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Byju's Answer

Standard XII

Chemistry

Examples of Ionic Compounds

If the length...

Question

If the length of body diagonal for $CsCl$ , which crystallises into a cubic structure with ${Cl}^{-}$ ions at the corners and ${Cs}^{+}$ ions at the centre of unit cell is $7 ˚ A$ and the radius of ${Cs}^{+}$ ion is $1.69 ˚ A$ . The radius of ${Cl}^{-}$ ion?

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Solution

$CsCl$ is BCC structure.

So, in $BCC$ structure atoms touch along the body diagonal i.e.,
$2 (r_{{Cl}^{-}} + r_{{Cs}^{+}}) = 7$

$2 r_{{Cl}^{-}} = 7 - 2 r_{{Cs}^{+}} = 7 - (3.38) = 3.62 A °$

$r_{{Cl}^{-}} = \frac{3.62}{2} = 1.81 A °$

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Similar questions

Q. If the length of the body diagonal for CsCl which crystallises into a cubic structure with

C l^{-}

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Q. If the length of the body diagonal for CsCl which crystallizes into a cubic structure with

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ions at the centre of the unit cells is

7 ˚ A

and the radius of the

C s^{+}

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(a) Calculate the length of the edge of a unit cell.
(b) What is the distance between

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Q. In a cubic crystal of CsCl (density

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The radius ratio of $C s^{+}$ to $C l^{-}$ is 0.90. If the radius of $C l^{-}$ ion is $1.80 \circ A$ , the false statement regarding the CsCl structure is ?

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If the length of body diagonal for CsCl, which crystallises into a cubic structure with Cl− ions at the corners and Cs+ ions at the centre of unit cell is 7˚A and the radius of Cs+ ion is 1.69˚A. The radius of Cl− ion?

CsCl is BCC structure.So, in BCC structure atoms touch along the body diagonal i.e., 2(r Cl−+rCs+)=72rCl−=7−2r Cs+=7−(3.38)=3.62A°rCl−=3.622=1.81A°

If the length of body diagonal for $CsCl$ , which crystallises into a cubic structure with ${Cl}^{-}$ ions at the corners and ${Cs}^{+}$ ions at the centre of unit cell is $7 ˚ A$ and the radius of ${Cs}^{+}$ ion is $1.69 ˚ A$ . The radius of ${Cl}^{-}$ ion?

$CsCl$ is BCC structure.

So, in $BCC$ structure atoms touch along the body diagonal i.e.,
$2 (r_{{Cl}^{-}} + r_{{Cs}^{+}}) = 7$

$2 r_{{Cl}^{-}} = 7 - 2 r_{{Cs}^{+}} = 7 - (3.38) = 3.62 A °$

$r_{{Cl}^{-}} = \frac{3.62}{2} = 1.81 A °$