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Solve the following.
An alloy of gold (Au) and cadmium (Cd) crystallises with a cubic structure in which gold atoms…
An alloy of gold ($\text{Au}$) and cadmium ($\text{Cd}$) crystallises with a cubic structure in which gold atoms occupy the corners and cadmium atoms fit into the face centres. What is the formula of this alloy?
Answer
Answer
Au atoms at the 8 corners: $8\times\frac{1}{8} = 1$
Cd atoms at the 6 face centres: $6\times\frac{1}{2} = 3$
Final answer: $\mathrm{AuCd_3}$