Video 8.4
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Concept development
Is a Ge impurity within Si a charged or uncharged impurity? Why?
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In a fluid, with a given relative dielectric constant εR, composed of electrically charged constituent particles, each pair of particles interact through the Coulomb force (below). This interaction complicates the theoretical treatment of the fluid. For example, a naive quantum mechanical calculation of the ground-state energy density yields infinity, which is unreasonable. The difficulty lies in the fact that even though the Coulomb force diminishes with distance as 1/r², the average number of particles at each distance r is proportional to r², assuming the fluid is fairly isotropic. As a result, a charge fluctuation at any one point has non-negligible effects at large distances.
How does screening alter this picture?
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In the Fermi-Thomas approximation, the system is maintained at a constant electron chemical potential (Fermi level).
Wait, what's the chemical potential in this context?
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As you cool a chunk of sodium, does the conductivity increase or decrease? How would you expect the low temperature conductivity to compare to a sodium-potassium alloy?
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