Solid State Question 18
Question: An element having an atomic radius of 0.14 nm crystallizes in an fcc unit cell. What is the length of a side of the cell-
Options:
A) $ 0.56nm $
B) $ 0.24nm $
C) $ 0.96nm $
D) $ 0.4nm $
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Answer:
Correct Answer: D
Solution:
[d] For a fcc unit cell $ r=\frac{\sqrt{2}a}{4} $
$ a=\frac{4r}{\sqrt{2}}=2\sqrt{2}\times 0.14=0.39\approx 0.4nm. $