Thomas-Fermi Technique for Determining Wave Functions for Alkali Atoms with Excited Valence Electrons

Brudner, Harvey J.; Borowitz, Sidney

doi:10.1103/physrev.120.2053

Cited by 12 publications

(2 citation statements)

References 16 publications

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“…For alkali atoms, we have used the values given by Allen (1963), inferred from self-consistent field calculations of the ionic cores in their closed-shell ground states, Na + (2p 6 1 S) and Cs + (5p 6 1 S). Similar results for the charge density have been obtained, using the Thomas-Fermi statistical method, by Brudner and Borowitz (1960) and by Russek et al (1962) in an analytical form. For Mg with two electrons outside a closed shell, the core boundary of Mg + (2p 6 3s 2 S) cannot be estimated from one-configuration self-consistent field calculations, but its mean radius is of the order of its Coulombic value, r 3s ≈ 3 4 ν 2 3s , with the effective quantum number ν 3s = 1.90.…”

Section: Resultssupporting

confidence: 80%

Non-hydrogenic wavefunctions in momentum space

Binh¹,

Regemorter²

1997

J. Phys. B: At. Mol. Opt. Phys.

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Quantum defect theory is applied to the calculation of non-hydrogenic radial wavefunctions in the momentum space representation, given in the form of Hankel transform integrals of the position space functions in the Coulomb approximation. It is shown that, even for low excited states, the momentum space functions for important values of the momentum are insensitive to the inner-core region of the atom. Analytical expressions are presented and illustrative examples are given for some Rydberg states in sodium, magnesium and caesium.

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Section: Resultssupporting

confidence: 80%

Non-hydrogenic wavefunctions in momentum space

Binh¹,

Regemorter²

1997

J. Phys. B: At. Mol. Opt. Phys.

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“…The core radius of the atomic sodium calculated with Thomas-Fermi approximation is 1.85 a.u. [38] The boundary radius of the configuration space should not be less than this radius because most of the important orbitals will be outside of the target atoms shown in Fig. 1.…”

Section: (B)mentioning

confidence: 99%

An alternative view of condensed-phase photoionization

Ma¹,

Yang²,

Gong³

et al. 2009

Chinese Phys. B

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This paper proposes an accurate valuable interpretation scheme to study the evolvement of the photoionization processes from the isolated to the condensed atoms by a unique ab initio method. The variations of the photoionization cross sections of the atomic sodium with the photoelectron energy and the boundary radius of the atomic configuration space are studied in this new scheme by the R-matrix method. The discrepancy in the photoionization spectra of the isolated and the condensed sodium has been explained quantitatively and understood successfully by this alternative view in detail for the first time.

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Self-consistent calculation of the electrostatic potentials of atoms and ions

Sabirov

1984

Soviet Physics Journal

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Thomas-Fermi Technique for Determining Wave Functions for Alkali Atoms with Excited Valence Electrons

Cited by 12 publications

References 16 publications

Non-hydrogenic wavefunctions in momentum space

Non-hydrogenic wavefunctions in momentum space

An alternative view of condensed-phase photoionization

Self-consistent calculation of the electrostatic potentials of atoms and ions

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