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The lacttice parameter of GaAs (radius o...

The lacttice parameter of `GaAs` (radius of `Ga = 1.22 Å, As = 1.25 Å`) is

A

`5.635 Å`

B

`2.852 Å`

C

`5.774 Å`

D

`4.94 Å`

Text Solution

Verified by Experts

The correct Answer is:
B
`(r_(o+))/(r_(ɵ)) = (i.e., (r_(Ga^(o+)))/(r_(As^(3-)))) = (1.22 Å)/(1.25Å) = 0.976`
From radius ratio, it is clear that cation (`Ga^(3+)` ion) lies in body centred or cubic void, where
`2(r_(o+) r_(ɵ)) = sqrt(3)a`
`2(1.22 + 1.25)Å = sqrt(3)a rArr a = 2.852`
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