(a) Interpretation: The symmetry and the number of IR-active vibrations for H 2 O 2 molecule are to be stated. Concept introduction: The number of vibrations or degree of freedom of linear molecule is 3 N − 5 and the number of vibrations or degree of freedom of nonlinear molecule is 3 N − 6 . Only those vibrations which involve a change in dipole moment are said to be IR-active vibrations.

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Answer 1

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Chapter 14, Problem 14.78E

Interpretation Introduction

(a)

Interpretation:

The symmetry and the number of IR-active vibrations for H2O2 molecule are to be stated.

Concept introduction:

The number of vibrations or degree of freedom of linear molecule is 3N−5 and the number of vibrations or degree of freedom of nonlinear molecule is 3N−6. Only those vibrations which involve a change in dipole moment are said to be IR-active vibrations.

Interpretation Introduction

(b)

Interpretation:

The symmetry and the number of IR-active vibrations for (COOH)2 molecule is to be stated.

Concept introduction:

The number of vibrations or degree of freedom of linear molecule is 3N−5 and the number of vibrations or degree of freedom of nonlinear molecule is 3N−6. Only those vibrations which involve a change in dipole moment are said to be IR-active vibrations.

Interpretation Introduction

(c)

Interpretation:

The symmetry and the number of IR-active vibrations for SO3 molecule is to be stated.

Concept introduction:

The number of vibrations or degree of freedom of linear molecule is 3N−5 and the number of vibrations or degree of freedom of nonlinear molecule is 3N−6. Only those vibrations which involve a change in dipole moment are said to be IR-active vibrations.

Interpretation Introduction

(d)

Interpretation:

The symmetry and the number of IR-active vibrations for formaldehyde H2CO molecule is to be stated.

Concept introduction:

The number of vibrations or degree of freedom of linear molecule is 3N−5 and the number of vibrations or degree of freedom of nonlinear molecule is 3N−6. Only those vibrations which involve a change in dipole moment are said to be IR-active vibrations.

Interpretation Introduction

(e)

Interpretation:

The symmetry and the number of IR-active vibrations for (CH3)2CO molecule is to be stated.

Concept introduction:

The number of vibrations or degree of freedom of linear molecule is 3N−5 and the number of vibrations or degree of freedom of nonlinear molecule is 3N−6. Only those vibrations which involve a change in dipole moment are said to be IR-active vibrations.

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4. (a) Identify the principal (z) rotational axis for all molecules provided below. (b) Provide a complete list of symmetry operations for each of the following molecules. (c) Which molecules posses identical sets of symmetry operations? Me Me Me Me H3N NH3 NO Oc-FeCO ON-F CO

(a) Identify the principal (z) rotational axis for all molecules provided below. (b) Provide a complete list of symmetry operations for each of the following molecules. (c) Which molecules posses identical sets of symmetry operations? C Me Me Me Me Me ÇI HN FoNH H3N CI NH3 NO CO Fo CO co Fo CO co OC ON čo čo

(b) The lowest frequency rotational transition of ²H³³C1 occurs at 10.92 cm1. Determine (i) The rotational constant, B, in Hz (ii) The bond length

Answer 2

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Chapter 14, Problem 14.78E

Interpretation Introduction

(a)

Interpretation:

The symmetry and the number of IR-active vibrations for H2O2 molecule are to be stated.

Concept introduction:

The number of vibrations or degree of freedom of linear molecule is 3N−5 and the number of vibrations or degree of freedom of nonlinear molecule is 3N−6. Only those vibrations which involve a change in dipole moment are said to be IR-active vibrations.

Interpretation Introduction

(b)

Interpretation:

The symmetry and the number of IR-active vibrations for (COOH)2 molecule is to be stated.

Concept introduction:

The number of vibrations or degree of freedom of linear molecule is 3N−5 and the number of vibrations or degree of freedom of nonlinear molecule is 3N−6. Only those vibrations which involve a change in dipole moment are said to be IR-active vibrations.

