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In an ionic compound A^(+)X^(-), the rad...

In an ionic compound `A^(+)X^(-)`, the radii of `A^(+) and X^(-)` ions ar 1.0pm and 2.0om, respectively. The volume of the unit cell of the crystal AX will be:

A

`27"pm"^3`

B

`64"pm"^3`

C

`125 "pm"^3`

D

`216"pm"^3`

Text Solution

Verified by Experts

The correct Answer is:
D
`(r^+)/(r^-) = 1/2 = 0.5 `FCC lattice point
Cations are at octahedral void
`(r^(+) + r^(-) ) = a/2 = 3`
a = 6
volume ` = (6)^3 = 216 "pm"^3`
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