VIBRATIONAL POTENTIAL REPRESENTATION FOR THE X AND A ELECTRONIC STATES OF $N_{2^{*}}$
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Date
1985
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Journal ISSN
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Publisher
Ohio State University
Abstract
Rational fractions in nuclear separation R have been used to represent the RKR potential V(R) - V($\infty$) for the ground state of $N_{2}$. Variable parameters are adjusted to the best available $C_{6}$ in the long-range $C_{6}/R$6 form, to the Coulomb interaction $7 \times 7e^{2}/R$ near R=O, and to the RKR V for the 22 lowest-lying vibrational energy levels. The simplest suitable form, a [1/7] fraction, appears to represent V(R) as accurately as the RKR procedure warrants. Without fitting, V($\infty$) is 2.6% higher than the experimental dissociation limit. With V($\infty$) set equal to $79,850 cm^{-1}$, all bound vibrational energies are determined in the first-order WBK approximation. In this approximation there are 63 bound levels. A [1/7] fraction adjusted to the same $C_{6}$ and to a Coulomb pole with nuclear charge Z=7 at R=O, fits the A-state RKR potential as accurately as data warrant. With V($\infty$) fixed at $29,640 cm^{-1}$, 38 bound vibrational energies are extracted by WBK intergration. The v=37 level is within $2 cm^{-1}$ of the dissociation limit.
Description
$^{*}$Supported in part by the Air Force Weapons Laboratory, Kirtland Air Force Base under Contract No. F29601-84-K-0038.
Author Institution: Department of Physics and Astronomy, The University of New Mexico
Author Institution: Department of Physics and Astronomy, The University of New Mexico