Based only on the desire to limit minority carriers, why would silicon be preferable to germanium as a fabric for doped semiconductors?

The crystal lattice of silicon has a diamond cubic crystal structure is a repeating pattern of eight atoms. Each silicon atom is connected to four neighboring silicon atoms by four bonds. Silicon, a very common element, is used as a raw material for semiconductors because of its stable structure.

The minority carriers in a doped semiconductor are the electron-hole pairs. Since the energy gap between the valence bands and the conduction bands is $\text{1.1}\mathrm{eV}$ for silicon and $0.7\mathrm{eV}$ for germanium, it is easier for electrons to move between bands and thus produce minority carriers in germanium, which has a smaller energy gap. Thus in order to limit minority carriers, we should choose silicon as a fabric for doped semiconductors.