The exact analytic first-order wavefunction of an H atom in the field of a proton obtained from the unsymmetrized perturbation theory as calculated in 1957 by Dalgamo and Lynn is used to calculate the exchange energy of Hz with the Holstein-Herring method. The asymptotic exchange energy obtained fro
A simple method for calculating the exchange energy for H2+ from polarization perturbation theory
β Scribed by K.T. Tang; J.P. Toennies; C.L. Yiu
- Publisher
- Elsevier Science
- Year
- 1989
- Tongue
- English
- Weight
- 204 KB
- Volume
- 162
- Category
- Article
- ISSN
- 0009-2614
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β¦ Synopsis
The exchange energy between two atoms has been expressed in terms of a flux integral over a localized wavefunction by Holstein and Herring. By approximating this wavefunction to first order in polarization perturbation theory (Rayleigh-Schrijdinger theory) it is possible to calculate the exchange energy at large internuclear distances. The procedure is illustrated by a calculation for H$ . The total exchange energy is found to be in excellent agreement with the exact results at large R and good agreement within 11% is found down to R = 2 au.
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