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An alloy of silver and copper crystalliz...

An alloy of silver and copper crystallizes in a cubic lattice in which silver atoms occupy the lattice points at the comers of a cube and copper atoms occupy the face centres of the cube. Determine the formula of the compound

Text Solution

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One-eighth of each silver atom and one-half of each copper are contained within the unit cell of the compound.
Number of Ag atoms per unit cell = 8(1/8) = 1
Number of Cu atoms per unit cell = 6(1/2) = 3
The formula of the compound is `AgCu_(3)`
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