By employing the dissociation energy and the equilibrium bond length for a diatomic molecule as explicit parameters, we generate improved expressions for the well-known Rosen-Morse, Manning-Rosen, Tietz, and Frost-Musulin potential energy functions. It is found that the well-known Tietz potential function that is conventionally defined in terms of five parameters T. Tietz, J. Chem. Phys. 38, 3036 (1963)10.1063/1.1733648 actually only has four independent parameters. It is shown exactly that the Wei Phys. Rev. A 42, 2524 (1990)10.1103/PhysRevA.42.2524 and the well-known Tietz potential functions are the same solvable empirical function. When the parameter h in the Tietz potential function has the values 0, +1, and −1, the Tietz potential becomes the standard Morse, Rosen-Morse, and Manning-Rosen potentials, respectively.
%0 Journal Article
%1 jia:014101
%A Jia, Chun-Sheng
%A Diao, Yong-Feng
%A Liu, Xiang-Jun
%A Wang, Ping-Quan
%A Liu, Jian-Yi
%A Zhang, Guang-Dong
%D 2012
%I AIP
%J The Journal of Chemical Physics
%K diatomic energy function mechanics physics potential quantum
%N 1
%P 014101
%R 10.1063/1.4731340
%T Equivalence of the Wei potential model and Tietz potential model for diatomic molecules
%U http://link.aip.org/link/?JCP/137/014101/1
%V 137
%X By employing the dissociation energy and the equilibrium bond length for a diatomic molecule as explicit parameters, we generate improved expressions for the well-known Rosen-Morse, Manning-Rosen, Tietz, and Frost-Musulin potential energy functions. It is found that the well-known Tietz potential function that is conventionally defined in terms of five parameters T. Tietz, J. Chem. Phys. 38, 3036 (1963)10.1063/1.1733648 actually only has four independent parameters. It is shown exactly that the Wei Phys. Rev. A 42, 2524 (1990)10.1103/PhysRevA.42.2524 and the well-known Tietz potential functions are the same solvable empirical function. When the parameter h in the Tietz potential function has the values 0, +1, and −1, the Tietz potential becomes the standard Morse, Rosen-Morse, and Manning-Rosen potentials, respectively.
@article{jia:014101,
abstract = {By employing the dissociation energy and the equilibrium bond length for a diatomic molecule as explicit parameters, we generate improved expressions for the well-known Rosen-Morse, Manning-Rosen, Tietz, and Frost-Musulin potential energy functions. It is found that the well-known Tietz potential function that is conventionally defined in terms of five parameters [T. Tietz, J. Chem. Phys. 38, 3036 (1963)10.1063/1.1733648] actually only has four independent parameters. It is shown exactly that the Wei [Phys. Rev. A 42, 2524 (1990)]10.1103/PhysRevA.42.2524 and the well-known Tietz potential functions are the same solvable empirical function. When the parameter h in the Tietz potential function has the values 0, +1, and −1, the Tietz potential becomes the standard Morse, Rosen-Morse, and Manning-Rosen potentials, respectively.},
added-at = {2012-08-10T21:47:46.000+0200},
author = {Jia, Chun-Sheng and Diao, Yong-Feng and Liu, Xiang-Jun and Wang, Ping-Quan and Liu, Jian-Yi and Zhang, Guang-Dong},
biburl = {https://www.bibsonomy.org/bibtex/278254d435316d12fec82299b26789d1c/drmatusek},
doi = {10.1063/1.4731340},
eid = {014101},
interhash = {38c4b893df3ff5b52e8fbfb405e5b80e},
intrahash = {78254d435316d12fec82299b26789d1c},
journal = {The Journal of Chemical Physics},
keywords = {diatomic energy function mechanics physics potential quantum},
month = jul,
number = 1,
numpages = {4},
pages = 014101,
publisher = {AIP},
timestamp = {2013-05-30T16:18:59.000+0200},
title = {Equivalence of the Wei potential model and Tietz potential model for diatomic molecules},
url = {http://link.aip.org/link/?JCP/137/014101/1},
volume = 137,
year = 2012
}