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chemistry/tetrahedral-voids

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Tetrahedral Voids in an FCC Unit Cell

Locate tetrahedral voids in an FCC crystal, understand their geometry, and learn how they relate to real crystal structures like CaF2 and diamond.

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Key Concepts

Tetrahedral Coordination

A tetrahedral void is surrounded by 4 atoms at the corners of a tetrahedron, giving a coordination number of 4.

Position & Count in FCC

In an FCC unit cell there are 8 tetrahedral voids, located at fractional coordinates such as (1/4, 1/4, 1/4).

Crystal Examples

CaF2 (fluorite) fills all 8 tetrahedral voids; Sphalerite (ZnS) fills only half (4) in an alternating pattern.

Understanding Tetrahedral Voids

**Tetrahedral Voids** are the smallest interstitial sites in a crystal lattice, formed by four adjacent spheres positioned at the vertices of a regular tetrahedron.

In a **Face-Centered Cubic (FCC)** unit cell, there are exactly **eight tetrahedral voids**. Each void is located at the center of the eight sub-cubes (octants) that comprise the main unit cell volume.

Use our interactive visualizer to explore how these voids define critical structures like **Fluorite (CaF₂)**, **Sphalerite (ZnS)**, and the **Diamond** lattice, where varying degrees of void occupancy dictate the material's properties.

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