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Question

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

A
The number of the nearest neighbours for an atom present in the topmost layer is 12.
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B
The efficiency of atom packing is 74%.
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C
The number of octahedral and tetrahedral voids per atom are 1 and 2, respectively.
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D
The unit cell edge length is 22 times the radius of the atom.
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Solution

The correct options are
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 22 times the radius of the atom.
The middle layers will have 12 nearest neighbours. The top-most layer will have 9 nearest neighbours.
4r=a2, where ‘a’ is edge length of unit cell and ‘r’ is radius of atom. Thus a=22r.

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