B. How many centres of octahedral voids
lie in the given plane of FCC unit cell?
a
2) 1
1) Zero
3) 4
4) 5
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Answered by
2
Answer:
A Octahedral Voids have One center
Answered by
0
Final answer:
The correct answer is option (2) 1.
Given that: We are given a plane in the FCC unit cell.
To find: We have to find the correct answer.
Explanation:
- In closed-packed structures, some small amounts of space get trapped in between the spheres and therefore lie vacant; these interstitial spaces are called voids or holes.
- The vacant space between six spheres having an octahedral arrangement in a close-packed structure is called an octahedral void.
- Octahedral voids in a unit cell of FCC lattice are located in two positions:
(i) Edge centres
(ii) Body centre
- Consider a unit cell of FCC lattice, the body centre of the lattice is not occupied by any atom but it is surrounded by the six atoms at face centres. When each atom at six face centres is connected to the other four adjacent face centres, it generates a regular octahedron. Therefore the FCC unit cell has one octahedral void at the body centre.
- Here, the given plane passes through only the body centre.
So the number of octahedral voids in this plane = 1
Hence, the required answer is option (2) 1.
- There is only one octahedral void present at the body centre of an FCC lattice.
Hence, options (1) Zero, (3) 4 and (4) 5, are wrong answers.
To know more about the concept please go through the links
https://brainly.in/question/17042034
https://brainly.in/question/30699622
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