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The number of octahedral void in bcc str...

The number of octahedral void in bcc structure is:
(a)0
(b)1
(c)2
(d)4

A

(a) 0

B

(b) 1

C

(c) 2

D

(d) 4

Text Solution

AI Generated Solution

The correct Answer is:
To determine the number of octahedral voids in a body-centered cubic (BCC) structure, we can follow these steps: ### Step-by-Step Solution: 1. **Understanding the BCC Structure**: - A body-centered cubic (BCC) unit cell consists of atoms located at each of the eight corners of the cube and one atom at the center of the cube. 2. **Identifying Octahedral Voids**: - An octahedral void is a space in the crystal lattice where an atom can fit, surrounded by six atoms. In a BCC structure, we need to analyze the arrangement of atoms to see if there are any regular octahedral voids. 3. **Counting Regular Octahedral Voids**: - In a BCC unit cell, the arrangement does not allow for the formation of regular octahedral voids. The body-centered atom and the corner atoms do not create a symmetrical arrangement that defines a regular octahedral void. 4. **Distorted Octahedral Voids**: - While there are some distorted octahedral voids present due to the geometry of the BCC structure, these are not counted as regular octahedral voids. 5. **Conclusion**: - Since BCC does not have any regular octahedral voids, the number of octahedral voids in a BCC structure is **0**. ### Final Answer: The number of octahedral voids in BCC structure is **0** (Option A). ---
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