   # The band gap in aluminum phosphide (AlP) is 2.5 electronvolts (1 eV = 1.6 × 10 −19 J). What wavelength of light is emitted by an AlP diode? ### Chemistry: An Atoms First Approach

2nd Edition
Steven S. Zumdahl + 1 other
Publisher: Cengage Learning
ISBN: 9781305079243

#### Solutions

Chapter
Section ### Chemistry: An Atoms First Approach

2nd Edition
Steven S. Zumdahl + 1 other
Publisher: Cengage Learning
ISBN: 9781305079243
Chapter 9, Problem 67E
Textbook Problem
47 views

## The band gap in aluminum phosphide (AlP) is 2.5 electronvolts (1 eV = 1.6 × 10−19 J). What wavelength of light is emitted by an AlP diode?

Interpretation Introduction

Interpretation:

The wavelength of the light emitted by Aluminium phosphide diode has to be calculated.

Concept introduction:

According to Band theory of solids, the energy levels of a substance are imagined as “bands”.  There are two types of bands – valence band and conduction band. Low lying bands are valence band and conduction band where the conduction takes place, lies above the valence band. The energy gap between the valence band and conduction band is called “band gap”. The energy gap can be represented by Planck’s equation,

E=where ν=cλE=energyh=Planck's constantν=frequencyc=velocityoflightλ=wavelength

### Explanation of Solution

Explanation

Calculate the wavelength of the light emitted by Aluminium phosphide.

givendata:E=2.5eV=2.5eV×1.6×10-19J/eV=4×10-19Jknown data:h=6.63×10-34Jsc=2.998×108m/sE== </

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