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

Autor:	J. M. Schulman, J. I. Musher
Rok vydání:	1968
Předmět:	Physics Hydrogen Hartree–Fock method General Physics and Astronomy chemistry.chemical_element Hydrogen atom Polarization (waves) Dipole chemistry Geometric series Polarizability Atomic theory Physics::Atomic Physics Physical and Theoretical Chemistry Atomic physics
Zdroj:	The Journal of Chemical Physics. 49:4845-4848
ISSN:	1089-7690 0021-9606
DOI:	10.1063/1.1669968
Popis:	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.
Databáze:	OpenAIRE
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