PHYSICAL CHEMISTRY-STUDENT SOLN.MAN.
2nd Edition
ISBN: 9781285074788
Author: Ball
Publisher: CENGAGE L
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Chapter 21, Problem 21.36E
The first two signals from a powdered sample has X rays
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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 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.
1) 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)?
Chapter 21 Solutions
PHYSICAL CHEMISTRY-STUDENT SOLN.MAN.
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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- 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 values of θ for the (100), (010), and (111) reflections using radiation of wavelength 83.42 pm.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_forwardCalcium 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_forward
- 5. 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_forward3) 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_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
- A3arrow_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
- Please provide step-by-step anwser What is the probable lattice type of crystalline substances that give the following observed reflections? Body centered? Face centered? Etc.? (a) 100, 110, 111, 200, 210 (b) 001, 110, 200, 111, 201arrow_forwardPlease explain briefly.arrow_forwardIn a certain unit cell, planes cut through the crystal axes at (2a, 3b, c), (a, b, c), (6a, 3b, 3c), (2a, -3b, -3c). Identify the Miller indices of the planes.arrow_forward
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