Physical Chemistry

2nd Edition
Ball + 3 others
Publisher: Wadsworth Cengage Learning,
ISBN: 9781133958437



Physical Chemistry

2nd Edition
Ball + 3 others
Publisher: Wadsworth Cengage Learning,
ISBN: 9781133958437
Chapter 11, Problem 11.87E
Textbook Problem

Evaluate L z for 3 p x , Compare it to the answer in Example 11.25, and explain the difference in the answers.

Interpretation Introduction


The Lz for 3px is to be stated and the answer is to be compared with Example 11.25.

Concept introduction:

The wavefunction for 3-D rotational motion involves spherical polar coordinates to explain the motion in three dimensions. It is given by the expression as follows.


Where, Ψmrepresents the wavefunction dependent on quantum number m and l. The values of m and l start from 0. Also, they can take up both negative and positive integral values. According to Euler’s identity, eimϕ can be written as cosϕ+isinϕ.

Explanation of Solution

The wavefunction 3px can be written as follows.


The value of Lz can be calculated as follows.


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Chapter 11 Solutions

Physical Chemistry
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