Letter | Published:

Classical Motion under a Morse Potential

Naturevolume 180pages13521353 (1957) | Download Citation



STUDENTS of diatomic molecules and of related systems have long used the Morse potential function1 where x is the stretch of the interatomic bond (with V=0 at the equilibrium configuration x=0), D is the dissociation energy, and a a constant parameter. For energies less than D and no rotation, Morse gave the quantum energy levels of (1), namely where ν 0≡(a/2π)(2D/µ)½ is the frequency of classical small vibrations, µ being the reduced mass of the two bonded atoms.

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  1. 1

    Morse, P. M., Phys. Rev., 34, 57 (1929).

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  1. Department of Mathematics, The University, Leeds

    • N. B. SLATER


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