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JEE Advanced levelOne or more correct optionsDifficulty 3 of 3ss041

Which of the following statements about close-packed structures are correct?

  1. AThe hcp hexagonal unit cell contains 6 atoms and each atom has coordination number 12.
  2. BIn a bcc structure the coordination number is 8 and the packing efficiency is about 68%.
  3. CThe radius of the largest sphere that fits in an octahedral void of ccp spheres of radius is about .
  4. DThe radius of the largest sphere that fits in a tetrahedral void of ccp spheres of radius is about .

Answer: A, B, C

hcp has 6 atoms per hexagonal cell with CN 12; bcc has CN 8 and 68% packing; the octahedral void radius is . A tetrahedral void is smaller, with radius , so the last statement is false.
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