Chemistry: An Atoms-Focused Approach
14th Edition
ISBN: 9780393912340
Author: Thomas R. Gilbert, Rein V. Kirss, Natalie Foster
Publisher: W. W. Norton & Company
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11.Demonstrate the fraction of these sites in an FCC lattice that Fe2+ ions would need to occupy in order to maintain charge neutrality with the O2– ions sitting in FCC lattice positions of a unit cell.
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Show that the radius of the largest sphere that can be placed in a tetrahedral interstitial site in an fcc lattice is 0.225r1, where r1 is the radius of the atoms making up the lattice. (Hint: Consider a cube with the centers of fourspheres placed at alternate corners, and visualize the tetrahedral site at the center of the cube. What is the relationship between r1 and the length of a diagonal of a face? The length of a body diagonal?)
part 2
The structure of the unit cell when CaF2 crystallizes is shown below:
What is the arrangement of the Ca2+ ions (white spheres)?
FCC
SC
HCP
BCC
Chapter 18 Solutions
Chemistry: An Atoms-Focused Approach
Ch. 18 - Prob. 18.1VPCh. 18 - Prob. 18.2VPCh. 18 - Prob. 18.3VPCh. 18 - Prob. 18.4VPCh. 18 - Prob. 18.5VPCh. 18 - Prob. 18.6VPCh. 18 - Prob. 18.7VPCh. 18 - Prob. 18.8VPCh. 18 - Prob. 18.9VPCh. 18 - Prob. 18.10VP
Ch. 18 - Prob. 18.11VPCh. 18 - Prob. 18.12VPCh. 18 - Prob. 18.13VPCh. 18 - Prob. 18.14VPCh. 18 - Prob. 18.15VPCh. 18 - Prob. 18.16VPCh. 18 - Prob. 18.17VPCh. 18 - Prob. 18.18VPCh. 18 - Prob. 18.19QACh. 18 - Prob. 18.20QACh. 18 - Prob. 18.21QACh. 18 - Prob. 18.22QACh. 18 - Prob. 18.23QACh. 18 - Prob. 18.24QACh. 18 - Prob. 18.25QACh. 18 - Prob. 18.26QACh. 18 - Prob. 18.27QACh. 18 - Prob. 18.28QACh. 18 - Prob. 18.29QACh. 18 - Prob. 18.30QACh. 18 - Prob. 18.31QACh. 18 - Prob. 18.32QACh. 18 - Prob. 18.33QACh. 18 - Prob. 18.34QACh. 18 - Prob. 18.35QACh. 18 - Prob. 18.36QACh. 18 - Prob. 18.37QACh. 18 - Prob. 18.38QACh. 18 - Prob. 18.39QACh. 18 - Prob. 18.40QACh. 18 - Prob. 18.41QACh. 18 - Prob. 18.42QACh. 18 - Prob. 18.43QACh. 18 - Prob. 18.44QACh. 18 - Prob. 18.45QACh. 18 - Prob. 18.46QACh. 18 - Prob. 18.47QACh. 18 - Prob. 18.48QACh. 18 - Prob. 18.49QACh. 18 - Prob. 18.50QACh. 18 - Prob. 18.51QACh. 18 - Prob. 18.52QACh. 18 - Prob. 18.53QACh. 18 - Prob. 18.54QACh. 18 - Prob. 18.55QACh. 18 - Prob. 18.56QACh. 18 - Prob. 18.57QACh. 18 - Prob. 18.58QACh. 18 - Prob. 18.59QACh. 18 - Prob. 18.60QACh. 18 - Prob. 18.61QACh. 18 - Prob. 18.62QACh. 18 - Prob. 18.63QACh. 18 - Prob. 18.64QACh. 18 - Prob. 18.65QACh. 18 - Prob. 18.66QACh. 18 - Prob. 18.67QACh. 18 - Prob. 18.68QACh. 18 - Prob. 18.69QACh. 18 - Prob. 18.70QACh. 18 - Prob. 18.71QACh. 18 - Prob. 18.72QACh. 18 - Prob. 18.73QACh. 18 - Prob. 18.74QACh. 18 - Prob. 18.75QACh. 18 - Prob. 18.76QACh. 18 - Prob. 18.77QACh. 18 - Prob. 18.78QACh. 18 - Prob. 18.79QACh. 18 - Prob. 18.80QACh. 18 - Prob. 18.81QACh. 18 - Prob. 18.82QACh. 18 - Prob. 18.83QACh. 18 - Prob. 18.84QACh. 18 - Prob. 18.85QACh. 18 - Prob. 18.86QACh. 18 - Prob. 18.87QACh. 18 - Prob. 18.88QACh. 18 - Prob. 18.89QACh. 18 - Prob. 18.90QACh. 18 - Prob. 18.91QACh. 18 - Prob. 18.92QACh. 18 - Prob. 18.93QACh. 18 - Prob. 18.94QACh. 18 - Prob. 18.95QACh. 18 - Prob. 18.96QACh. 18 - Prob. 18.97QACh. 18 - Prob. 18.98QACh. 18 - Prob. 18.99QACh. 18 - Prob. 18.100QACh. 18 - Prob. 18.101QACh. 18 - Prob. 18.102QACh. 18 - Prob. 18.103QACh. 18 - Prob. 18.104QACh. 18 - Prob. 18.105QACh. 18 - Prob. 18.106QACh. 18 - Prob. 18.107QACh. 18 - Prob. 18.108QACh. 18 - Prob. 18.109QACh. 18 - Prob. 18.110QACh. 18 - Prob. 18.111QACh. 18 - Prob. 18.112QACh. 18 - Prob. 18.113QACh. 18 - Prob. 18.114QACh. 18 - Prob. 18.115QACh. 18 - Prob. 18.116QACh. 18 - Prob. 18.117QACh. 18 - Prob. 18.118QACh. 18 - Prob. 18.119QACh. 18 - Prob. 18.120QACh. 18 - Prob. 18.121QACh. 18 - Prob. 18.122QACh. 18 - Prob. 18.123QACh. 18 - Prob. 18.124QACh. 18 - Prob. 18.125QACh. 18 - Prob. 18.126QACh. 18 - Prob. 18.127QACh. 18 - Prob. 18.128QACh. 18 - Prob. 18.129QACh. 18 - Prob. 18.130QACh. 18 - Prob. 18.131QACh. 18 - Prob. 18.132QACh. 18 - Prob. 18.133QA
