Chapter 12, Problem 76E

Interpretation Introduction

Interpretation:

A solid solution of the given semiconductors is form to result the given general empirical formula of the semiconductors. The composition of resulting semiconductor for the given wavelength of the band gap is to be identified.

Concept Introduction: The band gap of ${\text{GaP}}_x{\text{As}}_{\text{1-}x}$ is calculated by the formula,

$\text{Band}\text{gap}\left({\text{GaP}}_x{\text{As}}_{\text{1-}x}\right)=\text{Band}\text{gap}\left(\text{GaAs}\right)+x\left(\text{Band}\text{gap}\left(\text{GaP}\right)-\text{Band}\text{gap}\left(\text{GaAs}\right)\right)$

The wavelength corresponding to the band gap is calculated by the formula,

$\text{Wavelength}=\frac{\text{Plank's}\text{constant}\times \text{speed}\text{of}\text{the}\text{light}}{\text{Band}\text{gap}}$

To determine: The composition of resulting semiconductor for the resulting wavelength of the band gap.