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 innershell transition 2[ital p]3[ital s] of sodium has been calculated using HartreeFock 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:

 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 10502947
 Country of Publication:
 United States
 Language:
 English
 Subject:
 74 ATOMIC AND MOLECULAR PHYSICS; ATOMS; OSCILLATOR STRENGTHS; SODIUM; ENERGYLEVEL 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 innershell transition 2[ital p]3[ital s] of sodium has been calculated using HartreeFock 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 = {10502947},
number = ,
volume = 50:4,
place = {United States},
year = {1994},
month = {10}
}