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Question 1 (a) Identify the following planes in a cubic crystal. (2 marks)...
Question 61 [6 marks] (a) In the crystal structure of sphalerite (ZnS), the sulfur anions (S2)...
Question 61 [6 marks] (a) In the crystal structure of sphalerite (ZnS), the sulfur anions (S2) adopt a face-centred cubic arrangement. Using the cubic framework shown below, draw the anion locations in a face-centred cubic unit cell. (Represent each ion as a small solid circle). For the face-centred cubic unit cell you have drawn in (a), how many sulfur anions (b) make a contribution to the unit cell? What is the sulfur anion content of the face-centred cubic unit cell...
(a) Differentiate between Face- Centered Cubic (FCC) and Body-Centered Cubic (BCC) crystal structures. Why FCC metals...
(a) Differentiate between Face- Centered Cubic (FCC) and Body-Centered Cubic (BCC) crystal structures. Why FCC metals are more ductile than BCC metals? 5 marks) (ii) show the relationship between the unit cell edge length, a, and the atomic radius, R, for a BCC crystal. Iron has a BCC crystal structure, an atomic radius of 0.124 nm, and atomic weight of 55.85 g/mol. Calculate its theoretical density Given: Avogardo's Number is 6.02 x 105 atoms/mol (5 marks) Figure 1 Determine the...
Question 1. a) Determine the indices of the cubic crystal plane that intersects the position coordinates...
Question 1. a) Determine the indices of the cubic crystal plane that intersects the position coordinates 1,1/4.0: 1.1.1/2: 34.1,1/4 (5 Marks) b) Sketch the (110) plane in a bcc unit cell and give the positions of the atoms whose centers are intersected by this plane. (5 Marks) c) Draw and state the indices for the major slip planes and slip directions that occur in the unit cells of iron, copper, and zinc. (10 Marks)
Homework 3:(Crystal Structure)- Due Thursday 1. Draw the following planes and directions in a tetragonal unit...
Homework 3:(Crystal Structure)- Due Thursday 1. Draw the following planes and directions in a tetragonal unit cell : (001), (011, 13), 110, 1201], [-101] Show cell axes. 2. Find the diffraction direction for Orthorhom bie and Hexagonal crystal lattice 3. Determine, and list in order of increasing angle, the values of 20 and corresponding (hkl for the first three lines (those of lowest 20 values) on the powder patterns of substances with the following structures, the incident radiation being Cu...
1. Among others, a crystal exhibits the following planes: (132), (153), (271), (12ī), and (001) (a)...
1. Among others, a crystal exhibits the following planes: (132), (153), (271), (12ī), and (001) (a) Which planes lie on a zone and what is the corresponding zone axis? (b) Give two other planes that you would expect to lie on the same zone and show that they do.
Question 4: Write down all of the slip planes and slip directions for simple cubic (SC). How many...
Question 4: Write down all of the slip planes and slip directions for simple cubic (SC). How many slip systems are there? Question 5: The Burgers vector b indicates the direction and magnitude of dislocation slip in crystal structures. Said simply, the Burgers vector closes the loop when traversing an equal number of steps around a dislocation. Using a figure like shown here, graphically draw the Burgers vector around a dislocation defect in a simple cubic crystal. Question 6: Permanent...
help question 4 (iv) For a simple cubic erystal Ano 0.43 836 74838, while for a face centered cubic crystal Aro 12.31 aad As 16.97. Which crystal structure is more strongly bound at equilibrium?5...
help question 4
(iv) For a simple cubic erystal Ano 0.43 836 74838, while for a face centered cubic crystal Aro 12.31 aad As 16.97. Which crystal structure is more strongly bound at equilibrium?5 Question 4 (25 marks) (i) Name any three properties of metals and expiain these on the basis of the classical free electron theory of metals (B) [7l (i) Describe the breakdown of the classicel theory of conduction in metals, and how the application of quantum mechanics...
2. Compute the following: a. Find the spacing between the (111) planes in the following lattices...
2. Compute the following: a. Find the spacing between the (111) planes in the following lattices Simple Cubic, Body Centered Cubic, and Face Centered Cubic b. Repeat part a. for the (220) and the (222) planes. c. Does third order X-ray diffraction occur from the (111) planes in the simple cubic lattice (lattice constant 5.196 Angstroms) at an angle of 30 degrees for an X-ray wavelength of 1 Angstrom. d. Does your answer to part c. remain the same if...
