The unit cell of a binary compound of A and B | vedclass

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(B) In a $ccp$ structure,there are $8$ corners and $6$ face centres. Number of $A$ atoms initially at corners $= 8 	imes \frac{1}{8} = 1$. Since $2$

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$AB_4$

Vedclass · Answer

(B) In a $ccp$ structure,there are $8$ corners and $6$ face centres. Number of $A$ atoms initially at corners $= 8 	imes \frac{1}{8} = 1$. Since $2$ $A$ atoms are missing from the corners,the number of $A$ atoms remaining $= 1 - (2 	imes \frac{1}{8}) = 1 - 0.25 = 0.75 = \frac{3}{4}$. Number of $B$ atoms at face centres $= 6 	imes \frac{1}{2} = 3$. The ratio of $A : B = \frac{3}{4} : 3 = 3 : 12 = 1 : 4$. Therefore,the composition of the alloy is $AB_4$.

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