Foundations of Materials Science and Engineering
6th Edition
ISBN: 9781259696558
Author: SMITH
Publisher: MCG
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Question
Chapter 3.15, Problem 64AAP
(a)
To determine
The linear atomic density of atom.
(b)
To determine
The linear atomic density of atom.
(c)
To determine
The linear atomic density of atom.
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Within a cubic unit cell, sketch the following directions:
(a) [110] (b)
[121] (c)
[012] (d)
[133]
(a) Derive linear density expressions for BCC [110] and [111] directions in terms of the atomic radius R and (b) compute linear density
values for these same two directions for tungsten.
(a)
[110]: i
[111]: i
(b)
[110]: i
[111]:
eTextbook and Media
atom/R
atom/R
1/m
1/m
(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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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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- 1. Within a cubic unit cell, sketch the following directions: [110], [121], [0Ī2], [123], [103]arrow_forwardThe expression linear atomic density is derived for the FCC [111], [100] vectors in terms of radius Calculate the linear epaulettes of the two vectors of copper.arrow_forwardFor tetragonal crystals, cite the indices of directions that are equivalent to each of the following directions: 2 Your answer is incorrect. [001] 0 0- 1] O [10 1] I- 100]arrow_forward
- Out of every 1000 Tera atoms in pure Si, 28 atoms provide a free electron at room temperature. (1) What is the fraction (to 2 significant figures or will be marked wrong) of Si atoms that produce a conduction electron? (2) What is n, the density of conduction electrons? Answer must be to 2 significant figures or will be marked wrong. [1/m^3] Ne earrow_forwardWithin a cubic unit cell, sketch: (a) [101] (b) [211] (c) [301]arrow_forward. A. The term linear atomic density is derived for FCC [111]. [100] The vectors in terms of radius B Calculate the linear intensities of the two copper vectorsarrow_forward
- 6. Within a cubic unit cell, sketch the following directions: ( :)) (a) [110] (e) [771] (b) [121] (f) [722] (c) [072] (d) [133] (g) [123] (h) [103]arrow_forwardDraw the following crystal directions within an orthorhombic unit cell: [101], [112], [100], [110], and [021]arrow_forwardHelp me pleasearrow_forward
- 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)arrow_forwardThe metal niobium has a BCC crystal structure. If the angle of diffraction for the (211) set of planes occurs at 75.99° (first-order reflection) when monochromatic x-radiation having a wavelength of 0.1659 nm is used, compute the following: (a) The interplanar spacing for this set of planes i nm (b) The atomic radius for a Nb atom nmarrow_forwardDraw the following direction vectors in an orthorhombic unitcell:[111],[201]and [2 ̄31]. with lattice parameters {1, 2, 3, 90, 90, 90}arrow_forward
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