Chapter 12: Problem 1
For a ceramic compound, what are the two characteristics of the component ions that determine the crystal structure?
Chapter 12: Problem 1
For a ceramic compound, what are the two characteristics of the component ions that determine the crystal structure?
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Get started for freeCite one reason why ceramic materials are, in general, harder yet more brittle than metals.
A hypothetical AX type of ceramic material is known to have a density of \(2.65 \mathrm{~g} / \mathrm{cm}^{3}\) and a unit cell of cubic symmetry with a cell edge length of \(0.43 \mathrm{~nm}\). The atomic weights of the A and \(X\) elements are \(86.6\) and \(40.3 \mathrm{~g} / \mathrm{mol}\), respectively. On the basis of this information, which of the following crystal structures is (are) possible for this material: rock salt, cesium chloride, or zinc blende? Justify your choice(s).
Iron sulfide (FeS) may form a crystal structure that consists of an HCP arrangement of \(\mathrm{S}^{2-}\) ions. (a) Which type of interstitial site will the \(\mathrm{Fe}^{2+}\) ions occupy? (b) What fraction of these available interstitial sites will be occupied by \(\mathrm{Fe}^{2+}\) ions?
Would you expect Frenkel defects for anions to exist in ionic ceramics in relatively large concentrations? Why or why not?
If cupric oxide \((\mathrm{CuO})\) is exposed to reducing atmospheres at elevated temperatures, some of the \(\mathrm{Cu}^{2+}\) ions will become \(\mathrm{Cu}^{+}\). (a) Under these conditions, name one crystalline defect that you would expect to form in order to maintain charge neutrality. (b) How many \(\mathrm{Cu}^{+}\)ions are required for the creation of each defect? (c) How would you express the chemical formula for this nonstoichiometric material?
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