If the vibrational potential is not harmonic, the force constant is not independent of degree of stretching
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If the vibrational potential is not harmonic, the force constant is not independent of degree of stretching or compression of a molecule. Using the relation k effective = (d2V(x)/dx2), derive an expression for the vibrational force constant for a Morse potential as a function of x − xe. Using the parameters from Table 19.3, plot k effective as a function of x over a ±5.0 pm range from xe. What is the variation of k effective over this range of x?
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