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In a face centred cubic lattice, a unit ...

In a face centred cubic lattice, a unit cell is shared equally by how many unit cells ?

A

6

B

4

C

2

D

8

Text Solution

Verified by Experts

The correct Answer is:
A
Formula of solid `= XY_(3)`
For 3Y, there are 6 tetrahedral voids and 3 octahedral voids.
If X is present in tetrahedral voids, then % of tetrahedral voids occupies.
`= ( 1)/( 6) xx 100 = 16.66%`
If X is present in octrahedral voids, then % of octahedral voids occupied.
`= ( 1)/( 3) xx 100 = 33.33%`
Therefore, the correct answer is 33% of octahedral voids.
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