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Q.

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

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a

The number of the nearest neightbours of an atom present in the topmost layer is 12

b

The efficiency of atom packing is 74% 

c

The number of octahedral and tetrachedral  voids per  atom are 1 and 2, respectively 

d

The unit cell edge length is 22  times the radius of the atom 

answer is B, C, D.

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Detailed Solution

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CCP is ABC ABC… type packing 
(a) In the topmost layer, each atom is in contact with 6 at atoms in same layer and 3 atoms below this layer. Thus, the number, of nearest neighbours is 9.
(b)  packing fraction  =4×43πr3(4r2)3=(0.74)
( c) Each fcc unit has effective no . of atoms = 4
Octahedral void =4
Tetrahedal void =8
 

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