question_answer

First three nearest neighbour distances for body centred cubic lattice are respectively:

A) \[\sqrt{2}a,a,\sqrt{3}a\]             

B) \[\frac{a}{\sqrt{2}},a,\sqrt{3}a\]

C) \[\frac{\sqrt{3}a}{2},a,\sqrt{2}a\]          

D) \[\frac{\sqrt{3}a}{2},a,\sqrt{3}a\]

Correct Answer: C

Solution :

[c] \[AB=\frac{\sqrt{3}a}{2}\]         (nearest) AC = a             (next - nearest) \[CD=\sqrt{2}a\]            (next - next - nearest)