Semiempirical model for analysis of inhomogeneous optically thick laser-induced plasmas

D'Angelo, Cristian A.; Pace, Diego Martin Diaz; Bertuccelli, G.

doi:10.1016/j.sab.2009.07.006

Cited by 20 publications

(12 citation statements)

References 34 publications

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“…(17) allows making for the line cross section σ l the same interpretation made by Zel'dovich and Raizer for σ(λ) with two differences: N z α is replaced with N α , so both atoms and ions of an element are considered, and the process includes stimulated emission together with absorption, as the coefficient k 0 is used instead of k. From Eqs. (13) and (17) the line cross section may be expressed as…”

Section: Line Cross Section σ Lmentioning

confidence: 99%

“…By comparing computed line profiles with the experimental ones, the temperature, electron density and densities of emitting species were determined. A similar approach was used by D'Angelo et al [12,13] for a laser-induced plasma generated from a ternary alloy Co-Cr-Mo. In [12], a two-region plasma picture of a hot dense core surrounded by a colder periphery was considered whereas a cylinder-symmetrical plasma column with a parabolic temperature distribution was used in [13].…”

Section: Introductionmentioning

confidence: 99%

“…A similar approach was used by D'Angelo et al [12,13] for a laser-induced plasma generated from a ternary alloy Co-Cr-Mo. In [12], a two-region plasma picture of a hot dense core surrounded by a colder periphery was considered whereas a cylinder-symmetrical plasma column with a parabolic temperature distribution was used in [13]. A heuristic model for LIBS was developed by Wester and Noll [14], based on the use of the radiation transport equation to calculate the spectrum emitted by the laserinduced plasma, described by a two-shell model surrounded by ambient gas.…”

Section: Introductionmentioning

confidence: 99%

“…The effect of the first group of parameters is quantified in the k t coefficient, introduced in our previous work [20], which depends on the oscillator strength and other atomic data of the transition as well as on the plasma temperature. The k t concept has been used by other groups to estimate selfabsorption in LIBS experiments [24][25][26][27][28] or as a starting point for the development of self-absorption models [9,12,13]. However, the k t coefficient allows comparing the optical depth of lines of a given element and ionization state if the lines have the same line shape.…”

Section: Introductionmentioning

confidence: 99%

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CSigma graphs: A new approach for plasma characterization in laser-induced breakdown spectroscopy

Aragón

Aguilera

2014

Journal of Quantitative Spectroscopy and Radiative Transfer

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a b s t r a c tA generalization of curves of growth called CSigma (Cσ) graphs, which allows including several lines of various elements in the same ionization state at different concentrations, is proposed for laser-induced breakdown spectroscopy (LIBS) experiments. The method relies on the Boltzmann, Saha and radiative transfer equations for plasmas in local thermodynamic equilibrium. Cσ graphs are based on the calculation of a line cross section σ l for each of the experimental data, starting from the atomic data of the line, the temperature and the electron density. A model of homogeneous plasma, applied separately for neutral atoms and ions, is used. A limit of validity is established for this model. Experimental Cσ graphs have been obtained using fused glass samples containing Fe, Mn, Mg, Si and Cr. By fitting experimental Cσ graphs to calculated curves, the LIBS system becomes characterized by a set of four parameters βA, Nl, T, N e , different for neutral atoms and ions. Starting from this characterization, the intensity and selfabsorption of a given spectral line of an element at a certain concentration may be predicted, provided that its atomic data are known and the limit of validity is not exceeded.

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Section: Line Cross Section σ Lmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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CSigma graphs: A new approach for plasma characterization in laser-induced breakdown spectroscopy

Aragón

Aguilera

2014

Journal of Quantitative Spectroscopy and Radiative Transfer

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“…Then, after diagnostic stages, appropriate corrective methods corrected the self-absorbed spectral line intensities before utilizing them for analytical goals. Finally, they calculated the plasma parameters after suitable correction methods, but some groups used these self-absorbed lines straightly by applying appropriate theoretical models without any correction, in spite of its complicated calculations [4,[18][19][20][21].…”

Section: Self-absorption Effectmentioning

confidence: 99%

Optically Thick Laser-Induced Plasmas in Spectroscopic Analysis

Rezaei¹

2016

Plasma Science and Technology - Progress in Physical States and Chemical Reactions

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Studies on the plasma physics has been grown over the past few decades as a major research field. The plasma can be produced by different sources such as acr, spark, electric discharge, laser and so on. The spectral radiation of the plasma which acts as its fingerprint, contains valuable information about plasma features. Characterization of plasmas by spectroscopic measurement is a powerful tool for increasing the knowledge and applications of these kinds of radiation sources. Therefore, the spectral diagnostics methods are proposed which are based on measurement of spectral lines intensity, estimation of continuous and absorption radiation, and as well as determination of shifts and halfwiths of the spectrum [1]. The fundamental characteristic parameters of the plasma, i.e., the number densities of plasma species, electron temperature, and as well as particle transport property at each plasma space can be determined by optical emission spectroscopy and utilizing appropriate methods [2]. For accurate evaluation of plasma parameters, its thickness must be thoroughly considered. Generally, the plasmas can be separated into two categories of thin and thick groups. In thin plasmas, the re-absorption of radiation is negligible. Consequently, in spectroscopic analysis, the non-self-absorbed spectral radiation is evaluated by considering the summation of all spectral emissions along the line of sight. In optically thick plasmas, the radiation trapping happens which leads to the selfabsorption phenomenon in spectroscopic analysis that is explained with details in below section.

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Calibration‐Free Laser‐Induced Breakdown Spectroscopy

Hermann

2023

Laser Induced Breakdown Spectroscopy (LIBS)

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HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers. L'archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d'enseignement et de recherche français ou étrangers, des laboratoires publics ou privés.

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Semiempirical model for analysis of inhomogeneous optically thick laser-induced plasmas

Cited by 20 publications

References 34 publications

CSigma graphs: A new approach for plasma characterization in laser-induced breakdown spectroscopy

CSigma graphs: A new approach for plasma characterization in laser-induced breakdown spectroscopy

Optically Thick Laser-Induced Plasmas in Spectroscopic Analysis

Calibration‐Free Laser‐Induced Breakdown Spectroscopy

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