Calculating Partition Functions. Consider the acetylene molecule, which is linear and has the chemical structure H−C≡C−H. Calculate or determine the following: a. Symmetry number (?) and degrees of freedom b. Moment of inertia (I) and rotational temperature (Θr) c. Vibrational temperatures (Θv,i)

Principles of Modern Chemistry
8th Edition
ISBN:9781305079113
Author:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Publisher:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Chapter20: Molecular Spectroscopy And Photochemistry
Section: Chapter Questions
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Calculating Partition Functions. Consider the acetylene molecule, which is linear and has the chemical structure H−C≡C−H. Calculate or determine the following:

a. Symmetry number (?) and degrees of freedom

b. Moment of inertia (I) and rotational temperature (Θr)

c. Vibrational temperatures (Θv,i)

d. Translational (qt), rotational (qr), vibrational (qv), and electronic (qe) partition functions at 298 K.

e. Total partition function, (q/V).

Helpful information:

mass of H atom = 1.007947 amu

mass of C atom = 12.01078 amu

C≡C bond length = 1.203 Å

C−H bond length = 1.060 Å

vibrational frequencies = 1975, 3370, 3277, 729 (2), 600 (2) cm-1

(numbers in parenthesis indicate the degeneracy of that mode)

ground state electronic degeneracy = 1

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