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Question: In a simple cubic lattice of anions, the side length of the unit cell is 2.88 Å. The diameter of the...

In a simple cubic lattice of anions, the side length of the unit cell is 2.88 Å. The diameter of the void in the body centre is

A

1.934 Å

B

0.461 Å

C

2.108 Å

D

4.988 Å

Answer

2.108 Å

Explanation

Solution

for (bcc) = r+/r– = 0.732 and a =2(r++r)3\frac{2(r^{+} + r^{-})}{\sqrt{3}}

and diameter of cubical void (2r+) = a(3\sqrt{3}–1)

= 2.888 × 0.732 = 2.108 Å.