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The number of states per unit energy, for an electron moving in the aperiodic field of a dilute solid solution, is calculated by the Green function method. It is shown that the effect of scattering in a narrow band is to reduce the density of states at the Fermi limit. The thermal and magnetic properties of dilute alloys are therefore influenced by two effects: electron concentration and scattering. The results are applied to dilute solutions of Ag, Rh and Ru in palladium. An explanation isdoi:10.1098/rspa.1965.0118 fatcat:mfao3j6auvfmxnwrsudi7tj6sq