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🧪 Chemistry  ·  Solid State  ·  NEET & JEE

The number of atoms in the unit cell of a metal that crystallises in the hexagonal close-packed (hcp) structure is:

Answer: 6.

  • A 2
  • B 6
  • C 4
  • D 12

Correct answer: B. 6

Explanation: The hcp unit cell contains 6 atoms (12 corners x 1/6 + 2 face centres x 1/2 + 3 interior). Its packing efficiency is 74%, the same as ccp/fcc.

Cubic Unit Cells: Atom PositionsSimple CubicCN=6, 52.4% packedBody-Centred (BCC)CN=8, 68% packedFace-Centred (FCC)CN=12, 74% packed (densest)Corner atoms (shared by 8 cells) shown lighter; body/face-centre atoms shown solid

The three cubic unit cells: Simple Cubic has atoms only at corners; Body-Centred adds one atom at the centre; Face-Centred adds one atom at the centre of each of the 6 faces, giving the highest packing efficiency.

Concept context

Explore the ordered world of crystalline solids: unit cells, packing, defects, and how structure determines electrical and magnetic properties.

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