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Question 1. a) Determine the indices of the cubic crystal plane that intersects the position coordinates...
problem 3.46 engineering materials 3.46 Determine the Miller indices of the cubic crystal plane that intersects...
problem 3.46
engineering materials
3.46 Determine the Miller indices of the cubic crystal plane that intersects the following position coordinates: (1, 1, 1): 6.0.2); (1,0,1). 3.47 Determine the Miller indices of the cubic crystal plane that intersects the following position coordinates: (0, 0, 1): (1,0,0); G.,0). 3.48 Rodium is FCC and has a lattice constant anf38014 nm Calculate the followinn
Determine the Miller indeces of the cubic crystal plane which intersects the following position coordinates: (1,1/2,1);...
Determine the Miller indeces of the cubic crystal plane which intersects the following position coordinates: (1,1/2,1); (1/2,0,3/4); (1,0,1/2).
(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...
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...
determine the miller-bravais direction indices of the basal plane of the vectors originating at the center...
determine the miller-bravais direction indices of the basal
plane of the vectors originating at the center of the lower basal
plane and exiting at the midpoints between the principal planar
axes.
and Amorphous Structure in Materials CHAPTER 3 Crystal a2 -dy di Figure P3.58 3.60 Determine the Miller- Bravais direction indices of the vectors originating at the 3.61 Determine the Miller-Bravais direction indices of the basal plane of the vectors 3.62 Determine the Miller-Bravais direction indices of the directions indicated...
(i) Given: a cubic crystal. Derive a general relationship between interplanar spacing dhkland lattice constant a,...
(i) Given: a cubic crystal. Derive a general relationship between interplanar spacing dhkland lattice constant a, for a plane whose Miller indices are (hkl). (ii) For a BCC iron crystal, the lattice constant a is 0.2866 nm. What is the interplanar spacing for the (220) planes in the crystal. Assume x-rays of wavelength of 0.1790 nm are used for diffraction experiments. (iii) What is the value of the diffraction angle 2 theta from the (220) planes at which diffraction spots...
3. (20 pts. total) The primary slip plane for a BCC structure is the (110 family...
3. (20 pts. total) The primary slip plane for a BCC structure is the (110 family of planes although slip can also occur on alternate planes. a. (3 pts.) On the left cube below, draw and label two planes from the (110 family of planes. b. (3 pts.) On the right cube below, two alternate slip planes are shown. What are the Miller indices of these planes? (Note: The blue plane intersects the y-axis at 1/2 and the z-axis at...
(1) A crystalline grain of iron (BCC crystal structure) in a metal plate is situated so that a te...
(1) A crystalline grain of iron (BCC crystal structure) in a metal plate is situated so that a tensile stress is applied along the [110] crystal direction of the grain, if slip occurs on a (101) plane and a [111] direction, determine the amount of tensile stress that is required to produce a critical resolved shear stress of 31.1MPa in the grain? [15 points] (2) Draw the unit cell structure, and on your sketch indicate: (i) the tensile direction, (ii)...
Q1: What are the indices for the two planes drawn in the sketch below? +z Plane...
Q1: What are the indices for the two planes drawn in the sketch below? +z Plane 1 Plane 2 +y 0.3 nm 0.6 nm -0.6 nm +x Solution: (only inside the table) Plane 1 y. 2 Intercepts Intercepts in terms of a, b, and с Reciprocals of intercepts Enclosure Plane 2 X Y. Z Intercepts Intercepts in terms of a, b, and с Reciprocals of intercepts Enclosure Q2: The accompanying figure shows three different crystallographic planes for a unit cell...
6. A single crystal, a. is made of grains with different crystallographic directions b. is formed as the result of...
6. A single crystal, a. is made of grains with different crystallographic directions b. is formed as the result of interlocking unit cells without any interruption c. does not show polymorphism d. has isotropic properties 7. By increasing the temperature from room temperature to the melting point of iron, the sequence of polymorphic transformations of iron is a FCC-BCC-HCP b. FCC-BCC-FCC c. BCC-FCC-BCC d. BCC-FCC-HCP 8. The Miller indices for the crystallographic plane shown are a. (123) b. (336) c....
problem 3.46
engineering materials
3.46 Determine the Miller indices of the cubic crystal plane that intersects the following position coordinates: (1, 1, 1): 6.0.2); (1,0,1). 3.47 Determine the Miller indices of the cubic crystal plane that intersects the following position coordinates: (0, 0, 1): (1,0,0); G.,0). 3.48 Rodium is FCC and has a lattice constant anf38014 nm Calculate the followinn
(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...
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...
determine the miller-bravais direction indices of the basal
plane of the vectors originating at the center of the lower basal
plane and exiting at the midpoints between the principal planar
axes.
and Amorphous Structure in Materials CHAPTER 3 Crystal a2 -dy di Figure P3.58 3.60 Determine the Miller- Bravais direction indices of the vectors originating at the 3.61 Determine the Miller-Bravais direction indices of the basal plane of the vectors 3.62 Determine the Miller-Bravais direction indices of the directions indicated...
3. (20 pts. total) The primary slip plane for a BCC structure is the (110 family of planes although slip can also occur on alternate planes. a. (3 pts.) On the left cube below, draw and label two planes from the (110 family of planes. b. (3 pts.) On the right cube below, two alternate slip planes are shown. What are the Miller indices of these planes? (Note: The blue plane intersects the y-axis at 1/2 and the z-axis at...
(1) A crystalline grain of iron (BCC crystal structure) in a metal plate is situated so that a tensile stress is applied along the [110] crystal direction of the grain, if slip occurs on a (101) plane and a [111] direction, determine the amount of tensile stress that is required to produce a critical resolved shear stress of 31.1MPa in the grain? [15 points] (2) Draw the unit cell structure, and on your sketch indicate: (i) the tensile direction, (ii)...
Q1: What are the indices for the two planes drawn in the sketch below? +z Plane 1 Plane 2 +y 0.3 nm 0.6 nm -0.6 nm +x Solution: (only inside the table) Plane 1 y. 2 Intercepts Intercepts in terms of a, b, and с Reciprocals of intercepts Enclosure Plane 2 X Y. Z Intercepts Intercepts in terms of a, b, and с Reciprocals of intercepts Enclosure Q2: The accompanying figure shows three different crystallographic planes for a unit cell...
6. A single crystal, a. is made of grains with different crystallographic directions b. is formed as the result of interlocking unit cells without any interruption c. does not show polymorphism d. has isotropic properties 7. By increasing the temperature from room temperature to the melting point of iron, the sequence of polymorphic transformations of iron is a FCC-BCC-HCP b. FCC-BCC-FCC c. BCC-FCC-BCC d. BCC-FCC-HCP 8. The Miller indices for the crystallographic plane shown are a. (123) b. (336) c....
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