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

Abstract

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.

Authors:
;  [1]
  1. Center for Theoretical Studies of Physical Systems and the Department of Physics, Clark Atlanta University, Atlanta, Georgia 30314 (United States)
Publication Date:
OSTI Identifier:
7203739
Resource Type:
Journal Article
Journal Name:
Physical Review A; (United States)
Additional Journal Information:
Journal Volume: 50:4; Journal ID: ISSN 1050-2947
Country of Publication:
United States
Language:
English
Subject:
74 ATOMIC AND MOLECULAR PHYSICS; ATOMS; OSCILLATOR STRENGTHS; SODIUM; ENERGY-LEVEL TRANSITIONS; MOLECULES; MOMENTUM TRANSFER; STRENGTH FUNCTIONS; VALIDATION; ALKALI METALS; ELEMENTS; FUNCTIONS; METALS; TESTING; 664100* - Theory of Electronic Structure of Atoms & Molecules- (1992-)

Citation Formats

Chen, Z, and Msezane, A Z. Universal function and its application to the 2[ital p]-3[ital s] transition in sodium. United States: N. p., 1994. Web. doi:10.1103/PhysRevA.50.3517.
Chen, Z, & Msezane, A Z. Universal function and its application to the 2[ital p]-3[ital s] transition in sodium. United States. doi:10.1103/PhysRevA.50.3517.
Chen, Z, and Msezane, A Z. Sat . "Universal function and its application to the 2[ital p]-3[ital s] transition in sodium". United States. doi:10.1103/PhysRevA.50.3517.
@article{osti_7203739,
title = {Universal function and its application to the 2[ital p]-3[ital s] transition in sodium},
author = {Chen, Z and Msezane, A Z},
abstractNote = {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.},
doi = {10.1103/PhysRevA.50.3517},
journal = {Physical Review A; (United States)},
issn = {1050-2947},
number = ,
volume = 50:4,
place = {United States},
year = {1994},
month = {10}
}