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Chapter 10: Q49E (page 469)
In Figure 10.24, the n=1 band ends at , while in Figure 10.27 it ends at
It is proved that two ends are compatible.
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Assuming an interatomic spacing of 0.15 nm, obtain a rough value for the width (in eV) of the band in a one-dimensional crystal.
Sketch an energy-versus-position diagram. Complementary to Figure 10.4, showing valence hole motion a conduction electron participation in an operating pnp transistor.
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:If electrical conductivity were determined by the mere static presence of positive ions rather than by their motion the collision time would be inversely proportional to the electron's average speed. If however, it were dominated by the motion of the ions, it should be inversely proportional to the 鈥渁rea" presented by a jiggling ion, which is in turn proportional to the square of its amplitude as an oscillator. Argue that only the latter view gives the correct temperature dependence in conductors of . Use the equipartition theorem (usually covered in introductory thermodynamics and also discussed in Section 9.9).
The vertices of a tetrahedron are four vertices of a cube symmetrically chosen so that no two are adjacent. Show that the angle between the vertices of a tetrahedron is .
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