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A metal has face-centred cubic unit cell...

A metal has face-centred cubic unit cell. The radius of an atom of the metal is 1.28Å. What is the edge length of the unit cell?

Text Solution

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`a=rxx2sqrt2=2sqrt2xx1.28xx10^(-8)cm`
`=3.62xx10^(-8)cm=3.62xx10^(-10)m` = 362pm
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Knowledge Check

  • NaCl crystal possesses a crystal structure having face-centred cubic unit cell. If the radii of Na^(+)andCl^(-) ions are 95 and 181 pm, respectively, then the edge length of its unit cell is-

    A
    371 pm
    B
    552 pm
    C
    276 pm
    D
    457 pm

  • The number of atoms in a face centred cubic unit cell is:

    A
    4
    B
    3
    C
    2
    D
    1

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