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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.
- 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 ...
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
Potential osmotic pressure is the maximum osmotic pressure that could develop in a solution if it were separated from its pure solvent by a semipermeable membrane. Osmosis occurs when two solutions containing different concentrations of solute are separated by a selectively permeable membrane.
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 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 ...
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 ...
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]