On the Validity of Tietz Potential Functions for Diatomic Molecules

1972 ◽  
Vol 50 (5) ◽  
pp. 428-430 ◽  
Author(s):  
S. B. Rai ◽  
V. N. Sharma ◽  
D. K. Rai
Keyword(s):  
Potential Energy ◽  
Diatomic Molecules ◽  
Potential Functions ◽  
Potential Energy Curves ◽  
Energy Functions ◽  
Potential Energy Functions ◽  
Tietz Potential

The potential energy curves for several diatomic molecules have been calculated by using Tietz potential energy functions and the values thus obtained have been compared with that of RKRV. It is found that in some cases this empirical form is a good approximation to the true curve.

Approximations for the inner branch of potential curves of diatomic molecules

1988 ◽  
Vol 66 (4) ◽  
pp. 763-766 ◽  
Author(s):  
Y. P. Varshni
Keyword(s):  
Potential Energy ◽  
Diatomic Molecules ◽  
The Other ◽  
Potential Curve ◽  
Energy Functions ◽  
Potential Energy Functions ◽  
Potential Curves

Three potential energy functions are examined with respect to their ability to reproduce the inner branch of the potential curve for 43 molecular states. Two of the states turn out to be unusual. In the remaining 41 cases, it is found that a potential proposed by the author gives the least error in 28 cases and is close to the least error in another six. The potential curves of NaAr(X) and XeCl(X) are very different from those of the other 41 states considered in this paper. The Born–Mayer potential appears to provide a reasonable representation of the inner branch of the potential curve for XeCl(X).

Modeling of Elastically Coupled Bodies: Part I—General Theory and Geometric Potential Function Method

1998 ◽  
Vol 120 (4) ◽  
pp. 496-500 ◽  
Author(s):  
Ernest D. Fasse ◽  
Peter C. Breedveld
Keyword(s):  
General Theory ◽  
Potential Energy ◽  
Potential Function ◽  
Geometric Modeling ◽  
Function Method ◽  
Rigid Bodies ◽  
Potential Functions ◽  
Energy Functions ◽  
Automatic Computation ◽  
Potential Energy Functions

This paper looks at spatio-geometric modeling of elastically coupled rigid bodies. Desirable properties of compliance families are defined (sufficient diversity, parsimony, frame-indifference, and port-indifference). A novel compliance family with the desired properties is defined using geometric potential energy functions. The configuration-dependent wrenches corresponding to these potential functions are derived in a form suitable for automatic computation.

Erratum: Potential Energy Functions for Diatomic Molecules

1961 ◽  
Vol 35 (5) ◽  
pp. 1901-1901 ◽  
Author(s):  
Hugh M. Hulburt ◽  
Joseph O. Hirschfelder
Keyword(s):  
Potential Energy ◽  
Diatomic Molecules ◽  
Energy Functions ◽  
Potential Energy Functions

Potential Energy Functions for Diatomic Molecules

1941 ◽  
Vol 9 (1) ◽  
pp. 61-69 ◽  
Author(s):  
Hugh M. Hulburt ◽  
Joseph O. Hirschfelder
Keyword(s):  
Potential Energy ◽  
Diatomic Molecules ◽  
Energy Functions ◽  
Potential Energy Functions
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