Which of the following expressions is correct | vedclass

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(C) In a $CsCl$ crystal structure,the $Cs^{+}$ ion is located at the body center,and $Cl^{-}$ ions are located at the corners of the cube.The body dia

Vedclass · Accepted Answer

$r_{Cs^{+}} + r_{Cl^{-}} = \frac{\sqrt{3}}{2} a$

Vedclass · Answer

(C) In a $CsCl$ crystal structure,the $Cs^{+}$ ion is located at the body center,and $Cl^{-}$ ions are located at the corners of the cube.The body diagonal of the cube is given by $\sqrt{3} a$.Since the $Cs^{+}$ ion at the center touches the $Cl^{-}$ ions at the corners along the body diagonal,the length of the body diagonal is equal to $2(r_{Cs^{+}} + r_{Cl^{-}})$.Therefore,$2(r_{Cs^{+}} + r_{Cl^{-}}) = \sqrt{3} a$.This simplifies to $r_{Cs^{+}} + r_{Cl^{-}} = \frac{\sqrt{3}}{2} a$.

Which of the following expressions is correct in the case of a $CsCl$ unit cell (edge length '$a$')?

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