A copper sample has a residual resistivity .

PHYSICS · Multi-part · Fermi University Physics · Condensed Matter, Materials & Soft Matter · Crystal structure, bonding and diffraction · Electronic transport in solids

Condensed Matter Physics, Ch Real crystals: vacancies, dislocations and the strength of metals

Problem

A copper sample has a residual resistivity ρe,0=3.6×10−9 Ω m\rho_{e,0} = 3.6\times10^{-9}\ \Omega\,\mathrm{m}. ((a)) Using the fact that one atomic per cent of dissolved nickel adds 1.2×10−8 Ω m1.2\times10^{-8}\ \Omega\,\mathrm{m} to copper's resistivity at every temperature (Section 13.7), estimate the nickel content of this sample in atomic per cent. ((b)) Taking the room-temperature vibrational part as copper's pure value, ρe,vib(300 K)=1.70×10−8 Ω m\rho_{e,{\rm vib}}(300\ \mathrm{K}) = 1.70\times10^{-8}\ \Omega\,\mathrm{m} (Chapter 8), find the sample's total resistivity at 300 K300\ \mathrm{K} and its residual resistance ratio ρe(300 K)/ρe,0\rho_e(300\ \mathrm{K})/\rho_{e,0}. ((c)) Using Chapter 8's pure-copper mean free path of 38 nm38\ \mathrm{nm} at 300 K300\ \mathrm{K} as a baseline, estimate this sample's mean free path at 4 K4\ \mathrm{K}.

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