Foundations of Materials Science and Engineering
6th Edition
ISBN: 9781259696558
Author: SMITH
Publisher: MCG
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Question
Chapter 3.15, Problem 47AAP
To determine
The Miller indices of the cubic crystal plane.
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Determine the Miller indices of the cubic crystal plane that intersects the following position coordinates(points): (1, ½, 1), (½, 0, ¾), and (1, 0, ½). Sketch the plane, and show all steps and distances.
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and determine their miller indices.
Sketch the lattice planes in cubic crystal using Miller
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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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- Determine the possible crystal structure of Zinc Blende structure (ZnS), if the radii are as follows Zn+2 = 0.074 and S-2 = 0.184.arrow_forwardCite the indices of the direction that results from the intersection of the (001) and (121) planes within a cubic crystal.arrow_forwardCalculate the atomic densities of the directions [100], [111] and [110] in a face centered cubic structure.arrow_forward
- In an ideal hexagonal closed packed system, if the atomic radius of the atom was 0.112 nm, write down the three digit value of the lattice parameter c in nm unitarrow_forwardDetermine the repeat distance, linear density, and packing fraction for FCC nickel, which has a lattice parameter of 0.35167 nm, in the[100],[110] , and [111] directions. Which of these direction is close packed?arrow_forwardExamine your crystal models and find: (a) the number of different (non-parallel) close - packed planes and close - packed directions in the ccp (Cubic closed packing) and hcp (hexagonal tightly packed) structures; and (b) the number of closest - packed planes and close - packed directions in the bcc ( Body - centered cubic) structure.arrow_forward
- Prove that the atomic packing factor (APF) for the BCC crystal structure is 0.68.arrow_forwardFor BCC metal X, compute the interplanar spacing for the 212 set of planes. The lattice parameter for Fe is 0.2194 nm. Round your answer to 2 decimal places.arrow_forwardWith a hexagonal crystal structure where a0=0.22858nm, co=0.35842nm, an atomic radius of 0.1143nm, density of 1.848g/cm3, and an atomic weight of 9.01g/mol, what is a)number of atoms in each unit cell and b) the packing factor in each unit cell.arrow_forward
- Determine the Miller Indices of Direction C and D in an HCP crystal.arrow_forwardWhat are basic unit cells / Crystal structure systems in materials? Plot crystal planes hkl - 112, 200 and 103. Please solve step by steparrow_forwarda. For a FCC crystal, list all the planes in the {1 2 1} family. b. Would you expect a family in a face-centered orthorhombic (FCO) crystal to have more or fewer planes than the same family in a FCC crystal? Explain your answer.arrow_forward
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