Physical Chemistry
Physical Chemistry
2nd Edition
ISBN: 9781285969770
Author: Ball
Publisher: Cengage
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Chapter 10, Problem 10.54E
Interpretation Introduction

Interpretation:

The probability that an electron will exist at the center of the box, approximated as 0.495a to 0.505a, for the first, second, third, and fourth levels of a particle-in-a-box is to be calculated. The property of wavefunction apparent from these answers is to be stated.

Concept introduction:

The wavefunction for particle in a box is given by the expression as follows.

Ψn(x)=2asinnπxa

Where,

n is the number of energy level.

a is the width of the box.

The probability for particle in a box is taken as the square of the wavefunction and is denoted by Ψ2. For the normalization of the wavefunction, the wavefunction is integrated as a product of its conjugate over the entire limits.

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Chapter 10 Solutions

Physical Chemistry

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