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Question

In an FCC unit cell, what fraction of the edge is not covered by atoms?
  1. 0.134
  2. 0.293
  3. 0.26
  4. 0.32


Solution

The correct option is B 0.293
Fraction of the edge that is not covered by atoms =a2ra (a = length of edge of the unit cell, r = radius of the atom)
In an FCC unit cell, r=a22
Therefore, fraction of edge that is not covered=a2×a22a=0.293
Fraction of the edge that is not covered = 0.293

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