The arrangement of X - ions around A + ion in solid AX is given in the figure (not drawn to scale). If the…

The arrangement of X- ions around A+ ion in solid AX is given in the figure (not drawn to scale). If the radius of X- is 250 pm, the radius of A+ is 

  1. 104 pm
  2. 125 ​pm
  3. 183 ​pm
  4. 57 ​pm

Solution

A+ cation is filled in octahedral hole generated by X- anion 
i.e.,  r A + r X - = 0.414
r A + = 0.414 × 2 5 0 = 103.5  pm
                                      ≈ 1 0 4 pm

Asked in: JEE Advanced 2013 (Paper 1)

Practice more Solid State questions on Aicharya