Metallic vanadium crystallizes in a body-centered cubic lattice, with one V atom

Chemistry
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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 pm3 and in cm3?

 pm3
 cm3
Jun 4th, 2015

Thank you for the opportunity to help you with your question!

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

Please let me know if you need any clarification. I'm always happy to answer your questions.
Jun 4th, 2015

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