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Semiconductor Fundamentals · Topic 4 of 13

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Semiconductor FundamentalsLesson 4 of 13

Bandgap

The energy gap between the valence and conduction bands — the number that defines a semiconductor.

What you’ll learn

  • What the bandgap is and its units
  • Typical values for common materials
  • How the bandgap affects devices

Why it matters

Bandgap sets how easily carriers are created, the wavelengths a material emits or absorbs, and its temperature behaviour.

Explanation

The bandgap (Eg) is the minimum energy an electron needs to jump from the valence band to the conduction band, measured in electron-volts (eV). Silicon's is about 1.1 eV, germanium's about 0.66 eV, and gallium arsenide's about 1.4 eV. Insulators have gaps of several eV.

A smaller gap means carriers are generated more easily (higher intrinsic conductivity, more leakage); a larger gap suits high-temperature and high-power devices and sets the colour of LEDs and the response of photodetectors.

Visual explanation

Conduction band (empty)Valence band (filled)Eg
The same band diagram, now labelling the gap height Eg between the two bands.

Key terminology

Bandgap (Eg)
Energy needed to promote an electron to the conduction band.
Electron-volt (eV)
A convenient energy unit at the atomic scale.
Direct/indirect gap
Whether an electron can cross the gap without a momentum change — key for light emission.

Formula

E_photon = h · f = Eg (at the band edge)

A material tends to emit/absorb light with photon energy near its bandgap.

Example

GaN's wide ~3.4 eV gap corresponds to ultraviolet/blue light — which is why it enabled efficient blue LEDs.

Common mistakes

Real-world application

Wide-bandgap SiC and GaN power devices switch faster and run hotter than silicon.

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Bandgap

Up next

Intrinsic semiconductor

Semiconductor Fundamentals

A pure, undoped semiconductor where electrons and holes come only from thermal generation.

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