Gold has a measured resistivity and a measured Hall coefficient

PHYSICS · Subjective · Fermi University Physics · Condensed Matter, Materials & Soft Matter · Free electrons, energy bands and electronic structure · Electronic transport in solids

Condensed Matter Physics, Ch The free-electron gas: what Drude gets right and what only Fermi fixes

Problem

Gold has a measured resistivity ρe=2.44×10−8 Ω m\rho_e=2.44\times10^{-8}\,\Omega\,\mathrm{m} and a measured Hall coefficient RH=−7.2×10−11 m3 C−1R_H=-7.2\times10^{-11}\,\mathrm{m^3\,C^{-1}}, both at 295 K295\,\mathrm{K}. (a) Find the carrier density nn this implies, and confirm the sign of the carriers. (b) Use this nn together with the resistivity to find τ\tau. (c) Gold is face-centred cubic with a=4.078 A˚a=4.078\,\mathrm{\mathring{A}} and one conduction electron per atom by valence; find the electron density the structure alone predicts, and by what factor it disagrees with the density found in (a).

Browse the problem library