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For a cubiccrystal, the face diagonal is...

For a cubiccrystal, the face diagonal is `3.5 Å`. Calculate the face length.

Text Solution

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Face diagonal `= sqrt(a^(2) + a^(2)) = sqrt2a`
Face length `(a) = ("Face diagonal")/(sqrt(2)) = (3.50 Å)/(sqrt(2)) = (3.50 Å)/(1.414)`
`= 2.47 Å`
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Knowledge Check

  • Copper crystallizes in a face-centred cublic lattice with a unit cell length of 361pm. What is the radius of copper atom in pm ?

    A
    157
    B
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    C
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    D
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  • 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)`

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