Please show all answers and steps please. Problem-1 (Crystallography 12 points (a) A material is a...
Please show all answers and steps please.
Problem-1 (Crystallography 12 points (a) A material is a volume of 1 cm, is composed of an fcc lattice with a lattice constant of 2.5nm. The "atoms" in this material are actually coffee beans. Assume the coffee beans are hard spheres with each bean touching its nearest neighbor. Determine the volume of coffee after coffee beans have been ground (assume 100% packing density of the ground coffee? [2 pts.] (b) Consider a three-dimensional...
Simple Cubic (SC) Structure 1. Write the Miller indices for the family of close-packed directions in...
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...
Question 61 [6 marks] (a) In the crystal structure of sphalerite (ZnS), the sulfur anions (S2) adopt a face-centred cubic arrangement. Using the cubic framework shown below, draw the anion locations in a face-centred cubic unit cell. (Represent each ion as a small solid circle). For the face-centred cubic unit cell you have drawn in (a), how many sulfur anions (b) make a contribution to the unit cell? What is the sulfur anion content of the face-centred cubic unit cell...
(a) Differentiate between Face- Centered Cubic (FCC) and Body-Centered Cubic (BCC) crystal structures. Why FCC metals are more ductile than BCC metals? 5 marks) (ii) show the relationship between the unit cell edge length, a, and the atomic radius, R, for a BCC crystal. Iron has a BCC crystal structure, an atomic radius of 0.124 nm, and atomic weight of 55.85 g/mol. Calculate its theoretical density Given: Avogardo's Number is 6.02 x 105 atoms/mol (5 marks) Figure 1 Determine the...
Question 1. a) Determine the indices of the cubic crystal plane that intersects the position coordinates 1,1/4.0: 1.1.1/2: 34.1,1/4 (5 Marks) b) Sketch the (110) plane in a bcc unit cell and give the positions of the atoms whose centers are intersected by this plane. (5 Marks) c) Draw and state the indices for the major slip planes and slip directions that occur in the unit cells of iron, copper, and zinc. (10 Marks)
Homework 3:(Crystal Structure)- Due Thursday 1. Draw the following planes and directions in a tetragonal unit cell : (001), (011, 13), 110, 1201], [-101] Show cell axes. 2. Find the diffraction direction for Orthorhom bie and Hexagonal crystal lattice 3. Determine, and list in order of increasing angle, the values of 20 and corresponding (hkl for the first three lines (those of lowest 20 values) on the powder patterns of substances with the following structures, the incident radiation being Cu...
1. Among others, a crystal exhibits the following planes: (132), (153), (271), (12ī), and (001) (a) Which planes lie on a zone and what is the corresponding zone axis? (b) Give two other planes that you would expect to lie on the same zone and show that they do.
Question 4: Write down all of the slip planes and slip directions for simple cubic (SC). How many slip systems are there? Question 5: The Burgers vector b indicates the direction and magnitude of dislocation slip in crystal structures. Said simply, the Burgers vector closes the loop when traversing an equal number of steps around a dislocation. Using a figure like shown here, graphically draw the Burgers vector around a dislocation defect in a simple cubic crystal. Question 6: Permanent...
help question 4
(iv) For a simple cubic erystal Ano 0.43 836 74838, while for a face centered cubic crystal Aro 12.31 aad As 16.97. Which crystal structure is more strongly bound at equilibrium?5 Question 4 (25 marks) (i) Name any three properties of metals and expiain these on the basis of the classical free electron theory of metals (B) [7l (i) Describe the breakdown of the classicel theory of conduction in metals, and how the application of quantum mechanics...
2. Compute the following: a. Find the spacing between the (111) planes in the following lattices Simple Cubic, Body Centered Cubic, and Face Centered Cubic b. Repeat part a. for the (220) and the (222) planes. c. Does third order X-ray diffraction occur from the (111) planes in the simple cubic lattice (lattice constant 5.196 Angstroms) at an angle of 30 degrees for an X-ray wavelength of 1 Angstrom. d. Does your answer to part c. remain the same if...
Please show all answers and steps please.
Problem-1 (Crystallography 12 points (a) A material is a volume of 1 cm, is composed of an fcc lattice with a lattice constant of 2.5nm. The "atoms" in this material are actually coffee beans. Assume the coffee beans are hard spheres with each bean touching its nearest neighbor. Determine the volume of coffee after coffee beans have been ground (assume 100% packing density of the ground coffee? [2 pts.] (b) Consider a three-dimensional...
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...
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