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.

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.

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

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Question

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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Step 1: Introduction

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Step 2: Deriving the expression for wavenumber

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Step 3: Calculation of wave number

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Step 4: Calculation of Zero point energy

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Step 5: Calculation of reduced mass

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