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A compound formed by elements A and B cr...

A compound formed by elements A and B crystallizes in cubic structure where A atoms are at the corners of a cube and B atoms are at the face center. What is the formula of the compound?

A

`AB_(3)`

B

AB

C

`A_(3)B`

D

`A_(2)B_(2)`

Text Solution

Verified by Experts

The correct Answer is:
A

In a unit cell, A atoms at the corners `=(1)/(8)xx 8=1`
B atoms at the face centres `= (1)/(2)xx6=3`
Ratio of A : B = 1 : 3. The formula of the compound is `AB_(3)`.
Hence, (A) is the correct answer.
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