Search results for "STO-nG basis sets"

showing 4 items of 4 documents

Explicitly Correlated Electrons in Molecules

2011

Basis set superposition errorQuantum chemistry composite methodsChemistryQuantum mechanicsQuantum Monte CarloPotential energy surfaceMoleculeGeneral ChemistryElectronSTO-nG basis setsChemical Reviews
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Fast noniterative orbital localization for large molecules

2006

We use Cholesky decomposition of the density matrix in atomic orbital basis to define a new set of occupied molecular orbital coefficients. Analysis of the resulting orbitals ("Cholesky molecular orbitals") demonstrates their localized character inherited from the sparsity of the density matrix. Comparison with the results of traditional iterative localization schemes shows minor differences with respect to a number of suitable measures of locality, particularly the scaling with system size of orbital pair domains used in local correlation methods. The Cholesky procedure for generating orthonormal localized orbitals is noniterative and may be made linear scaling. Although our present implem…

Density matrixPhysicsBasis (linear algebra)Minor (linear algebra)General Physics and AstronomySTO-nG basis setsOrbital calculationsUNESCO::FÍSICA::Química físicaHF calculations ; Orbital calculationsPhysics and Astronomy (all)Atomic orbitalComputational chemistryMolecular orbitalOrthonormal basisStatistical physicsPhysical and Theoretical Chemistry:FÍSICA::Química física [UNESCO]HF calculationsCholesky decompositionThe Journal of Chemical Physics
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Predicting the structure and vibrational frequencies of ethylene using harmonic and anharmonic approaches at the Kohn–Sham complete basis set limit

2016

In this work, regular convergence patterns of the structural, harmonic, and VPT2-calculated anharmonic vibrational parameters of ethylene towards the Kohn–Sham complete basis set (KS CBS) limit are demonstrated for the first time. The performance of the VPT2 scheme implemented using density functional theory (DFT-BLYP and DFT-B3LYP) in combination with two Pople basis sets (6-311++G** and 6-311++G(3df,2pd)), the polarization-consistent basis sets pc-n, aug-pc-n, and pcseg-n (n = 0, 1, 2, 3, 4), and the correlation-consistent basis sets cc-pVXZ and aug-cc-pVXZ (X = D, T, Q, 5, 6) was tested. The BLYP-calculated harmonic frequencies were found to be markedly closer than the B3LYP-calculated h…

Kohn–Sham equationsAnharmonic vibrationPolarization-consistent basis sets010402 general chemistry01 natural sciencesDFTSTO-nG basis setsCatalysisCBSInorganic ChemistryEthyleneQuantum mechanicsCorrelation-consistent basis sets0103 physical sciencesLimit (mathematics)Physical and Theoretical ChemistryVPT2Basis setPhysicsOriginal Paper010304 chemical physicsBasis (linear algebra)AnharmonicityOrganic Chemistry0104 chemical sciencesComputer Science ApplicationsComputational Theory and MathematicsHarmonicDensity functional theoryJournal of Molecular Modeling
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Comparison of cartesian and lobe function Gaussian basis sets

1970

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 ver…

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