Solid State Question 298

Question: A solid AB crystallises as $ NaCl $ structure and the radius of the cation is $ 0.100nm. $ The maximum radius of the anion can be:

Options:

A) $ 0.137nm $

B) $ 0.241nm $

C) $ 0.274nm $

D) $ 0.482nm $

Show Answer

Answer:

Correct Answer: B

Solution:

[b] Solid AB crystallizes as $ NaCl $ structure, so it has coordination number 6 and its $ {{r}^{+}}/{{r}^{-}} $ ranges from $ 0.414-0.732 $ . For maximum radius of anion, we have to take the lower limit of the range $ 0.414-0.732 $ . So, $ ~\frac{{{r}^{+}}}{{{r}^{-}}}=0.414 $
$ \Rightarrow {{r}^{-}}=\frac{0.100}{0.414}nm=0.241nm $



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