The diffusion of ion-implanted B in Si in the presence of a uniform background of high concentration P or As has been studied by correlating, numerical profile calculations with profiles determined by secondary-ion mass spectrometry (SIMS). Retarded B diffusion is observed in both As-and P-doped Si, consistent with the effect of the local Fermi-level position in the Si bandgap on B diffusivity, DB. It is shown that DB is linearly dependent on the free hole concentration, p, over the range 0.1 < P/nie < 30, where nie is the effective intrinsic electron concentration. This result does not depend on the way in which the background dopant has been introduced (implantation predeposition or doped-oxiae source), nor the type of dopant used (P or As).In earlier papers (1, 2) the theory was discussed that the diffusion of B in Si is controlled by donor-type monovacancies. This model predicts that the diffusivity of B increases linearly with B concentration for CB > nj when the concentration of n-type dopants, CN, is << hi. The combined observations of many workers verify this fact. It has also been demonstrated (2) that the diffusivity of B in uniform As-doped Si (CN ~ 1.5 • 1020 cm -3) is retarded approximately linearly with the decrease in the normalized hole concentration, p/ni, also predicted by the donor-type m0novacancy model. Some ambiguity may exist in interpreting these results, since the retarded diffusion of B in Si in the presence of a diffusing As layer has been attributed to other effects (3, 4). Therefore, additional data have been obtained by implanting and diffusing B into uniform P-and As-doped Si layers. Retarded B diffusion in both P-and As-doped Si has been observed, consist ~ ent with the theory of a Fermi-level-controlled concentration of donor-type vacancies which directly affect B diffusivity. The significance of this result is that transistor modeling programs must take this first-order effect into account, since the diffusion of B in the preSence of n-type dopants is invariably encountered. Examples of numerically calculated B diffusion profiles in n-type Si are presented in which the local diffusivity is determined from the local hole concentration, p. Heavy-doping effects (5) ' on the Fermi-level calculation are included. These calculations are compared with experimental profiles obtained by secondary-ion mass spectrometry (SIMS) analysis.
ExperimentalIon-implantation and doped-oxide source diffusions were both used to introduce P and As into Si slices. Silicon slices [(100) orientation, 1 ohm-cm, p-type] were implanted with 5 X 1015 cm -2, 50 keV P, and then were diffused at 1050~ for 45 min in a N2/O2 ambient. In other slices, arsenic implantations were performed (5 X 1015 cm-2, 50 keV), and these samples were diffused at 1050~ for 2 hr, also in N2/O2. In both cases, ,-~600A of SiO2 grew on the Si surface, which was retained through the subsequent B implantation. P-and As-doped oxide depositions were performed on another group of Si slices, and diffusions were performed in 02 at 1050~ for 2 ...