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Ionic radii of cation \mathrm{\mathrm{A}^{+}} and anion \mathrm{ \mathrm{B}^{-}} are \mathrm{ 102} and \mathrm{ 181 \: \mathrm{pm}} respectively. These ions are allowed to crystallize into an ionic solid. This crystal has cubic close packing for \mathrm{\mathrm{B}^{-} .\; \mathrm{A}^{+}} is present in all octahedral voids. The edge length of the unit cell of the crystal \mathrm{\mathrm{AB}} is ____________ pm. (Nearest Integer)

Option: 1

566


Option: 2

-


Option: 3

-


Option: 4

-


Answers (1)

best_answer

This crystal has cubic close paking for \mathrm{B^{-}},
Means \mathrm{B^{\Theta }} is present all corner and face centres , and \mathrm{A^{+}} is present in all octahedral voids.


a = edge length of the unit cell of the crystal AB
\mathrm{a= 2r^{-}+2r^{+}}
\mathrm{a= 2\times 181+2\times 102}
\mathrm{a= 362+204}
\mathrm{a= 566\: pm}

Ans = 566

Posted by

shivangi.bhatnagar

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