Foundations of Materials Science and Engineering
6th Edition
ISBN: 9781259696558
Author: SMITH
Publisher: MCG
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Question
Chapter 3.15, Problem 33AAP
To determine
The direction indices of the unit cube between the coordinate positions.
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a) Determine the Miller indices for the direction vectors sketched below. Use the correct
notation! Ignore vector D.
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X
A.
B.
C.
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A
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Onigin (0,0)
A: x=
B: x =
C: x=
₁ Y =, Z=
,
₁ Y =₁ Z=
₁ Y=₁² =
y=
Z
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= [
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Question 17
Determine the Miller indices of directions for the vectors A & D as shown in the figure below.
+2
C
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(b) Determine the indices for the direction shown in the figure:
X
A
B
2/5
→ Y
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_forwardThe indices for the direction shown in the figure are: Select one: O a 10 O b. (210 C. O d. 021 Q e 01arrow_forwardDetermine the crystallographic direction for vector AB shown in the figure below: ANSWERS: answer as "YES" or "NO" B (0,0,0) (0,2,0) (1) Does the vector need to be repositioned? Projection (2) Please complete the table below: Reduction X A 11 "1 (0,1,1) 11 Y 11 11 Please enter your Narrow_forward
- 3.35 Determine the indices for the directions shown in the following cubic unit cell: +z A 21 C 1 1 2' 2 2 +y +x B.arrow_forwardDraw the following direction vectors in an orthorhombic unitcell:[111],[201]and [2 ̄31]. with lattice parameters {1, 2, 3, 90, 90, 90}arrow_forward1/2 1/2 1/2 C. B. Within a cubic unit cell, sketch the following directions; A, B and C Exercice n°2 2+arrow_forward
- (c) Determine the indices for the directions shown for A, B, C and D in the cubic unit cell in Figure Q1(c). +z A D +y Figure Q1(c). 1/2arrow_forward5. What are the indices for the directions indicated by the two vectors in the sketch below? 0.4 nm Direction 2 +y 0.3 nm -0.5 nm- Direction 1arrow_forward6. 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_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_forwardGiven the image below, what is the summation of moments about the x axis?arrow_forwardProblem #5 a) Find the Miller indices for the planes shown in the following unit cell. 0.6 mm-> Plane 2 +2 0.8 mm Plane 1 0.8 mm +yarrow_forward
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