Hydrogen-Atom Polarizability as a Hartree–Fock Perturbation Expansion: A Geometric Approximation to Atomic Polarizabilities

The hydrogen-atom dipole polarizability α is obtained by a double perturbation expansion based on a Hartree–Fock H0. The expansion α = α0 + λα1 + λ2α2 + ···, where λ is the continuous parameter for the Hartree–Fock perturbing potential, is found to be extremely close to a geometric series with αi+1 ...

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Bibliographic Details
Published in:The Journal of chemical physics 1968-01, Vol.49 (11), p.4845-4848
Main Authors: Schulman, J. M., Musher, J. I.
Format: Article
Language:English
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Summary:The hydrogen-atom dipole polarizability α is obtained by a double perturbation expansion based on a Hartree–Fock H0. The expansion α = α0 + λα1 + λ2α2 + ···, where λ is the continuous parameter for the Hartree–Fock perturbing potential, is found to be extremely close to a geometric series with αi+1 / αi = 0.433 ± 0.002. Computation of α as α0[1 − (α1 / α0)]−1 gives 4.499a03 in excellent agreement with the exact value 92a03. The origin of this geometric character is examined and its applicability to some many-electron polarizabilities is demonstrated empirically.
ISSN:0021-9606
1089-7690
DOI:10.1063/1.1669968