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we all know that electrons,photons, phonons can excite an electron from valence band to conduction band...i think the main difference between electronic bandgap and optical bandgap is that in electonic its the energy required for an electron to move from the valence band to the conduction band.but in optical bandgap photons(packet of energy in the form of light waves) are assisting the electrons to move from valence band to conduction band.

The difference between optical and electronic bandgap is more complexe actually. The optical bandgap is the one that can be measured using optical techniques (based on transmission and reflection, i.e. Tauc plot). However, this measurement does not take into account all traps you might have within the bandgap that can modify the energy required to move one charge carrier from the conduction band ans the conduction band. The electronic band gap (which is the one of interest in fine, in an integrated device) is measured under operation. Thus, for many devices (lasers, solar cells...etc.) the electronic bandgap (energy required to get the device working) can defer from the optical bandgap.

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Q: What is bifference between optical bandgap and semiconduct0r bandgap?
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Optical properties of solids are described by the wavelength dependence of the complex refractive index. This is how the medium (the solid) responds to the electromagnetic wave. The dispersion of the real refractive index n(E), where E is the photon energy can be described with the model of many oscillators (electrons), which react to the electromagnetic wave. Simplifying the relations we obtain an equation of a single oscillator with effective parameters, which reflect the contributions of all the oscillators. These parameters are the oscillator strength Ed and the oscillator energy E0. So the oscillator energy is a parameter, connected with the optical properties of the solid and the electron transitions - it is connected with the optical bandgap Eg with the relation E0~1.5Eg.


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