Universal function and its application to the 2[ital p]-3[ital s] transition in sodium

Journal Article · Sat Oct 01 04:00:00 EDT 1994 · Physical Review A; (United States)

DOI:https://doi.org/10.1103/PhysRevA.50.3517· OSTI ID:7203739

Chen, Z; Msezane, A Z ^[1]

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1. Center for Theoretical Studies of Physical Systems and the Department of Physics, Clark Atlanta University, Atlanta, Georgia 30314 (United States)

The expansion of the universal function in terms of the momentum transfer squared, [ital K][sup 2], has been investigated. We find that in the region of [ital K][sup 2][much lt]1 a.u. both the Born approximation and the universal function yield a linear relationship between the generalized oscillator strength (GOS) and [ital K][sup 2], thus establishing the validity of the universal function for use in extrapolating the GOS through the unphysical region to the optical oscillator strength. As an illustration, the GOS for the inner-shell transition 2[ital p]-3[ital s] of sodium has been calculated using Hartree-Fock atomic orbitals and the universal function, and compared with measurement at 1000 eV. For 0.0[lt][ital K][sup 2][lt]0.01 a.u. the universal function merges with the Born approximation, and shows a correct asymptotic behavior. At 0.1[lt][ital K][sup 2][lt]0.4 a.u., the Born approximation fails to reproduce the measurement, while the universal function agrees excellently with the experimental data.

• OSTI ID: 7203739
• Journal Information: Physical Review A; (United States), Journal Name: Physical Review A; (United States) Vol. 50:4; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

664100* -- Theory of Electronic Structure of Atoms & Molecules-- (1992-)
74 ATOMIC AND MOLECULAR PHYSICS
ALKALI METALS
ATOMS
ELEMENTS
ENERGY-LEVEL TRANSITIONS
FUNCTIONS
METALS
MOLECULES
MOMENTUM TRANSFER
OSCILLATOR STRENGTHS
SODIUM
STRENGTH FUNCTIONS
TESTING
VALIDATION