Pdf on the morse potential in liquid phase and at liquid. The relationship between lennardjones 126 and morse. Morse, is a convenient interatomic interaction model for the potential energy of a diatomic molecule. This approach has the advantage of being more flexible than the simple morse potential while preserving the correct asymptotical behavior. Riccati nonhermiticity with application to the morse potential o. Usually the morse potential is studied in the quantum mechanics context. The morse function, which is normally applied for quantifying 2body interactions, has been adopted in one software.
Canonical molecular dynamics simulations have been performed to calculate thermodynamic properties in the liquid phase and at the liquidvapor interface for fluids interacting by morse potential. Generally, this effective potential shows a valley followed by a potential barrier which will then have two major effects. The morse potential, named after physicist philip m. Potosinian institute of science and technology, apdo postal 374 tangamanga, 78231 san luis potos, mexico.
Hence, the harmonic frequency for motion near the minimum. Por outro lado, ele e relativamente pouco aplicado em problemas classicos. To describe the vibrational spectra of diatomic molecules the potential curve v r is approximated by a sum of three morse functions. The mlr potential is a modern version of the morse potential which has the correct theoretical longrange form of the potential. O potencial morse, nomeado em homenagem a philip m. Due to the simplicity of the regular morse potential it only has three adjustable parameters, it is not used in modern spectroscopy. Potencial morse azul e potencial do oscilador harmonico verde. Potencial magnetico by luis enrique espinosa on prezi.
Riccati nonhermiticity with application to the morse potential. The form of the morse potential, in terms of the internuclear distance, is d 1 e 0 r r r0 2 where r 0 is the equilibrium internuclear distance. On the morse potential in liquid phase and at liquidvapor. In this work, a complete solution for the classical equation. Pdf usually the morse potential is studied in the quantum mechanics context.
It is a better approximation for the vibrational structure of the molecule than the qho quantum harmonic oscillator because it explicitly includes the effects of bond breaking, such as the existence of unbound states. Eigen spectra for woodssaxon plus rosenmorse potential. On the other hand, there are relatively few applications for. For the inverted morse potentials where v0 morselong range potential mlr potential is a interatomic interaction model for the potential energy of a diatomic molecule. The pt and non pt symmetric solutions for this potential are also presented.
Schrodinger equation, woodssaxon potential, rosenmorse potential. Introduction the morse potential has been widely used for studying melting transition and laser ablation processes in. This paper deals with the validity of the morse function for nonbonded interactions by means of obtaining a relationship between the morse and the lennardjones 126 potential functions. Furthermore, such a sum potential can give rise to a small threshold above dissociation energy, as it.
Analytical solution of the morse potential in classical mechanics. On the other hand, there are relatively few applications for classical problems. A generalization of the morse potential for diatomic molecules. Furthermore, such a sum potential can give rise to a small threshold above dissociation energy, as it occurs, e. Notice in figure 1 that the energy levels of the harmonic oscillator decrease as the \box expands to the size of the morse or \real potential. A generalization of the morse potential for diatomic.
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