Understanding Local‐Field Correction Factors in the Framework of the Onsager−Böttcher Model

Aubret, Antoine; Orrit, Michel; Kulzer, Florian

doi:10.1002/cphc.201800923

Cited by 23 publications

(23 citation statements)

References 62 publications

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“…[92] The latter mixing rule is not the only one, which has been developed over the centuries, because simulated spectra based on the mixing rules quite often do not resemble the actual spectrum well. Further mixing rules are the Onsager-Böttcher theory, [93] the Maxwell Garnett model and the Bruggeman formula, [94] to name just the most important. For all these mixing rules, it is required that the regions or domains where one constituent is the only or the dominating one, are small compared to the wavelength (�1/10 λ) and/or the resolution limit of light, i. e. the sample is micro-homogeneous.…”

Section: Sample Heterogeneity and Mixing Rulesmentioning

confidence: 99%

The Bouguer‐Beer‐Lambert Law: Shining Light on the Obscure

2020

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The Beer‐Lambert law is unquestionably the most important law in optical spectroscopy and indispensable for the qualitative and quantitative interpretation of spectroscopic data. As such, every spectroscopist should know its limits and potential pitfalls, arising from its application, by heart. It is the goal of this work to review these limits and pitfalls, as well as to provide solutions and explanations to guide the reader. This guidance will allow a deeper understanding of spectral features, which cannot be explained by the Beer‐Lambert law, because they arise from electromagnetic effects/the wave nature of light. Those features include band shifts and intensity changes based exclusively upon optical conditions, i. e. the method chosen to record the spectra, the substrate and the form of the sample. As such, the review will be an essential tool towards a full understanding of optical spectra and their quantitative interpretation based not only on oscillator positions, but also on their strengths and damping constants.

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Section: Sample Heterogeneity and Mixing Rulesmentioning

confidence: 99%

The Bouguer‐Beer‐Lambert Law: Shining Light on the Obscure

2020

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“…Assuming that there are no interactions between dipoles, i. e., no chemical interactions and no local field effects, [26] the following expression for the relative dielectric function ɛ r is obtained [Eq. (2)]: [25] ð2Þ where c is the molar concentration, N A is Avogadro's constant, α is the (complex) polarizability and e 0 is the permittivity of free space.…”

Section: Beer's Law-why Integrated Absorbance Depends Linearly On Conmentioning

confidence: 99%

Beer's Law‐Why Integrated Absorbance Depends Linearly on Concentration

2019

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As derived by Max Planck in 1903 from dispersion theory, Beer's law has a fundamental limitation. The concentration dependence of absorbance can deviate from linearity, even in the absence of any interactions or instrumental nonlinearities. Integrated absorbance, not peak absorbance, depends linearly on concentration. The numerical integration of the absorbance leads to maximum deviations from linearity of less than 0.1 %. This deviation is a consequence of a sum rule that was derived from the Kramers‐Kronig relations at a time when the fundamental limitation of Beer's law was no longer mentioned in the literature. This sum rule also links concentration to (classical) oscillator strengths and thereby enables the use of dispersion analysis to determine the concentration directly from transmittance and reflectance measurements. Thus, concentration analysis of complex samples, such as layered and/or anisotropic materials, in which Beer's law cannot be applied, can be achieved using dispersion analysis.

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“…where is the host refractive index, and ED = ( 2 + 2)∕9 the local-field correction in the virtual-cavity model (see for example Ref. [36]). In contrast with the free-ion case, Eq.…”

Section: Description Of Our Calculationsmentioning

confidence: 99%

Transition intensities of trivalent lanthanide ions in solids: Extending the Judd-Ofelt theory

Hovhannesyan

Boudon

Lepers

2022

Journal of Luminescence

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This is a PDF file of an article that has undergone enhancements after acceptance, such as the addition of a cover page and metadata, and formatting for readability, but it is not yet the definitive version of record. This version will undergo additional copyediting, typesetting and review before it is published in its final form, but we are providing this version to give early visibility of the article. Please note that, during the production process, errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal pertain.

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Understanding Local‐Field Correction Factors in the Framework of the Onsager−Böttcher Model

Cited by 23 publications

References 62 publications

The Bouguer‐Beer‐Lambert Law: Shining Light on the Obscure

The Bouguer‐Beer‐Lambert Law: Shining Light on the Obscure

Beer's Law‐Why Integrated Absorbance Depends Linearly on Concentration

Transition intensities of trivalent lanthanide ions in solids: Extending the Judd-Ofelt theory

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