Which of the following expressions is correct | vedclass

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(C) In a $CsCl$ crystal structure,$Cl^{-}$ ions are located at the corners of a simple cubic unit cell,and the $Cs^{+}$ ion is located at the body cen

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$r_c + r_a = \frac{\sqrt{3} a}{2}$

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(C) In a $CsCl$ crystal structure,$Cl^{-}$ ions are located at the corners of a simple cubic unit cell,and the $Cs^{+}$ ion is located at the body center.Along the body diagonal,the $Cs^{+}$ ion and the $Cl^{-}$ ions at the corners touch each other.The length of the body diagonal is given by $\sqrt{3} a$.Since the body diagonal consists of two $Cl^{-}$ radii and one $Cs^{+}$ diameter (two $Cs^{+}$ radii),we have:$2 r_c + 2 r_a = \sqrt{3} a$Dividing by $2$,we get:$r_c + r_a = \frac{\sqrt{3} a}{2}$

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

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