Chapter 6: Problem 7
How do alloys differ from the pure metals from which they are made?
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Chapter 6: Problem 7
How do alloys differ from the pure metals from which they are made?
These are the key concepts you need to understand to accurately answer the question.
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Estimate the value of \(n\) for the uppermost filled level in a one-dimensional line of silver atoms of length \(1.0 \mathrm{~mm}\). Hint: Take the radius of an Ag atom as \(144 \mathrm{pm}\).
An electron trapped within a nanoparticle can be approximated as a particle of mass \(m_{e}\) confined to a cubic box of side \(L\). The energy levels of the electron are $$ E=\frac{h^{2}}{8 m_{e} L^{2}}\left(n_{x}^{2}+n_{y}^{2}+n_{z}^{2}\right) $$ (a) Write expressions for the energies of the three lowest levels. Which of these levels are degenerate? For those levels that are degenerate, give the quantum numbers corresponding to each degenerate level.
What is the oxidation number of (a) phosphorus in \(\mathrm{Li}_{7} \mathrm{P}_{3} \mathrm{~S}_{11}\), which forms in some ceramic electrolytes; (b) titanium in \(\mathrm{BaTiO}_{3}\) ?
Describe the differences between diamagnetism, paramagnetism, ferromagnetism, and antiferromagnetism.
Silicon can be doped with small amounts of phosphorus to create a semiconductor used in transistors. (a) Is the alloy interstitial or substitutional? Justify your answer. (b) How do you expect the properties of the doped material to differ from those of pure silicon?
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