If the radius of an atom is r, what is the length of the side of the body-centered cubic unit cell? A) 4r/3^½ B) 2.25r C) r D) 2r E) 8^½r

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Quizplus · Accepted Answer

In a body-centered cubic (BCC) unit cell, the diagonal through the cube connects two opposite corners and passes through the center atom, making a total length of 4r (2 radii for each of the corner atoms and 2 radii for the center atom). This diagonal forms a right triangle with the side of the cube and a face diagonal, and by applying Pythagoras' theorem, the side of the cube (a) can be found as a = 4r/√3.

If the Radius of an Atom Is R, What Is