Explanation The wave function for a particle in one dimensional box is given below. ψ ( x ) = ( 2 L ) 1 2 sin ( n π x L ) : n = 1 , 2... Probability of finding an electron is given below. Probability = ∫ 0 L ψ ( x ) ψ* ( x ) dx=1 Probability of finding an electron in the left half of the box is given below. Probability = ∫ 0 L 2 ψ ( x ) ψ* ( x ) dx = ∫ 0 L 2 2 L sin ( n π x L ) 2 L sin ( n π x L ) dx = ∫ 0 L 2 2 L sin 2 ( n π x

Chemical Principles: The Quest for Insight

7th Edition

ISBN: 9781464183959

Author: Peter Atkins, Loretta Jones, Leroy Laverman

Publisher: W. H. Freeman

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Techniques and applications of quantum theory

Quantum theory, often known as quantum physics, is the foundation of modern physics and encompasses the nature and behavior of matter and energy at the atomic and molecular levels. As the exact nature and behavior of atomic and subatomic particles are im…

Question

Chapter 1, Problem 1C.7E

Interpretation Introduction

Interpretation:

The probability of finding the particle in the left half of the box is half regardless the value of

n has to be proved.

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Chapter 1, Problem 1C.3E

Chapter 1, Problem 1D.1AST

Chapter 1 Solutions

Chemical Principles: The Quest for Insight

Ch. 1 - Prob. 1A.1AST Ch. 1 - Prob. 1A.1BST Ch. 1 - Prob. 1A.2AST Ch. 1 - Prob. 1A.2BST Ch. 1 - Prob. 1A.1E Ch. 1 - Prob. 1A.3E Ch. 1 - Prob. 1A.4E Ch. 1 - Prob. 1A.5E Ch. 1 - Prob. 1A.6E Ch. 1 - Prob. 1A.7E

