please help step by step solution If the atomic radius of aluminum is 0.143 nm, calculate the volume of its unit cell in cubic meters. (You have to find what type of structure Al has from Table3.1...

If the atomic radius of aluminum is 0.143 nm, calculate the volume of its unit cell in cubic meters. (You have to find what type of structure Al has from Table3.1 first). Below is a unit cell for a hypothetical metal. Refer to Table3.2, which crystal system does this unit cell belong? What would this crystal structure be called? Calculate the density of the material, assuming its atomic weight is 156 g/mol. Refer to the figure tor Problem 2. If the atomic radius, R = 0. 15 nm. clearly the height of the cell # 0.40 nm. Calculate what the height of the cell should be. assuming the center atom touches all 8 comer atoms? Determine the coordination number for the center atom. Calculate the atomic packing factor ( APF) for this cell. List the point coordinates of ALL the titanium, and oxygen ions for a unit cell of the perovskite crystal structure (Figure 12.6. as shown below). Make sure you clearly label your axes, and indicate the origin. Figure 12.6 A unit cell for the perovskite crystal structure Show for the body - centered cubic (BCC) crystal structure that the unit cell edge length a and the atomic radius R are related algebraically, a = 4R/3. If a metal is known to have a structure in the cubic system, with a density of 5.96 g/cm3 atomic weight of 50.8 g/mol. and atomic radius of 0.131 nm. suggest what crystal structure should this metal have.