BuyFindarrow_forward

Physical Chemistry

2nd Edition
Ball + 3 others
ISBN: 9781133958437

Solutions

Chapter
Section
BuyFindarrow_forward

Physical Chemistry

2nd Edition
Ball + 3 others
ISBN: 9781133958437
Textbook Problem

Verify equation 14.26.

Interpretation Introduction

Interpretation:

The equation EJ+1EJ=2B(J+1)4DJ(J+1)3 is to be verified.

Concept introduction:

The rotational energy of a molecule is given by an expression shown below.

Erot=BJ(J+1)DJJ2(J+1)2

Where,

B is the rotational constant.

DJ is the centrifugal distortion constant.

J is the quantum number of lower energy rotational state.

Explanation

The equation 14.26 is given below.

EJ+1EJ=2B(J+1)4DJ(J+1)3

The rotational energy of a molecule is given by an expression shown below.

Erot=BJ(J+1)DJJ2(J+1)2 …(1)

Where,

B is the rotational constant.

DJ is the centrifugal distortion constant.

J is the quantum number of lower energy rotational state.

The equation (1) can be written in terms of J as shown below.

EJ=BJ(J+1)DJJ2(J+1)2 …(2)

Substitute J=J+1 in equation (2).

EJ+1=B(J+1)[(J+1)+1]DJ(J+1)2[(J+1)+1]2=B(J+1)(J+2)DJ(J+1)2(J+2)2

EJ+1=B(J2+3J+2)DJ(J+1)2(J2+4J+4) …(3)

The equation (3) is subtracted from the equation (1)

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Additional Science Solutions

Find more solutions based on key concepts

Show solutions add

What is the structural difference between an aldehyde and a ketone?

Chemistry for Today: General, Organic, and Biochemistry

How are the adenine nucleotides linked together in the poly-A tails?

Introduction to General, Organic and Biochemistry

The nervous system cannot use fat as fuel. T F

Nutrition: Concepts and Controversies - Standalone book (MindTap Course List)

One yard is slightly ___ than 1 meter. (1.4)

An Introduction to Physical Science

What evidence shows that white dwarfs must be very small?

Horizons: Exploring the Universe (MindTap Course List)