Figure below shows the first four peaks of the x-ray diffraction pattern for copper, which has a face centered cubic crystal structure; monochromatic x-radiation having a wavelength of 0.1542 nm was used. Reflection indices are presented in the table below. The whole number of wavelengths equals one. (a) Index (i.e., give h, k, and / indices) for each of these peaks. (b) Determine the interplanar spacing for each of the peaks. (c) For each peak, determine the atomic radius for Cu. 40.0 50.0 60.0 70.0 80.0 90.0 Diffraction angle 20 Reflection Indices for First Six Planes Reflections Present (h + k + 1) even Crystal Structure ВСС 110, 200, 211, 220, 310, 222 h, k, and I either all odd or all even FCC 111, 200, 220, 311, 222, 400 Simple cubic All 100, 110, 111, 200, 210, 211 Intensity (relative)

Physical Chemistry
2nd Edition
ISBN:9781133958437
Author:Ball, David W. (david Warren), BAER, Tomas
Publisher:Ball, David W. (david Warren), BAER, Tomas
Chapter21: The Solid State: Crystals
Section: Chapter Questions
Problem 21.40E
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Figure below shows the first four peaks of the x-ray diffraction pattern for copper,
which has a face centered cubic crystal structure; monochromatic x-radiation having
a wavelength of 0.1542 nm was used. Reflection indices are presented in the table
below. The whole number of wavelengths equals one.
(a) Index (i.e., give h, k, and I indices) for each of these peaks.
(b) Determine the interplanar spacing for each of the peaks.
(c) For each peak, determine the atomic radius for Cu.
40.0
50.0
60.0
70.0
80.0
90.0
Diffraction angle 20
Reflection Indices
for First Six Planes
Reflections Present
(h + k + ) even
Crystal Structure
110, 200, 211,
220, 310, 222
ВСС
h, k, and I either
all odd or all even
111, 200, 220,
311, 222, 400
FCC
100, 110, 111,
200, 210, 211
Simple cubic
All
Intensity (relative)
Transcribed Image Text:Figure below shows the first four peaks of the x-ray diffraction pattern for copper, which has a face centered cubic crystal structure; monochromatic x-radiation having a wavelength of 0.1542 nm was used. Reflection indices are presented in the table below. The whole number of wavelengths equals one. (a) Index (i.e., give h, k, and I indices) for each of these peaks. (b) Determine the interplanar spacing for each of the peaks. (c) For each peak, determine the atomic radius for Cu. 40.0 50.0 60.0 70.0 80.0 90.0 Diffraction angle 20 Reflection Indices for First Six Planes Reflections Present (h + k + ) even Crystal Structure 110, 200, 211, 220, 310, 222 ВСС h, k, and I either all odd or all even 111, 200, 220, 311, 222, 400 FCC 100, 110, 111, 200, 210, 211 Simple cubic All Intensity (relative)
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