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Direct Energy, 2018a

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116 6.3 Semiconductors and <strong>Energy</strong> Level Diagrams<br />

Material Gap in<br />

eV<br />

Material Gap in<br />

eV<br />

Material Gap in<br />

eV<br />

AlP 2.45 ZnS 3.6 GaP 2.26<br />

GaP 2.26 ZnSe 2.7 GaAs 1.43<br />

InP 1.35 ZnTe 2.25 GaSb 0.70<br />

Table 6.1: <strong>Energy</strong> gap of various semiconductors.<br />

Why are solar cells and optical photodetectors made from semiconductors<br />

instead of conductors? When light shines on a solar cell or photodetector,<br />

photons of light are absorbed by the material. If the photon absorbed<br />

has energy greater than the energy gap of the material, the electron quickly<br />

decays to the top of the conduction band. With some more time, it decays<br />

back to the lowest energy state. In a solar cell or photodetector, a pn<br />

junction is used to cause the electrons to ow before decaying back to the<br />

ground state. The amount of energy converted to electricity per excited<br />

electron depends on the energy gap of the material, not the energy of the<br />

incoming photon. Only energy E g per photon absorbed is converted to<br />

electricity regardless of the original energy of the photon. Thus, the energy<br />

gap of the material used to make a solar cell or photodetector should be<br />

large so that as much energy per excited electron is converted to electricity<br />

as possible. The material should not have an energy gap that is too small<br />

otherwise very little of the energy will be converted to electricity. The electron<br />

and hole will release the excess energy, hf − E g , quickly in the form<br />

of heat or lattice vibrations called phonons.<br />

Each semiconductor has a dierent energy gap E g . Many solar cells and<br />

photodetectors are made from silicon, which is a semiconductor with E g =<br />

1.1 eV. Predicting the energy gap of a material is quite dicult. However,<br />

all else equal, if an element of a semiconductor is replaced with one below<br />

it in the periodic table, the energy gap tends to get smaller. This trend is<br />

illustrated in Table 6.1. Data for the table comes from [9]. This trend is<br />

also illustrated in Fig. 6.6, which plots the energy gap and lattice constant<br />

for various semiconductors. Figure 6.6 is taken from reference [71]. The<br />

horizontal axis represents the interatomic spacing in units of angstroms,<br />

where one angstrom equals 10 10 meters. The vertical axis represents the<br />

energy gap in eV. This gure illustrates energy gaps and lattice constants<br />

for materials of a wide range of compositions. For example, the energy<br />

gap for aluminum phosphide can be found from the point labeled AlP, and<br />

the energy gap of aluminum arsenide can be found from the point labeled<br />

AlAs. <strong>Energy</strong> gap for semiconductors of composition AlAs x P 1−x can be<br />

found from the line between these points.

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