Question

Close packing is maximum in the crystal lattice of-

• A. Face-centred cubic
• B. Body-centred cubic
• C. Simple cubic
• D. Primitive cube

Answer 1

The correct option is A

Face-centred cubic

Explanation for the correct option:

Option(A):Face-centred cubic

• Close packing is generally defined as the packing of the sphere in such a way that the atoms occupy maximum available space and there is minimum empty space.
• Close packing basically depends on the packing efficiency of the given crystal lattice.
• The packing efficiency of the face-centered cubic lattice has been calculated as $74\%.$

Explanation for the incorrect options:

Option(B):Body-centred cubic

• Body-centered cubic lattice having a packing efficiency of $68\%,$ does not represent the maximum Close packing.
• Hence, the given option does not coincide with the correct concept.

Option(C):Simple cubic

• Simple cubic have the minimum Close packing with a packing efficiency of $52.4\%.$
• Thus the given option does not represent the correct concept.

Option(D):Primitive cube

• Primitive cube cubic lattice having a packing efficiency of$68\%$, does not represent the maximum Close packing.
• Hence, the given option is the incorrect one.

Hence, Close packing is maximum in the crystal lattice of Face-centred cubic.