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4. Draw a cube such as Fig. 1-6, and show for 111 planes with different orientations....
a) In one unit cube (a) show the (111) and the (11-1). Along what direction do they intersect? b) In another unit cube (b) Draw the [122] and the [123]. In another unit cube (c) show a close pack plane in the fcc structure and indicate two close packed directions in that close pack plane in the fcc structure. 3)
a) In one unit cube (a) show the (111) and the (11-1). Along what direction do they intersect? b) In...
1. For each of the (100). (110), and (111) planes, state all of the < 100 >, < 110 >, and < 111 > directions that lie on each of the planes. Hint: the directions that lie on the plane are perpendicular to the plane normal. The normal direction of a cubic plane has the same indices as the plane.
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...
Sketch the following planes within a cubic unit cell and label any intersection with a cube edge that is different from 1 or 0. (Draw only a single representation of the plane, as more than one may be possible by way of translational symmetry).
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...
Draw the corresponding stress cube for both the stress tensors shown in Figure Q2A, part (1) and (II). [6 Marks) (i) (ii) -19 -4 -4 4 6 1 6 1 -8 Pa -1 8 -4 8 -3 -5 Pa -4 -5 2 Fig. Q2A
5-7 Using Fig. 5-13, show that the y components in Cottrel's equation (a/2)[II1] (a/2)[111]- a[001] cancel each other with a release of elastic energy. Show that this equals the energy gained by the x components of the reaction o, 4 (001)
5-7 Using Fig. 5-13, show that the y components in Cottrel's equation (a/2)[II1] (a/2)[111]- a[001] cancel each other with a release of elastic energy. Show that this equals the energy gained by the x components of the reaction
o,...
A single crystal in the form of a cube has two possible slip planes. (1) and (2). as shown in the sketch below. Each of these planes has two possible slip directions, (a) and (b), as is also shown. The angle between the tensile load axis and slip plane normal for both slip planes is 450 40 <plane (1)> <plane (2)> a) If a stress is applied to this crystal in the direction noted, specify which particular (eg. plane (1),...
Various isomers of 2-chloro-3-methylpentan-1-ol are shown below
in different conformations and orientations. Using the template
proveded on top of each drawing, add the chloro- and
methyl-substituents with the correct shereochemistry. Try to do
this by seeing if the arc traces by each stereocenter is the same
as it is in the compounds shown below the templates.
2. Various isomers of 2-chloro-3-methylpentan-1-ol are shown below in different conformations d orientations. Using the template provided on top of each drawing, add the...
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...