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A unit cell consists of a cube in which ...

A unit cell consists of a cube in which there are A atoms at the corners and B atoms at the face centres. Two A atoms are missing from the two corners of the unit cell. What is the formula of the compound ?

Text Solution

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Contribution made by an atom A present in one corner = 1/8
Contribution made by an atom A at sim corners = 6/8 = 3/4
Contribution made by an atom B present at face centre = 1/2
Contribution made by six atoms B present at six face centres = 1/2`xx`6=3
Formula of the compound `=A_(3//4)B_(3)=AB_(4)`
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