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Question

The atomic packing factor is the highest in which of the following cubic lattice system?

A.

Simple Cubic

B.

Body centered Cubic (BCC)

C.

Face Centered Cubic (FCC)

D.

Diamond Cubic

Answer ( Option C)

Face Centered Cubic (FCC)

Solution

Atomic packing factor for various cubic lattice system :

Simple cubic : 0.52

Body Centered Cubic (BCC) : 0.68

Face Centered Cubic (FCC) : 0.74

Diamond Cubic : 0.34

Hence, the correct option is (C).

&Key Points:-

●Atomic packing factor is fraction of volume in a crystal structure that is occupied by constituent particles.

Where, N is no. of particle and  V is volume.

●It is dimensionless quantity and always less than unity.

Also named as packing efficiency or packing fraction.

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