M\"ossbauer spectra for $^{197}\mathrm{Au}$ have been obtained for nominally 1-, 2-, and 4-at.% solid solutions of the elements Sc, Ti, V, Cr, Mn, Fe, Co, Ni, Cu, Zn, Ga, Ge, Ag, Cd, In, Sn, and Sb with high-purity gold at 4.2\ifmmode^\circ\else\textdegree\fi{}K. The change in isomer shift from that of pure $^{197}\mathrm{Au}$ arising from the charge-density perturbation by the impurity have been extrapolated to 0-at.% solute for these elements to determine the influence of impurities in gold upon the electronic conduction band. The resultant isomer shifts (corrected for volume effects) are presented in comparison to the residual electrical resistivity of the same impurities in gold and provide a new and more rigid constraint upon the character of the scattering potential at an impurity site in gold.