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Chapter 41: Q22P (page 1273)
At what temperature do 1.30% of the conduction electrons in lithium (a metal) have energies greater than the Fermi energy , which is 4.70 eV? (See Problem 21)
The temperature at which 1.30% of the conduction electrons in lithium have energies greater than the Fermi energy is 472.5 K .
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At what pressure, in atmospheres, would the number of molecules per unit volume in an ideal gas be equal to the number density of the conduction electrons in copper, with both gas and copper at temperature T =300K?
When a photon enters the depletion zone of a p-njunction, the photon can scatter from the valence electrons there, transferring part of its energy to each electron, which then jumps to the conduction band. Thus, the photon creates electron–hole pairs. For this reason, the junctions are often used as light detectors, especially in the x-ray and gamma-ray regions of the electromagnetic spectrum. Suppose a single 662keV gamma-ray photon transfers its energy to electrons in multiple scattering events inside a semiconductor with an energy gap of 1.1eV, until all the energy is transferred. Assuming that each electron jumps the gap from the top of the valence band to the bottom of the conduction band, find the number of electron – hole pairs created by the process.
A certain metal has conduction electrons per cubic meter. A sample of that metal has a volume of and a temperature of 200K. How many occupied states are in the energy range of that is centered on the energy? (Caution:Avoid round-off in the exponential.)
The compound gallium arsenide is a commonly used semiconductor, has an energy gap . Its crystal structure is like that of silicon, except that half the silicon atoms are replaced by gallium atoms and half by arsenic atoms. Draw a flattened-out sketch of the gallium arsenide lattice, following the pattern of Fig. 41-10a.What is the net charge of the (a) gallium and (b) arsenic ion core? (c) How many electrons per bond are there? (Hint:Consult the periodic table in Appendix G.)
Show that Eq. 41-9 can be written as where the constant Ahas the value .
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