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Q.

Given an alloy of Cu, Ag and Au in which Cu atoms constitute the CCP arrangement. If the hypothetical formula of the alloy is Cu4Ag3Au. What are the probable locations of Ag and Au atoms?

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a

Ag-all Tetrahedral voids, Au-all Octahedral voids

b

Ag-38th Tetrahedral voids  Au -14 th Octahedral voids

c

Ag-12 Octahedral voids; Au-12 Tetrahedral voids

d

Ag-all Octahedral voids; Au-all Tetrahedral voids

answer is B.

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Detailed Solution

There are 4 copper atoms per unit cell. As a result, 4 atoms make up the FCC arrangement, which equals the number of octahedral voids. Two tetrahedral voids are present. There are 24=8 octahedral voids. 

The given hypothetical formula is Cu4Ag3Au.

This is possible if 14th of the octahedral voids and  32th of the tetrahedral voids are occupied.

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