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in Chemistry by (72.3k points)

Br- ion forms a close packed structure. If the radius of Br ions is 195 pm. Calculate the radius of the cation that just fits into the tetrahedral hole. Can a cation A+ having a radius of 82 pm be slipped into the octahedral hole of the crystal A+ Br- ?

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Best answer

(i) Radius of the cations just filling into the tetrahedral hole 

= Radius of the tetrahedral hole 

= 0.225 × 195 = 43.875 pm

(ii) For cation A+ with radius = 82 pm

As it lies in the range 0.414 – 0.732, hence the cation A+ can be slipped into the octahedral hole of the crystal A+ Br-

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