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Question

The ionic radii of A+ and B ions are 0.98×1010m and 1.81×1010m. The coordination number of each ion in AB is:

A
2
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B
4
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C
6
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D
8
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Solution

The correct option is C 6
Radius ratio=Radius of CationRadius of Anion
Radius-Ratio Rule:
Size and type of void occupied by an ion is determined by knowing relative size of cations and anions.

r+r=0.98×10101.81×1010=0.541

It lies in the range 0.4140.732. Hence coordination number of each ion will be 6
Radius Ratio Type of void occupied Coordination Number Examples
< 0.155 Linear Void 2
0.155 to 0.225 Planar Triangular void 3 Boron Oxide
0.225 to 0.414 Tetrahedral Void 4 Zinc Sulphide
0.414 to 0.732 Octahedral Void 6 Sodium Chloride
0.732 to 1 Body Centred Cubic Void 8 Caesium Chloride







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