Zaymiey

🧪 Chemistry  ·  Solid State  ·  NEET & JEE

The c/a axial ratio in an ideal HCP structure is:

Answer: 1.633.

  • A 1.414
  • B 1.633
  • C 1.732
  • D 2.000

Correct answer: B. 1.633

Explanation: For an ideal HCP (hard spheres of equal size touching), the c/a ratio is sqrt(8/3) = 1.633. Metals with c/a close to this value (e.g., Mg = 1.624) approach ideal packing.

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 →