Elements Of Physical Chemistry
Elements Of Physical Chemistry
7th Edition
ISBN: 9780198727873
Author: ATKINS, P. W. (peter William), De Paula, Julio
Publisher: Oxford University Press
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Chapter 9, Problem 9A.3E
Interpretation Introduction

Interpretation:

The valence bond wavefunction for the one sigma and two pi bonds in a nitrogen molecule has to be written.

Concept Introduction:

In molecular hydrogen H-H, the two ground-state H atoms are far apart, electron 1 is

in ψA, the 1s orbital of atom A, denoted ψA(1) , and electron 2 is in ψB, the 1s orbital of atom B, denoted ψB(2).  The wavefunction for the two-electron system can be written as ψ(1,2)=ψA(1)ψA(2).  An equally likely arrangement is for electron 1 to escape from A and be found on B and for electron 2 to be on A and the wave function is ψ(1,2)=ψA(2)ψA(1).  According to quantum mechanics, the addition of two wave functions gives,

    ψH-H(1,2)=ψA(1)ψA(2)+ψA(2)ψA(1)

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INTRODUCTION TO MOLECULAR QUANTUM MECHANICS -Valence bond theory - 1; Author: AGK Chemistry;https://www.youtube.com/watch?v=U8kPBPqDIwM;License: Standard YouTube License, CC-BY