Interpretation Introduction

(c)

Interpretation:

The symmetry and the number of IR-active vibrations for SO3 molecule is to be stated.

Concept introduction:

The number of vibrations or degree of freedom of linear molecule is 3N−5 and the number of vibrations or degree of freedom of nonlinear molecule is 3N−6. Only those vibrations which involve a change in dipole moment are said to be IR-active vibrations.

Interpretation Introduction

(d)

Interpretation:

The symmetry and the number of IR-active vibrations for formaldehyde H2CO molecule is to be stated.

Concept introduction:

The number of vibrations or degree of freedom of linear molecule is 3N−5 and the number of vibrations or degree of freedom of nonlinear molecule is 3N−6. Only those vibrations which involve a change in dipole moment are said to be IR-active vibrations.

Interpretation Introduction

(e)

Interpretation:

The symmetry and the number of IR-active vibrations for (CH3)2CO molecule is to be stated.

Concept introduction:

The number of vibrations or degree of freedom of linear molecule is 3N−5 and the number of vibrations or degree of freedom of nonlinear molecule is 3N−6. Only those vibrations which involve a change in dipole moment are said to be IR-active vibrations.

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Answer 3

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Chapter 14, Problem 14.78E

Interpretation Introduction

(a)

Interpretation:

The symmetry and the number of IR-active vibrations for H2O2 molecule are to be stated.

Concept introduction:

The number of vibrations or degree of freedom of linear molecule is 3N−5 and the number of vibrations or degree of freedom of nonlinear molecule is 3N−6. Only those vibrations which involve a change in dipole moment are said to be IR-active vibrations.

Interpretation Introduction

(b)

Interpretation:

The symmetry and the number of IR-active vibrations for (COOH)2 molecule is to be stated.

Concept introduction:

The number of vibrations or degree of freedom of linear molecule is 3N−5 and the number of vibrations or degree of freedom of nonlinear molecule is 3N−6. Only those vibrations which involve a change in dipole moment are said to be IR-active vibrations.

Interpretation Introduction

(c)

Interpretation:

The symmetry and the number of IR-active vibrations for SO3 molecule is to be stated.

Concept introduction:

The number of vibrations or degree of freedom of linear molecule is 3N−5 and the number of vibrations or degree of freedom of nonlinear molecule is 3N−6. Only those vibrations which involve a change in dipole moment are said to be IR-active vibrations.

Interpretation Introduction

(d)

Interpretation:

The symmetry and the number of IR-active vibrations for formaldehyde H2CO molecule is to be stated.

Concept introduction:

The number of vibrations or degree of freedom of linear molecule is 3N−5 and the number of vibrations or degree of freedom of nonlinear molecule is 3N−6. Only those vibrations which involve a change in dipole moment are said to be IR-active vibrations.

Interpretation Introduction

(e)

Interpretation:

The symmetry and the number of IR-active vibrations for (CH3)2CO molecule is to be stated.

Concept introduction:

The number of vibrations or degree of freedom of linear molecule is 3N−5 and the number of vibrations or degree of freedom of nonlinear molecule is 3N−6. Only those vibrations which involve a change in dipole moment are said to be IR-active vibrations.

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Answer 4

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100%

Chapter 14, Problem 14.78E

Interpretation Introduction

(a)

Interpretation:

The symmetry and the number of IR-active vibrations for H2O2 molecule are to be stated.

Concept introduction:

The number of vibrations or degree of freedom of linear molecule is 3N−5 and the number of vibrations or degree of freedom of nonlinear molecule is 3N−6. Only those vibrations which involve a change in dipole moment are said to be IR-active vibrations.

Interpretation Introduction

(b)

Interpretation:

The symmetry and the number of IR-active vibrations for (COOH)2 molecule is to be stated.

Concept introduction:

The number of vibrations or degree of freedom of linear molecule is 3N−5 and the number of vibrations or degree of freedom of nonlinear molecule is 3N−6. Only those vibrations which involve a change in dipole moment are said to be IR-active vibrations.

