Electrical Resistivity of Metals

Jacob
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The resistivity then depends on collisions. Quantum mechanics tells us that electrons behave like waves. One of the effects of this is that electrons do not scatter from a perfect lattice. They scatter by defects, which can be:

– atoms displaced by lattice vibrations

– vacancies and interstitials

– dislocations, grain boundaries

– impurities

One can express the total resistivity ρtot by the Matthiessen rule, as a sum of resistivities due to thermal vibrations, impurities and dislocations. Fig. 19.8 illustrates how the resistivity increases with temperature, with deformation, and with alloying..

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