The analysis of this section applies also to linear polyatomic molecules, for which no rotation about the axis of symmetry is possible.

amanf

amanf

Answered question

2021-09-24

The analysis of this section applies also to linear polyatomic molecules, for which no rotation about the axis of symmetry is possible. An example is CO2, with ϵ=0.000049eV. Estimate the rotational partition function for a CO2 molecule at room temperature. (Note that the arrangement of the atoms is OCO, and the two oxygen atoms are identical.)

Answer & Explanation

Brittany Patton

Brittany Patton

Skilled2021-09-25Added 100 answers

Consider a carbon dioxide CO2 with energy constant ¢ = 0.000049 eV the two oxygen atoms are identical a round C, so we still can use equation 6.33 to find the rotational partition function:
Zt=kT2ϵ
substitute with the givens at temperature of T = 300 K, (note that the Boltzmann constant in eV is k=8.617×105eVK) to get:
Zrot=(8.617×105eVK)(300K)2(0.000049ev)=263.78
Zrot=263.78

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