How to calculate band gap energy from UV-Vis absorption using Origin

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0:00 what is Tauc plot?
1:15 direct and indirect electronic band transitions
3:00 derivation of the absorption coefficient from Beer-Lambert law
4:50 How to calculate band gap energy from UV-Vis absorption using Origin
6:55 Bandgap energy from absorption data using Tauc plot method
8:10 Band-gap (Eg) of UV-Vis Absorption Spectra using Tauc Plot
10:30 Bandgap (Eg) calculation of UV-Vis spectroscopy from absorption spectra
Exercise File (Origin File):
https://drive.google.com/file/d/1UdMH...

This Youtube video titled "How to calculate band gap energy from UV-Vis absorption using Origin" explains step-by-step the process of calculating the energy bandgap of a semiconductor material using UV-Vis absorption data with the help of Origin software. The video starts by providing a brief introduction to the energy bandgap and its importance in semiconductor physics. The presenter then shows how to import the absorption data into Origin and how to plot it in the Tauc plot format. The linear fit of the Tauc plot is then used to extrapolate the bandgap energy of the semiconductor material. The video also demonstrates how to use Origin to generate a report with the calculated bandgap value and other important parameters. Overall, this video provides a clear and concise guide for anyone interested in calculating bandgap energy from UV-Vis absorption data using Origin.

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All UV-Vis Analysis Video Tutorials:
1. How to calculate band gap energy from UV-Vis absorption
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2. Calculate band gap energy from UV-Vis absorbance
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3. How to calculate band gap energy from UV-Vis reflection (DRS) data
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4. How to calculate band gap energy from photoluminescence (PL) data
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5. Band gap energy with baseline correction using Tauc plot from UV-Vis absorbance data
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6. How to estimate the size of nanoparticles from UV-Vis absorbance data
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7. Nanoparticle size, morphology, concentration and distribution from UV-Vis absorbance data
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8. Calculate concentration from UV-Vis absorbance using Beer-Lambert's law
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9. How to calculate Urbach energy from UV-Vis absorbance data
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10. How to plot and normalize FTIR and UV-VIS data
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11. Absorption coefficient α calculation from UV-Vis absorbance data
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References:
https://www.nature.com/articles/s4159...
How is band gap energy calculated?
How is band gap energy of a semiconductor calculated?
How do you find the band gap of a material?
How do you calculate direct band gap?

Tauc used an equation in 1968 to calculate the absorption edges (bandgaps) of amorphous Ge and Si from their absorption data.
(αhν)γ=A(hν-Eg)
In this equation, α is the absorption coefficient, h is Planck’s constant, υ is the frequency of the incident photon, A is a proportionality constant (which is determined by the index of refraction, electron, and hole effective masses; however, it is usually taken as 1 for amorphous materials), and Eg is the bandgap energy. The important term is the exponent γ, which denotes the nature of the electronic transition, that is, when
γ=2 it is a direct allowed transition, and when it is equal to 1/2, it is an indirect allowed transition.
For γ=2/3 it is a direct forbidden transition, and for γ=1/3 an indirect forbidden transition.
Typically, the allowed transitions dominate the basic absorption processes, giving either direct or indirect transitions.
Thus, the basic procedure for a Tauc analysis is to acquire optical absorbance data for a sample in question that spans a range of energies from below the bandgap transition to above it.
Plotting the (αhν)γ versus (hν) is a matter of testing γ=2 or γ=1/2 to compare which provides
the better fit and thus identifies the correct transition type.