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In a unit cell, atoms (A) are present at...

In a unit cell, atoms `(A)` are present at all corner lattices, `(B)` are present at alternate faces and all edge centres. Atoms `(C)` are present at face centres left from `(B)` and one at each body diagonal at disntance of `1//4th` of body diagonal from corner.
Total fraction of voids occupied are

A

0.58

B

0.25

C

0.48

D

0.86

Text Solution

Verified by Experts

There are 8 effective tetrahedral voids out of which 4 are occupied (one at each body diagonal) and 4 effective octahedral voids such that one is not filled (body centre). So, 7 out of 12 are filled i.e. 58%
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