Empirical potentials were used to approximate the interaction between the (0001) surface of graphite and a single methane molecule. The frequency of the vibration perpendicular to the surface was obtained by assuming that the force field under consideration is harmonic, and also by solving the one-dimensional Schrödinger equation of the vibration. It was found that the two approaches yielded nearly identical excitation energies for the fundamental transition.
- Harmonic force field
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