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The molecular orbital theory of chemical valency VIII. A method of calculating ionization potentials
Abstract
An analysis of the ‘linear combination of atomic orbitals’ approximation using the accurate molecular orbital equations shows that it does not lead to equations of the form usually assumed in the semi-empirical molecular orbital method. A new semi-empirical method is proposed, therefore, in terms of equivalent orbitals. The equations obtained, which do have the usual form, are applicable to a large class of molecules and do not involve the approximations that were thought necessary. In this method the ionization potentials are calculated by treating certain integrals as semi-empirical parameters. The value of these parameters is discussed in terms of the localization of equivalent orbitals and some approximate rules are suggested. As an illustration the ionization potentials of the paraffin series are considered and good agreement between the observed and calculated values is found.
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Citations
Cites
The electronic structure of some diatomic molecules
Lennard-Jones, J. E. (1929) · Transactions of the Faraday Society · doi:10.1039/tf9292500668 · Cited by 345
Cited by
An all-electron numerical method for solving the local density functional for polyatomic molecules
Delley, B. (1990) · The Journal of Chemical Physics · doi:10.1063/1.458452 · Cited by 10,536
Bannwarth, C., Ehlert, S., & Grimme, S. (2019) · Journal of Chemical Theory and Computation · doi:10.1021/acs.jctc.8b01176 · Cited by 4,399
Grimme, S., Bannwarth, C., & Shushkov, P. (2017) · Journal of Chemical Theory and Computation · doi:10.1021/acs.jctc.7b00118 · Cited by 2,022
The performance of a family of density functional methods
Johnson, B. G., Gill, P. M. W., & Pople, J. A. (1993) · The Journal of Chemical Physics · doi:10.1063/1.464906 · Cited by 1,924
Approximate Self-Consistent Molecular Orbital Theory. I. Invariant Procedures
Pople, J. A., Santry, D. P., & Segal, G. A. (1965) · The Journal of Chemical Physics · doi:10.1063/1.1701475 · Cited by 1,721
Metadata
- Authors
- Hall, G. G.
- Venue
- Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
- Publisher
- The Royal Society
- Published
- 1951-03-07
- Volume
- 205
- Issue
- 1083
- Pages
- 541-552
- ISSN
- 0080-4630 (ISSN-L)
- 2053-9169
- OpenAlex
- W1987592858
- Cited by
- 593
- References
- 1
- FWCI
- 3.94
- Type
- journal article
- Language
- en
- Open access
- closed
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- Hall, G. G. (1951). The molecular orbital theory of chemical valency VIII. A method of calculating ionization potentials. Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences. https://doi.org/10.1098/rspa.1951.0048
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