Foundations of Materials Science and Engineering
6th Edition
ISBN: 9781259696558
Author: SMITH
Publisher: MCG
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Question
Chapter 3.15, Problem 94SEP
(a)
To determine
What is an unknown material analyzed using X-ray diffraction method to produce extremely broad diffraction patterns?
(b)
To determine
Write some tests that can be performed to help find the material or narrow the potential.
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Procedure
You will do this experiment in two parts. In the first part, you will be provided data and
asked to determine the crystal structure and lattice parameter that will allow you to
identify the material. In the second part, you will be shown a strip of film from a
diffraction camera. Using the film, you will determine the Bragg Angles, crystalline
structure, and lattice parameter.
Part 1 - During a lunar exploration an unknown metallic crystalline substance is
discovered whose external morphology indicates that it is a cubic material. A diffraction
pattern of this material, using radiation of wavelength 1.54Å, provides the following data:
Bragg
Diffraction
Sin e,
Sin'
Diffraction
Sine,
Sin*e,
Q?
peak #
angle.
19.1
#1
# 2
22.2
#3
32.2
# 4
38.8
#5
40.85
1. Construct a table similar to the one shown above.
2. Using the given diffraction data calculate sin 0 and sin? 0 for each diffraction peak.
sin 0,
sin
$in'
3. Find the ratio of
for each diffraction peak where sin² Oi, is the…
Consider two hypothetical metallic crystal structures A and B. A has an fcc and Ba bcc lattice structure. Both have the same unit cell volume. The
Atomic Packing Factor for A is 0.740 and that for B is 0.680. What is the ratio of the fcc to bcc atomic radii?
(This question has only one correct answer)
а.
1.21
b. 0.82
O c.
0.92
d. 0.44
е.
0.63
Consider two hypothetical metallic crystal structures A and B. A has an fcc and B a bcc lattice structure. Both have the same unit cell volume. The Atomic Packing Factor for A is 0.740 and that for B is 0.680. What is the ratio of the fcc to bcc atomic radii?
(This question has only one correct answer)
a.
0.82
b.
0.63
c.
0.92
d.
0.44
e.
1.21
Clear my choice
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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- 2 Miscellaneous I (a) A certain metal has a BCC crystal structure, a density of 5.96 g/cm³, and an atomic weight of 50.9 g/mol. Calculate the atomic radius. (b) Compute the interplanar spacing for the (111) set of planes for this metal. Are these planes close- packed? (c) Determine the expected diffraction angle for this (111) set of planes when monochromatic radiation of wavelength 0.154 nm is used. (d) What is the metal used in this problem?arrow_forwardWhat kind of material would you expect to show an x-ray diffraction profile like the one shown below? 130K 120K 110K 100K- 90K- 80K- 70K- 60K- 50K- 40K- 30K- 20K 10K Intensity (counts) 20⁰ O a. A material containing iron O b. A crystalline solid O c. O d. A single crystal solid A liquid A mixed amorphous and crystalline solid O e. O f. An amorphous solid A grain boundary is an example of a A vacancy is an example of a An interstitial is an example of a A dislocation is a perfect crystal 1-dimensional (line) defect 3-dimensional (volume) defect 0-dimensional (point) defect 2-dimensional (plane) defect Angle (degrees 20arrow_forwardb) The spacing between successive (100) planes in NaCl is 2.82 Å. X-ray incident upon the surface of this crystal and it is found that it gives rise to the first order Bragg reflection at a grazing angle of 8°35¢. (i) Calculate the wavelength of X-ray (ii) Find the angle at which the 2nd order Bragg reflection would occur.arrow_forward
- What is Bragg's law? How is it used in X-ray diffraction?arrow_forwardFor which set of crystallographic planes will a first-order diffraction peak occur at a diffrac- tion angle of 46.21° for BCC iron when mono- chromatic radiation having a wavelength of 0.0711 nm is used?arrow_forwardWhen the iron metal sample with a density of 7.87 g cm³ was placed in an X-ray diffractometer using incoming X-rays with a wavelength of 0.1541 nm, a diffraction from the (110) planes was obtained at an angle of 22.35 ° (i) Using the defined axes as shown below, sketch the (110) crystallographic plane in a 3- dimension primitive cubic lattice. y (ii) What type of cubic lattice does this metal sample have if the order of diffraction, n=1?arrow_forward
- Consider 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_forward10- Iron, Fe, can have two different crystal structure (BCC and FCC). In order to determine the crystal structure, X-ray diffraction was measured and the diffraction pattern of an iron piece is given here. Based on this, calculate the lattice parameter of this sample and determine its crystal structure, knowing that lattice parameter of FCC and BCC iron are 0.35 nm and 0.28 nm, respectively. Hints: Assume n in Bragg's law =1, and wavelength of 0.154 nm. Intensity (relative) |A|AW|WN|Lista batnashchen women in 30.0 50.0 60.0 Diffraction angle 20 20.0 40.0 70.0 80.0arrow_forwardConsider two hypothetical metallic crystal structures A and b has an fcc and B a bcc lattice structure. Both have the same unit cell volume. The atomic packing factor for a is 0.740 and that for b is 0.680. what is the ratio of the fcc to bcc atomic radii? Select one of the answers below. a. 0.63 b. 0.82 c. 1.21 d. 0.92 e. 0.44arrow_forward
- What do you mean by characteristic x rays?arrow_forwardQ : (i) Prove that the atomic packing factor (APF) for the BCC crystal structure is 0.68. (ii) Prove that the volume of an FCC unit cell, VC is; VC = 16R3/2arrow_forwarda) Draw the [11 0], [-1 1 0], [ 0-1-1] directions for FCC and prove they are crystallographically equivalent. The family of directions is shown with these brackets. So we can say these directions are part of the family of directions. b) Draw the (1 o 0), (-1 0 0), (0 -1 0), and (00-1) planes for FCC and prove they are crystallographically equivalent. The family of directions is shown with {} these brackets. So we can say these planes are part of the {10 0} family of planes. h me Note that I cannot put a bar as the minus sign.arrow_forward
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