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}} $



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