Obtaining the Varshni potential function using the 2-body Kaxiras–Pandey parameters

A generalized version of the Varshni potential function was adopted by Kaxiras and Pandey for describing the 2-body energy portion of multi-body condensed matter. The former’s simplicity and resemblance to a Morse potential allows faster computation while the latter’s greater number of parameters al...

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Main Author: TEIK-CHENG LIM
Format: Article
Language:English
Published: Serbian Chemical Society 2009-12-01
Series:Journal of the Serbian Chemical Society
Subjects:
Online Access:http://www.shd.org.rs/JSCS/Vol74/No12/08_4471_3929.pdf
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author TEIK-CHENG LIM
author_facet TEIK-CHENG LIM
author_sort TEIK-CHENG LIM
collection DOAJ
description A generalized version of the Varshni potential function was adopted by Kaxiras and Pandey for describing the 2-body energy portion of multi-body condensed matter. The former’s simplicity and resemblance to a Morse potential allows faster computation while the latter’s greater number of parameters allows better curve-fitting of spectroscopic data. This paper shows one set of parameter conversion from the Varshni function to the 2-body portion of the Kaxiras–Pandey function, and vice versa two sets of parameter conversion. The latter two sets reveal good correlation between plotted curves, and were verified by the imposition of equal energy curvatures at equilibrium and equal energy integral from equilibrium to dissociation. These parameter conversions can also be attained more easily by equating the product of indices (for short range) and the summation of index reciprocals (for long range).
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spelling doaj.art-01db4b12c84041e787602fd8a3d6bdcb2022-12-22T03:17:25ZengSerbian Chemical SocietyJournal of the Serbian Chemical Society0352-51392009-12-01741214231428Obtaining the Varshni potential function using the 2-body Kaxiras–Pandey parametersTEIK-CHENG LIMA generalized version of the Varshni potential function was adopted by Kaxiras and Pandey for describing the 2-body energy portion of multi-body condensed matter. The former’s simplicity and resemblance to a Morse potential allows faster computation while the latter’s greater number of parameters allows better curve-fitting of spectroscopic data. This paper shows one set of parameter conversion from the Varshni function to the 2-body portion of the Kaxiras–Pandey function, and vice versa two sets of parameter conversion. The latter two sets reveal good correlation between plotted curves, and were verified by the imposition of equal energy curvatures at equilibrium and equal energy integral from equilibrium to dissociation. These parameter conversions can also be attained more easily by equating the product of indices (for short range) and the summation of index reciprocals (for long range).http://www.shd.org.rs/JSCS/Vol74/No12/08_4471_3929.pdfderivativeintegralKaxiras–Pandeyparameter conversionpotential functionVarshni
spellingShingle TEIK-CHENG LIM
Obtaining the Varshni potential function using the 2-body Kaxiras–Pandey parameters
Journal of the Serbian Chemical Society
derivative
integral
Kaxiras–Pandey
parameter conversion
potential function
Varshni
title Obtaining the Varshni potential function using the 2-body Kaxiras–Pandey parameters
title_full Obtaining the Varshni potential function using the 2-body Kaxiras–Pandey parameters
title_fullStr Obtaining the Varshni potential function using the 2-body Kaxiras–Pandey parameters
title_full_unstemmed Obtaining the Varshni potential function using the 2-body Kaxiras–Pandey parameters
title_short Obtaining the Varshni potential function using the 2-body Kaxiras–Pandey parameters
title_sort obtaining the varshni potential function using the 2 body kaxiras pandey parameters
topic derivative
integral
Kaxiras–Pandey
parameter conversion
potential function
Varshni
url http://www.shd.org.rs/JSCS/Vol74/No12/08_4471_3929.pdf
work_keys_str_mv AT teikchenglim obtainingthevarshnipotentialfunctionusingthe2bodykaxiraspandeyparameters