A hypothetical face-centred cubic metal has lattice constant and five valence…
PHYSICS · Subjective · Fermi University Physics · Condensed Matter, Materials & Soft Matter · Free electrons, energy bands and electronic structure · Free electrons, energy bands and electronic structure
Condensed Matter Physics, Ch Tight binding, band filling and the three kinds of solid
Problem
A hypothetical face-centred cubic metal has lattice constant a=3.90A˚ and five valence electrons per atom. The first band is completely full. Band-structure measurements show the remaining three electrons per atom are shared between the second band, which holds 1.85 electrons per atom (so 0.15 holes), and the third band, which holds 1.15 electrons per atom. Predict the sign of the strong-field Hall coefficient and find its size.