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PROBLEMI (1.25 points) The following figure shows two metallographic directions of the cubic cell of a certain metal. Answer the questions a) (0,25 points) What is its theoretical density, in g/cm?? b) (0,25 points) indicates the coordinates of two octahedral interstitial sites and a close- packed direction. c (0,25 points) Calculates if an oxygen atom fits in any of its interstices (tetrahedral or octahedral) (Radius of oxygen = 0,152 nm) d) (0,5 points) A sheet of the previous metal is placed in contact with a sheet of ceramic material, 1 cm thick, as shown in the figure on the right. Assuming that the initial concentration of the metal is the density calculated in part a) and that no atom reaches the furthest surface of the ceramic material, determine the mass flux through the ceramic sheet at 700°C. (The diffusion coefficient is D= 6-10° m²/s). Data: its atomic weight (A) is 63,5 g/mol and Avogadro's number (NA) is 6,022-10 atoms/mol. 1 em [001]] QQ 0,362 nm metal Ceramic [110] 0,512 Com