Single and double K-shell-vacancy production and K-K electron-transfer cross sections have been measured in the limit of zero target thickness for Fe and Ni induced by 1.25 -4.70 MeV/amu Si and S ions. The Suorescence yield wz for Fe and Ni at x-ray emission was determined from the measured energy shifts of target K x rays, the intensity ratios of KP and Ko. and using the statistical scaling procedure of Larkins [J. Phys. B 4, L29 (1971)].The single-electron-transfer cross sections are compared with the atomic-orbital-expansion model (AO) of Fritsch and Lin [Phys.Rep. 202, 1 (1991)],and the semiempirical perturbed-stationary-state (PSS) approach of McDaniel [Phys. Rev. A 22, 1896 (1980)]. The AO calculations show excellent agreement with the single K-K transfer cross sections. This model also explains the double K-K transfer data quite well although it underestimates slightly the measured values. The direct K-shell ionization cross section data are compared with the ECPSSR (perturbed-stationary-state theory with energy-loss, Coulomb de8ection, and relativistic corrections) calculations.PACS number(s): 34.50.Fa, 34.?0.+e