Q21 of 68 Page 30

Gold (atomic radius = 0.144 nm) crystallises in a face-centred unit cell. What is the length of a side of the cell?

Given, atomic radius = 0.144 nm

Type of unit cell = face centered


We know that side (a) in fcc


Thus, a = 0.144 nm


a = 2 × 1.414 × 0.144 = 407 nm.


Thus the side of the given cell = 407 nm.


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