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Physical Chemistry

Unit Cell

Definition and meaning of Unit Cell in chemistry.

A unit cell is the smallest repeating unit of a crystal lattice that, when replicated in all three dimensions, generates the entire crystalline structure.

In more detail

Each unit cell is characterized by three lattice parameters: the edge lengths a, b, and c, and the angles α, β, and γ between those edges. Atoms or ions within the unit cell occupy specific fractional coordinates. The three most common types are simple cubic, body-centered cubic (BCC), and face-centered cubic (FCC), which differ in atomic positioning and packing efficiency. Understanding unit cells is essential for predicting material properties, calculating crystal density, and interpreting X-ray diffraction patterns.

Key facts

FieldPhysical Chemistry
Lattice parametersThree edge lengths (a, b, c) and three angles (α, β, γ)
Common typesSimple cubic, body-centered cubic (BCC), face-centered cubic (FCC)
Role in structureSmallest repeating pattern that generates the entire crystal when repeated infinitely
Example

Sodium chloride (NaCl) has a face-centered cubic unit cell in which each sodium ion is surrounded octahedrally by six chloride ions, and this arrangement repeats throughout the crystal.

Frequently asked questions

How many atoms are in a typical unit cell?

The number depends on the unit cell type; for example, a simple cubic cell contains 1 atom, BCC contains 2 atoms, and FCC contains 4 atoms per unit cell.

How is crystal density related to the unit cell?

Crystal density can be calculated from the unit cell dimensions and the number of atoms within it using the formula: density = (atoms per cell × atomic mass) / (volume of unit cell × Avogadro's number).

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