A crystalline structure has radius ratio ( $r_{+} / r_{-}$ ) in the range of $0.225 - 0.414$ . The coordination number and arrangement of anions around the cations are:

3

, plane triangular

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6

, octahedral

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4

, tetrahedral

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8

, cubic

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Solution

The correct option is C $4$ , tetrahedral
Gustav F. Hüttig first proposed the radius ratio rule in 1920.

The table below gives the relation between radius ratio, coordination number and type of structure.

Radius Ratio Coordination number Type of structure

< 0.155 2 Linear

0.155 - 0.225 3 Triangular Planar

0.225 - 0.414 4 Tetrahedral

0.414 - 0.732 6 Octahedral

0.732 - 1.000 8 Cubic

The correct option is C.

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A crystalline structure has radius ratio (r+/r−) in the range of 0.225−0.414. The coordination number and arrangement of anions around the cations are:

A crystalline structure has radius ratio ( $r_{+} / r_{-}$ ) in the range of $0.225 - 0.414$ . The coordination number and arrangement of anions around the cations are: