Journal of Applied Physics · 2007 · 58 citations · 26 references
EngineeringMaterials EngineeringMaterials ScienceMetallurgyPhysical ChemistryThermal AnalysisFerrous MetallurgyIron OxidesSilicon MaterialsFokker - Planck EquationFokker-planck EquationsFokker-planck TheoryHeterogeneous NucleationIron PrecipitationPrecipitatesSilicon ContaminationSilicon Defects
Heterogeneous iron precipitation in silicon was studied experimentally by measuring the gettering efficiency of oxide precipitate density of 1×1010cm−3. The wafers were contaminated with varying iron concentrations, and the gettering efficiency was studied using isothermal annealing in the temperature range from 300to780°C. It was found that iron precipitation obeys the so-called s-curve behavior: if iron precipitation occurs, nearly all iron is gettered. For example, after 30min annealing at 700°C, the highest initial iron concentration of 8×1013cm−3 drops to 3×1012cm−3, where as two lower initial iron concentrations of 5×1012 and 2×1013cm−3 remain nearly constant. This means that the level of supersaturation plays a significant role in the final gettering efficiency, and a rather high level of supersaturation is required before iron precipitation occurs at all. In addition, a model is presented for the growth and dissolution of iron precipitates at oxygen-related defects in silicon during thermal processing. The heterogeneous nucleation of iron is taken into account by special growth and dissolution rates, which are inserted into the Fokker-Planck equation. Comparison of simulated results to experimental ones proves that this model can be used to estimate internal gettering efficiency of iron under a variety of processing conditions.
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A practical difference scheme for Fokker-Planck equations
Jincai Chang, G. Cooper · Journal of Computational Physics · 1970 · 556 citations
Iron and its complexes in silicon
A. A. Istratov, H. Hieslmair, E. R. Weber · Applied Physics A · 1999 · 536 citations
Oxygen precipitation in silicon
A. Borghesi, B. Pivac, A. Sassella et al. · Journal of Applied Physics · 1995 · 488 citations
Natural Sciences, Materials Engineering, Materials Science +11
Oxygen precipitation in silicon
W. Patrick, E. E. Hearn, W. A. Westdorp et al. · Journal of Applied Physics · 1979 · 442 citations
Natural Sciences, Materials Engineering, Materials Science +11