Question:

Which premitive unit cell has unequal edge lengths (\(a \ne b \ne c\)) and all axial angles different from \(90^\circ\)?

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Recall the seven crystal systems: only the triclinic system has a, b, c unequal and \(\alpha \ne \beta \ne \gamma \ne 90^\circ\).
Updated On: Nov 5, 2026
  • Hexagonal
  • Tetragonal
  • Triclinic
  • Monoclinic
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The Correct Option is C

Solution and Explanation

Crystal systems:
Hexagonal: \(a=b\ne c\), \(\alpha=\beta=90^\circ\), \(\gamma=120^\circ\).
Tetragonal: \(a=b\ne c\), all angles \(90^\circ\).
Monoclinic: \(a\ne b\ne c\), \(\alpha=\gamma=90^\circ\), \(\beta\ne 90^\circ\).
Triclinic: \(a\ne b\ne c\), \(\alpha\ne\beta\ne\gamma\ne 90^\circ\).
Answer: (3) Triclinic
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