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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 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 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 ...
The Morse potential (blue) and harmonic oscillator potential (green). The potential at infinite internuclear distance is the dissociation energy for pure vibrational spectra. For vibronic spectra there are two potential curves (see Figure at right), and the dissociation limit is the upper state energy at infinite distance.
a parallelism that explains the potential's name. The most prominent application concerns the (+,,) parametrization, with non-negative integer, and is due to Schrödinger [3] who intended to formulate the hydrogen atom problem on Albert Einstein's closed universe, , the direct product of a time line with a three-dimensional closed space of positive constant curvature, the hypersphere, and ...
The notion of a Morse function can be generalized to consider functions that have nondegenerate manifolds of critical points. A Morse–Bott function is a smooth function on a manifold whose critical set is a closed submanifold and whose Hessian is non-degenerate in the normal direction. (Equivalently, the kernel of the Hessian at a critical ...
Part of force field of ethane for the C-C stretching bond. In the context of chemistry, molecular physics, physical chemistry, and molecular modelling, a force field is a computational model that is used to describe the forces between atoms (or collections of atoms) within molecules or between molecules as well as in crystals.