. A compound XY crystallizes in BCC lattice with unit

cell edge length of 480 pm. If the radius of  Y is 225 pm, then the radius of X+ is: - 

A: 127.5 pm

B: 190.68 pm

C: 225 pm

D: 255 pm

Best Answer


We know that the sum of the ionic radii is the nearest neighbour distance d.

In case of a body centred cube,d=√3 /2 a , where  is the unit cell length.

Calculating, we get d=415.68pm

Since, X+ +Y- =415.68pm

Therefore, X+ =415.68 -225.0 190.68pm

Final answer:

The correct option is B: 190.68 pm 


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