Question:
Which of the following represents octahedral interstitial site in an FCC lattice?
Which of the following represents octahedral interstitial site in an FCC lattice?
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FCC has 4 octahedral and 8 tetrahedral voids per unit cell.
Updated On: Jun 29, 2026
- $(\frac{1}{4},\frac{1}{4},\frac{1}{4})$
- $(\frac{1}{2},\frac{1}{2},\frac{1}{2})$
- $(\frac{1}{3},\frac{1}{3},\frac{1}{3})$
- (0,0,0)
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The Correct Option is B
Solution and Explanation
Concept:
In FCC crystals:
• Octahedral sites are located at the center of the unit cell and edge centers
• Tetrahedral sites are located at $(\frac{1}{4},\frac{1}{4},\frac{1}{4})$
Step 1: Identify octahedral site.
The body center position: \[ \left(\frac{1}{2},\frac{1}{2},\frac{1}{2}\right) \] is a classic octahedral interstitial position in FCC.
Step 2: Differentiate from tetrahedral site.
• $(\frac{1}{4},\frac{1}{4},\frac{1}{4})$ → tetrahedral site
• $(\frac{1}{2},\frac{1}{2},\frac{1}{2})$ → octahedral site Final Answer: \[ \boxed{\left(\frac{1}{2},\frac{1}{2},\frac{1}{2}\right)} \]
• Octahedral sites are located at the center of the unit cell and edge centers
• Tetrahedral sites are located at $(\frac{1}{4},\frac{1}{4},\frac{1}{4})$
Step 1: Identify octahedral site.
The body center position: \[ \left(\frac{1}{2},\frac{1}{2},\frac{1}{2}\right) \] is a classic octahedral interstitial position in FCC.
Step 2: Differentiate from tetrahedral site.
• $(\frac{1}{4},\frac{1}{4},\frac{1}{4})$ → tetrahedral site
• $(\frac{1}{2},\frac{1}{2},\frac{1}{2})$ → octahedral site Final Answer: \[ \boxed{\left(\frac{1}{2},\frac{1}{2},\frac{1}{2}\right)} \]
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