Chemistry: The Central Science (14th Edition)
14th Edition
ISBN: 9780134414232
Author: Theodore E. Brown, H. Eugene LeMay, Bruce E. Bursten, Catherine Murphy, Patrick Woodward, Matthew E. Stoltzfus
Publisher: PEARSON
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Textbook Question
Chapter 12.3, Problem 12.1.1PE
Consider the two-dimensional square lattice of Figure 12.4. The “packing effiency” for a two-dimensional structure would be the area of the unit cell, times 100%. What is the packing efficiency for a square lattice for atoms of radius a/2 that are centered at the lattice points?
a. 3.14%
b. 15.7%
c. 31.8%
d. 74.0%
e. 74.0%
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Chapter 12 Solutions
Chemistry: The Central Science (14th Edition)
Ch. 12.3 - Consider the two-dimensional square lattice of...Ch. 12.3 - Prob. 12.1.2PECh. 12.5 - Given the ionic radii and molar masses of Sc3+...Ch. 12.5 - Prob. 12.2.2PECh. 12.7 - Prob. 12.3.1PECh. 12.7 - Prob. 12.3.2PECh. 12.7 - Prob. 12.4.1PECh. 12.7 - Prob. 12.4.2PECh. 12 - Prob. 1DECh. 12 - Prob. 1E
Ch. 12 - Prob. 2ECh. 12 - Prob. 3ECh. 12 - Prob. 4ECh. 12 - Prob. 5ECh. 12 - Prob. 6ECh. 12 - Prob. 7ECh. 12 - Prob. 8ECh. 12 - Prob. 9ECh. 12 - Prob. 10ECh. 12 - 12.11 Covalent bonding occurs in both molecular...Ch. 12 - Prob. 12ECh. 12 - 12.13 What kinds of attractive forces exist...Ch. 12 - Prob. 14ECh. 12 - Prob. 15ECh. 12 - Prob. 16ECh. 12 - Prob. 17ECh. 12 - Prob. 18ECh. 12 - Prob. 19ECh. 12 - Amorphous silica, SiO2, has a density of about...Ch. 12 - Two patterns of packing for two different circles...Ch. 12 - Prob. 22ECh. 12 - Prob. 23ECh. 12 - Prob. 24ECh. 12 - Which of the three-dimensional primitive lattices...Ch. 12 - Prob. 26ECh. 12 - 12.27 What is the minimum number of atoms that...Ch. 12 - 12.28 What is the minimum number of atoms that...Ch. 12 - Prob. 29ECh. 12 - Prob. 30ECh. 12 - Prob. 31ECh. 12 - Prob. 32ECh. 12 - Prob. 33ECh. 12 - Prob. 34ECh. 12 - Prob. 35ECh. 12 - Prob. 36ECh. 12 - Prob. 37ECh. 12 - Prob. 38ECh. 12 - Prob. 39ECh. 12 - Prob. 40ECh. 12 - Prob. 41ECh. 12 - Prob. 42ECh. 12 - Prob. 43ECh. 12 - Prob. 44ECh. 12 - Prob. 45ECh. 12 - Prob. 46ECh. 12 - Prob. 47ECh. 12 - Prob. 48ECh. 12 - Prob. 49ECh. 12 - Prob. 50ECh. 12 - Prob. 51ECh. 12 - Prob. 52ECh. 12 - 12.53 Which would you expect to be the more...Ch. 12 - 12.54 Which of the following statements does not...Ch. 12 - Prob. 55ECh. 12 - Prob. 56ECh. 12 - Prob. 57ECh. 12 - Prob. 58ECh. 12 - Prob. 59ECh. 12 - Prob. 60ECh. 12 - 12.61 A particular form of cinnabar (HgS) adopts...Ch. 12 - At room temperature and pressure RbI crystallizes...Ch. 12 - Prob. 63ECh. 12 - Prob. 64ECh. 12 - The coordination number for Mg2+ ion is usually...Ch. 12 - Prob. 66ECh. 12 - Prob. 67ECh. 12 - Prob. 68ECh. 12 - Prob. 69ECh. 12 - Prob. 70ECh. 12 - Prob. 71ECh. 12 - Prob. 72ECh. 12 - Prob. 73ECh. 12 - Prob. 74ECh. 12 - Prob. 75ECh. 12 - Prob. 76ECh. 12 - Prob. 77ECh. 12 - Prob. 78ECh. 12 - Prob. 79ECh. 12 - Prob. 80ECh. 12 - Prob. 81ECh. 12 - Prob. 82ECh. 12 - Prob. 83ECh. 12 - Prob. 84ECh. 12 - Prob. 85ECh. 12 - 12.86 Write a balanced chemical equation for the...Ch. 12 - Prob. 87ECh. 12 - Prob. 88ECh. 12 - Prob. 89ECh. 12 - Prob. 90ECh. 12 - Prob. 91ECh. 12 - Prob. 92ECh. 12 - Prob. 93ECh. 12 - Prob. 94ECh. 12 - Explain why “bands” may not be the most accurate...Ch. 12 - Prob. 96ECh. 12 - Prob. 97ECh. 