Vanadium crystallizes in the body-centered cubic system.If the edge of the unit cell is 309 pm,what is the radius of a vanadium atom in picometers?

Question

Quizplus · Accepted Answer

In a body-centered cubic (bcc) system, the diagonal of the cube is equal to four times the radius of the atom (4r). The diagonal can also be calculated using the Pythagorean theorem in three dimensions as √3 times the edge length (a). Therefore, √3a = 4r. Given that the edge length (a) is 309 pm, we can solve for r: r = (√3 * 309 pm) / 4 = 134 pm.

Vanadium Crystallizes in the Body-Centered Cubic System