

description

The lobe function and cartesian (spherical harmonic) gaussian are compared with reference to calculations for second-row atoms. Single and grouped gaussian basis sets which have been reported for cartesian functions are taken over directly to construct corresponding lobe function bases with identical sets of exponents and with lobe separations chosen by a scaling procedure. Total and orbital energies and SCF coefficients resulting from calculations on the second-row atoms using the two types of functions for both primitive and grouped gaussian basis sets are seen to be in excellent agreement, thereby emphasizing the essential equivalence of lobe functions and cartesian gaussians, at the very least with respect to calculation of energy surfaces.

https://doi.org/10.1007/bf00526449