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The radius of an atom of an element is 5...

The radius of an atom of an element is `500` pm. If it crystallizes as a face-centred cubic lattice, what is the length of the side of the unit cell?

Text Solution

Verified by Experts

For `fc c, r = (a)/(2sqrt2)`
or `a = 2 sqrt2 r = 2 xx 1.414 xx 500` pm
`= 1414` pm
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Knowledge Check

  • The radius of an atom of an element is 600 pm. If it crystallizes as a face centred cubic lattice, what is the length of the side of the unit cell?

    A
    a = 1696.8 pm
    B
    a = 16.9 pm
    C
    a =164 pm
    D
    a =1685.3 pm

  • The radius of an atom of an element is 500 pm. If it crystallises as a face centred cubic lattice, the length of the side of unit cell is

    A
    176.8 pm
    B
    1154.7 pm
    C
    1414 pm
    D
    1000 pm

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