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Derive and calculate the volume ( 16pts) and the atomic packing factor (8pts) for titanium which has a hexagonal close-packed structure, atomic radius of 187pm,
Derive and calculate the volume ( 16pts) and the atomic packing factor (8pts) for titanium which has a hexagonal close-packed structure, atomic radius of 187pm, and an h-to-a ratio is 1.587. Note: the center layer consists of the half atoms on the face of the unit cell. You must derive the volume using geometry and not just look up the formula for a hexagon. (20 pts)
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