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JIPMER2014ChemistrySolid State

Percentage of free space in a body centre cubic unit cell is

Options

  1. A30 %
  2. B32 %
  3. C34 %
  4. D28 %

Correct answer

B. 32 %

Step-by-step solution

Packing fraction = Volume occupied by atoms in a unit cell Volume of the unit cell For body centred cube, Packing fraction = 2 4 3 r^3 ( 4 r 3 )^3 = 3 8 =0.68 Volume occupied =68 % and volume vacant =32 %

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