Interpretation Introduction

(c)

Interpretation:

The symmetry and the number of IR-active vibrations for SO3 molecule is to be stated.

Concept introduction:

The number of vibrations or degree of freedom of linear molecule is 3N−5 and the number of vibrations or degree of freedom of nonlinear molecule is 3N−6. Only those vibrations which involve a change in dipole moment are said to be IR-active vibrations.

Interpretation Introduction

(d)

Interpretation:

The symmetry and the number of IR-active vibrations for formaldehyde H2CO molecule is to be stated.

Concept introduction:

The number of vibrations or degree of freedom of linear molecule is 3N−5 and the number of vibrations or degree of freedom of nonlinear molecule is 3N−6. Only those vibrations which involve a change in dipole moment are said to be IR-active vibrations.

Interpretation Introduction

(e)

Interpretation:

The symmetry and the number of IR-active vibrations for (CH3)2CO molecule is to be stated.

Concept introduction:

The number of vibrations or degree of freedom of linear molecule is 3N−5 and the number of vibrations or degree of freedom of nonlinear molecule is 3N−6. Only those vibrations which involve a change in dipole moment are said to be IR-active vibrations.

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Answer 5

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Answer 6

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Answer 7

Chapter 14, Problem 14.78E

Interpretation Introduction

(a)

Interpretation:

The symmetry and the number of IR-active vibrations for H2O2 molecule are to be stated.

Concept introduction:

The number of vibrations or degree of freedom of linear molecule is 3N−5 and the number of vibrations or degree of freedom of nonlinear molecule is 3N−6. Only those vibrations which involve a change in dipole moment are said to be IR-active vibrations.

Interpretation Introduction

(b)

Interpretation:

The symmetry and the number of IR-active vibrations for (COOH)2 molecule is to be stated.

Concept introduction:

The number of vibrations or degree of freedom of linear molecule is 3N−5 and the number of vibrations or degree of freedom of nonlinear molecule is 3N−6. Only those vibrations which involve a change in dipole moment are said to be IR-active vibrations.

Interpretation Introduction

(c)

Interpretation:

The symmetry and the number of IR-active vibrations for SO3 molecule is to be stated.

Concept introduction:

The number of vibrations or degree of freedom of linear molecule is 3N−5 and the number of vibrations or degree of freedom of nonlinear molecule is 3N−6. Only those vibrations which involve a change in dipole moment are said to be IR-active vibrations.

Interpretation Introduction

(d)

Interpretation:

The symmetry and the number of IR-active vibrations for formaldehyde H2CO molecule is to be stated.

Concept introduction:

The number of vibrations or degree of freedom of linear molecule is 3N−5 and the number of vibrations or degree of freedom of nonlinear molecule is 3N−6. Only those vibrations which involve a change in dipole moment are said to be IR-active vibrations.

Interpretation Introduction

(e)

Interpretation:

The symmetry and the number of IR-active vibrations for (CH3)2CO molecule is to be stated.

Concept introduction:

The number of vibrations or degree of freedom of linear molecule is 3N−5 and the number of vibrations or degree of freedom of nonlinear molecule is 3N−6. Only those vibrations which involve a change in dipole moment are said to be IR-active vibrations.

Answer 8

Chapter 14, Problem 14.78E

Interpretation Introduction

(a)

Interpretation:

The symmetry and the number of IR-active vibrations for H2O2 molecule are to be stated.

Concept introduction:

The number of vibrations or degree of freedom of linear molecule is 3N−5 and the number of vibrations or degree of freedom of nonlinear molecule is 3N−6. Only those vibrations which involve a change in dipole moment are said to be IR-active vibrations.

Answer 9

Chapter 14, Problem 14.78E

Interpretation Introduction

(a)

Interpretation:

The symmetry and the number of IR-active vibrations for H2O2 molecule are to be stated.

Concept introduction:

The number of vibrations or degree of freedom of linear molecule is 3N−5 and the number of vibrations or degree of freedom of nonlinear molecule is 3N−6. Only those vibrations which involve a change in dipole moment are said to be IR-active vibrations.

