The diffusion coefficient of Si in crystalline Ge between 550 and 900C (figure 26) was determined. A molecular beam epitaxially grown buried Si layer in an epitaxial Ge layer on a crystalline Ge substrate was used as the diffusion source. For samples annealed at above 700C, a 50nm-thick SiO2 cap layer was deposited in order to prevent decomposition of the Ge surface. The temperature dependence of the diffusion coefficient could be described by:
D (cm2/s) = 4.2 x 101 exp[-3.32(eV)/kT]
over the entire temperature range. These data extended previous measurements by 2 orders of magnitude at low temperatures. The diffusion of isovalent Si was slower than Ge self-diffusion over the full temperature range and the activation enthalpy was higher than that for self-diffusion. This suggested a reduced interaction potential between the Si atom and the native defect mediating the diffusion process. For Si, which was smaller in size than the Ge self-atom, a reduced interaction was expected for a Si–vacancy (Si–VGe) pair. It was therefore concluded that Si diffused in Ge via the vacancy mechanism.
Diffusion of Silicon in Crystalline Germanium. H.H.Silvestri, H.Bracht, J.Lundsgaard Hansen, A.Nylandsted Larsen, E.E.Haller: Semiconductor Science and Technology, 2006, 21, 758-62
Table 38
Diffusivity of Sn in Ge
Temperature (C) | Method | D (cm2/s) |
930 | gas phase | 2.22 x 10-11 |
900 | gas phase | 8.92 x 10-12 |
875 | gas phase | 3.73 x 10-12 |
850 | gas phase | 1.89 x 10-12 |
825 | gas phase | 8.32 x 10-13 |
800 | gas phase | 4.28 x 10-13 |
775 | gas phase | 1.71 x 10-13 |
750 | gas phase | 6.92 x 10-14 |
725 | gas phase | 1.95 x 10-14 |
700 | gas phase | 1.33 x 10-14 |
650 | gas phase | 1.57 x 10-15 |
615 | gas phase | 2.72 x 10-16 |
555 | gas phase | 1.19 x 10-17 |
900 | thin film | 7.84 x 10-12 |
750 | thin film | 6.57 x 10-14 |
700 | thin film | 1.12 x 10-14 |