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Question

Chemistry Question on The solid state

CsClCsCl crystallises in body centred cubic lattice. If 'a' is its edge length, then which of the following expressions is correct?

A

rCs++rCl=3ar_{Cs^+} + r_{Cl^-} = 3a

B

rCs++rCl=3a2r_{Cs^+} + r_{Cl^-} = \frac{3a}{2}

C

rCs++rCl=32ar_{Cs^+} + r_{Cl^-} = \frac{\sqrt 3}{2} a

D

rCs++rCl=3ar_{Cs^+} + r_{Cl^-} = \sqrt 3 a

Answer

rCs++rCl=32ar_{Cs^+} + r_{Cl^-} = \frac{\sqrt 3}{2} a

Explanation

Solution


2rCl+2rCs+=3a2 r _{ Cl ^{-}}+2 r _{ Cs ^{+}}=\sqrt{3} a
rCl+rCs+=3a2r _{ Cl ^{-}}+ r _{ Cs ^{+}}=\frac{\sqrt{3} a }{2}