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A metal crystallizes in a face centred cubic structure. If the edge length of its unit cell is ' a ' , the closest approach between two atoms in the metallic crystal will be

Options

  1. A2 2 a
  2. B2 a
  3. Ca 2
  4. D2 a

Correct answer

C. a 2

Step-by-step solution

FCC   unit cell: eight corners with six faces r   +   2 r   + r   = 2 a 4 r   = 2 a Closest   distance   in   fcc 2 r   = 2 a 2             =   2 a 2 × 2 = a 2

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