Question
What mass of phosphorus is needed to dope 1.0 g of silicon so that the number density of conduction electrons in the silicon is increased by a multiply factor of $10^{6}$ from the $10^{16} \mathrm{m}^{-3}$ in pure silicon.
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The molar mass of phosphorus (P) is given as 30.9758 g/mol. Show more…
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Suppose that a silicon semiconductor is doped with phosphorus so that one silicon atom in $1.2 \times 10^{6}$ is replaced by a phosphorus atom. Assuming that the "extra" electron in every phosphorus atom is donated to the conduction band, by what factor is the density of conduction electrons increased? The density of silicon is $2330 \mathrm{~kg} / \mathrm{m}^{3}$, and the density of conduction electrons in pure silicon is about $10^{16} \mathrm{~m}^{-3}$ at room temperature.
(III) Suppose that a silicon semiconductor is doped with phosphorus so that one silicon atom in $10^{6}$ is replaced by a phosphorus atom. Assuming that the "extra" electron in every phosphorus atom is donated to the conduction band, by what factor is the density of conduction electrons increased? The density of silicon is $2330 \mathrm{kg} / \mathrm{m}^{3},$ and the density of conduction electrons in pure silicon is about $10^{16} \mathrm{m}^{-3}$ at room temperature.
(III) Suppose that a silicon semiconductor is doped with phosphorus so that one silicon atom in 1.5 $\times$ 10$^6$ is replaced by a phosphorus atom. Assuming that the "extra" electron in every phosphorus atom is donated to the conduction band, by what factor is the density of conduction electrons increased? The density of silicon is 2330 kg/m$^3$, and the density of conduction electrons in pure silicon is about 10$^{16}$ m$^{-3}$ at room temperature.
MOLECULES AND SOLIDS
Semiconductors and Doping
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