Consider the bond-centered cubic structure shown here: a. What is the length of the line (labeled c) that runs from one corner of the cube diagonally through the center of the cube to the other corner in terms of r (the atomic radius)? b. Use the Pythagorean theorem to derive an expression for the length of the line (labeled b) that runs along the face of the cube terms of the edge length (i). c. Use the answer to parts a and b along with the Pythagorean theorem to derive the expression for the edge length (l) in terms of r. We can use all the information above (both pages) to determine properties of a solid. Really these problems are just unit conversions, so understanding relationships is helpful. When you are told the type of unit cell what other information is implied? For example: if we are told the cell is body centered cubic what do we know? (use the information that you already solved for in this packet) If you know the species, for example, it is Molybdenum (Mo), what do we know? If we are told the radius ( 136pm), what can that be related to? Because we are talking about a cube, write an expression for the volume? You can use the information above to solve for the density (g/cm3), see the next page