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

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

Grade:8

1 Answers

Gaurav
askIITians Faculty 164 Points
8 years ago

it is given that
Radius of atom R= 0.144 nm
For a face–centered unit cell
Edge a = 2√2 R
Plug the values we get
Edge a= 0.144 x 2 x 1,414 nm
Edge a= 0.407 nm
Solution: :– The length of a side of the cell = 0.407 nm

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