Question

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

• A. $a\sqrt{2},a,a\sqrt{3}$
• B. $\frac{a}{\sqrt{2}},a,a\sqrt{3}$
• C. $\frac{a\sqrt{3}}{2},a,a\sqrt{2}$
• D. $\frac{a\sqrt{3}}{2},a,a\sqrt{3}$

Answer 1

Answer: (C)

$\frac{a\sqrt{3}}{2},a,a\sqrt{2}$

I) Nearest:Body center to Body corner= $\frac{a\sqrt{3}}{2}$ ,

II) Next nearest: Along the edge length= $a$

III) Next to Next Nearest: Along the face diagonal=$a\sqrt{2}$