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A compount AB has a rock salt type struc...

A compount `AB` has a rock salt type structure with `A:B=1:1`. The formula weight of `AB` is `6.023 Y am u` and the closed `A-B` distance is `Y^(1//3) nm.`
`(i)` Find the density of lattice.
`(ii)` If the density of lattice is found to be `20 kg m^(-3)`, then predict the type of defect.

Text Solution

Verified by Experts

(a) Density of a crystal is
`d = (Z xx "Formula mass of substance")/(N_A xx a^3)`
Now AB has rock salt type structure i.e., fcc so that
Formula mass = `6.023 Y xx 10^(-3) kg, a = 2Y^(1//3) nm = 2Y^(1//3) xx 10^(-9) m`
`:. ` Density = `(4 xx 6.023 Y xx 10^(-3)kg)/(6.023 xx 10^(23) xx(2Y^(1//3) xx 10^(-9) m)^(3))`
`= 5.0 kg m^(-3)`
(b) Since the observed density `(20 kg m^(-3))` is higher than the calculated value `(5 kg m^(-3))` , the compound must has either interstitial impurity defect or substitutional impurity defect.
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