Equivalence of the deformed Rosen-Morse potential energy model and Tietz potential energy model

被引：32

作者：

Jia, Chun-Sheng ^{[1
]}

Chen, Tao ^{[2
]}

Yi, Liang-Zhong ^{[3
]}

Lin, Shu-Rong ^{[2
]}

机构：

[1] Southwest Petr Univ, State Key Lab Oil & Gas Reservoir Geol & Exploita, Chengdu 610500, Peoples R China

[2] Sichuan Agr Univ, Life & Phys Sci Coll, Yaan 625014, Sichuan, Peoples R China

[3] Sichuan Police Coll, Luzhou 646000, Sichuan, Peoples R China

来源：

JOURNAL OF MATHEMATICAL CHEMISTRY | 2013年 / 51卷 / 08期

基金：

中国国家自然科学基金;

关键词：

Deformed Rosen-Morse potential model; Tietz potential model; Morse potential model; DIATOMIC-MOLECULES; VIBRATIONAL LEVELS; BOUND-STATES; MECHANICS; EQUATION; EXPRESSIONS; OSCILLATOR; DYNAMICS;

D O I：

10.1007/s10910-013-0204-1

中图分类号：

O6 [化学];

学科分类号：

0703 ;

摘要：

By applying the dissociation energy and the equilibrium bond length for a diatomic molecule as explicit parameters, we generate an improved expression for the deformed Rosen-Morse potential energy model. It is found that the deformed Rosen-Morse potential model and the well-known Tietz potential model are the same empirical potential function for diatomic molecules. With the help of the energy spectrum expression of the deformed Rosen-Morse potential model, we obtain exact closed-form expressions of diatomic anharmonicity constants and .

引用

页码：2165 / 2172

页数：8

共 39 条

[1] [Anonymous], PHYS REV A
[2] EXACTLY SOLVABLE SUPERSYMMETRIC QUANTUM-MECHANICS
ARAI, A
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1991, 158 (01) : 63 - 79
[3] ISOTOPIC DEPENDENCE OF BORN-OPPENHEIMER BREAKDOWN EFFECTS IN DIATOMIC HYDRIDES - THE X1-SIGMA+ STATES OF HI DI AND HBR DBR
COXON, JA
HAJIGEORGIOU, PG
[J]. JOURNAL OF MOLECULAR SPECTROSCOPY, 1991, 150 (01) : 1 - 27
[4] Morse stretch potential charge equilibrium force field for ceramics:: Application to the quartz-stishovite phase transition and to silica glass
Demiralp, E
Çagin, T
Goddard, WA
[J]. PHYSICAL REVIEW LETTERS, 1999, 82 (08) : 1708 - 1711
[5] Deng Z.H., 1957, Shandong Univ. J., V7, P162
[6] Anharmonic Coupling in Molecular Dynamics Simulations of Ligand Vibrational Relaxation in Bound Carbonmonoxy Myoglobin
Devereux, Michael
Meuwly, Markus
[J]. JOURNAL OF PHYSICAL CHEMISTRY B, 2009, 113 (39) : 13061 - 13070
[7] The energy levels of a rotating vibrator
Dunham, JL
[J]. PHYSICAL REVIEW, 1932, 41 (06): : 721 - 731
[8] Exact solutions of the Schrodinger equation for two deformed hyperbolic molecular potentials
Egrifes, H
Demirhan, D
Büyükkiliç, F
[J]. PHYSICA SCRIPTA, 1999, 60 (03): : 195 - 198
[9] Solution of the Dirac Equation with Position-Dependent Mass for q-Parameter Modified Poschl-Teller and Coulomb-like Tensor Potential
Eshghi, M.
Mehraban, H.
[J]. FEW-BODY SYSTEMS, 2012, 52 (1-2) : 41 - 47
[10] Effect of thermal annealing on nanoimprinted Cu-Ni alloys using molecular dynamics simulation
Fang, Te-Hua
Wu, Cheng-Da
Chang, Win-Jin
Chi, Sung-Shui
[J]. APPLIED SURFACE SCIENCE, 2009, 255 (11) : 6043 - 6047

← 1 2 3 4 →