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A compound made up of elements A and B c...

A compound made up of elements A and B crystallises in the cubic structure . Atoms A are present at the corners and alternate face centres whereas atoms B are present at the edge centres as well as body centre . What is the formula of the compound ?

A

`A_2B`

B

AB

C

`AB_2`

D

`A_2B_2`

Text Solution

Verified by Experts

Calculation of number of atoms of A in unit cell
Contribution from alternate faces `=2xx1/2=1`
Contribution from alternates faces `=2xx1/2=1`
`therefore` Total number of atoms of A in unit cell = 1+1=2
Calculation of number of atoms of B in unit cell
Contribution from edge centre `=12xx1/4=3`
Contribution from body centre `=1xx1=1`
`therefore` Total number of atoms of B in unit cell = 3+1=4
Formula of the compound is `A_2B_4" or " AB_2`
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