Foundations of Materials Science and Engineering
6th Edition
ISBN: 9781259696558
Author: SMITH
Publisher: MCG
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Question
Chapter 3.15, Problem 52AAP
(a)
To determine
Draw the hexagonal crystal plane having Miller-Bravais indices of
(a)
Expert Solution
Explanation of Solution
Show the hexagonal crystal plane having Miller-Bravais indices of
(b)
To determine
Draw the hexagonal crystal plane having Miller-Bravais indices of
(b)
Expert Solution
Explanation of Solution
Show the hexagonal crystal plane having Miller-Bravais indices of
(c)
To determine
Draw the hexagonal crystal plane having Miller-Bravais indices of
(c)
Expert Solution
Explanation of Solution
Show the hexagonal crystal plane having Miller-Bravais indices of
(d)
To determine
Draw the hexagonal crystal plane having Miller-Bravais indices of
(d)
Expert Solution
Explanation of Solution
Show the hexagonal crystal plane having Miller-Bravais indices of
(e)
To determine
Draw the hexagonal crystal plane having Miller-Bravais indices of
(e)
Expert Solution
Explanation of Solution
Show the hexagonal crystal plane having Miller-Bravais indices of
(f)
To determine
Draw the hexagonal crystal plane having Miller-Bravais indices of
(f)
Expert Solution
Explanation of Solution
Show the hexagonal crystal plane having Miller-Bravais indices of
(g)
To determine
Draw the hexagonal crystal plane having Miller-Bravais indices of
(g)
Expert Solution
Explanation of Solution
Show the hexagonal crystal plane having Miller-Bravais indices of
(h)
To determine
Draw the hexagonal crystal plane having Miller-Bravais indices of
(h)
Expert Solution
Explanation of Solution
Show the hexagonal crystal plane having Miller-Bravais indices of
(i)
To determine
Draw the hexagonal crystal plane having Miller-Bravais indices of
(i)
Expert Solution
Explanation of Solution
Show the hexagonal crystal plane having Miller-Bravais indices of
(j)
To determine
Draw the hexagonal crystal plane having Miller-Bravais indices of
(j)
Expert Solution
Explanation of Solution
Show the hexagonal crystal plane having Miller-Bravais indices of
(k)
To determine
Draw the hexagonal crystal plane having Miller-Bravais indices of
(k)
Expert Solution
Explanation of Solution
Show the hexagonal crystal plane having Miller-Bravais indices of
(l)
To determine
Draw the hexagonal crystal plane having Miller-Bravais indices of
(l)
Expert Solution
Explanation of Solution
Show the hexagonal crystal plane having Miller-Bravais indices of
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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 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)
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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) (011) (e) (717) (b) (112) (f) (122) (c) (102) (g) (723) (d) (131) (h) (013)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_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_forward
- B) Draw the following planes in the hexagonal crystal: (1) (1 0i ) (2) (ī010) (3) ( 0ī 11) (4) ( 0 1 o) C) Draw the following direction vectors in the cubic unit cell: (1) [111] (2) [011] (3) [110] (4) [112]arrow_forwardQ1).Sketch the [102] direction in a simple cubic lattice h e h Q2). Find the Miller indices of the plane shown below e k 2/3 1 b Karrow_forwardConsider an fcc lattice with cube side length 2.7 Å. What are the planar densities of the (110) and (100) planes respectively (in units of 1020 atoms/m²): (This question has only one correct answer) a. (100) = 0.19, (110) = 0.27 b. (100) = 0.27, (110) = 0.19 c. (100) = 0.41, (110) = 0.19 d. (100) = 0.27, (110) = 0.24arrow_forward
- (c) Find dk for: (i) A simple cubic lattice (ii) A orthorhombic lattice (a + b± c, a = B = y= /2)arrow_forwardChromium (Cr) has the Body-Centered Cubic (BCC) crystal structure. The edge length is a 0.288 nm. What is the linear density in atoms/nm along direction [111P Select one: O a. 7.48 b. 3.18 c. 6.37 d. 4.50 O e. 4.01 Europium has the Body-Centered Cubic (BCC) crystal structure shown in the figure below The radius of the Europium atom is r= 0.204 nm. What is the planar density in atoms/nm im plane (200)2 Plare(200)arrow_forwardDraw the plane direct and reciprocal lattice for: 3-1) a rectangular centered lattice with parameters a = 10nm, b = 14nm. 3-2) the rectangular lattice in (a) drawn as a primitive lattice.arrow_forward
- Q4). Sketch the [112 2 ] plane in the outline of the hexagonal lattice below a Parrow_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_forwardHelp me pleasearrow_forward
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