The screened-Coulomb golden-rule calculation for a charged solute in copper gives a…

PHYSICS · Subjective · Fermi University Physics · Condensed Matter, Materials & Soft Matter · Electronic transport in solids · Electronic transport in solids

Solid State Physics, Ch The Boltzmann equation and electrical transport

Problem

The screened-Coulomb golden-rule calculation for a charged solute in copper gives a residual resistivity per atomic per cent that scales as (ΔZ)2(\Delta Z)^2, where ΔZ\Delta Z is the difference in valence between the solute ion and the host copper ion, because the scattering matrix element is proportional to the solute's excess charge. For a solute with ΔZ=1\Delta Z=1 this calculation gives ρ0=1.8 μΩ cm\rho_0 = 1.8\,\mu\Omega\,\mathrm{cm} per atomic per cent. Using this scaling, estimate the residual resistivity per atomic per cent contributed by a solute with ΔZ=3\Delta Z=3 dissolved in copper.

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