First slide

Crystal lattices and unit cells

Question

The correct statement(s) for cubic close packed (ccp) three dimensional structure is (are):

Moderate

A

the number of the nearest neighbours of an atom present in the topmost layer is 12.
B

the efficiency of atom packing is 74%.
C

the number of octahedral and tetrahedral voids per atom are 1 and 2, respectively.
D

the unit cell edge length is $2 \sqrt{2}$ times the radius of the atom.

Solution

CCP has a packing efficiency of 74%.
The nearest neighbours in the top most layer is not 12.
The number of tetrahedral and octahedral voids are 2 and 1 respectively per atom.
$The edge length is 2 \sqrt{2} times the radius of atom (\sqrt{2} a = 4 r)$

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