The radius of a single atom of a generic element X is 175 picometers (pm) and...

The radius of a single atom of a generic element X is 175 picometers (pm) and a crystal of X has a unit cell that is face-centered cubic. Calculate the volume of the unit cell.

Expert Solution

For fcc crystal X

radius (r) = 175 pm = 1.75 x 10^-8 cm

Edge length of unit cell (d) = r(2sq.rt.(2))

= 1.75 x 10^-8(2 x sq.rt.(2))

= 4.95 x 10^-8 cm

So volume of unit cell = d^3

= (4.95 x 10^-8)^3

= 2.213 x 10^-22 cm^3

queen_honey_blossom answered 2 years ago

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