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Question

An element (at. Wt. = 50) crystallises in FCC lattice, with a = 0.50 nm. What is the density of the unit cell if it contains 0.25% Schottky defects? ( use NA=6×1023) (a = Edge length of the unit cell)

A
2.0 g/cc
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B
2.66 g/cc
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C
3.06 g/cc
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D
None of these
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Solution

The correct option is B 2.66 g/cc
Schottky defect is known to bring about a reduction in density due to the decrease in effective number of atoms per unit cell.
Hence, n = 4×(10.25100)=3.99
ρ=ZMVNA
ρ=3.99×50(0.5×109)3×1000×6×1023
ρ=2660 kg/m3=2.66 g/cc

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