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. ABC. `AB_2`D. `A_2B_2`

A compound made up of elements A and B crystallises in the cubic struc

1.	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. ABC. `AB_2`D. `A_2B_2`
Answer» 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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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. ABC. `AB_2`D. `A_2B_2`

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