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Which one of the following unit cell parameters represents a tetragonal crystal system?

  • A.a = b = c ; α = β = γ ≠ 90
  • B.a ≠ b ≠ c ; α = β = γ = 90
  • C.a = b ≠ c ; α = β = 90, γ = 120
  • D.a = b ≠ c ; α = β = γ = 90

Answer: D

The tetragonal system has a = b ≠ c ; α = β = γ = 90.

A tetragonal cell is a cube stretched or squashed along one axis: two equal edges, a third of different length, and all three angles 90 degrees.

a = b = c with all angles equal but not 90 degrees is rhombohedral (trigonal). a ≠ b ≠ c with all angles 90 degrees is orthorhombic. a = b ≠ c with α = β = 90 and γ = 120 degrees is hexagonal.

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