First slide

Crystal lattices and unit cells

Question

First three nearest neighbouring distance for primitive cubic lattice are respectively (edge length of unit cell = a),which combinations are incorrect

Moderate

A

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

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

$a, \sqrt{2} a, 2 a$
D

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

Solution

$\begin{array}{ll} A B = a (nearest) \\ B D = \sqrt{2} a (next-nearest) \\ C E = \sqrt{3} a (next-next-nearest) \end{array}$

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