Vanadium crystallizes with a body-centered cubic unit cell. The volume of the unit cell is 0.0278 nm3.
(a) What is the atomic radius of vanadium in cm?
(b) What is the volume of a single vanadium atom in cm3?
(c) What is the density of a single vanadium atom?
(d) In body-centered cubic unit cell packing, the fraction of empty space is 32.0%. When this is factored in, what is the calculated density of vanadium? (The experimental density of vanadium is 5.8 g/cm3.)
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