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KCET2022ChemistrySolid State

Vacant space in body centered cubic lattice unit cell is about

Options

  1. A10 %
  2. B23 %
  3. C46 %
  4. D32 %

Correct answer

D. 32 %

Step-by-step solution

For bcc, number of atoms =2 aligned Percentage packing fraction & = V_ sphere V_ unit cell 100 & = 2 4 3 r^2 ( 4 3 r )^3 100=68 % aligned Fraction of free space in bcc in 100-68=32 % .

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