Solid State Question 9
Question: An alloy of copper, silver and gold is found to have cubic lattice in which Cu atoms constitute ccp. If Ag atoms are located at the edge centres and Au atom is present at body centre, the alloy will have the formula
Options:
A) $ CuAgAu $
B) $ Cu_4Ag_4Au $
C) $ Cu_4Ag_3Au $
D) $ Cu_4Ag_6Au $
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Answer:
Correct Answer: C
Solution:
[c] Number of Cu-atoms per unit cell $ =\frac{1}{8}\times 8+\frac{1}{2}\times 6=4. $
Number of Ag-atoms per unit cell $ =\frac{1}{4}\times 12=3 $
Number of Au-atoms per unit cell = 1 (at body centre) Formula: $ Cu_4Ag_3Au $