Answer 10

Interpretation Introduction

(b)

Interpretation:

The symmetry and the number of IR-active vibrations for (COOH)2 molecule is to be stated.

Concept introduction:

The number of vibrations or degree of freedom of linear molecule is 3N−5 and the number of vibrations or degree of freedom of nonlinear molecule is 3N−6. Only those vibrations which involve a change in dipole moment are said to be IR-active vibrations.

Answer 11

Interpretation Introduction

(b)

Interpretation:

The symmetry and the number of IR-active vibrations for (COOH)2 molecule is to be stated.

Concept introduction:

The number of vibrations or degree of freedom of linear molecule is 3N−5 and the number of vibrations or degree of freedom of nonlinear molecule is 3N−6. Only those vibrations which involve a change in dipole moment are said to be IR-active vibrations.

Answer 12

Interpretation Introduction

(c)

Interpretation:

The symmetry and the number of IR-active vibrations for SO3 molecule is to be stated.

Concept introduction:

The number of vibrations or degree of freedom of linear molecule is 3N−5 and the number of vibrations or degree of freedom of nonlinear molecule is 3N−6. Only those vibrations which involve a change in dipole moment are said to be IR-active vibrations.

Answer 13

Interpretation Introduction

(c)

Interpretation:

The symmetry and the number of IR-active vibrations for SO3 molecule is to be stated.

Concept introduction:

The number of vibrations or degree of freedom of linear molecule is 3N−5 and the number of vibrations or degree of freedom of nonlinear molecule is 3N−6. Only those vibrations which involve a change in dipole moment are said to be IR-active vibrations.

Answer 14

Interpretation Introduction

(d)

Interpretation:

The symmetry and the number of IR-active vibrations for formaldehyde H2CO molecule is to be stated.

Concept introduction:

The number of vibrations or degree of freedom of linear molecule is 3N−5 and the number of vibrations or degree of freedom of nonlinear molecule is 3N−6. Only those vibrations which involve a change in dipole moment are said to be IR-active vibrations.

Answer 15

Interpretation Introduction

(d)

Interpretation:

The symmetry and the number of IR-active vibrations for formaldehyde H2CO molecule is to be stated.

Concept introduction:

The number of vibrations or degree of freedom of linear molecule is 3N−5 and the number of vibrations or degree of freedom of nonlinear molecule is 3N−6. Only those vibrations which involve a change in dipole moment are said to be IR-active vibrations.

Answer 16

Interpretation Introduction

(e)

Interpretation:

The symmetry and the number of IR-active vibrations for (CH3)2CO molecule is to be stated.

Concept introduction:

The number of vibrations or degree of freedom of linear molecule is 3N−5 and the number of vibrations or degree of freedom of nonlinear molecule is 3N−6. Only those vibrations which involve a change in dipole moment are said to be IR-active vibrations.

Answer 17

Interpretation Introduction

(e)

Interpretation:

The symmetry and the number of IR-active vibrations for (CH3)2CO molecule is to be stated.

Concept introduction:

The number of vibrations or degree of freedom of linear molecule is 3N−5 and the number of vibrations or degree of freedom of nonlinear molecule is 3N−6. Only those vibrations which involve a change in dipole moment are said to be IR-active vibrations.

Answer 18

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Answer 19

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Answer 20

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Answer 21

Ch. 14 - Prob. 14.1E Ch. 14 - Determine if the following integrals can be...Ch. 14 - What is the frequency of light having the...Ch. 14 - What is the wavelength of light having the given...Ch. 14 - What is the energy of light having each...Ch. 14 - The Cu(H2O)62+ complex has octahedral symmetry. Is...Ch. 14 - What are the wavelength, speed, and energy of a...Ch. 14 - Prob. 14.8E Ch. 14 - Prob. 14.9E Ch. 14 - Prob. 14.10E

Solution Summary: The author explains the symmetry and the number of IR-active vibrations for Hydrogen Peroxide left, which is a nonlinear molecule.

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Chapter 14 Solutions