12 - Prob. 98ECh. 12 - Prob. 99ECh. 12 - An ideal quantum dot for use in TVs does not...Ch. 12 - Prob. 101ECh. 12 - Prob. 102ECh. 12 - Prob. 103AECh. 12 - Prob. 104AECh. 12 - Prob. 105AECh. 12 - Pure iron crystallizes in a body-centered cubic...Ch. 12 - Prob. 107AECh. 12 - Prob. 108AECh. 12 - Prob. 109AECh. 12 - What type of latticeprimitive cubic, body-centered...Ch. 12 - Prob. 111AECh. 12 - Prob. 112AECh. 12 - Prob. 113AECh. 12 - Energy bands are considered continuous due to the...Ch. 12 - Prob. 115AECh. 12 - Prob. 116AECh. 12 - Prob. 117AECh. 12 - Prob. 118AECh. 12 - Prob. 119AECh. 12 - Prob. 120AECh. 12 - Prob. 121AECh. 12 - Prob. 122AECh. 12 - Prob. 123AECh. 12 - The karat scale used to describe gold alloys is...Ch. 12 - 12.125 Spinel is a mineral that contains 37.9% AI,...Ch. 12 - Prob. 126IECh. 12 - Prob. 127IECh. 12 - Prob. 128IECh. 12 - Prob. 129IECh. 12 - Silicon has the diamond structure with a unit cell...Ch. 12 - Prob. 131IECh. 12 - Prob. 132IE
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- Assume X has a body-centered cubic lattice with all atoms at the lattice points. The edge length of the unit cell is 379.0 pm. The atomic mass of X is 195.0 amu. Calculate the density of X.arrow_forwardAn amorphous solid can sometimes be converted to a crystalline solid by a process called annealing. Annealing consists of heating the substance to a temperature just below the melting point of the crystalline form and then cooling it slowly. Explain why this process helps produce a crystalline solid.arrow_forwardThallium(I) iodide crystallizes with the same structure a CsCl. The edge length of the Unit cell of TlI is 4.20. Calculate the ionic radius of TI+. (The ionic radius of I is 2.16 .)arrow_forward
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- (a) Determining an Atom Radius from Lattice Dimensions: Gold has a face-centered unit cell, and its density is 19.32 g/cm3. Calculate the radius of a gold atom. (b) The Structure of Solid Iron: Iron has a density of 7.8740 g/cm3, and the radius of an iron atom is 126 pm. Verify that solid iron has a body-centered cubic unit cell. (Be sure to note that the atoms in a body-centered cubic unit cell touch along the diagonal across the cell. They do not touch along the edges of the cell.) (Hint: The diagonal distance across the unit cell = edge 3.)arrow_forwardIridium metal, Ir, crystallizes in a face-centered cubic (close-packed) structure. The edge length of the unit cell was found by x-ray diffraction to be 383.9 pm. The density of iridium is 22.42 g/cm3. Calculate the mass of an iridium atom. Use Avogadros number to calculate the atomic mass of iridium.arrow_forwardNickel has a face-centered unit cell with all atoms at lattice points and an edge length of 352.4 pm. The density of metallic nickel is 8.91 g/cm3. What is the mass of a nickel atom? From the atomic mass, calculate Avogadros number.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_forwardA diamond unit cell is shown here. Unit cell of diamond (a) How many carbon atoms are in one unit cell? (b) The unit cell can be considered as a cubic unit cell of C atoms with other C atoms in holes in the lattice. What type of unit cell is this (pc, bcc, fcc)? In what holes are other C atoms located, octahedral or tetrahedral holes?arrow_forward
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