Which of the following statement(s) is (are ) correct ?

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The coordination number of each type of ion in $CsCl$ crystal is 8.

A metal that crystallizes in $bcc$ structure has a coordination number of 12

A unit cell of an ionic crystal shares some of its ions with other unit cells

The length of the unit cell in $NaCl$ is 552 pm $(r_{N a +} = 95 p m; r_{C l^{-}} = 181 p m) .$

answer is A, C, D.

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Detailed Solution

The crystals of CsCl has body- centred cubic unit cell . hence, each ion in this structure has coordination number of eight.
In case of crystals of $N a C l,$ each ${Na}^{+}$ ion is located half way between two Cl-ions and vice versa . A unit cell of $NaCl$ crystal has Cl- ions at the cornes as well as at the face centres and ions are located at body and edge-centers. On each edge of cubic unit cell, there are two $Cl-$ ions and one ${Na}^{+}$ ions Hence, $a=2 (r_{Na+} {+r}_{Cl-}) =2 (95pm+181pm) =552pm.$