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Question: Sodium has body centred packing. If the distance between two nearest atoms is 3.7 Å, then its lattic...

Sodium has body centred packing. If the distance between two nearest atoms is 3.7 Å, then its lattice parameter is.

A

4.8 Å

B

4.3 Å

C

3.9 Å

D

3.3 Å

Answer

4.3 Å

Explanation

Solution

For bcc packing, distance between two nearest atoms d=2r=2(3a4)d = 2r = 2\left( \frac{\sqrt{3}a}{4} \right)

⇒ Lattice constant a=2d3=2×3.73=4.3A˚a = \frac{2d}{\sqrt{3}} = \frac{2 \times 3.7}{\sqrt{3}} = 4.3Å.