Potential Energy Function and Vibrational States of the Electronic Ground State of N4+

1999 ◽  
Vol 103 (12) ◽  
pp. 1846-1852 ◽  
Author(s):  
Celine Léonard ◽  
Pavel Rosmus ◽  
Stuart Carter ◽  
Nicholas C. Handy
Keyword(s):  
Potential Energy ◽  
Ground State ◽  
Energy Function ◽  
Potential Energy Function ◽  
Electronic Ground State ◽  
Vibrational States ◽  
Electronic Ground

A refined potential energy function for the electronic ground state of H2Se

2004 ◽  
Vol 227 (1) ◽  
pp. 1-12 ◽  
Author(s):  
O.N. Ulenikov ◽  
E.S. Bekhtereva ◽  
N.A. Sanzharov ◽  
Per Jensen
Keyword(s):  
Potential Energy ◽  
Ground State ◽  
Energy Function ◽  
Potential Energy Function ◽  
Electronic Ground State ◽  
Electronic Ground

scholarly journals Structure and potential energy function of the ground state of XY(H, Li, Na)

2006 ◽  
Vol 55 (5) ◽  
pp. 2175
Author(s):  
Geng Zhen-Duo ◽  
Fan Xiao-Wei ◽  
Zhang Yan-Song
Keyword(s):  
Potential Energy ◽  
Ground State ◽  
Energy Function ◽  
Potential Energy Function

Some Properties of a Quartic Potential with a Finite Binding Energy

1978 ◽  
Vol 33 (12) ◽  
pp. 1581-1587
Author(s):  
R. N. Kesarwani ◽  
Y. P. Varshni
Keyword(s):  
Binding Energy ◽  
Potential Energy ◽  
Energy Function ◽  
Interparticle Distance ◽  
Potential Energy Function ◽  
Vibrational States ◽  
Third Order ◽  
Quartic Potential ◽  
The Third ◽  
Range Of Values

Abstract A potential energy function is proposed which exhibits a quartic dependence on (r - re), where re is the equilibrium interparticle distance, in the neighbourhood of re, and has a finite binding energy. To study the pattern of the eigenvalues, the WKBJ method is applied to the third order, and the relevant integrals are evaluated analytically. Results are shown graphically for a few sets of parameters. The number of vibrational states that the potential can support is determined for a range of values of the parameters. Some suggestions as to the possible applications of the proposed potential are also made.

On a Universal Potential Energy Function and the Importance of Ionic Structures for the Ground State of Molecules

1982 ◽  
Vol 37 (9) ◽  
pp. 971-981 ◽  
Author(s):  
G. Van Hooydonk
Keyword(s):  
Potential Energy ◽  
Ground State ◽  
Energy Function ◽  
Potential Energy Function ◽  
Covalent Bonding ◽  
Dissociation Energies ◽  
Reasonable Approximation ◽  
Ionic Dissociation ◽  
Vibrational Levels ◽  
Better Than

Abstract The Kratzer-Fues-Varshni-V-potential, applied to ionic dissociation energies, is shown to yield rather accurate potential energy curves in the bonding region for H2, HF, LiH, Li2 and LiF. Vibrational levels, calculated by this ionic approximation to the ground state of widely differing molecules, nearly coincide with RKR-data. At the repulsive side of the curve and up to 2re, the agreement with RKR-curves is even better than for Morse's curve, also for the "covalent" molecules H2 and Li2. Calculated spectroscopical constants αe and ωeχe are far better than those calculated with Morse's function. Even the existence of a maximum in the potential curve at larger r-values seems not in confict with an ionic approximation. From the universal character of the function used, it is concluded that a reasonable approximation for the ground state of all molecules considered is one in terms of ionic structures, even for H2 and especially for Li2. According to the present results, the term “covalent bonding” seems to be definitely superfluous, as the usually made distinction between ionic and covalent bonding is more appearant than real.

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