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The length of the edge of the face centr...

The length of the edge of the face centred cubic unit cell of aluminium is 400 pm. What is the radius of aluminium atom and the nearest neighbour distance ?

Text Solution

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The correct Answer is:
`141.4`pm,`282.8` pm
Edge length (a) = 400 pm. For a face centred cubic unit cell,
Atomic radius `(r) =(a)/(2sqrt2)=(("400pm"))/(2xx1.4142)=141.4"pm"`
The nearest neighbour distance `(d)=(a)/(sqrt2)=("400pm")/(1.4142)=282.5"pm"`
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