scholarly journals Effects of spacetime topology and curvature on the resonance interatomic energy

2018 ◽  
Vol 1138 ◽  
pp. 012015
Author(s):  
Wenting Zhou ◽  
Hongwei Yu
1965 ◽  
Vol 69 (5) ◽  
pp. 1740-1740 ◽  
Author(s):  
E. A. Moelwyn-Hughes

2007 ◽  
Vol 72 (2) ◽  
pp. 159-164 ◽  
Author(s):  
Teik-Cheng Lim

This paper relates the interatomic energy according to the Extended-Rydberg and the Generalized Buckingham potential functions by applying a Maclaurin series expansion on the latter and thereafter comparing it with the former. In so doing, the plotted curves of these two functions not only show equal curvature at the equilibrium state, but also reveal a discrepancy for the finite distortion. It is shown that, when equated at equilibrium, the Generalized Buckingham gives a lower energy in comparison to the Extended-Rydberg at finite bond compression and stretching. However, the energy difference diminishes when the interatomic distance exceeds twice that at equilibrium. Due to such discrepancies upon comparative normalization, it would be beneficial for computational chemists to select the appropriate potential function for the purpose of conservative molecular modeling. .


2019 ◽  
Vol 409 ◽  
pp. 167904 ◽  
Author(s):  
Juven Wang ◽  
Xiao-Gang Wen ◽  
Shing-Tung Yau

1994 ◽  
Vol 416 (2) ◽  
pp. 414-480 ◽  
Author(s):  
Paul S. Aspinwall ◽  
Brian R. Greene ◽  
David R. Morrison

2017 ◽  
Vol 119 (17) ◽  
Author(s):  
Pierre Doyeux ◽  
S. Ali Hassani Gangaraj ◽  
George W. Hanson ◽  
Mauro Antezza

2009 ◽  
Vol 64 (3-4) ◽  
pp. 200-204 ◽  
Author(s):  
Teik-Cheng Lim

Abstract The Lennard-Jones(12-6) and the Exponential-6 potential functions are commonly used in computational softwares for describing the van der Waals interaction energy. Some softwares allow switching between these two potentials under prescribed condition(s) that attempt to connect the parameter relationship between the two functions. Here we propose a technique by which the parameter relationship between both potentials is extracted by simultaneously imposing an equal force constant at the well depth’s minimum and an equal mean interatomic energy from the point of equilibrium to the point of total separation. The former imposition induces good agreement for the interatomic compression and a small change in the interatomic distance near the equilibrium while the latter enables good agreement for large interatomic separation. The excellent agreement exhibited by the plots validates the technique of combined criteria proposed herein


2021 ◽  
Vol 127 (16) ◽  
Author(s):  
J. Ambjørn ◽  
Z. Drogosz ◽  
J. Gizbert-Studnicki ◽  
A. Görlich ◽  
J. Jurkiewicz ◽  
...  
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