Band Theory & Electrical Properties

Optical & Thermal Properties

How bandgap affects light absorption, emission, and thermal behavior

Light and Semiconductors

Light and Semiconductors

The bandgap determines how a semiconductor interacts with light:

  • Absorption: Photons with energy ≥ Eg can excite electrons across the bandgap. Silicon absorbs visible light (which is why silicon wafers are opaque and dark-colored).
  • Transparency: Photons with energy < Eg pass through. Silicon is transparent to infrared light with wavelength > 1.1 µm.
  • Emission: When electrons fall from conduction to valence band, they can emit photons. Efficient in direct bandgap materials (LEDs), inefficient in silicon.

Applications based on light-semiconductor interactions:

  • Solar cells: Silicon absorbs sunlight and generates electron-hole pairs → electricity
  • Image sensors: Each pixel is a photodiode that converts light to charge (your phone camera)
  • LEDs: GaN and GaAs emit light when carriers recombine across the direct bandgap

Thermal Properties

Thermal Properties

Heat management is critical in semiconductor devices:

  • Thermal conductivity: Silicon conducts heat reasonably well (150 W/m·K) — better than most semiconductors but worse than metals like copper (400 W/m·K). SiC (490 W/m·K) and diamond (2000 W/m·K) are much better.
  • Thermal runaway: As temperature rises, leakage current increases, generating more heat, which increases temperature further. This positive feedback can destroy a chip if not managed.
  • Self-heating: Transistors generate heat during switching. At billions of transistors switching billions of times per second, total heat dissipation can reach 100–300W in high-performance processors.

Key Concept: Power Density

Modern chips dissipate power at 100+ W/cm² — comparable to a nuclear reactor's fuel rod surface. This is why cooling solutions (heatsinks, fans, liquid cooling) are essential, and why power efficiency is as important as raw performance.

Knowledge Check

Knowledge Check

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Why is silicon opaque to visible light but transparent to infrared?