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How many space lattices does the Bravais lattices consist of?

How many space lattices does the Bravais lattices consist of? Correct Answer 14

Concept:

There are 14 possible Bravais lattices in three-dimensional space.

These 14 Bravais lattices are grouped into seven lattice system:

Triclinic, Monoclinic, Orthorhombic, Tetragonal, Rhombohedral, Hexagonal, and Cubic.

Following are the crystal system and their relationship:

Crystal System

Axial Relationships

Inter axial Angles

Cubic

a = b = c

α = β = γ = 90°

Hexagonal

a = b ≠ c

α = β = 90°, γ = 120°

Tetragonal

a = b ≠ c

α = β = γ = 90°

Rhombohedral (Trigonal)

a = b = c

α = β = γ ≠ 90°

Orthorhombic

α ≠ b ≠ c

α = β = γ = 90°

Monoclinic

a ≠ b ≠ c

α = γ = 90° ≠ β

Triclinic

A ≠ b ≠ c

α ≠ β ≠ γ ≠ 90°

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