Question:

The fraction of total volume occupied by the atoms present in a simple cube is:

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Simple cubic has the lowest packing efficiency among cubic lattices.
Updated On: Mar 18, 2026
  • π3√(2)
  • π4√(2)
  • π4
  • π6
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The Correct Option is D

Solution and Explanation


Step 1: Atoms in simple cubic unit cell.
A simple cubic unit cell contains one atom.
Step 2: Volume calculations.
Volume occupied by atom = (4)/(3)π r³ Volume of unit cell = (2r)³ = 8r³
Step 3: Packing fraction.
Packing fraction = (4)/(3)π r³8r³ = (π)/(6)
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