Foundations of Materials Science and Engineering
6th Edition
ISBN: 9781259696558
Author: SMITH
Publisher: MCG
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Textbook Question
Chapter 3.15, Problem 48AAP
Rodium is FCC and has a lattice constant a of 0.38044 nm. Calculate the following interplanar spacings:
(a) d111
(b) d200
(c) d220
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Consider an fcc lattice with cube side length 1.2 Å. What are the planar densities of the (110) and (100) planes respectively (in units of 1020
atoms/m?):
(This question has only one correct answer)
O a. (100) = 2.08, (110) = 0.98
O b. (100) = 1.39, (110) = 0.98
O c. (100) = 1.39, (110) = 1.20
O d. (100) = 0.98, (110) = 1.39
Determine the Miller indices for the planes shown in the following unit cell:
+z
+y
Question-2. BCC Tantalum has an atomic radius of 0.1430 nm. Answer the following questions:
(a) Calculate the lattice parameter a, b, c of the BCC structure.
(b) Determine the interplanar spacings of (110), (200), (211), and (220) planes
(c) Determine the expected angles for the first-order reflection of (110), (200), (211), and (220)
planes when monochromatic x-ray radiation of a wavelength 0.1542 nm is used.
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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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- The metal radium has an FCC structure. If the angle of diffraction for the (220) set of planes occurs at 69.22• (first-order reflection) when monochromatic x-radiation having a wavelength of 0.1542nm is used, compute the inter-planar spacing for the set of planes and atomic radius for an iridium atom.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_forwardThe bond length in FCC lattice is a/V2 V3a/2 0.5a aarrow_forward
- Set the miler indices for the direction and planes in this unit cell.arrow_forward4. For 0-20 x-ray diffraction (2=1.5A) from a fcc sample, if the (111) diffraction peak appears at 20-37.1º, what is the lattice constant of this sample? 5. For 0-20 x-ray diffraction (λ=1.5A) from simple cubic polycrystals (a=3.5Å), how many diffraction peaks are in the 0°<20<90° range? Give the index of the lattice for each diffraction peak.arrow_forwardDetermine the packing factor for the FCC cell. In a FCC cell, there are four latticepoints per cell; if there is one atom per lattice point, there are also four atoms percell. The volume of one atom is 4πr3/3 and the volume of the unit cell is a.where,.Describe significance of packing factor.arrow_forward
- (b) Determined the miller indices for the directions and planes in the following unit cell: Tentukan index miller bagi arah dan satah di dalam unit cell berikut: 1/2 12 114arrow_forwardDetermine the Miller indices for the planes shown in the following unit cell. *see attached picarrow_forwardDetermine the Miller indices for planes A and B shown below. +2 -IN B Im +yarrow_forward
- briefly explain how with the help of x-ray diffraction techniques, the lattice dimensions are determinedarrow_forwardDetermine the expected diffraction angle for the first order reflection from the 113 set of planes for FCC platinum when monochromatic radiation of wavelenght 0.1542 nm is usedarrow_forwardDetermine Miller indices for the following directions given in the cubic unit cell. X A B HIN Uarrow_forward
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