Question: 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

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 − x_e. Using the parameters from Table 19.3, plot k _effective as a function of x over a ±5.0 pm range from x_e. What is the variation of k _effective over this range of x?

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