Band Gap

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Band gap - Wikipedia, the free encyclopedia
For insulators and semiconductors, the band gap generally refers to the energy ... Insulators with a higher band gap, usually greater than 3 eV, are not considered ...
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Electronic band structure - Wikipedia, the free encyclopedia
... band gap is one of the most useful aspects of the band structure, ... Band Gap. Effective mass. Local-density approximation. Dynamical theory of diffraction ...
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band gap
The band gap energy is the amount of energy (in electron volts) required to free ... The band gap energies of other effective photovoltaic semiconductors range ...
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band gap ( ?band ?gap ) ( solid-state physics ) An energy difference between two allowed bands of ... and semiconductors, the band gap generally refers to the ...
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In solid state physics and related applied fields, the band gap, also called an energy gap or stop band, is a region where a particle or quasiparticle is forbidden from propagating. For Electrical insulations and semiconductors, the band gap generally refers to the energy difference between the top of the valence band and the bottom of the conduction band.

In semiconductor physics .

In semiconductors and insulators, electrons are confined to a number of Electronic band structure of energy, and forbidden from other regions. The term "band gap" refers to the energy difference between the top of the valence band and the bottom of the conduction band, where electrons are able to jump from one band to another.

The electrical conductivity of intrinsic semiconductors is strongly dependent on the band gap. The only available carriers for conduction are the electrons which have enough thermal energy to be excited across the band gap.

Band gap engineering is the process of controlling or altering the band gap of a material by controlling the composition of certain semiconductor alloys, such as GaAlAs, InGaAs, and InAlAs. It is also possible to construct layered materials with alternating compositions by techniques like molecular beam epitaxy. These methods are exploited in the design of heterojunction bipolar transistors (HBTs), laser diodes and solar cells.

The distinction between semiconductors and insulators is a matter of convention. One approach is to consider semiconductors a type of insulator with a low band gap. Insulators with a higher band gap, usually greater than 3 eV, are not considered semiconductors and generally do not exhibit semiconductive behaviour under practical conditions. Electron mobility also plays a role in determining a material's informal classification.

Band gaps depend on temperature because of thermal expansion. Band gaps also depend on pressure. Band gaps can be either Direct bandgap or indirect bandgaps, depending on the band structure.

Mathematical interpretation Classically, the ratio of probabilities that two states with an energy difference ΔE will be occupied by an electron is given by the Boltzmann factor: e^{\left(\frac{-\Delta E}{kT}\right)}

where:

e is the exponential function \, \Delta E is the energy difference \, k is Boltzmann's constant \, T is temperature

At the Fermi level (or chemical potential), the probability of a state being occupied is ½. If the Fermi level is in the middle of a band gap of 1 eV, this ratio is e -20 or about 0.5•10-9 at the room-temperature thermal energy of 25 meV.

List of band gaps {| class="wikitable"|-! Material !! Symbol !! Band gap (electron volt) @ 300kelvin|-| [Silicon| Ge| 0.67 |-| [Silicon carbide| AlP| 2.45 |-| [Aluminum arsenide| AlSb| 1.6 |-| [Gallium(III) phosphide| GaAs| 1.43 |-| [Gallium(III) nitride| GaS| 2.5 (@ 295 K)|-| [Gallium antimonide| InP| 1.35 |-| [Indium(III) arsenide| ZnS| 3.6 |-| [Zinc selenide| ZnTe| 2.25 |-| [Cadmium sulfide| CdSe| 1.73 |-| [Cadmium telluride| PbS| 0.37 |-| [Lead(II) selenide| PbTe| 0.29 |}

In photonics and phononics In photonics band gaps or stop bands are ranges of photon frequencies where, if tunneling effects are neglected, no photons can be transmitted through a material. A material exhibiting this behaviour is known as a photonic crystal.

Similar physics applies to phonons in a phononic crystal.

References

See also Chemicals

List of electronics topics



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band gap definition of band gap in the Free Online Encyclopedia.
Using a dot with a smaller band gap increases the expected number of excitons because less energy is needed to push each electron over the threshold, Klimov explains.

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Spatial structures as a result of a modulational instability are studied in a nonlinear cavity with a photonic crystal. The interaction of the modulated refractive index with the ...

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The results of experimental studies of scattering and interference of waves in one-dimensional photonic band-gap structures based on coaxial waveguides with corrugated inner and ...

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