Metallic vanadium crystallizes in a body-centered cubic lattice, with one V atom per lattice point. If the metallic radius of V is 130 pm, what is the volume of the unit cell in pm^{3} and in cm^{3}?

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For a body-centered cubic structure, calling R the radius and a, a side of the cell

we have a=4/sqrt(3)*R

so Volume=a^3=2.71*10^7 pm3

which is also equal to 2.71*10^(-23) cm3

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