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

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

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

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

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

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Solution

The correct option is D $\frac{\sqrt{3} a}{2}, a, \sqrt{2} a$
First three nearest neighbour distances for body centered cubic lattice are respectively: $\frac{\sqrt{3 a}}{2}, a, \sqrt{2} a$ .

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