Ch. 1 - Prob. 1A.8E Ch. 1 - Prob. 1A.9E Ch. 1 - Prob. 1A.10E Ch. 1 - Prob. 1A.11E Ch. 1 - Prob. 1A.12E Ch. 1 - Prob. 1A.13E Ch. 1 - Prob. 1A.14E Ch. 1 - Prob. 1A.15E Ch. 1 - Prob. 1A.16E Ch. 1 - Prob. 1A.17E Ch. 1 - Prob. 1B.1AST Ch. 1 - Prob. 1B.1BST Ch. 1 - Prob. 1B.2AST Ch. 1 - Prob. 1B.2BST Ch. 1 - Prob. 1B.3AST Ch. 1 - Prob. 1B.3BST Ch. 1 - Prob. 1B.4AST Ch. 1 - Prob. 1B.4BST Ch. 1 - Prob. 1B.5AST Ch. 1 - Prob. 1B.5BST Ch. 1 - Prob. 1B.1E Ch. 1 - Prob. 1B.2E Ch. 1 - Prob. 1B.3E Ch. 1 - Prob. 1B.4E Ch. 1 - Prob. 1B.5E Ch. 1 - Prob. 1B.6E Ch. 1 - Prob. 1B.7E Ch. 1 - Prob. 1B.8E Ch. 1 - Prob. 1B.9E Ch. 1 - Prob. 1B.10E Ch. 1 - Prob. 1B.11E Ch. 1 - Prob. 1B.12E Ch. 1 - Prob. 1B.13E Ch. 1 - Prob. 1B.14E Ch. 1 - Prob. 1B.15E Ch. 1 - Prob. 1B.16E Ch. 1 - Prob. 1B.17E Ch. 1 - Prob. 1B.18E Ch. 1 - Prob. 1B.19E Ch. 1 - Prob. 1B.21E Ch. 1 - Prob. 1B.22E Ch. 1 - Prob. 1B.23E Ch. 1 - Prob. 1B.24E Ch. 1 - Prob. 1B.25E Ch. 1 - Prob. 1B.26E Ch. 1 - Prob. 1B.27E Ch. 1 - Prob. 1B.28E Ch. 1 - Prob. 1C.1AST Ch. 1 - Prob. 1C.1BST Ch. 1 - Prob. 1C.1E Ch. 1 - Prob. 1C.2E Ch. 1 - Prob. 1C.3E Ch. 1 - Prob. 1C.7E Ch. 1 - Prob. 1D.1AST Ch. 1 - Prob. 1D.1BST Ch. 1 - Prob. 1D.2AST Ch. 1 - Prob. 1D.2BST Ch. 1 - Prob. 1D.1E Ch. 1 - Prob. 1D.2E Ch. 1 - Prob. 1D.3E Ch. 1 - Prob. 1D.4E Ch. 1 - Prob. 1D.5E Ch. 1 - Prob. 1D.6E Ch. 1 - Prob. 1D.7E Ch. 1 - Prob. 1D.9E Ch. 1 - Prob. 1D.10E Ch. 1 - Prob. 1D.11E Ch. 1 - Prob. 1D.12E Ch. 1 - Prob. 1D.13E Ch. 1 - Prob. 1D.14E Ch. 1 - Prob. 1D.15E Ch. 1 - Prob. 1D.16E Ch. 1 - Prob. 1D.17E Ch. 1 - Prob. 1D.18E Ch. 1 - Prob. 1D.19E Ch. 1 - Prob. 1D.20E Ch. 1 - Prob. 1D.21E Ch. 1 - Prob. 1D.22E Ch. 1 - Prob. 1D.23E Ch. 1 - Prob. 1D.24E Ch. 1 - Prob. 1D.25E Ch. 1 - Prob. 1D.26E Ch. 1 - Prob. 1E.1AST Ch. 1 - Prob. 1E.1BST Ch. 1 - Prob. 1E.2AST Ch. 1 - Prob. 1E.2BST Ch. 1 - Prob. 1E.1E Ch. 1 - Prob. 1E.2E Ch. 1 - Prob. 1E.3E Ch. 1 - Prob. 1E.4E Ch. 1 - Prob. 1E.5E Ch. 1 - Prob. 1E.7E Ch. 1 - Prob. 1E.8E Ch. 1 - Prob. 1E.9E Ch. 1 - Prob. 1E.10E Ch. 1 - Prob. 1E.11E Ch. 1 - Prob. 1E.12E Ch. 1 - Prob. 1E.13E Ch. 1 - Prob. 1E.14E Ch. 1 - Prob. 1E.15E Ch. 1 - Prob. 1E.16E Ch. 1 - Prob. 1E.17E Ch. 1 - Prob. 1E.18E Ch. 1 - Prob. 1E.19E Ch. 1 - Prob. 1E.20E Ch. 1 - Prob. 1E.21E Ch. 1 - Prob. 1E.22E Ch. 1 - Prob. 1E.23E Ch. 1 - Prob. 1E.24E Ch. 1 - Prob. 1E.25E Ch. 1 - Prob. 1E.26E Ch. 1 - Prob. 1F.1AST Ch. 1 - Prob. 1F.1BST Ch. 1 - Prob. 1F.2AST Ch. 1 - Prob. 1F.2BST Ch. 1 - Prob. 1F.3BST Ch. 1 - Prob. 1F.1E Ch. 1 - Prob. 1F.2E Ch. 1 - Prob. 1F.3E Ch. 1 - Prob. 1F.4E Ch. 1 - Prob. 1F.5E Ch. 1 - Prob. 1F.6E Ch. 1 - Prob. 1F.7E Ch. 1 - Prob. 1F.8E Ch. 1 - Prob. 1F.10E Ch. 1 - Prob. 1F.11E Ch. 1 - Prob. 1F.12E Ch. 1 - Prob. 1F.13E Ch. 1 - Prob. 1F.14E Ch. 1 - Prob. 1F.15E Ch. 1 - Prob. 1F.17E Ch. 1 - Prob. 1F.18E Ch. 1 - Prob. 1F.19E Ch. 1 - Prob. 1F.22E Ch. 1 - Prob. 1.1E Ch. 1 - Prob. 1.2E Ch. 1 - Prob. 1.3E Ch. 1 - Prob. 1.9E Ch. 1 - Prob. 1.10E Ch. 1 - Prob. 1.11E Ch. 1 - Prob. 1.12E Ch. 1 - Prob. 1.13E Ch. 1 - Prob. 1.14E Ch. 1 - Prob. 1.15E Ch. 1 - Prob. 1.17E Ch. 1 - Prob. 1.19E Ch. 1 - Prob. 1.21E Ch. 1 - Prob. 1.22E Ch. 1 - Prob. 1.23E Ch. 1 - Prob. 1.24E Ch. 1 - Prob. 1.25E Ch. 1 - Prob. 1.27E Ch. 1 - Prob. 1.28E Ch. 1 - Prob. 1.31E

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