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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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?)
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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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- A metal crystallizes in the face-centered cubic (FCC) lattice. The density of the metal is 10500 kg/m', and the length of a unit cell edge, a, is 408.6 pm. Calculate the mass of one metal atom. mass: Identify the metal. O nickel O rhodium O copper O silverarrow_forwardWhich 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_forwardSome 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)?arrow_forward
- A unit cell of Re03 consists of a cubic .1 arrangement of Re atoms with O atoms centred along each edge of the cube. The coordination number of each Re atom isarrow_forward11.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. 12.Describe how the bonding and atomic arrangement in diamond differs from that in other allotropes of carbon such as graphite, graphene, and fullerenes (Buckyballs). 13.The silicate anion (SiO44-) “orthosilicate” is the basic building block of all silicate materials. Draw the Lewis Dot Structure for the (SiO44-) ion. Based on your Lewis dot structure, what is the predicted geometry for the (SiO44-) ion? What kind of bonds occur between Si and O in the (SiO44-) ion?arrow_forward1)Pure gold has a density of 19.32 g/cm3, and the atoms are packed in a face-centered cubic crystal lattice. What is the radius of a gold atom in pm? 2)The cubic unit cell parameter (a) of polonium (α-Po) is 335 pm. Use the Goldschmidt correction (Table 1) to calculate a metallic radius for this element.arrow_forward
- 3. a) Calculate the atomic packing factor for the face-centered cubic (FCC) crystal structure.arrow_forwardGraphite has a layered structure, with each layer made up of six-membered rings of carbon fused with other similar rings on all sides. The Lewis structure shows alternating single and double bonds. Diamond is an insulator, and graphite is a moderately good conductor. Explain these facts in terms of the bonding in each. (Conductance of graphite is significantly lower than metals but is higher than most nonmetals.) What behavior would you predict for carbon nanotubes, the cylindrical form of fullerenes?arrow_forwardDistinguish between the rock salt structureand the caesium chloride structure for ionicsolidsarrow_forward
- What is the difference between tetrahedral and octahedral voids?arrow_forwardIron titanate, FeTiO3, forms in the ilmenite crystal structure that consists of an HCP arrangement of O2- ions. (a) Which type of interstitial site will the Fe2+ ions occupy? (b) Which type of interstitial site will the Ti4+ ions occupy? (c) What fraction of the total tetrahedral sites will be occupied? (In decimal form to two places to the right of the decimal) (d) What fraction of the total octahedral sites will be occupied? (In decimal form to two places to the right of the decimal)arrow_forward
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