Many-Center Wavefunctions for the Hydrogen Molecule and the Hydrogen Molecular Ion
- 15 June 1964
- journal article
- research article
- Published by AIP Publishing in The Journal of Chemical Physics
- Vol. 40 (12), 3540-3547
- https://doi.org/10.1063/1.1725049
Abstract
Many‐center wavefunctions for the hydrogen molecule and the hydrogen molecular ion are constructed using basis sets composed of either 1s orbitals or spherical Gaussians. Emphasis is placed on minimization of the total molecular energy with respect to all available nonlinear parameters. In the case of the s‐orbital basis, all the many‐center integrals are computed without resort to approximation techniques. It is concluded that the basis set of spherical Gaussians is superior to that of 1s orbitals and that further work with these functions may prove fruitful.Keywords
This publication has 30 references indexed in Scilit:
- The Nature of the Two-Electron Chemical Bond. III. Natural Orbitals forReviews of Modern Physics, 1963
- `` Direct Search'' Solution of Numerical and Statistical ProblemsJournal of the ACM, 1961
- The integral formulae for the variational solution of the molecular many-electron wave equation in terms of Gaussian functions with direct electronic correlationProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1960
- The use of Gaussian (exponential quadratic) wave functions in molecular problems. II. Wave functions for the ground states of the hydrogen atom and of the hydrogen moleculeProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1960
- Correlated Orbitals for the Ground State of the Hydrogen MoleculeReviews of Modern Physics, 1960
- Configuration Interaction in the Hydrogen Molecule—The Ground StateReviews of Modern Physics, 1960
- Molecular Orbital Studies of Diatomic Molecules. I. Method of Computation for Single Configurations of Heteronuclear SystemsThe Journal of Chemical Physics, 1960
- Approximate diatomic orbitals for H2+Physica, 1957
- Approximate Molecular Orbitals II: The 2p uand 3d gStates of H2+Proceedings of the Physical Society. Section A, 1954
- The Ground State of the Hydrogen MoleculeThe Journal of Chemical Physics, 1933