Chapter 12: Problem 26
In terms of bonding, explain why silicate materials have relatively low densities.
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Chapter 12: Problem 26
In terms of bonding, explain why silicate materials have relatively low densities.
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Determine the angle between covalent bonds in an \(\mathrm{SiO}_{4}^{4-}\) tetrahedron.
A three-point bending test was performed on an aluminum oxide specimen having a circular cross section of radius \(3.5 \mathrm{~mm}\) (0.14 in.); the specimen fractured at a load of \(950 \mathrm{~N}\left(215 \mathrm{lb}_{\mathrm{i}}\right)\) when the distance between the support points was \(50 \mathrm{~mm}\) (2.0 in.). Another test is to be performed on a specimen of this same material, but one that has a square cross section of \(12 \mathrm{~mm}\) ( \(0.47\) in.) length on each edge. At what load would you expect this specimen to fracture if the support point separation is \(40 \mathrm{~mm}\) (1.6 in.)?
Calculate the fraction of lattice sites that are Schottky defects for sodium chloride at its melting temperature \(\left(801^{\circ} \mathrm{C}\right)\). Assume an energy for defect formation of \(2.3 \mathrm{eV}\).
On the basis of ionic charge and ionic radii given in Table \(12.3,\) predict crystal structures for the following materials: (a) \(\mathrm{CaO},\) (b) \(\mathrm{MnS}\) (c) \(\mathrm{KBr},\) and (d) \(\mathrm{CsBr}\). Justify your selections.
Magnesium silicate, \(\mathrm{Mg}_{2} \mathrm{SiO}_{4}\), forms in the olivine crystal structure that consists of an HCP arrangement of \(\mathrm{O}^{2-}\) ions. (a) Which type of interstitial site will the \(\mathrm{Mg}^{2+}\) ions occupy? Why? (b) Which type of interstitial site will the \(\mathrm{Si}^{4+}\) ions occupy? Why? (c) What fraction of the total tetrahedral sites will be occupied? (d) What fraction of the total octahedral sites will be occupied?
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