Chapter 10: 5CQ (page 413)
It takes less energy to dissociate a diatomic fluorine molecule than a diatomic oxygen molecule (in fact, less than one-third as much). Why is it easier to dissociate fluorine?
Because it has less number of covalent bonds.
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As we see in Figures 10.23, in a one dimensional crystal of finite wells, top of the band states closely resemble infinite well states. In fact, the famous particle in a box energy formula gives a fair value for the energies of the band to which they belong. (a) If for nin that formula you use the number of anitnodes in the whole function, what would you use for the box length L? (b) If, instead, the n in the formula were taken to refer to band n, could you still use the formula? If so, what would you use for L? (c) Explain why the energies in a band do or do not depend on the size of the crystal as a whole.
Question: - (a) Compare equation (10-11) evaluated at room temperature for a silicon band gap of 1.1 eV and for a typical donor-state/conduction band gap of 0.05 eV.
(b) Assuming only one impurity atom for every 10ยณ silicon atoms, do your results suggest that majority carriers, bumped up from donor levels. should outnumber minority carriers created by thermal excitation across the whole 1.1 eV gap? (The calculation ignores the difference in density of states between donor levels and bands, which actually strengthens the argument.)
In Figure 10.24, the band n = 1 ends at , while in Figure 10.27 it ends at. Are these compatible? If so, how?
Question: The Fermi velocity VF is defined by , where is the fermi energy. The Fermi energy for silver is 5.5eV.(a) Calculate the Fermi velocity.(b) what would be the wavelength of an electron with this velocity. (c)How does this compare with the lattice spacing of 0.41 nm? Does the order of magnitude makes sence?
Question: The interatomic potential energy in a diatomic molecule (Figure 10.16) has many features: a minimum energy, an equilibrium separation a curvature and so on. (a) Upon what features do rotational energy levels depend? (b) Upon what features do the vibration levels depend?
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