Principles of Modern Chemistry
8th Edition
ISBN: 9781305079113
Author: David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Publisher: Cengage Learning
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Chapter 21, Problem 16P
One form of crystalline iron has a bcc lattice with aniron atom at every lattice point. Its density at 25°C is
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- If an ionic solid has an fcc lattice of anions (X) and all of the tetrahedral holes are occupied by metal cations (M), is the formula of the compound MX, MX2, or M2X?arrow_forwardThe unit cell of silicon carbide, SiC, is illustrated below. (a) In what type of unit cell are the (dark gray) C atoms arranged? (b) If one edge of the silicon carbide unit cell is 436.0 pm, what is the calculated density of this compound? A portion of the solid-state structure of silicon carbide.arrow_forwardA cubic unit cell contains manganese ions at the corners and fluoride ions at the center of each edge. (a) What is the empirical formula of this compound? Explain your answer. (b) What is the coordination number of the Mn3+ ion? (c) Calculate the edge length of the unit cell if the radius of a Mn3+ ion is 0.65 A. (d) Calculate the density of the compound.arrow_forward
- 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, iO3 FIGURE 7.11 Relative sizes of some common ions. Rodii are given in picometers (1 pm 1 1012 m). (Data taken from J. Emsley, The Elements, Clarendon Press, Oxford, 1998, 3rd edition.)arrow_forwardLithium hydride (LiH) has the sodium chloride structure, and the length of the edge of the unit cell is 4.086 108 cm. Calculate the density of this solid.arrow_forwardPalladium has a cubic crystal structure in which the edge of the unit cell is 389 pm long. If the density of palladium is 12.02 g/cm3, how many palladium atoms are in a unit cell? In which of the cubic unit cells does palladium crystallize?arrow_forward
- Rutile, TiO2, crystallizes in a structure characteristic of many other ionic compounds How many formula units of TiO2 are in the unit cell illustrated here? (The oxide ions marked by an x are wholly within the cell; the others are in the cell faces.) Unit cell for rufflearrow_forwardThe density of polonium metal is 9.2 g/cm3. If the extended lattice of polonium exhibits a simple cubic unit cell, estimate the atomic radius of polonium.arrow_forwardCrystalline polonium has a primitive cubic unit cell, lithium has a body-centered cubic unit cell, and calcium has a face-centered cubic unit cell. How many Po atoms belong to one unit cell? How many Li atoms belong to one unit cell? How many Ca atoms belong to one unit cell? Draw each unit cell. Indicate on your drawing what fraction of each atom lies within the unit cell.arrow_forward
- Consider the three types of cubic units cells. (a) Assuming that the spherical atoms or ions in a primitive cubic unit cell just touch along the cubes edges, calculate the percentage of occupied space within the unit cell. (Recall that the volume of a sphere is (4/3)r3, where r is the radius of the sphere.) (b) Compare the percentage of occupied space in the primitive cell (pc) with the bcc and fcc unit cells. Based on this, will a metal in these three forms have the same or different densities? If different, in which is it most dense? In which is it least dense?arrow_forwardWhy is the C 60form of carbon called buckminsterfullerene?arrow_forwardNanotechnology, or technology utilizing 1100 nm sized particles, has rapidly expanded in the past few decades, with potential applications ranging across far-reaching fields such as electronics, medicine, biomaterials, and consumer products, to name a few. One of the primary advantages of nanoparticles is the presence of large surface/mass ratios, resulting in enhanced surface activities compared to bulk materials. a Use the density of silver (10.49 g/cm3) to determine the number of Ag atoms in a spherical 20.-nm silver particle. b In the crystalline metallic environment, the measured radii of silver atoms has been measured to be 144 pm. Use this to calculate the atomic packing fraction of a 20.-nm silver particle. In other words, calculate the ratio of the volume taken up by Ag atoms to the volume of the entire nanoparticle. c Based on the result of part (b), silver conforms to which type of cubic crystal lattice? A simple cubic B body-centered cubic C face-centered cubic d A cubic Ag ingot having a mass of 5.0-g is processed to form a batch of 20.-nm Ag nanoparticles. Calculate the ratio of the surface area provided by the batch of nanoparticles to the surface area of the initial cube of Ag.arrow_forward
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