The cubic unit cell structure of a compound containing cation M and anion X is shown below. When compared to the anion, the cation has smaller ionic radius. Choose the incorrect statement (s).

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The empirical formula of the compound is $M X_{2}$

The ratio of the ionic radius of cation M to anion X is 0.414

The cation M and anion X have different coordination geometries

The ratio of M-X bond length to the cubic unit cell edge length is 0.866

answer is A, B, D.

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Detailed Solution

A) effective no. of cations =1
Effective no. of anions =1
$∴ E . f i s m y$
C) The distance between $M \times X i s \frac{a}{2 \sqrt{3}}$
$∴ \frac{M \times X b o n d l e n g t h}{e d g e l e n g t h} = \frac{a}{2 \sqrt{3} a} = 0.866$

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