   Chapter 12, Problem 55GQ

Chapter
Section
Textbook Problem

The band gap in gallium arsenide is 140 kJ/mol. What is the maximum wavelength of light needed to excite an electron to move from the valence band to the conduction band?

Interpretation Introduction

Interpretation:

The maximum wave length of light that are needed to excite an electron to move from the valence band to conduction band has to be calculated.

Concept introduction:

The Planck–Einstein relation is given below,

E = hν

ν = cλ

Explanation

The maximum wavelength of light is needed is to excite the electron from the valence band to conduction band is given below,

The Planck–Einstein relation is given below,

E = hνν = cλE = hcλtherefore,λ = hcEh=6.62×10-34c=108

The band gab in gallium arsenide is 140 KJ/mole,

The conversion of KJ to J IS given below,

1kJ = 1000J140 KJ/mole=140000J/moleforatom,E=140000J/mole6.023×1023E=2

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