2021
DOI: 10.3390/ma14071639
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Optical Bandgap Definition via a Modified Form of Urbach’s Rule

Abstract: We are reporting an esoteric method to determine the optical bandgap of direct gap materials by employing Urbach’s rule. The latter, which describes the slope of the band tail absorption in semiconductors, in its original version, cannot be employed to pinpoint the optical bandgap. Herein, however, we show that a modified form of Urbach’s rule defines the optical bandgap, and therefore, enables the accurate determination of the optical bandgap energy, which turns out to be identical with the threshold energy f… Show more

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Cited by 10 publications
(4 citation statements)
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“…Since the c domains are polarized in either upward ( c + ) or downward ( c – ) direction with respect to the a–b plane of the crystal, the induced charges on the surface lead to a higher surface and electrostatic energy as compared to those in the a domains. Polar H 2 O molecules prefer to adsorb on the c domain to neutralize the surface charge, whereas the a domain has no surface charges. The chemisorbed water droplets create sub-band gap states, leading to the inarticulate band gap energy values reported in the literature from 1.81 to 3.4 eV in its ferroelectric ground state. The existence of sub-band gap states allows the absorption of visible light by the c domains of BTO dominantly (see Supporting Information S6), and hence the photo-voltaic effect occurs. Whereas, a domains show lesser sensitivity to the visible light illumination.…”
Section: Discussionmentioning
confidence: 99%
“…Since the c domains are polarized in either upward ( c + ) or downward ( c – ) direction with respect to the a–b plane of the crystal, the induced charges on the surface lead to a higher surface and electrostatic energy as compared to those in the a domains. Polar H 2 O molecules prefer to adsorb on the c domain to neutralize the surface charge, whereas the a domain has no surface charges. The chemisorbed water droplets create sub-band gap states, leading to the inarticulate band gap energy values reported in the literature from 1.81 to 3.4 eV in its ferroelectric ground state. The existence of sub-band gap states allows the absorption of visible light by the c domains of BTO dominantly (see Supporting Information S6), and hence the photo-voltaic effect occurs. Whereas, a domains show lesser sensitivity to the visible light illumination.…”
Section: Discussionmentioning
confidence: 99%
“…Additionally, the Urbach rule itself is an empirical formula used to describe the exponential absorption near the band-edge. This can be changed accordingly to improve the description or even to determine the optical bandgap [63].…”
Section: Urbach Slopementioning
confidence: 99%
“…The absorption edge becomes wide for polycrystalline and amorphous semiconductors because allowed localized states are found in the energy gap. The width of these localized states can be calculated using Urbach Rule [36] α= α0𝑒…”
Section: Uv-vis Propertiesmentioning
confidence: 99%