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Question: A compound XY crystallizes in bcc lattice with unit cell edge- length of 480 pm, if the radius of Y-...

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

190.70 pm

B

22.5 pm

C
  1. 7 pm
D

None

Answer

190.70 pm

Explanation

Solution

For bcc structure.

2(r++r)=3a2(r_{+} + r_{-}) = \sqrt{3}a

or r++225=32×480r+=190.7pmr_{+} + 225 = \frac{\sqrt{3}}{2} \times 480\therefore r_{+} = 190.7pm