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A compound alloy of gold and copper crys...

A compound alloy of gold and copper crystallizes in a cubic lattice in which gold occupy that lattice point at corners of the cube and copper atom occupy the centres of each of the cube faces. What is the formula of this compound.

A

AuCu

B

`Au_(2)Cu`

C

`Au_(3)Cu`

D

`AuCu_(3)`

Text Solution

Verified by Experts

The correct Answer is:
D
`1//8xx8=1` Au atom/unit cell
`1//2xx6=3` Cu atoms/unit cell
Empirical formula is `AuCu_(3)`
Hence, (D) is the correct answer.
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