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Gold (atomic radius=0.144nm( crystallise...

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

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`r = 0.144 nm`
`4r = sqrt(2) a`
or `a = (4 r)/(sqrt(2)) = 2 sqrt(2) r = 2 xx 1.414 xx 0.144 = 0.407 nm`
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