Solid State Question 14

Question: AB; crystallizes in a body centred cubic lattice with edge length ‘a’ equal to 387 pm. The distance between two oppositely charged ions in the lattice is

Options:

A) 335 pm

B) 250 pm

C) 200 pm

D) 300 pm

Show Answer

Answer:

Correct Answer: A

Solution:

[a] For bcc lattice body diagonal $ =a\sqrt{3} $ .

The distance between the two oppositely charged ions $ =\frac{a}{2}\sqrt{3}=\frac{387\times 1.732}{2}=335pm $