a) Draw the [210] direction (Ipts), the (121) plane (Ipts) b) What kinds of atomic bonding do we have in metal, ceramic, polymer? Please explain the relation of atomic bonding with the material properties (4 pts) by using the diagram of atomic bonding energy vs atomic distance c) The dimensions of the micrograph below is 4 inch x 2 inch. Determine the ASTM grain size number ('n') following the image at Magnification 2BC. (BC magnification is the last two digits of your registration number) (4 pts) d) An iron-carbon alloy contains 5 carbon atoms dissolved interstitially per 1000 unit cell of BCC iron. Al the same temperature, the alloy contains 5 vacancies. Calculate the mass density of Fe/C alloy. The atomic weight and atomic radius of the iron are 55.85 g/mol and 0.124 nm, respectively. The atomic weight of carbon is 12g/mol. Avogadro's number is 6.02 x 10" (5 pts)