Report:
1. Report the polynomial fit coefficients and the uncertainties for each of the four molecules.
Include the curve fit plots. Report the fundamental vibration frequencies, moments of inertia,
reduced masses, and bond lengths for H35Cl, H37Cl, D35Cl, and D37Cl. Report the force constant
for H35Cl. Make sure to use the proper number of significant figures, but do adjust for the
propagation of errors using squares of numbers or square roots as discussed above. List your significant figures using the “underlining” convention, for example 123.456. In other words, give
a couple extra insignificant digits, to make checking your calculations easier and in case you
get the number of significant figures incorrectly.
2. Compare your values for the bond length to the literature values for H35Cl (only). Your value
is not corrected for centrifugal distortion; even so, a very small deviation from the literature value
is expected.
3. Calculate the theoretical ratios ν
~
o(1)/ν
~
o(2) and B
~
o(1)/B
~
o(2) using Eqs. 18 and 19 and
compare to the experimental ratios for each pair of (D35Cl/H35Cl), (H37Cl/H35Cl), (D37Cl/D35Cl).
How well does theory and experiment compare?
4. Finally, answer the following question: how would an increase in temperature change the
spectrum of H35Cl?