Chapter 12: Problem 93
If you want to make a polymer for plastic wrap, should you strive to make a polymer that has a high or low degree of crystallinity?
Chapter 12: Problem 93
If you want to make a polymer for plastic wrap, should you strive to make a polymer that has a high or low degree of crystallinity?
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Get started for freeEnergy bands are considered continuous due to the large number of closely spaced energy levels. The range of energy levels in a crystal of copper is approximately \(1 \times 10^{-19} \mathrm{~J}\). Assuming equal spacing between levels, the spacing between energy levels may be approximated by dividing the range of energies by the number of atoms in the crystal. (a) How many copper atoms are in a piece of copper metal in the shape of a cube with edge length \(0.5 \mathrm{~mm}\) ? The density of copper is $8.96 \mathrm{~g} / \mathrm{cm}^{3}$. (b) Determine the average spacing in J between energy levels in the copper metal in part (a). (c) Is this spacing larger, substantially smaller, or about the same as the \(1 \times 10^{-18}\) J separation between energy levels in a hydrogen atom?
The densities of the elements Cr, Mn, Fe, and Cu are 7.15 , \(7.30,7.87,\) and \(8.96 \mathrm{~g} / \mathrm{cm}^{3}\), respectively. One of these elements crystallizes in a face-centered cubic structure; the other three crystallize in a body-centered cubic structure. Which one crystallizes in the face- centered cubic structure? Justify your answer.
Orange light-emitting diodes are made from GaAs and GaP solid solutions, \(\mathrm{GaP}_{x} \mathrm{As}_{1-x}\) (see Exercise 12.79). The original orange LEDs emitted light with a wavelength of \(590 \mathrm{nm}\). If we assume that the band gap varies linearly with composition between \(x=0\) and \(x=1\), estimate the composition (the value of \(x\) ) that is used in these LEDs.
Silicon is the fundamental component of integrated circuits. Si has the same structure as diamond. (a) Is Si a molecular, metallic, ionic, or covalent- network solid? (b) Silicon readily reacts to form silicon dioxide, \(\mathrm{SiO}_{2,}\) which is quite hard and is insoluble in water. Is \(\mathrm{SiO}_{2}\) most likely a molecular, metallic, ionic, or covalent- network solid?
The coordination number for the \(\mathrm{Al}^{3+}\) ion is typically between four and six. Use the anion coordination number to determine the \(\mathrm{Al}^{3+}\) coordination number in the following compounds: (a) \(\mathrm{AlF}_{3}\) where the fluoride ions are two coordinate, $(\mathbf{b}) \mathrm{Al}_{2} \mathrm{O}_{3}$ where the oxygen ions are six coordinate, \((\mathbf{c})\) AlN where the nitride ions are four coordinate.
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