When vibrational transitions are observed in an electronic absorption spectrum, these transitions can be used to determine
Question:
The central idea behind the approach is that the dissociation energy is equal to the sum of these energy differences from n = 0 to the dissociation limit:
a. For the ground state of I2 the following values for ÎG versus n were determined (J. Chem. Phys. 32 (1960): 738.
If the potential function can be described by a Morse potential [Equation (19.5)], ÎG will be a linear function of n + 1/2. Construct a BirgeSponer plot (ÎG versus n + 1/2) using the given data, and, using the best fit to a straight line, to determine the value of n where ÎG = 0. This is the I2 ground-state vibrational quantum number at dissociation.
b. The area under the BirgeSponer plot is equal to the dissociation energy, D0. This area can be determined by summing the ÎG values from n = 0 to n at dissociation [determined in part (a)]. Perform this summation to determine D0 for ground state I2. You can also integrate the best fit equation to determine D0.
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