Foundations of Materials Science and Engineering
6th Edition
ISBN: 9781259696558
Author: SMITH
Publisher: MCG
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Chapter 3.15, Problem 89SEP
To determine
The Miller indices for the given hexagonal crystal intersects and show that plane in hexagonal unit cell with key dimensions.
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4. Platinum (atomic radius = 1.38 Å) crystallizes in a cubic
closely packed structure. Calculate the edge length of the face-
centered cubic unit cell and the density of platinum.
(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
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6. Determine the linear density of the [110] direction for the shown crystal structure.
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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- Lead FCC Structure and Atomic Radius, r = 1.746. Find the Distance between the planes (200), (220) and (111), and draw the planesarrow_forward2. Find the indices for the directions shown in the following hexagonal unit cells. (a) (b)arrow_forwardA hypothetical tetrahedral crystal has the following lattice parameters: a = b = 0.40 nm, c = 0.5 nm, a = B = y = 90°. Please write the indices of all planes/directions that belong to the family of (i) {100} and (ii)arrow_forward
- Help me pleasearrow_forwardDraw the following direction vectors in an orthorhombic unitcell:[111],[201]and [2 ̄31]. with lattice parameters {1, 2, 3, 90, 90, 90}arrow_forwardSketch the following planes within a cubic unit cell (provide the steps followed and mark theselected origin).(0 1̅ 1 )(1 1 2̅ )(0 1 3̅ )arrow_forward
- The face-centered cubic cell has atoms: (select all that apply) In the middle of each side of the unit cell In the middle of each edge of the unit cell On the corners of the unit cell In the center of the unit cellarrow_forwardQ1: find miller indices for a crystallographic plane as showed in a below figure. This plane of simple cubic has a lattice constant of (5 A°). find diffraction angle when the incident X-rays have a wavelength of (1.54 Aº). *arrow_forwardWhat are all the planes in {101} family of an orthorhombic lattice?arrow_forward
- X :) Determine the indices for the planes in the cubic unit cell shown in the figure below. N B 1/3 ½ A →Yarrow_forwarda) Draw the [11 0], [-1 1 0], [ 0-1-1] directions for FCC and prove they are crystallographically equivalent. The family of directions is shown with these brackets. So we can say these directions are part of the family of directions. b) Draw the (1 o 0), (-1 0 0), (0 -1 0), and (00-1) planes for FCC and prove they are crystallographically equivalent. The family of directions is shown with {} these brackets. So we can say these planes are part of the {10 0} family of planes. h me Note that I cannot put a bar as the minus sign.arrow_forwardB: Draw the crystal atomic directions with following Miller indices. {011}, {110}, {012}. {123}, {222}.arrow_forward
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