Solid State Question 251
Question: Copper crystallises in a structure of face centered cubic unit cell. The atomic radius of copper is 1.28 $ \overset{o}{\mathop{A}} $ . What is the axial length on an edge of copper-
Options:
A) 2.16 $ \overset{o}{\mathop{A}} $
B) 3.62 $ \overset{o}{\mathop{A}} $
C) 3.94 $ \overset{o}{\mathop{A}} $
D) 4.15 $ \overset{o}{\mathop{A}} $
Show Answer
Answer:
Correct Answer: B
Solution:
[b] For fcc unit cell, $ 4r=a\sqrt{2} $
$ a=\frac{4r}{\sqrt{2}}=\frac{4\times 1.28}{\sqrt{2}}\overset{o}{\mathop{A}}=3.62\overset{o}{\mathop{A}} $