Question

Arrange the following in the increasing order of packing fraction. A. Diamond
B. Face-centered cubic
C. Body-centered cubic
D. Simple cubic Choose the correct answer from the options given below:

• A. A, D, C, B
• B. D, C, B, A
• C. B, C, D, A
• D. C, D, A, B

Hint:

FCC has maximum packing fraction among common cubic lattices.

Answer 1

The Correct Option is A

Concept:
Packing fraction represents fraction of volume occupied by atoms.
Step 1:
\[ \text{Diamond}=0.34 \] \[ \text{Simple cubic}=0.52 \] \[ \text{BCC}=0.68 \] \[ \text{FCC}=0.74 \]
Step 2:
\[ 0.34<0.52<0.68<0.74 \]
Step 3:
\[ \text{Diamond}<\text{SC}<\text{BCC}<\text{FCC} \]
Step 4:
\[ A,\quad D,\quad C,\quad B \] \[ \boxed{\text{Correct Option = (1)}} \]