Many substances crystallize in a cubic structure. The unit cell for such
crystals is a cube having an cdge with a length equal to \(d_{\mathrm{O}}\) .
a. What is the length, in terms of \(d_{0}\), of the face diagonal, which runs
diagonally across one face of the cube? _____________ .
b. What is the length, again in terms of \(d_{0}\), of the cube diagonal, which
runs from one comer, through the center of the cube, to the other corner?
Hint: Make a right triangle having a face diagonal and an edge of the cube as
its sides, with the hypotenuse equal to the cube diagonal. _________.
