Foundations of Materials Science and Engineering
6th Edition
ISBN: 9781259696558
Author: SMITH
Publisher: MCG
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Chapter 3.15, Problem 38AAP
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What are the indices for the direction represented by the vector that has been drawn within a unit cell?
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Problem #5
a) Find the Miller indices for the planes shown in the following unit cell.
0.6 mm->
Plane 2
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0.8 mm
Plane 1
0.8 mm
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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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- Problem #4 a) Find the indices for the directions indicated by the two vectors in the shown sketch below 0.5 mm 0.4 mm 0.7 mm Direction 1 Direction 2 ty b) Sketch the following directions within a cubic unit cell: (a) [123], (b) [211], (c) [102], (d) [133]. c) Sketch the following planes within a cubic unit cell: (a) (011), (b) (102), (c) (112), and (d) (131)arrow_forwardRhodium (Rh) has the Face-Centered Cubic (FCC) crystal structure. The atomic radius of Rhodium is r= 0.134 nm at room temperature (20°C). Calculate the edge length "a" of the unit cell Select one: Oa 0.379 Ob.0.428 Oc 0.612 Od0.488 O e. 0.233 The indices for the direction shown in the figure are: 10:13 PM 15-Apr-2021arrow_forwardRhodium (Rh) has the Face-Centered Cubic (FCC) crystal structure. The atomic radius of Rhodium is r = 0.134 nm at room temperature (20°C). Calculate the edge length “a” of the unit cell  Select one: a. 0.612 b. 0.488 c. 0.379 d. 0.233 e. 0.428arrow_forward
- Choose the correct examples of hexagonal closed packing structure in the following options. O Manganese and Magnesium O inc and Manganese O Beryllium and Zinc O Magnesium and Ironarrow_forwardWhat is the angle between the [110] and [111] directions in the cubic system? Select one: a. 65.1° O b. 31.4° O c. 35.3 O d. 45.2 Calcium has the Face-Centered Cubic (FCC crystal. structure shown in the figure below. room temperature (20 C). Calculate the edge length "a" of the unit cellarrow_forwardThe diagram is a schematic illustration of what kind of defect? O A vacancy in an ionic ceramic O A vacancy in a metal O A dislocation O An interstitial impurity in a metalarrow_forward
- Question-7 Calculate the volume in cubic nanometers of the titanium crystal structure unit cell. Lattice constants for titanium at 20°C are a = 0.29504 nm and c = 0.46833 nm.arrow_forward4- Calculate the linear density of atoms (atoms/cm) in the [100], [110] and [111] directions in FCC copper (ao = 3.62 Ao). 5- Calculate the planner density of atoms (atoms/cm²) in BCC iron (ao = 2.86 Ao) in the (100), (110) and (111) planes.arrow_forwardHelp me pleasearrow_forward
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