What is the value of radius ratio of ionic crystal having coordination number six?

What is the value of radius ratio of ionic crystal having coordination number six?
  1. Greater than $0.732$
  2. In between $0.414$ to $0.732$
  3. In between $0 \cdot 225$ to $0 \cdot 414$
  4. Less than $0.225$

Solution

Correct answer is in between $0.414$ and $0.732$ Since the general formula is $\mathrm{AX}$ with coordination number 6 , the crystal could be considered as $\mathrm{NaCl}$. Thus, it is evident that the ratio lies between $0.414$ and $0.732$ because of its octahedral structure. The value ranging between $0.414$ and $0.732$ is obtained by dividing the radius of positive ion by that of negative ion.

Asked in: MHT CET 2020 (12 Oct Shift 1)

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