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The Morse potential, named after physicist Philip M. Morse, is a convenient interatomic interaction model for the potential energy of a diatomic molecule.It is a better approximation for the vibrational structure of the molecule than the quantum harmonic oscillator because it explicitly includes the effects of bond breaking, such as the existence of unbound states.
This is a list of potential energy functions that are frequently used in quantum mechanics and have any meaning. ... Morse potential; Morse/Long-range potential;
The Morse potential has been applied to studies of molecular vibrations and solids, [22] and also inspired the functional form of more accurate potentials such as the bond-order potentials. Ionic materials are often described by a sum of a short-range repulsive term, such as the Buckingham pair potential , and a long-range Coulomb potential ...
An example is the Morse/Long-range potential. It is helpful to use the analogy of a landscape: for a system with two degrees of freedom (e.g. two bond lengths), the value of the energy (analogy: the height of the land) is a function of two bond lengths (analogy: the coordinates of the position on the ground).
The particle in a spherically symmetric potential. The hydrogen atom or hydrogen-like atom e.g. positronium; The hydrogen atom in a spherical cavity with Dirichlet boundary conditions [4] The Mie potential [5] The Hooke's atom; The Morse potential; The Spherium atom; Zero range interaction in a harmonic trap [6] Multistate Landau–Zener models [7]
The Morse/Long-range potential (MLR potential) is an interatomic interaction model for the potential energy of a diatomic molecule. Due to the simplicity of the regular Morse potential (it only has three adjustable parameters), it is very limited in its applicability in modern spectroscopy .
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The potential wells are shown favoring transitions with changes in ν. The Franck-Condon principle describes the intensities of vibronic transitions, or the absorption or emission of a photon. It states that when a molecule is undergoing an electronic transition, such as ionization, the nuclear configuration of the molecule experiences no ...