 # Br^− ion forms a close packed structure. If the radius of Br^− ions is 195 pm. Calculate the

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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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Given: Radius of anion Br (r ) = 195 pm

Radius of cation ( Ar+ ) = 82 pm

To find:

i. The radius of the cation that just fits into the tetrahedral hole (r+ ) = ?

ii. Whether the cation A+ having a radius of 82 pm can be slipped into the octahedral hole of the crystal (A+ Br ) = ?

Formula:

Radius ratio = Radius of the cation/Radius of the anion

Calculation:

i. For Limiting value for for tetrahedral hole is 0.225 – 0.414

From formula, Radius of the tetrahedral hole ii. For cation A+ with radius = 82 pm From formula, 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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