Chapter 12, Problem 75E

Interpretation Introduction

Interpretation:

A solid solution of the given semiconductors is form to result the given general empirical formula of the semiconductors. The band gap for the given empirical formula of the semiconductor 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 band gap energy of ${\text{GaP}}_{\text{0}\text{.5}}{\text{As}}_{\text{0}\text{.5}}$ and the corresponding wavelength.