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 a smaller ionic radius. Choose the correct statement(s).
A
The empirical formula of the compound is MX.
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B
The cation M and anion X have different coordination geometries.
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C
The ratio of M−X bond length to the cubic unit cell edge length is 0.866.
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D
The ratio of the ionic radii of cation M to anion X is 0.414.
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Solution
The correct option is C The ratio of M−X bond length to the cubic unit cell edge length is 0.866. According to the given diagram, the structure seems to be BCC.
(1) Empirical formula →MX
(2) Coordination number of M ion =8 [same co-ordination geometry]
Coordination geometry of X ion = 8 [same co-ordination Geometry]