Physical Chemistry
2nd Edition
ISBN: 9781133958437
Author: Ball, David W. (david Warren), BAER, Tomas
Publisher: Wadsworth Cengage Learning,
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Textbook Question
Chapter 21, Problem 21.36E
The first two signals from a powdered sample has X rays
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Calculate the separations of the planes {123} and {236} in an orthorhombic crystal in which the unit cell has sides of lengths 784, 633, and 454 pm.
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1. What is the edge length of a simple cubic unit cell made up of atoms having a radius of 158 pm?2. State the number of atoms on a plane having the miller indices of 110 in a BCC unit cell.
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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- How many different unit cells can a crystal have if the unit cell a has all 90 angles between its crystal axes; b has all of its unit cell dimensions the same length; c has at least one 90 angle between axes; d has no perpendicular axes or equivalent unit cell dimensions?arrow_forwardThe density of tantalum at 20oC is 16.69 g/cm3 and its unit cell is cubic. Given that the first five observed Bragg diffraction angles are θ =19.31o, 27.88o, 34.95o, 41.41o and 47.69o, find the type of unit cell and its length. Take the wavelength of the x-ray radiation to be λ =154.433 pm.arrow_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
- 1) For a crystalline substance with a hexagonal unit cell, the distance interplanar d is given by the expression. Consider graphite, for which a = 0.247 nm and c = 0.679 nm. On a standardized diffractogram with Cu Kα radiation ((λ = 1.5418 Å)), where angle 2θ will be observed the Bragg 002 peak of graphite?arrow_forwardCalculate the structure factors for a body-centred cubic (cubic I) structure in which the scattering factor of the central ion is twice that of the ions at the corners of the cube.arrow_forwardThe surface energy of a single crystal depends on crystallographic orientation. Does this surface energy increase or decrease with an increase in planar density? Why?arrow_forward
- 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_forwardThe orthorhombic unit cell of NiSO4 has the dimensions a= 634 pm, b = 784 pm, and c = 516 pm, and the density of the solid is estimated as 3.9 g cm-3. Determine the number of formula units per unit cell and calculate a moreprecise value of the density.arrow_forwardCopper crystallizes in an fcc structure with unit cells of side 361 pm. (a) Predict the appearance of the powder diffraction pattern using 154 pm radiation, (b) Calculate the mass density of copper on the basis of this information.arrow_forward
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