Chemistry & Chemical Reactivity
10th Edition
ISBN: 9781337399074
Author: John C. Kotz, Paul M. Treichel, John Townsend, David Treichel
Publisher: Cengage Learning
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Chapter 12, Problem 62IL
CaTiO3, a perovskite, has the structure below.
- (a) If the density of the solid is 4.10 g/cm3, what is the length of a side of the unit cell?
- (b) Calculate the radius of the Ti4+ ion in the center of the unit cell. How well does your calculation agree with a literature value of 75 pm?
Unit cell of the perovskite CaTiO3
A sample of perovskite, СаТiO3
FIGURE 7.11 Relative sizes of some common ions. Rodii are given in picometers (1 pm 1 × 10‒12 m). (Data taken from J. Emsley, The Elements, Clarendon Press, Oxford, 1998, 3rd edition.)
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Some oxide superconductors adopt a crystal structure similar to that of perovskite (CaTiO3). The unit cell is cubic with a Ti4+ ion in each corner, a Ca2+ ion in the body center, and O2- ions at the midpoint of each edge. (a) Is this unit cell simple, body-centered, or face-centered? (b) If the unit cell edge length is 3.84 Å, what is the density of perovskite (in g/cm3)?
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Chapter 12 Solutions
Chemistry & Chemical Reactivity
Ch. 12.1 - (a) Determining an Atom Radius from Lattice...Ch. 12.2 - If an ionic solid has an fcc lattice of anions (X)...Ch. 12.2 - Potassium chloride has the same unit cell as NaCl....Ch. 12.6 - Prob. 1.1ACPCh. 12.6 - Describe the unit cell of lithium (see Figure).Ch. 12.6 - Prob. 1.3ACPCh. 12.6 - Prob. 1.4ACPCh. 12.6 - Prob. 2.1ACPCh. 12.6 - Prob. 2.2ACPCh. 12.6 - Prob. 2.3ACP
Ch. 12.6 - How many tin atoms are contained in the tetragonal...Ch. 12.6 - Prob. 3.2ACPCh. 12.6 - Prob. 3.3ACPCh. 12.6 - Prob. 3.4ACPCh. 12 - Outline a two-dimensional unit cell for the...Ch. 12 - Outline a two-dimensional unit cell for the...Ch. 12 - A portion of the crystalline lattice for potassium...Ch. 12 - The unit cell of silicon carbide, SiC, is...Ch. 12 - Prob. 5PSCh. 12 - Rutile, TiO2, crystallizes in a structure...Ch. 12 - Cuprite is a semiconductor. Oxide ions are at the...Ch. 12 - The mineral fluorite, which is composed of calcium...Ch. 12 - Calcium metal crystallizes in a face-centered...Ch. 12 - The density of copper metal is 8.95 g/cm3. If the...Ch. 12 - Potassium iodide has a face-centered cubic unit...Ch. 12 - A unit cell of cesium chloride is illustrated in...Ch. 12 - Predict the trend in lattice energy, from least...Ch. 12 - Prob. 14PSCh. 12 - To melt an ionic solid, energy must be supplied to...Ch. 12 - Which compound in each of the following pairs...Ch. 12 - Prob. 17PSCh. 12 - Prob. 18PSCh. 12 - Considering only the molecular orbitals formed by...Ch. 12 - Prob. 20PSCh. 12 - Prob. 21PSCh. 12 - Prob. 22PSCh. 12 - Prob. 23PSCh. 12 - Prob. 24PSCh. 12 - Prob. 25PSCh. 12 - Prob. 26PSCh. 12 - Prob. 27PSCh. 12 - Prob. 28PSCh. 12 - A diamond unit cell is shown here. Unit cell of...Ch. 12 - The structure of graphite is given in Figure...Ch. 12 - We have identified six types of solids (metallic,...Ch. 12 - Prob. 32PSCh. 12 - Classify each of the following materials as...Ch. 12 - Prob. 34PSCh. 12 - Benzene, C6H6, is an organic liquid that freezes...Ch. 12 - The specific heat capacity of silver is 0.235 J/g ...Ch. 12 - Prob. 37PSCh. 12 - Prob. 38PSCh. 12 - Prob. 39PSCh. 12 - If your air conditioner is more than several years...Ch. 12 - Sketch a phase diagram for O2 from the following...Ch. 12 - Tungsten crystallizes in the unit cell shown here....Ch. 12 - Silver crystallizes in a face-centered cubic unit...Ch. 12 - The unit cell shown here is for calcium carbide....Ch. 12 - The very dense metal iridium has a face-centered...Ch. 12 - Vanadium metal has a density of 6.11 g/cm3....Ch. 12 - Prob. 47GQCh. 12 - Prob. 48GQCh. 12 - Prob. 49GQCh. 12 - Consider the three types of cubic units cells. (a)...Ch. 12 - The solid-state structure of silicon is shown...Ch. 12 - The solid-state structure of silicon carbide is...Ch. 12 - Spinels are solids with the general formula AB2O4...Ch. 12 - Using the thermochemical data below and an...Ch. 12 - Prob. 55GQCh. 12 - Prob. 56GQCh. 12 - Prob. 57GQCh. 12 - Prob. 58GQCh. 12 - Prob. 59GQCh. 12 - Prob. 60GQCh. 12 - Like ZnS, lead(II) sulfide, PbS (commonly called...Ch. 12 - CaTiO3, a perovskite, has the structure below. (a)...Ch. 12 - Potassium bromide has the same lattice structure...Ch. 12 - Calculate the lattice energy of CaCl2 using a...Ch. 12 - Why is it not possible for a salt with the formula...Ch. 12 - Prob. 67SCQCh. 12 - Prob. 68SCQCh. 12 - Prob. 69SCQCh. 12 - Phase diagrams for materials that have allotropes...
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