Morse potential


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Morse potential

[′mȯrs pə‚ten·chəl]
(physical chemistry)
An approximate potential associated with the distance r between the nuclei of a diatomic molecule in a given electronic state; it is V (r) = D {1 - exp[ -a (r-re )]}2, where re is the equilibrium distance, D is the dissociation energy, and a is a constant.
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A program is available for these calculations free of charge with the corresponding author, with applications on the six potential energy curves: Morse potential, Lenard Jones potential, RKR potential, ab initio potential, Simon-Parr-Finlin (Kratzer) potential, and Dunhum potential.
Solution of the Rovibrational Schrodinger Equation of a Molecule Using the Volterra Integral Equation
Morse potential is assumed to describe the single-pair atomic interaction included in the derived anharmonic interatomic effective potential.
Thermodynamic Properties and Anharmonic Effects in XAFS Based on Anharmonic Correlated Debye Model Debye-Waller Factors
When Morse potential [[omega].sup.(1)](r) = -([gamma]/2)[e.sup.-r] - m - [lambda]/2 + 1/2 - k/r and 3-dimensional oscillator potential [[omega].sup.(2)](r) = ([gamma]/4)r - ([lambda] + m - 1/2)(2/r) - k/r are considered as the gauge field potentials, the upper spinor components are associated with generalized Laguerre polynomials.
Spinors and Rodrigues Representations Associated with Orthogonal Polynomials
The Morse potential has many unique analytic properties, which makes it especially suitable for modelling.
Complete solution of the Marchenko equation for a simple model system/Martsenko vorrandi taielik lahendus lihtsa mudelsusteemi jaoks
To avoid the influence of equivalent potential functions, the two-body Morse potential is adopted to simulate the interaction between the carbon atoms in diamond indenter and silicon atoms in the specimen.
Molecular dynamics simulation of the crystal orientation and temperature influences in the hardness on monocrystalline silicon
where [r.sub.ij] is the distance between the ith and jth atoms, and [r.sub.e,ij], [D.sub.e,ij], and [B.sub.ij] are parameters associated with a Morse potential for the isolated i-j diatom, which are adjusted by experimental data.
Effects of the vibrational motion of [XHY.sup.-] on the post-photo detachment dissociation dynamics of the XHY complex (X, Y = Br, I)
One aim of our work is the calculation of matrix elements for the Morse potential:
Matrix elements for the morse and coulomb interactions
[16] to incorporate the modified Morse potential function [17], to estimate elastic constants and stress-strain relationships of nanotubes under tensile and torsion loadings.
Nanomechanics of single-walled carbon nanotubes as composite reinforcement
In this section, we demonstrate the viability of the canonical algebra as discussed in Section 2 for obtaining energy eigenvalue and eigenfunctions for q-deformed Morse potential. The time-independent Schrodinger equation is given by
Q-Deformed Morse and Oscillator Potential
We also have in mind that the inter-site Morse potential favours the excitation of soliton-like modes.
Wave motions along lattices with nonlinear on-site and inter-site potentials. Cooperation and/or competition leading to lattice solitons and/or discrete breathers/Lainelevi mittelineaarsete potentsiaalidega vores
Han, "Any l-state solutions of the Morse potential through the Pekeris approximation and Nikiforov-Uvarov method," Chemical Physics Letters, vol.
The scattering and bound states of the Schrodinger particle in generalized asymmetric Manning-Rosen type potential
Berkdemir, "Pseudospin symmetry in the relativistic Morse potential including the spin-orbit coupling term," Nuclear Physics A, vol.
Hulthen and Coulomb-like potentials as a tensor interaction within the relativistic symmetries of the Manning-Rosen potential

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