9. Calculate the linear densities for the [100], [110] and [111] directions in a SC unit cell. Which of these directions would be considered a close-packed direction (meaning most dense)?
9. Calculate the linear densities for the [100], [110] and [111] directions in a SC unit...
Simple Cubic (SC) Structure 1. Write the Miller indices for the family of close-packed directions in the SC crystal. <hkl>= 2. Write the expression for theoretical density of a material with SC structure in terms of atomic radius (R), atomic weight (A), and Avogadro's number (NA). (Show your work.) 3. Calculate the planar density for the most densely packed SC planes in terms of atomic radius (R). (Show your work.) PD Body-Centered Cubic (BCC) Structure 4. How many non-parallel close-packed...
9. Write the Miller indices for the family of close-packed planes in the FCC crystal. {hkl} Hexagonally Close-Packed (HCP) Structure 10. What are the Miller-Bravais indices for the basal planes (i.e., the six-sided top and bottom) and side planes (i.e., the six rectangles of sides a and c) of the HCP unit cell? Basal planes: {uvtw} = Side planes: {uvtw} = 11. Calculate the planar density for the most densely packed HCP planes in terms of atomic radius (R). (Show...
Calculate the separations of planes {111},{211 }, and { 100 } in a crystal in which the cubic unit cell has side 432 pm (pm=10^-12 m).
Hexagonally Close-Packed (HCP) Structure 10. What are the Miller-Bravais indices for the basal planes (i.e., the six-sided top and bottom) and side planes (i.e., the six rectangles of sides a and c) of the HCP unit cell? Basal planes: {uvtw} Side planes: {uvtw} 11. Calculate the planar density for the most densely packed HCP planes in terms of atomic radius (R). (Show your work.) PD = 12. Convert the following directions to four-coordinate (Miller-Bravais) directions and sketch them. a. [100]...
1. Chapter 9. Problem#1 (40p): Consider a single crystal FCC iron oriented itch tensile stress applied along |122] direction. A) (10p) Draw a unit eell and show there: the plane (111), tensile direction, normal to the plane direction and slip directions (110,(101] and lo11) B) (10p) Compute the resolved shear stress in (MPa) on plane (111) along the three slip direction given in (B), when tensile stress of 80 MPa is applied. C) (10p) If the critical resolved shear stress...
Part A The plane famlies When beginning to think sbout calculating the maximum planar density, you will need to consider which plane to use. Selecting a plane can eeem daunting because there are an infinite number of planes in a cubic unit cell. However, when calculating the maximum pianar density for a plane with equal sized atoms, there are only a few families of planes that area important-thosee that pass through the corners of the unit cell. Sort all the...
7. ZnS has an FCC lattice with S2- in lattice positions. a. Calculate the number of S2- atoms in a unit cell. b. Given radii of Zn2+=0.88 nm and S2 =2.19 nm, calculate the coordination number. C. How must the Zn2+ ions be arranged in order to maintain charge neutrality and consistent packing size? d. Which direction will have the highest linear density of atoms: [100], [110], or [111]?
2. Sic has an fce lattice with si in lattice positions. Given radii of si 0.04nm and C 0.016nm, calculate the following: (a) What is the coordination number for Si? (b) Calculate the lattice parameter for the unit cell (c) Calculate the density of SiC (d) Which direction will have the highest linear density of atoms: [100]. [110] or [111]? (e) Why is this material brittle?
Niobium (Nb) has the BCC crystal with a lattice parameter a 0.3294 nm. Find the planar concentrations as the number of atoms per nm2 of the (100), (110) and (111) planes. Which plane has the most concentration of atoms per unit area? Sometimes the number of atoms per unit area nsurface on the surface of a crystal is estimated by using the relation nsurface - nbulk2/3 where nbulk is the concentration of atoms in the bulk. Compare nsurface values with...
1)(5 points) Walter White who lives in Side-centered cubic (scc) cell Simeranya (a utopic city in Anarres) Top view prepares blue crysta ls, 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.) a) Find out how many atoms are present in each unit cell. Calculate the atomic packing factor (APF) of scc unit cell. c) b) Given...