Question

The packing efficiency of the face-centered cubic (fcc), body-centered cubic (bcc), and simple primitive cubic (pc) lattices follows the order:

• A. fcc > bcc > pc
• B. bcc > fcc > pc
• C. pc < bcc < fcc
• D. bcc < pc < fcc

Answer 1

The correct option is A

fcc > bcc > pc

Explanation for correct option

(A)fcc > bcc > pc

Packing efficiency

• Packing efficiency is the percentage of total space filled by the particles.
• The packing efficiency of a face-centered cubic lattice is $74\%$.
• The packing efficiency of a body-centered cubic lattice is $68\%$.
• The packing efficiency of the simple cubic lattice is $52.4\%$.
• So, the order of packing efficiency order is as follows:-
• fcc > bcc > pc

Explanation for incorrect option

The packing efficiency of the face-centered cubic (fcc), body-centered cubic (bcc), and simple primitive cubic (pc) lattices follows the order fcc > bcc > pc. Hence, options (B), (C),and (D) are incorrect.

Hence, option (A) is correct. The order of packing efficiency is fcc > bcc > pc.