12D.15 At low resolution, the strongest absorption band in the infrared absorption spectrum of ¹2C160 is centred at 2150 cm-¹. Upon closer examination at higher resolution, this band is observed to be split into two sets of closely spaced peaks, one on each side of the centre of the spectrum at 2143.26 cm-¹. The separation between the peaks immediately to the right and left of the centre is 7.655 cm-¹. Make the harmonic oscillator and rigid rotor approximations and calculate from these data: (a) the vibrational wavenumber of a CO molecule, (b) its molar zero-point vibrational energy, (c) the force constant of the CO bond, (d) the rotational constant B, and (e) the bond length of CO.

Principles of Instrumental Analysis
7th Edition
ISBN:9781305577213
Author:Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Chapter9: Atomic Absorption And Atomic Fluorescence Spectrometry
Section: Chapter Questions
Problem 9.13QAP
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12D.15 At low resolution, the strongest absorption band in the infrared
absorption spectrum of 12C¹6O is centred at 2150 cm-¹. Upon closer
examination at higher resolution, this band is observed to be split into two
sets of closely spaced peaks, one on each side of the centre of the
spectrum at
2143.26 cm-¹1. The separation between the peaks immediately to the right and
left of the centre is 7.655 cm-¹. Make the harmonic oscillator and rigid rotor
approximations and calculate from these data: (a) the vibrational wavenumber
of a CO molecule, (b) its molar zero-point vibrational energy, (c) the force
constant of the CO bond, (d) the rotational constant B, and (e) the bond
length of CO.
Transcribed Image Text:12D.15 At low resolution, the strongest absorption band in the infrared absorption spectrum of 12C¹6O is centred at 2150 cm-¹. Upon closer examination at higher resolution, this band is observed to be split into two sets of closely spaced peaks, one on each side of the centre of the spectrum at 2143.26 cm-¹1. The separation between the peaks immediately to the right and left of the centre is 7.655 cm-¹. Make the harmonic oscillator and rigid rotor approximations and calculate from these data: (a) the vibrational wavenumber of a CO molecule, (b) its molar zero-point vibrational energy, (c) the force constant of the CO bond, (d) the rotational constant B, and (e) the bond length of CO.
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