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Chapter 10: 3CQ (page 413)
Section 10.2 discusses - bonds and - bonds for p - states and -bonds for s-states but not - bonds for - states. Why not?
Because p states can exist in 3 different orientations and s - states can only exist in one orientation.
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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?
A string wrapped around a hub of radius Rpulls with force on an object that rolls without slipping along horizontal rails on "wheels" of radius. Assume a massmand rotational inertia I.
(a) Prove that the ratio ofto the object's acceleration is negative. (Note: This object can't roll without slipping unless there is friction.) You can do this by actually calculating the acceleration from the translational and rotational second la was of motion, but it is possible to answer this part without such a "real" calculation.
(b) Verify thattimes the speed at which the string moves in the direction of (i.e., the power delivered by) equals the rate at which the translational and rotational kinetic energies increase. That is.does all the work in this system, while the "internal" force does none. (c) Briefly discuss how parts (a) and (b) correspond to behaviors when an external electric field is applied to a semiconductor.
Question: In a diode laser electrons dropping from the conduction band across the gap, and into the valence band produce the photons that add to the coherent light. The ZnTe laser has a band gap of 2.25 eV. About what wavelength laser light would you expect it to produce?
The bond length of the molecule is , and its effective spring constant is at room temperature.
(a) What would be the ratio of molecules with rotational quantum number to those with (at the same vibrational level), and
(b) What would be the ratio of molecules with vibrational quantum number to those with (with the same rotational energy)?
As a crude approximation, an impurity pentavalent atom in a (tetravalent) silicon lattice can be treated as a one-electron atom, in which the extra electron orbits a net positive charge of 1. Because this "atom" is not in free space, however, the permitivity of free space, . must be replaced by , where is the dielectric constant of the surrounding material. The hydrogen atom ground-state energies would thus become
Given for silicon, how much energy is needed to free a donor electron in its ground state? (Actually. the effective mass of the donor electron is less than , so this prediction is somewhat high.)
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