The fundamental vibrational absorption of gaseous carbon monoxide,

PHYSICS · Multi-part · Fermi University Physics · Atomic, Molecular & Optical Physics · Molecular structure and spectra · Molecular structure and spectra

Reading the Spectrum, Ch Two nuclei on one curve: rotation, vibration and the spectrum of a diatomic molecule

Problem

\mathrm{^{12}C^{16}O}

, has vibrational constant

\omega_e = 2169.8\,\mathrm{cm^{-1}}

. Using atomic masses

m(\mathrm{^{12}C}) = 12.0000\,\mathrm u

and

m(\mathrm{^{16}O}) = 15.9949\,\mathrm u

, find ((a)) the force constant

k

of the C-O bond, treating

V(R)

as a parabola near its minimum; ((b)) the energy of its lowest vibrational level above the bottom of the potential curve, in eV.

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