Question

An element occurring in the bcc structure has \( 12.08 \times 10^{23} \) unit cells. The total number of atoms of the element in these cells will be:

• A. \( 24.16 \times 10^{23} \)
• B. \( 36.18 \times 10^{23} \)
• C. \( 6.04 \times 10^{23} \)
• D. \( 12.08 \times 10^{23} \)

Hint:

In a bcc structure, each unit cell contains 2 atoms, so to find the total number of atoms, multiply by 2.

Answer 1

The Correct Option is A

Step 1: In the body-centered cubic (bcc) structure, there are 2 atoms per unit cell.
Step 2: The total number of atoms in \( 12.08 \times 10^{23} \) unit cells is \( 2 \times 12.08 \times 10^{23} = 24.16 \times 10^{23} \) atoms.

Final Answer: \[ \boxed{24.16 \times 10^{23}} \]