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- Which packing scheme describes the structure of zinc(II) sulfide? closest-packed sulfide ions with zinc(II) ions occupying all of the tetrahedral interstices closest-packed sulfide ions with zinc(II) ions occupying 1/2 of the tetrahedral interstices closest-packed sulfide ions with zinc(II) ions occupying 1/4 of the tetrahedral interstices closest-packed zinc(II) ions with sulfide ions occupying all of the tetrahedral interstices closest-packed zinc(II) ions with sulfide ions occupying 1/2 of the tetrahedral interstices closest-packed zinc(II) ions with sulfide ions occupying 1/4 of the tetrahedral intersticesarrow_forwardAn AX ceramic compound has an HCP crystal structure. If the radii of the A and X ions are 0.114 and 0.255 nm, respectively, and the respective atomic weights are 44.58 and 95.24 g/mol, what is the density (in g/cm3) of this material?arrow_forwardWhich of the following statements correctly describes the NaCl structure type? a. NaCl structure is composed of hexagonal close-packing of Cl- anions with Na+ cations occupying every tetrahedral hole, this arrangement of cations and anions results in a 6:6 cation:anion coordination b. NaCl structure is composed of cubic close-packing of Cl- anions with Na+ cations occupying every octahedral hole, this arrangement of cations and anions results in a 6:6 cation:anion coordination c. NaCl structures is composed of cubic close-packing of Cl- anions with Na+ cations occupying every second tetrahedral hole, this arrangement of cations and anions results in a 4:4 cation:anion coordination d. No answer text provided.arrow_forward
- The structure of the unit cell when CaF, crystallizes is shown below: What is the arrangement of the Ca2+ ions (white spheres)? A SC B HCP (с) всс D FCCarrow_forwardTwo possible cubic crystal structures are shown in figure 3. Part (a) shows the fcc structure, in which atoms are touching along a face-diagonal. Part (b) shows the bcc structure,in which atoms are touching along a body diagonal of the cube.Calculate the packing fractions of each of these structures. Which one of them is closepacked?arrow_forwardCalculate the empirical formula and density of nitinol, the memory alloy composed of nickel and titanium with the unit cell shown in Figure P12.9. The atomic radii of Ni and Ti are 124 and 147 pm, respectively. lod oi shizo = Ti = Niarrow_forward
- 5. In a close-packed array containing N spheres, there are N octahedral holes and 2N tetrahedral holes. Use this information to answer the following: a) The structure of solid Al203 consists of an hcp array of oxide ions with the Al3+ ions in octahedral holes. What fraction of the octahedral holes contains Al3+ ions? b) The mineral spinel has the formula MgAl2O4. The structure is based on a ccp array of oxide ions with the Mg²+ ions in tetrahedral holes and the Al3+ ions in octahedral holes. What fraction of each type of hole is occupied by the respective ion?arrow_forwardFor a ceramic compound, what are the two characteristics of the component ions that determine the crystal structure?arrow_forward1. Tantalum is rare, hard, blue-gray, lustrous transition metal that is highly corrosion-resistant. It has a density of 16.4 kg/L and a molecular weight of 180.948 g/mol. What is the (A) atomic radius in cm, (B) volume in cm^3 of Ta if it adopts the body centered cubic unit structure and (C) volume of unit cellarrow_forward
- Metal borides MBx exist for many transition metals. a) What is the minimum radius for the host metal for a B atom (radius 88pm) to fit in an octahedron hole of an fcc unit cell? b) What is the value of x if an average of one octahedral hole is occupied per unit cell?arrow_forwardWhich of the following structures is based on the cubic close-packing of cations? O TiO2 Na,s CAF2 O CsClarrow_forward3. a) Calculate the atomic packing factor for the face-centered cubic (FCC) crystal structure.arrow_forward
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