Using the Molecule Definition Utility found in the "Metallic Crystal
Structures and Crystallography" and "Ceramic Crystal Structures" modules of \(V
M S E\) located on the book's web site [www.wiley.com/ college/callister
(Student Companion Site)], generate (and print out) a three-dimensional unit
cell for \(\beta\) tin (Sn), given the following: (1) the unit cell is
tetragonal with \(a=0.583 \mathrm{~nm}\) and \(c=0.318 \mathrm{~nm}\), and (2)
\(\mathrm{Sn}\) atoms are located at the following point coordinates:
\(\begin{array}{lllll}0 & 0 & 0 & & 011 \\ 1 & 0 & 0 & & \frac{1}{2} 0
\frac{3}{4} \\ 1 & 1 & 0 & & \frac{1}{2} 1 \frac{3}{4} \\ 0 & 1 & 0 & & 1
\frac{1}{2} \frac{1}{4} \\ 0 & 0 & 1 & 0 & 1 \frac{1}{2} \frac{1}{4} \\ 1 &
0 & 1 & & \frac{1}{2} \frac{1}{2} \frac{1}{2} \\ 1 & 1 & 1 & & \end{array}\)