Solid State Question 263

Question: LiCl has NaCl type structure with edge length 512 pm. Assuming that the $ L{{i}^{+}} $ ion is small enough that the chloride ions are in contact, then radius of $ C{{I}^{-}} $ ion is

Options:

A) 223 pm

B) 224 pm

C) 181 pm

D) 362 pm

Show Answer

Answer:

Correct Answer: D

Solution:

[d] $ \sqrt{2a}=4{r _{C{{I}^{-}}}} $

$ 4{r _{C{{I}^{-}}}}=\frac{a\sqrt{2}}{4}=\frac{a}{2\sqrt{2}}=\frac{512}{2\sqrt{2}}=361.8pm\cong 362pm $