Foundations of Materials Science and Engineering
6th Edition
ISBN: 9781259696558
Author: SMITH
Publisher: MCG
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Chapter 3.15, Problem 69AAP
To determine
The wavelength of the X-rays.
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4. 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.
The 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
nm
For which set of crystallographic planes will a first-order diffraction peak occur at a diffraction angle of 44.53° for FCC nickel (Ni) when
monochromatic radiation having a wavelength of 0.1542 nm is used? The atomic radius for Ni is 0.1246 nm.
(
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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- Q1: find miller indices for a crystallographic plane as showed in a below figure. This plane of simple cubic has a lattice constant of (5 A°). find diffraction angle when the incident X-rays have a wavelength of (1.54 Aº). *arrow_forwardbriefly explain how with the help of x-ray diffraction techniques, the lattice dimensions are determinedarrow_forwardThe 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_forward
- What is the expected diffraction angle (20) for the first-order retlection from the (220) set of planes for FCC iridium (atomic radius of iridium is 0.1357 nm) when monochromatic radiation of wavelength 0.1542 nm is used? Oa 69 Ob 81 Oc 27 Od 180 Oe 46arrow_forwardPolonium is an element with a simple cubic crystal arrangement. Find the radius of the polonium atoms in this structure with a density of 9.4 g / cm3 and a weight of 209 g / atom.arrow_forward6. Determine the linear density of the [110] direction for the shown crystal structure.arrow_forward
- Consider an fcc lattice with cube side length 2.7 Å. What are the planar densities of the (110) and (100) planes respectively (in units of 1020 atoms/m²): (This question has only one correct answer) a. (100) = 0.19, (110) = 0.27 b. (100) = 0.27, (110) = 0.19 c. (100) = 0.41, (110) = 0.19 d. (100) = 0.27, (110) = 0.24arrow_forwardDetermine the crystallographic plane shown in Figure 4. Figure 4: A crystallographic plane in a cubic unit cell A. (11 1) В. (101) C. (0 1 1) D. (1 1 0) Determine the direction indices of the cubic direction shown in Figure 5. Figure 5: A direction vector in a cubic unit cell A. [3 23) B. [3 13) c. [13 1] D. [3 2 3)arrow_forwardThe metal iridium has an FCC crystal 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 0.1542 nm is used, compute (a) the interplanar spacing for this set of planes, and (b) the atomic radius for an iridium atom.arrow_forward
- 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.arrow_forwardqjly21 For FCC iron, calculate the diffraction angle for the (220) set of planes. The lattice parameter for Fe is 0.3571 nm. Assume that monochromatic radiation having a wavelength of 0.1540 nm is used, and the order of reflection is 1.arrow_forwardConsider the Bragg equation in the x-ray diffraction. If the value of the wavelength is doubled, which of the following is NOT true?Required to answer. Single choice. Bragg angles of reflections increase The d spacings become smaller. The diffraction pattern expands. Some previously accessible reflections can no longer be measured. None of the abovearrow_forward
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