Chapter 10: Q15CQ (page 467)
Based only on the desire to limit minority carriers, why would silicon be preferable to germanium as a fabric for doped semiconductors?
Thus in order to limit minority carriers, we should choose silicon as a fabric for doped semiconductors.
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From the diagrams in Figure 7.15and the qualitative behavior of the wave functions they represent, argue that a combination of the(i.e.,) and the negative of the 2swould produce a function that sticks out preferentially in the positive Zdirection. This is known as a hybridspstate.
Question:In Chapter 4. we learned that the uncertainty principle is a powerful tool. Here we use it to estimate the size of a Cooper pair from its binding energy. Due to their phonon-borne attraction, each electron in a pair (if not the pair's center of mass) has changing momentum and kinetic energy. Simple differentiation will relate uncertainty in kinetic energy to uncertainty in momentum, and a rough numerical measure of the uncertainty in the kinetic energy is the Cooper-pair binding energy. Obtain a rough estimate of the physical extent of the electron's (unknown!) wave function. In addition to the binding energy, you will need to know the Fermi energy. (As noted in Section 10.9, each electron in the pair has an energy of about EF.) Use 10-3 eV and 9.4 eV, respectively, values appropriate for indium.
Show that for a room-temperature semiconductor with a band gap of , a temperature rise of 4K would raise the conductivity by about 30%.
Question: When electrons cross from the n-type to the p-type to equalize the Fermi energy on both sides in an unbiased diode they leave the n-type side with an excess of positive charge and give the p-type side an excess of negative. Charge layers oppose one another on either side of the depletion zone, producing. in essence, a capacitor which harbors the so-called built-in electric
field. The crossing of the electrons to equalize the Fermi energy produces the dogleg in the bands of roughly Egap , and the corresponding potential differerence
is Egap /e. The depletion zone in a typical diode is wide, and the band gap is 1.0 eV. How large is the built-in electric field?
Brass is a metal consisting principally of copper alloyed with a smaller amount of zinc, whose atoms do not alternate in a regular pattern in the crystal lattice but are somewhat randomly scattered about. The resistivity of brass is higher than that of either copper or zinc at room temperature, and it drops much slower as the temperature is lowered. What do these behaviors tell us about electrical conductivity in general?
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