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Morse potential


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The potential energy of a diatomic molecule as a function of the difference (rre), where r is the variable interatomic distance and re is the equilibrium interatomic distance. The Morse potential U(rre) is given by De{1 – exp[–β(–rre)]} 2, where De is the dissociation energy at the minimum of the curve (i.e. when r=re) and β is a constant. The Morse potential was used by the US physicist Philip M. Morse in 1929 in solving the Schrödinger equation. The Morse potential is a reasonably good representation of a potential-energy function except that as r approaches 0, U does not approach infinity as it should for a true potential energy function. Modifications of the Morse potential have been suggested to improve on this aspect.

De{1 – exp[–β(–rre)]} 2

Subjects: Chemistry.


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