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Express the relationship between atomic ...

Express the relationship between atomic radius (r) and edge length (a) in the bcc unit cell.

Text Solution

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`r = (sqrt(3)a)/(4)`
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What is true about a bcc unit cell?

In a body-centred cubic unit cell of closest packed atoms, the radius of atom in terms of edge length a of the unit cells is

Knowledge Check

  • In a face centred cubic unit cell of close packed atoms, the radius of atom ( r ) is related to the edge length (a) of the unit cell by the expression

    A
    `r = ( a)/( sqrt(2))`
    B
    `r = ( a)/( 2)`
    C
    `r = ( a)/( 2 sqrt(2))`
    D
    `r = ( sqrt(3)a)/(4)`

  • What is the contribution of the atom present at edge centre of the unit cell ?

    A
    1 part
    B
    `1/2 `part
    C
    `1/4 `part
    D
    `1/8`part

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