`CsCl`crystallizes in body centred cubic lattice. If `'a'` is its edge length then which of the following expressions is correct ?

Options

A. `r_(Cs^(+)) + r_(CI^(-)) = (a sqrt(3))/(2)`
B. `r_(Cs^(+)) + r_(CI^(-)) = a sqrt(3)`
C. `r_(Cs^(+)) + r_(CI^(-)) = - 3a`
D. `r_(Cs^(+)) + r_(CI^(-)) = (3a)/(2)`

Answer

a

Explanation

Length of body diagraml `= a sqrt(3)`
`2(r_(Cs^(+)) + r_(CT^(-))) = a sqrt(3)`
`r_(Cs^(+)) + r_(CI) = (a sqrt(3))/(2)`