Foundations of Materials Science and Engineering
6th Edition
ISBN: 9781259696558
Author: SMITH
Publisher: MCG
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Chapter 3.15, Problem 43AAP
(a)
To determine
Show the crystallographic plane
(b)
To determine
Show the crystallographic plane
(c)
To determine
Show the crystallographic plane
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Sketch within a cubic unit cell the following planes: (d) (212) (e) (012) (f) (312) (g) (313) (h) (301)
Sketch within a cubic unit cell the following planes: (a) (101) (b) (111) (c) (211) (d) (212) (e) (012) (f) (312) (g) (313) (h) (301)
Sketch within a cubic unit cell the following planes:
(a) (011)
(b) (112)
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Chapter 3 Solutions
Foundations of Materials Science and Engineering
Ch. 3.15 - Prob. 1KCPCh. 3.15 - Prob. 2KCPCh. 3.15 - Prob. 3KCPCh. 3.15 - Prob. 4KCPCh. 3.15 - Prob. 5KCPCh. 3.15 - Prob. 6KCPCh. 3.15 - Prob. 7KCPCh. 3.15 - Prob. 8KCPCh. 3.15 - Prob. 9KCPCh. 3.15 - Prob. 10KCP
Ch. 3.15 - Prob. 11KCPCh. 3.15 - Prob. 12KCPCh. 3.15 - Prob. 13KCPCh. 3.15 - Prob. 14KCPCh. 3.15 - Prob. 15KCPCh. 3.15 - Prob. 16KCPCh. 3.15 - Prob. 17KCPCh. 3.15 - Prob. 18KCPCh. 3.15 - Prob. 19KCPCh. 3.15 - Prob. 20KCPCh. 3.15 - Prob. 21KCPCh. 3.15 - Prob. 22KCPCh. 3.15 - Prob. 23KCPCh. 3.15 - Prob. 24AAPCh. 3.15 - Prob. 25AAPCh. 3.15 - Prob. 26AAPCh. 3.15 - Prob. 27AAPCh. 3.15 - Prob. 28AAPCh. 3.15 - Prob. 29AAPCh. 3.15 - Prob. 30AAPCh. 3.15 - Prob. 31AAPCh. 3.15 - Prob. 33AAPCh. 3.15 - A direction vector passes through a unit cube from...Ch. 3.15 - Prob. 36AAPCh. 3.15 - Prob. 37AAPCh. 3.15 - Prob. 38AAPCh. 3.15 - Prob. 41AAPCh. 3.15 - Prob. 42AAPCh. 3.15 - Prob. 43AAPCh. 3.15 - Prob. 44AAPCh. 3.15 - Prob. 45AAPCh. 3.15 - Prob. 46AAPCh. 3.15 - Prob. 47AAPCh. 3.15 - Rodium is FCC and has a lattice constant a of...Ch. 3.15 - Prob. 49AAPCh. 3.15 - Prob. 50AAPCh. 3.15 - Prob. 51AAPCh. 3.15 - Prob. 52AAPCh. 3.15 - Prob. 53AAPCh. 3.15 - Prob. 54AAPCh. 3.15 - Prob. 55AAPCh. 3.15 - Determine the Miller-Bravais direction indices of...Ch. 3.15 - Determine the Miller-Bravais direction indices of...Ch. 3.15 - Prob. 58AAPCh. 3.15 - Prob. 59AAPCh. 3.15 - Prob. 60AAPCh. 3.15 - Prob. 61AAPCh. 3.15 - Prob. 62AAPCh. 3.15 - Prob. 63AAPCh. 3.15 - Prob. 64AAPCh. 3.15 - Prob. 65AAPCh. 3.15 - Prob. 66AAPCh. 3.15 - Prob. 67AAPCh. 3.15 - Prob. 68AAPCh. 3.15 - Prob. 69AAPCh. 3.15 - Prob. 70AAPCh. 3.15 - Prob. 71AAPCh. 3.15 - Prob. 72AAPCh. 3.15 - Prob. 73AAPCh. 3.15 - Prob. 74SEPCh. 3.15 - Prob. 75SEPCh. 3.15 - Prob. 76SEPCh. 3.15 - Assuming that the volume of an HCP metal cell...Ch. 3.15 - Prob. 79SEPCh. 3.15 - Prob. 80SEPCh. 3.15 - Prob. 81SEPCh. 3.15 - Prob. 82SEPCh. 3.15 - Prob. 83SEPCh. 3.15 - Prob. 84SEPCh. 3.15 - Prob. 85SEPCh. 3.15 - Prob. 86SEPCh. 3.15 - Prob. 87SEPCh. 3.15 - Prob. 88SEPCh. 3.15 - Prob. 89SEPCh. 3.15 - Prob. 90SEPCh. 3.15 - Prob. 91SEPCh. 3.15 - Prob. 92SEPCh. 3.15 - Prob. 93SEPCh. 3.15 - Prob. 94SEPCh. 3.15 - Prob. 95SEPCh. 3.15 - Prob. 96SEP
