Physical Chemistry
2nd Edition
ISBN: 9781133958437
Author: Ball, David W. (david Warren), BAER, Tomas
Publisher: Wadsworth Cengage Learning,
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Chapter 21, Problem 21.36E
The first two signals from a powdered sample has X rays
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A solid is thought to have an orthorhombic structure. Calculate the positions D and 2θ for the plane 111 expected in the diffraction pattern as a result of CuKa radiation(λ=1.54 Å), since the edges of the unit cell are a= 3.50 Å, B=4.0 Å, C=5.5 Å.
Potassium nitrate crystals have orthorhombic unit cells of dimensions a = 542 pm, b = 917 pm, and c = 645 pm. Calculate the values of θ for the (100), (010), and (111) reflections using radiation of wavelength 154 pm.
a) It is considered that a solid substance has an orthorhombic structure. Since the edges of the unit cell are a = 3.50Å, b = 4.0 Å, c = 5.5 Å, calculate the d and 2θ positions for the 111 plane expected in the diffraction pattern as a result of CuKα radiation (λ = 1.54 Å).
b) What is the Miller index of the plane intersecting the crystal axes (2a, 1b, -3c)?
Chapter 21 Solutions
Physical Chemistry
Ch. 21 - Prob. 21.1ECh. 21 - Boron nitride, BN, is a very hard material, harder...Ch. 21 - Prob. 21.3ECh. 21 - Prob. 21.4ECh. 21 - Figure 21.35 shows a unit cell of diamond....Ch. 21 - Prob. 21.6ECh. 21 - How many different unit cells can a crystal have...Ch. 21 - Prob. 21.8ECh. 21 - Prob. 21.9ECh. 21 - Prob. 21.10E
Ch. 21 - Prob. 21.11ECh. 21 - Prob. 21.12ECh. 21 - Prob. 21.13ECh. 21 - Prob. 21.14ECh. 21 - Prob. 21.15ECh. 21 - Prob. 21.16ECh. 21 - Prob. 21.17ECh. 21 - Prob. 21.18ECh. 21 - Prob. 21.19ECh. 21 - Prob. 21.20ECh. 21 - Prob. 21.21ECh. 21 - Prob. 21.22ECh. 21 - Prob. 21.23ECh. 21 - Prob. 21.24ECh. 21 - Prob. 21.25ECh. 21 - Prob. 21.26ECh. 21 - Prob. 21.27ECh. 21 - Prob. 21.28ECh. 21 - For a simple cubic lattice, what is the ratio of...Ch. 21 - Prob. 21.30ECh. 21 - Prob. 21.31ECh. 21 - Consider Figure 21.21. If the lower rightmost...Ch. 21 - Prob. 21.33ECh. 21 - The aluminum-nickel alloy AlNi has a simple cubic...Ch. 21 - Prob. 21.35ECh. 21 - The first two signals from a powdered sample has X...Ch. 21 - Prob. 21.37ECh. 21 - Prob. 21.38ECh. 21 - Prob. 21.39ECh. 21 - Prob. 21.40ECh. 21 - Prob. 21.41ECh. 21 - Prob. 21.42ECh. 21 - Prob. 21.43ECh. 21 - Prob. 21.44ECh. 21 - Prob. 21.45ECh. 21 - What is the coordination number in the cesium...Ch. 21 - Prob. 21.47ECh. 21 - Which solid phase that is, which allotrope of...Ch. 21 - Prob. 21.49ECh. 21 - Prob. 21.50ECh. 21 - Write Born-Haber cycles showing the relationship...Ch. 21 - Prob. 21.52ECh. 21 - Prob. 21.53ECh. 21 - Prob. 21.54ECh. 21 - The lattice energy for potassium iodide, KI, is...Ch. 21 - Prob. 21.56ECh. 21 - Prob. 21.57ECh. 21 - Prob. 21.58ECh. 21 - Prob. 21.59ECh. 21 - Prob. 21.60ECh. 21 - Prob. 21.61ECh. 21 - Prob. 21.62ECh. 21 - Prob. 21.63ECh. 21 - Prob. 21.64E
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- It is thought that a solid substance has an orthorhombic structure. Since the edges of the unit cell are a = 3.50Å, b = 4.0 Å, c = 5.5 Å, calculate the d and 2θ positions for the 111 plane expected in the diffraction pattern as a result of CuKα radiation (λ = 1.54 Å).b) What is the Miller index of the plane intersecting the crystal axes (2a, 1b, -3c)?arrow_forward1) a) A solid substance is considered to be orthorhombic in nature. Since the edges of the unit cell are a = 3.50Å, b = 4.0 Å, c = 5.5 Å, calculate the d and 2θ positions for the 111 plane expected in the diffraction pattern as a result of CuKα radiation (λ = 1.54 Å). b) What is the Miller index of the plane intersecting the crystal axes (2a, 1b, -3c)?arrow_forwardIt is considered that a solid substance has an orthorhombic structure. Since the edges of the unit cell are a = 3.50Å, b = 4.0 Å, c = 5.5 Å, calculate the d and 2θ positions for the 111 plane expected in the diffraction pattern as a result of CuKα radiation (λ = 1.54 Å). b)What is the Miller index of the plane intersecting the crystal axes (2a, 1b, -3c)? please answer barrow_forward
- Calcium carbonate crystals in the form of aragonite have orthorhombic unit cells of dimensions a=574.1 pm , b=796,8 pm, and c=495.9 pm. Calculate the glancing angles for the {100}, {010} and {111} reflections using radiation of wavelength 83.42 pm (from aluminium)arrow_forward5. For which set of crystallographic planes will a first-order diffraction peak occur at a diffraction angle of 46.21° for BCC iron when monochromatic radiation having a wavelength of 0.0711 nm is used?arrow_forwardMake a table for comparison between the interior angles of the seven (7) unit cells and explain.There are seven types of unit cells: (1) simple cubic, (2) tetragonal, (3) orthorhombic, (4) rhombohedral, (5) monoclinic, (6) triclinic, and (7) hexagonal.arrow_forward
- 3) Draw two different projections of a monoclinic unit cell with a = 3 Å, b = 4 Å, c = 5 Å, B = 119⁰. (Don't forget to indicate the basis vectors.) One atom is located at (0.2, 0.3, 0.4), another one at (0.2, 0.7, 0.4). Determine the interatomic distances < 2.5 Å.arrow_forwarda) Draw rock salt unit cell of NaCl and give the coordinates (u,v,w) describing the positions of all the atoms in such a unit cell. b) Calculate the structure factor |F_hkl|^ 2 for such a unit cell for x-ray scattering from a given set of crystallographic planes (hkl). c) Which reflection peaks have the lowest and highest intensities and whyarrow_forwardCalculate the five largest d - spacings for a tetragonal P - unit cell with a = b = 4 and c = 5 Å, and the seven largest ones for an orthorhombic P- unit cell with a = 4, b = 5, c = 6 Å.arrow_forward
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