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In a solid XY, having fcc structure, X a...

In a solid XY, having fcc structure, X atoms occupy the comers of the unit cell and Y atoms occupy the face centres. If all the face centre atoms along one of the axes are removed, what would be the stoichiometry of the solid?

Text Solution

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Number of atoms of X per unit cell = 8(1/8) = 1
Number of Y atoms in foc unit cell = 6(1/2) = 3
When face centre atoms along one axis are removed, two face centre atoms per unit cell are removed. Thus contribution from Y atoms becomes 2.
Thus, stoichiometry of the solid = `XY_(2)`
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