# If atom is assumed to a hard sphere, then the value of highest APF (Atomic Packing factor) in metals will be:

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If atom is assumed to a hard sphere, then the value of highest APF (Atomic Packing factor) in metals will be:
1. 0.65
2. 0.74
3. 0.98
4. 0.84

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Correct Answer - Option 2 : 0.74

Explanation:

Atomic Packing Factor:

Packing factor is the fraction of the volume of a unit cell that is occupied by "hard sphere" atoms or ions.

It is the sum of the sphere volumes of all atoms within a unit cell (assuming the atomic hard - sphere model) divided by the unit cell volume (total volume).

The atomic packing factor of different crystal structures is given in the table below:

 Structure Atomic packing factor BCC 0.68 HCP 0.74 FCC 0.74 Diamond cubic 0.34 SC 0.52