Question:
What is the percentage of unoccupied volume in BCC structure?
What is the percentage of unoccupied volume in BCC structure?
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Remember the packing efficiencies: Simple cubic = 52%, BCC = 68%, FCC/CCP = 74%. Unoccupied = 100 – packing efficiency.
Updated On: Jun 4, 2026
- 32%
- 74%
- 26%
- 68%
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The Correct Option is A
Solution and Explanation
Step 1: Understanding the Question:
We need the percentage of unoccupied (void) volume in a body-centered cubic (BCC) crystal lattice.
Step 2: Key Formula or Approach:
Packing efficiency of BCC is 68%. Unoccupied volume = 100% – packing efficiency.
Step 3: Detailed Explanation:
For BCC, the packing efficiency (fraction of volume occupied by atoms) is approximately 68%. Therefore, the unoccupied volume = \(100\% - 68\% = 32\%\).
Step 4: Final Answer:
The unoccupied volume percentage is 32%, option (A).
We need the percentage of unoccupied (void) volume in a body-centered cubic (BCC) crystal lattice.
Step 2: Key Formula or Approach:
Packing efficiency of BCC is 68%. Unoccupied volume = 100% – packing efficiency.
Step 3: Detailed Explanation:
For BCC, the packing efficiency (fraction of volume occupied by atoms) is approximately 68%. Therefore, the unoccupied volume = \(100\% - 68\% = 32\%\).
Step 4: Final Answer:
The unoccupied volume percentage is 32%, option (A).
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