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Which of the following has the highest packing efficiency?

Answer: Face-centred cubic.

  • A Simple cubic
  • B Body-centred cubic
  • C Face-centred cubic
  • D Orthorhombic

Correct answer: C. Face-centred cubic

Explanation: Both FCC (ccp) and HCP achieve the maximum packing efficiency of 74%, higher than SC (52.4%) or BCC (68%).

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.

Read the full Solid State notes →