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.
Keywords
Affiliated Institutions
Related Publications
What Do the Kohn−Sham Orbitals and Eigenvalues Mean?
Kohn−Sham orbitals and eigenvalues are calculated with gradient-corrected functionals for a set of small molecules (H2O, N2, CrH66-, and PdCl42-), varying basis sets and functio...
A new computational approach to Slater’s SCF–<i>X</i>α equation
A new computational scheme is presented for the performance of LCAO−MO calculations in the SCF−Xα model. The scheme is intended to be applicable for large systems and to be more...
<i>A</i> <i>b</i> <i>i</i> <i>n</i> <i>i</i> <i>t</i> <i>i</i> <i>o</i> effective core potentials including relativistic effects. V. SCF calculations with ω–ω coupling including results for Au2+, TlH, PbS, and PbSe
A b initio self-consistent field calculations are reported for a series of diatomic molecules using relativistic effective core potentials (REP) and basis sets appropriate for ω...
Self—Consistent Molecular Orbital Methods. XII. Further Extensions of Gaussian—Type Basis Sets for Use in Molecular Orbital Studies of Organic Molecules
Two extended basis sets (termed 5–31G and 6–31G) consisting of atomic orbitals expressed as fixed linear combinations of Gaussian functions are presented for the first row atoms...
Improved <i>a</i> <i>b</i> <i>i</i> <i>n</i> <i>i</i> <i>t</i> <i>i</i> <i>o</i> effective core potentials for molecular calculations
We have investigated the sources of error in bond lengths and dissociation energies computed from ab initio effective potentials derived from Phillips–Kleinman type pseudo-orbit...
Publication Info
- Year
- 1951
- Type
- article
- Volume
- 205
- Issue
- 1083
- Pages
- 541-552
- Citations
- 577
- Access
- Closed
External Links
Social Impact
Social media, news, blog, policy document mentions
Citation Metrics
Cite This
Identifiers
- DOI
- 10.1098/rspa.1951.0048