Part of PC-11 — Solid State

Crystal Lattice and Unit Cells

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A crystal lattice is a regular, three-dimensional arrangement of constituent particles (atoms, ions, or molecules) represented by points (lattice points).

A unit cell is the smallest repeating unit of a crystal lattice that, when stacked in all three directions, generates the entire crystal.

Key numbers to memorise:

  • Total crystal systems = 7
  • Total Bravais lattices = 14
  • For NEET: focus on 3 cubic unit cells (SC, BCC, FCC) + HCP

Unit cell parameters:

  • Edge lengths: a, b, c
  • Interaxial angles: α, β, γ
  • For cubic systems: a = b = c, α = β = γ = 90°

Atom sharing at different positions:

PositionNumber of cells sharingContribution per cell
Corner81/8
Face centre21/2
Body centre11
Edge centre41/4

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