Solid State Question 279

Question: $ CsBr $ has bcc structure with edge length 4.3. The shortest interionic distance in between $ C{{s}^{+}} $ and $ B{{r}^{-}} $ is

Options:

A) 3.72

B) 1.86

C) 7.44

D) 4.3

Show Answer

Answer:

Correct Answer: A

Solution:

[a] For bcc structure, atomic radius, $ r=\frac{\sqrt{3}}{4}a $

$ =\frac{\sqrt{3}}{4}\times 4.3=1.86 $ Since, r = half the distance between two nearest neighbouring atoms.
$ \therefore $ Shortest interionic distance $ =2\times 1.86=3.72 $