(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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(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

(hydrogen iodide, the superscripts represent the atomic mass number) (a) How fast will HI molecules rotate at the quantized rotational state with the rotational quantun number J of 2, given the bond length of 0.161 nim? (b) Calculate the effective force constant of the vibrational mode of HI at a wavenumber of 2300 cm' measured by infrared absorption spectrum. (c) HI has the bond energy of 3.06 eV. Applying the parabolic approximation to estimate the longest distance in which H and I atoms can be stretched before the dissociation of the molecular bond

(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

Question

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 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

Expert Solution & Answer

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