Q.

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 correct statement(s).

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a

The empirical formula of the compound is MX.

b

The cation M and anion X have different coordination geometries.

c

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

d

The ratio of the ionic radii of cation M to anion X is 0.41

answer is 1,3.

(Detailed Solution Below)

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Detailed Solution

1) ZM=2×12=1ZX=4×14=1∴ Empirical formula is M2) Coordinate numbers of both M and X is 8.3) Bond length of M – X bond =AB=3⋅a2=0.866 a4) rM:rX=(3−1):1=0.732:1.000
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