An Introduction to Thermal Physics · Problem A.22

Systems of Interacting Particles — Daniel Schroeder

Physics — Statistical Mechanics · co-molecule-rotation

Problem

In Section 6.2 I used the symbol ϵ\epsilon as an abbreviation for the constant ℏ2/2I\hbar^2/2I. This constant is ordinarily measured by microwave spectroscopy: bombarding the molecule with microwaves and looking at what frequencies are absorbed. ((a)) For a CO molecule, the constant ϵ\epsilon is approximately 0.00024 eV. What microwave frequency would induce a transition from the j=0j = 0 level to the j=1j = 1 level? What frequency would induce a transition from the j=1j = 1 level to the j=2j = 2 level? ((b)) Use the measured value of ϵ\epsilon to calculate the moment of inertia of a CO molecule. ((c)) From the moment of inertia and the known atomic masses, calculate the ``bond length,'' or distance between the nuclei, for a CO molecule.

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