The frequency of the stretching vibration of C = S bond in OCS molecule is to be calculated. Whether the approximation is good or not is to be stated. Concept introduction: The vibration of the atoms present in a molecule takes place in a periodic motion and that molecule possess the constant rotational and translational motions then it is known as a vibrational frequency of a molecule.

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Vibrational Spectroscopy When an atom in a bond is replaced with a different isotope of the same element, the reduced mass of the bonded atoms change the absorption of the vibration in the infrared (vibrational) spectrum. The wavenumber of a vibration is given by v = ¹, where k = force constant of the bond, μ = 2π reduced mass. Reduced Mass: μ = 1 " where m₁ and m2 are the mass of each attached atom. Assuming the force constant of a particular pair of atoms does not change when one or the other atom is substituted with an isotope, the magnitude of the vibrational shift can be determined from a ratio of the two vibrations. V₁ V₂ 1 k₁ 2π √1 1 k₂ 2π√√1₂ 1. An O-H stretch occurs at 3650 cm¹. What is the expected vibrational wavenumber of an O-D bond? 2. An NH3 stretch occurs at 3337 cm¹. At what wavenumber does the ND3 vibration occur? 3. An IR spectrum of a complex containing an Ru-O bond is depicted to the right. When 0-16 is substituted with 0-18, the vibration at 887 cm¹ appears to…

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Question

Chapter 14, Problem 14.55E

Interpretation Introduction

Interpretation:

The frequency of the stretching vibration of C=S bond in OCS molecule is to be calculated. Whether the approximation is good or not is to be stated.

Concept introduction:

The vibration of the atoms present in a molecule takes place in a periodic motion and that molecule possess the constant rotational and translational motions then it is known as a vibrational frequency of a molecule.

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Vibrational Spectroscopy When an atom in a bond is replaced with a different isotope of the same element, the reduced mass of the bonded atoms change the absorption of the vibration in the infrared (vibrational) spectrum. The wavenumber of a vibration is given by v = ¹, where k = force constant of the bond, μ = 2π reduced mass. Reduced Mass: μ = 1 " where m₁ and m2 are the mass of each attached atom. Assuming the force constant of a particular pair of atoms does not change when one or the other atom is substituted with an isotope, the magnitude of the vibrational shift can be determined from a ratio of the two vibrations. V₁ V₂ 1 k₁ 2π √1 1 k₂ 2π√√1₂ 1. An O-H stretch occurs at 3650 cm¹. What is the expected vibrational wavenumber of an O-D bond? 2. An NH3 stretch occurs at 3337 cm¹. At what wavenumber does the ND3 vibration occur? 3. An IR spectrum of a complex containing an Ru-O bond is depicted to the right. When 0-16 is substituted with 0-18, the vibration at 887 cm¹ appears to…

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