Isotopic substitution is employed to isolate features in a vibrational spectrum. For example, the C=O stretch of
Question:
Isotopic substitution is employed to isolate features in a vibrational spectrum. For example, the C=O stretch of individual carbonyl groups in the backbone of a polypeptide can be studied by substituting 13C18O for 12C16O.
a. From quantum mechanics the vibrational frequency of a diatomic molecules depends on the bond force constant (κ) and reduced mass (μ) as follows:
v̅ = √K / µ
If the vibrational frequency of 12C16O is 1680 cm−1, what is the expected frequency for 13C18O?
b. Using the vibrational frequencies for 12C16O and 13C18O, determine the value of the corresponding vibrational partition functions at 298 K. Does this isotopic substitution have a dramatic effect on qV?
Step by Step Answer:
a b Both partition functions have values extremely close to ...View the full answer
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