In order to grow semiconductors with minimal defects on top of silicon, the most important requirement is to ensure that the size of the crystal lattice of the film to be grown is similar to the crystal lattice of silicon, sometimes referred to as lattice matching. Unfortunately, germanium atoms are a lot larger than silicon atoms, so if you were to grown pure germanium crystals on top of silicon, the difference in the size of crystal lattice would cause lots of defects in the germanium crystals.
Source:Ieee
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