Question:

Which of the following crystals has the unit cell such that a=b≠c and α=β=90°,γ=120° ?

Updated On: Apr 7, 2025
  • Zinc blende
  • Graphite
  • Cinnabar
  • Potassium dichromate
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The Correct Option is B

Approach Solution - 1

  • The unit cell described in the question where a = b ≠ c, α = β = 90°, and γ = 120° corresponds to the hexagonal crystal system. This is characteristic of graphite, where the carbon atoms are arranged in hexagonal layers.
  • Graphite has a hexagonal unit cell, with layers of carbon atoms arranged in a 2D honeycomb structure, and the angle between the axes is 120° for γ. This geometry fits the given unit cell characteristics.

Thus, the correct answer is (B) Graphite.

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Approach Solution -2

The structure described corresponds to Graphite. In graphite, the unit cell is hexagonal with the parameters \(a=b=c\) and \(\gamma = 120^\circ\), meaning it forms a hexagonal crystal system.

  • Zinc blende has a tetrahedral crystal system.
  • Cinnabar has a rhombohedral structure.
  • Potassium dichromate crystallizes in an orthorhombic system.
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