Question

1) (5 points) Walter White who lives in Simeranya (a utopic city in Anarres) prepares blue crystals, named as myth, which adopt a side-centered cubic (scc) cell, where atoms occupy the center of sides of a cubic cell. (The myth molecule is assumed to have a perfect spherical shape.) Side-centered cubic (scc) cell Top view a) Find out how many atoms are present in each unit cell. b) Calculate the atomic packing factor (APF) of scc unit cell. c) Given the density of the material as 6.184 g/cm³ and a molar mass of 132 g/mol, determine the radius (in nm) of myth molecule. d) Find the linear density (in nm?¹) of the following vectors in scc; [111], [110], and [100]. (You can choose the origin as one of the corners of scc cell.) e) Determine the number of holes with coordination numbers 6, 8, and 12 per unit cell. 2) (5 points) Jesse Pinkman, Walter White's business associate, prepares blue myth crystals. After the synthesis, he uses powder XRD method to check if he prepared the right material. He decides that he has a contamination in the sample since he observes one extra peak that does not match to those of myth. a) Given the XRD data below, assign the Miller indices of all the peaks that belong to myth crystalline material (?= 0.15418 nm, n= 1 for Bragg's Law). (Diffraction angles are 18.72, 26.6, 28.64, 32.68, 42.64, 54.62°) b) Find the peak that belongs to impurity. Give the diffraction angle. c) Calculate the planar densities (in atoms/nm²) of the following the crystallographic planes; (222), (100), and (220). Units: NA= 6.02×10²³ atoms/mol

          1) (5 points) Walter White who lives in Simeranya (a utopic city in Anarres) prepares blue crystals, named as myth, which adopt a side-centered cubic (scc) cell, where atoms occupy the center of sides of a cubic cell. (The myth molecule is assumed to have a perfect spherical shape.)

Side-centered cubic (scc) cell
Top view

a) Find out how many atoms are present in each unit cell.
b) Calculate the atomic packing factor (APF) of scc unit cell.
c) Given the density of the material as 6.184 g/cm³ and a molar mass of 132 g/mol, determine the radius (in nm) of myth molecule.
d) Find the linear density (in nm?¹) of the following vectors in scc; [111], [110], and [100]. (You can choose the origin as one of the corners of scc cell.)
e) Determine the number of holes with coordination numbers 6, 8, and 12 per unit cell.

2) (5 points) Jesse Pinkman, Walter White's business associate, prepares blue myth crystals. After the synthesis, he uses powder XRD method to check if he prepared the right material. He decides that he has a contamination in the sample since he observes one extra peak that does not match to those of myth.

a) Given the XRD data below, assign the Miller indices of all the peaks that belong to myth crystalline material (?= 0.15418 nm, n= 1 for Bragg's Law). (Diffraction angles are 18.72, 26.6, 28.64, 32.68, 42.64, 54.62°)
b) Find the peak that belongs to impurity. Give the diffraction angle.
c) Calculate the planar densities (in atoms/nm²) of the following the crystallographic planes; (222), (100), and (220).

Units:
NA= 6.02×10²³ atoms/mol

$1) (5 points) Walter White who lives in Simeranya (a utopic city in Anarres) prepares blue crystals, named as myth, which adopt a side-centered cubic (scc) cell, where atoms occupy the center of sides of a cubic cell. (The myth molecule is assumed to have a perfect spherical shape.) Side-centered cubic (scc) cell Top view a) Find out how many atoms are present in each unit cell. b) Calculate the atomic packing factor (APF) of scc unit cell. c) Given the density of the material as 6.184 g/cm³ and a molar mass of 132 g/mol, determine the radius (in nm) of myth molecule. d) Find the linear density (in nm?¹) of the following vectors in scc; [111], [110], and [100]. (You can choose the origin as one of the corners of scc cell.) e) Determine the number of holes with coordination numbers 6, 8, and 12 per unit cell. 2) (5 points) Jesse Pinkman, Walter White's business associate, prepares blue myth crystals. After the synthesis, he uses powder XRD method to check if he prepared the right material. He decides that he has a contamination in the sample since he observes one extra peak that does not match to those of myth. a) Given the XRD data below, assign the Miller indices of all the peaks that belong to myth crystalline material (?= 0.15418 nm, n= 1 for Bragg's Law). (Diffraction angles are 18.72, 26.6, 28.64, 32.68, 42.64, 54.62°) b) Find the peak that belongs to impurity. Give the diffraction angle. c) Calculate the planar densities (in atoms/nm²) of the following the crystallographic planes; (222), (100), and (220). Units: NA= 6.02×10²³ atoms/mol$

Added by Vicente M.

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