Molybdenum disilicide is an intermetallic compound used as a heating element in high temperature furnaces

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Molybdenum disilicide is an intermetallic compound used as a heating element in high temperature furnaces. The compound is known to crystallize into a body-centered tetragonal (BCT) cell (Mo takes the BCT positions) as shown. In this cell, a = b = 0.321 nm and c = 0.785 nm. Answer the following:

a. How many atoms per unit cell are there?

b. Assume the atoms touch along the diagonal directions in the base (the [110] direction for example). Calculate the Atomic Packing Factor.

c. Calculate the theoretical density of this substance.