SCIENCE+ENGR.OF MTRLS.,SI ED.,ENHANCED
7th Edition
ISBN: 9780357447888
Author: ASKELAND
Publisher: CENGAGE L
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Question
Chapter 3, Problem 3.99P
(a)
To determine
Metal crystal structure.
(b)
To determine
Planes indices producing each of the peaks.
(c)
To determine
Metal Latter parameter.
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When 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?
a) 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.
briefly explain how with the help of x-ray diffraction techniques, the lattice dimensions are determined
Chapter 3 Solutions
SCIENCE+ENGR.OF MTRLS.,SI ED.,ENHANCED
Ch. 3 - Prob. 3.1PCh. 3 - Prob. 3.2PCh. 3 - Prob. 3.3PCh. 3 - What is a polycrystalline material?Ch. 3 - Prob. 3.5PCh. 3 - Prob. 3.6PCh. 3 - Prob. 3.7PCh. 3 - Prob. 3.8PCh. 3 - Prob. 3.9PCh. 3 - Prob. 3.10P
Ch. 3 - Prob. 3.11PCh. 3 - Prob. 3.12PCh. 3 - Prob. 3.13PCh. 3 - Prob. 3.14PCh. 3 - Prob. 3.15PCh. 3 - Prob. 3.16PCh. 3 - Prob. 3.17PCh. 3 - Prob. 3.18PCh. 3 - Prob. 3.19PCh. 3 - Prob. 3.20PCh. 3 - Prob. 3.21PCh. 3 - Prob. 3.22PCh. 3 - Prob. 3.23PCh. 3 - Prob. 3.24PCh. 3 - Prob. 3.25PCh. 3 - Aluminum foil used to package food isapproximately...Ch. 3 - Prob. 3.27PCh. 3 - Prob. 3.28PCh. 3 - Thoria or thonrium dioxide can be describedas an...Ch. 3 - Prob. 3.30PCh. 3 - Prob. 3.31PCh. 3 - Prob. 3.32PCh. 3 - Prob. 3.33PCh. 3 - Prob. 3.34PCh. 3 - Prob. 3.35PCh. 3 - Prob. 3.36PCh. 3 - Prob. 3.37PCh. 3 - Prob. 3.38PCh. 3 - Prob. 3.39PCh. 3 - Prob. 3.40PCh. 3 - Prob. 3.41PCh. 3 - Prob. 3.42PCh. 3 - Prob. 3.43PCh. 3 - Prob. 3.44PCh. 3 - Prob. 3.45PCh. 3 - Prob. 3.46PCh. 3 - Prob. 3.47PCh. 3 - Prob. 3.48PCh. 3 - Prob. 3.49PCh. 3 - Prob. 3.50PCh. 3 - Prob. 3.51PCh. 3 - Prob. 3.52PCh. 3 - Prob. 3.53PCh. 3 - Prob. 3.54PCh. 3 - Prob. 3.55PCh. 3 - Prob. 3.56PCh. 3 - Prob. 3.57PCh. 3 - Prob. 3.58PCh. 3 - Prob. 3.59PCh. 3 - Prob. 3.60PCh. 3 - Prob. 3.61PCh. 3 - Prob. 3.62PCh. 3 - Prob. 3.63PCh. 3 - Prob. 3.64PCh. 3 - Prob. 3.65PCh. 3 - Prob. 3.66PCh. 3 - Prob. 3.67PCh. 3 - Prob. 3.68PCh. 3 - Prob. 3.69PCh. 3 - Prob. 3.70PCh. 3 - Prob. 3.71PCh. 3 - Prob. 3.72PCh. 3 - Prob. 3.73PCh. 3 - Prob. 3.74PCh. 3 - Prob. 3.75PCh. 3 - Prob. 3.76PCh. 3 - Determine the planar density and packing fraction...Ch. 3 - Prob. 3.78PCh. 3 - Prob. 3.79PCh. 3 - Prob. 3.80PCh. 3 - Prob. 3.81PCh. 3 - Prob. 3.82PCh. 3 - Prob. 3.83PCh. 3 - Prob. 3.84PCh. 3 - Prob. 3.85PCh. 3 - Prob. 3.86PCh. 3 - Prob. 3.87PCh. 3 - Prob. 3.88PCh. 3 - Prob. 3.89PCh. 3 - Prob. 3.90PCh. 3 - Prob. 3.91PCh. 3 - MgO, which has the sodium chloride structure, has...Ch. 3 - Prob. 3.93PCh. 3 - Prob. 3.94PCh. 3 - Prob. 3.95PCh. 3 - Prob. 3.96PCh. 3 - Prob. 3.97PCh. 3 - Prob. 3.98PCh. 3 - Prob. 3.99PCh. 3 - Prob. 3.100PCh. 3 - Prob. 3.101DPCh. 3 - You want to design a material for making kitchen...Ch. 3 - Prob. 3.103CPCh. 3 - Prob. 3.104CPCh. 3 - Prob. 3.1KP
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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
- fast nd correctarrow_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_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_forward
- Consider a unit cell with lattice dimensions a, b, and c in the x-, y and z directions. Which of the following sets of Miller indices can represent a crystallographic plane with intercepts of b and (c/4) along the y- and z-axes respectively? (more than one answer is possible for this question. marks will only be awarded for the question if all the correct options are selected (i.e. 'all or nothing' marking scheme). a. b. C. d. (214) (421) (114) e. (412)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_forwardFor 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. (arrow_forward
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