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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.
Interatomic potential; Bond order potential; EAM potential; Coulomb potential; Buckingham potential; Lennard-Jones potential; Morse potential; Morse/Long-range potential; Rosen–Morse potential; Trigonometric Rosen–Morse potential; Stockmayer potential; Pöschl–Teller potential; Axilrod–Teller potential; Mie potential
- one recognizes the one-dimensional wave equation with the trigonometric Rosen–Morse potential in for = + and =. In this way, the cotangent term of the trigonometric Rosen–Morse potential could be derived from the Gauss law on S 3 {\displaystyle S^{3}} in combination with the superposition principle, and could be interpreted as a dipole ...
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 .
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 ...
A potential energy surface (PES) or energy landscape describes the energy of a system, especially a collection of atoms, in terms of certain parameters, normally the positions of the atoms. The surface might define the energy as a function of one or more coordinates; if there is only one coordinate, the surface is called a potential energy ...
Of course, real molecules do not vibrate perfectly harmonically, because a bond's potential is not precisely quadratic but better approximated as a Morse potential. Solving the Schrödinger equation with the Morse potential for the molecule under consideration yields vibrational energy eigenstates with the interesting property that when one ...
In the quantum mechanical picture, the vibrational levels and vibrational wavefunctions are those of quantum harmonic oscillators, or of more complex approximations to the potential energy of molecules, such as the Morse potential. Figure 1 illustrates the Franck–Condon principle for vibronic transitions in a molecule with Morse-like ...