New PDF release: Semiconductor Physics

By Karlheinz Seeger (auth.)

ISBN-10: 3211811869

ISBN-13: 9783211811863

ISBN-10: 3709141117

ISBN-13: 9783709141113

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Extra resources for Semiconductor Physics

Sample text

At what atomic distance will an exchange of electrons between neighboring atoms begin to become important? If the wave functions 1/1 of atom A and B overlap, linear combinations 1/1 A ± 1/I B characterize the behavior of the compound AB. 7 the energy as a function of the distance between the two atoms is plotted. The sum of the ",-functions yields the bound state while the difference represents the situation +,-+. where the atoms repel each other. A calculation is presented in monographs on quantum mechanics [1] and will not be attempted here.

With careful experimental methods [3] it was possible to show in the temperature range 20-50 K that for In in Ge the high-temperature g-factor is 4 rather than 2 which takes account of the fact that at the valence band edge both light and heavy hole subbands are degenerate with one another. 9) we have neglected the "minority carriers" which in this case are holes. ~(l962) 1668, and literature cited there. 4. Oxford: Pergamon. 1962. ± (1959) 560. 48 3. 19) has been used. 2)). 18). £lEO. At somewhat lower temperatures, however, there is considerable freeze-out of carriers and hence ND > NA » n » p, and the concentration of ionized donors is nearly equal to that of acceptors since most of the electrons have just gone from donors to acceptors.

S) where gA = 2. If there are both donors and acceptors present the total number of distinguishable distributions is given by 38 3. 7) dWjdnj = 0 which is subject to the accessory conditions that both the total number of electrons, n, and the total energy, U, remain constant. For the differentiation of n j ! 8) valid for nj~ 1. Obviously it is more convenient to differentiate In W than W. ll) 0= - d2:: dn. ) - a - {3e. g. Schrodinger: Statistical Thermodynamics. Press. 1948. 39 3a. 16) + ~gj . 17) is Boltzmann's constant.

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Semiconductor Physics by Karlheinz Seeger (auth.)


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