V(y) =D D(1 - e«r-미)2 -a(r-1
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The Morse potential is a good approximation for a real potential to describe diatomic molecules. It is given by V(r),as attached where D is the molecular dissociation energy, and re is the equilibrium distance between the atoms. For small vibrations, r - re is small, and V(r) can be expanded in a Taylor series to reduce to a simple harmonic potential. Find the lowest term of V(r) in this expansion and show that it is quadratic in (r - re).
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