Simple analytical functional forms for the electron density of two-and Ž . three-electron atoms which reproduce fairly the correlated exact values are presented. Ž . The procedure is based on the fitting of an auxiliary f r function which has adequate properties for this purpose and can be extended
Electron correlation study for two-electron atoms by a simple correlated wave function
✍ Scribed by Takashi Kagawa; Tomokazu Murai
- Publisher
- John Wiley and Sons
- Year
- 1974
- Tongue
- English
- Weight
- 389 KB
- Volume
- 8
- Category
- Article
- ISSN
- 0020-7608
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✦ Synopsis
Abstract
The difference in the electron correlation between H^‐^ and other two‐electron atoms is clarified by the introduction of the r~12~ term in the wave function. By using the expansion of r~12~, a certain modification of the usual electron correlation factor 1 + Cr~12~ is introduced and its effectiveness is examined. Calculations are carried out for the ground state and the three lowest excited states (2^3^S, 2^3^P and 2^1^P). The peculiar electron correlation in the ground state of H^−^ is shown by looking at the Coulomb hole for closed‐ and open‐shelf models in comparison with those for other two‐electron atoms.
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Variational calculations were oerformed on the ground state of He and Oe. The confirmration interaction wavefunctions containing s, p\_ d I&l f orbitals nre~nultiplied by the correlation factor (is+ '~~12). The best energies obtained are -2.903Gl and -59.1562 au. respectively. The s and p energy imp