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The distance between the nearest neighbo...

The distance between the nearest neighbours of a body-centred cubic unit cell is equal to 0.866 times the edge length of the unit cell. What is the relation between the edge length and the radius of the constituent particle of this unit cell?

Text Solution

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Suppose edge length of the unit cell = a and radius of the constituent particle = r
The distance between the nearest neighbours = 2r
`therefore" "2r=0.866xxa" "therefore" "r=0.433xxa`
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Knowledge Check

  • The edge length of body-centred cubic unit cell is asqrt3 . The distance between two nearest neighbours in this unit cell is-

    A
    a
    B
    0.5a
    C
    1.5a
    D
    2a

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