Atomic Structure & Crystal Lattices

Crystal Structures

Unit cells, the diamond cubic structure, and how atoms arrange themselves

What Is a Crystal?

What Is a Crystal?

A crystal is a solid where atoms are arranged in a highly ordered, repeating 3D pattern. This periodic arrangement extends across the entire material — in a silicon wafer, trillions of atoms are arranged in perfect order.

The smallest repeating unit of a crystal is called the unit cell. Common crystal structures include:

  • Simple cubic (SC): Atoms at cube corners only — rare in nature
  • Body-centered cubic (BCC): Atoms at corners + one in the center — iron, tungsten
  • Face-centered cubic (FCC): Atoms at corners + center of each face — copper, aluminum, gold
  • Diamond cubic: FCC with 4 additional atoms inside — silicon, germanium, diamond

Key Concept: Silicon's Diamond Cubic Structure

Silicon crystallizes in the diamond cubic structure — an FCC lattice with 4 additional atoms placed inside the cube. Each atom is bonded to exactly 4 neighbors in a tetrahedral arrangement. The lattice constant (cube edge length) is 5.43 Å (0.543 nm).

Why Single Crystals Matter

Why Single Crystals Matter

For semiconductor devices, the silicon must be a single crystal — one continuous crystal lattice across the entire wafer with no grain boundaries.

Why does this matter?

  • Uniform electrical properties: Grain boundaries scatter electrons and create unpredictable behavior. A single crystal ensures every transistor on the wafer sees the same material.
  • Predictable doping: Dopant atoms substitute into specific lattice sites. In a polycrystalline material, dopants would segregate at grain boundaries.
  • Smooth surfaces: Single crystals can be polished to atomic smoothness for lithography.

This is why the Czochralski crystal growth process is so important — it produces large, defect-free single crystals.

Analogy: A Brick Wall

Imagine building a wall. A single crystal is like a wall made from one perfectly smooth, continuous brick — no cracks or gaps. Polycrystalline material is like a wall of randomly oriented bricks with gaps (grain boundaries) between them. Water (electrons) leaks through the gaps unpredictably.

Knowledge Check

Knowledge Check

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What crystal structure does silicon have?