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- 7. Sketch within a cubic unit cell the following planes: (a) (077) (e) (TIT) (b) (112) (f) (122) (c) (102) (g) (723) (d) (131) (h) (013)arrow_forwardSketch the following planes and directions within a cubic unit cell: Describe the procedures for both of the direction and the plane. (a) [110] (b) [221] (c) [410] (d) [012] (e) [321] (f) [111] (g) (111) (h) (011) (i) (030) () (121) (k) (113) (1) (071)arrow_forward(b) Draw the following direction vectors in a cubic unit cell: [212] and [101] Draw the following crystallographic planes in a cubic unit cell: (111) and (121) "oin 2/2 Page 1 of 2arrow_forward
- Draw the following planes within a simple cubic unit cell: (213), (213), (213), (213), (213), (213), (213), and (213).arrow_forward1. Many substances crystallize in a cubic structure. The unit cell for such crystals is a cube having an edge with a length equal to do. -Face diagonal a. What is the length, in terms of do, of the face diagonal, which runs diagonally across one face of the cube? (Hint: Use the Pythagorean theorem.) b. What is the length, again in terms of do. of the cube diagonal, which runs from one corner, through the center of the cube, to the opposite corner? (Hint: Make a right triangle having a face diagonal and an edge of the cube as its sides, with the hypotenuse equal to the cube diagonal, then use the Pythagorean theorem again.) 2. In an FCC structure, the centers of the atoms are found on the corners of the cubic unit cell and at the center of each face. The unit cell has an edge whose length is the distance from the center of one corner atom to the center of another corner atom on the same edge. The atoms on the diagonal of any face are touching. One of the faces of the unit cell is shown…arrow_forwardWhat are the Miller indices for the plane drawn in the sketch below? y X Select one: . (11}) b. (210) С. (220) d. (102) e. (112)arrow_forward
- Draw the planes (011), (112) & (123) along with their 20ne axis [111] in a cubic unit cell. so1" (011) X ? у ¡ 2: I 1 1 R O 1 Indices (011)arrow_forwardVanadium has the Body-Centered Cubic (BCC) crystal structure shown in the figure below. The radius of the Vanadium atom is r= 0.132 nm. What is the planar density in atoms/nm2 in plane (200)? Plane (200) Select one: a. 10.76 b. 21.52 C. 16.19 d. 7.61 e. 3.80arrow_forward2. A 2D representation of crystalline structure is shown below. Please indicate the type of defects in these crystalline materials: (d) (a) (b) (c)arrow_forward
- Help me pleasearrow_forwardFor the images shown below, which Miller indices for crystallographic planes are included? lu C. Z Select one or more: a. (111) b. (230) (211) d. (110) e. (100) b y X a/2 Z b Z 2b/3arrow_forward1. It is often convenient to represent a fcc lattice as simple cubic, with a cubic primitive cell of side a and a four-point basis. (a) Show that the structural factor is then either 4 or 0 at all points of the simple cubic reciprocal lattice. (b) Show that when points with zero structural factor are removed, the remaining points of the reciprocal lattice makes up a bcc cubic lattice with conventional cell of side 4л/a. Why is this expected?arrow_forward
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