Uncertainty of Integrated Intensity Following Line Profile Fitting of Multiline Spectra
Abstract
A novel method of determining the total uncertainty in the integrated intensity of fitted emission lines in multi-peaked emission spectra is presented. The proposed method does not require an assumption of the type of line profile to be specified. The absolute difference between a fit and measured spectrum defines the uncertainty of the integrated signal intensity and is subsequently decomposed to determine the uncertainty of each peak in multi-line fits. Decomposition relies on tabulating a weighting factor which describes how each peak contributes to the total integral uncertainty. Applications of this method to quantitative approaches in laser-induced breakdown spectroscopy analysis are described.
- Authors:
-
[1];
- Univ. of Massachusetts, Lowell, MA (United States); Delaware State Univ., Ringgold, DE (United States)
- Delaware State Univ., Ringgold, DE (United States)
- Y-12 National Security Complex, Oak Ridge, TN (United States)
- Univ. of Massachusetts, Lowell, MA (United States)
- Publication Date:
- Research Org.:
- Oak Ridge Y-12 Plant (Y-12), Oak Ridge, TN (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1479876
- Report Number(s):
- IROS6851_1
Journal ID: ISSN 0003-7028
- Grant/Contract Number:
- NA0001942
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Applied Spectroscopy
- Additional Journal Information:
- Journal Volume: 72; Journal Issue: 5; Journal ID: ISSN 0003-7028
- Publisher:
- Society for Applied Spectroscopy
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 36 MATERIALS SCIENCE; Laser-Induced Breakdown Spectroscopy; Uncertainties; Fitting
Citation Formats
Surmick, David M., Boukari, Hacene, Woodward, Jonathan, Stowe, Ashley C., and Melikechi, Noureddine. Uncertainty of Integrated Intensity Following Line Profile Fitting of Multiline Spectra. United States: N. p., 2018.
Web. doi:10.1177/0003702818756652.
Surmick, David M., Boukari, Hacene, Woodward, Jonathan, Stowe, Ashley C., & Melikechi, Noureddine. Uncertainty of Integrated Intensity Following Line Profile Fitting of Multiline Spectra. United States. https://doi.org/10.1177/0003702818756652
Surmick, David M., Boukari, Hacene, Woodward, Jonathan, Stowe, Ashley C., and Melikechi, Noureddine. Wed .
"Uncertainty of Integrated Intensity Following Line Profile Fitting of Multiline Spectra". United States. https://doi.org/10.1177/0003702818756652. https://www.osti.gov/servlets/purl/1479876.
@article{osti_1479876,
title = {Uncertainty of Integrated Intensity Following Line Profile Fitting of Multiline Spectra},
author = {Surmick, David M. and Boukari, Hacene and Woodward, Jonathan and Stowe, Ashley C. and Melikechi, Noureddine},
abstractNote = {A novel method of determining the total uncertainty in the integrated intensity of fitted emission lines in multi-peaked emission spectra is presented. The proposed method does not require an assumption of the type of line profile to be specified. The absolute difference between a fit and measured spectrum defines the uncertainty of the integrated signal intensity and is subsequently decomposed to determine the uncertainty of each peak in multi-line fits. Decomposition relies on tabulating a weighting factor which describes how each peak contributes to the total integral uncertainty. Applications of this method to quantitative approaches in laser-induced breakdown spectroscopy analysis are described.},
doi = {10.1177/0003702818756652},
journal = {Applied Spectroscopy},
number = 5,
volume = 72,
place = {United States},
year = {Wed Feb 21 00:00:00 EST 2018},
month = {Wed Feb 21 00:00:00 EST 2018}
}
Free Publicly Available Full Text
Publisher's Version of Record
Other availability
Search WorldCat to find libraries that may hold this journal
Cited by: 1 work
Citation information provided by
Web of Science
Web of Science
Figures / Tables:
Figure 1: Nonlinear fitting result of Al 256.79 and 257.50 nm transitions collected in a time and space integrated spectral measurement following ablation of an Al alloy 7050 target in ambient laboratory air.
All figures and tables
(4 total)
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
Precision Limits to Emission‐Line Profile Measuring Experiments
journal, February 2005
- Ireland, J.
- The Astrophysical Journal, Vol. 620, Issue 2
Quantification of water content by laser induced breakdown spectroscopy on Mars
journal, April 2017
- Rapin, W.; Meslin, P. -Y.; Maurice, S.
- Spectrochimica Acta Part B: Atomic Spectroscopy, Vol. 130
Bootstrapping Regression Models
journal, November 1981
- Freedman, D. A.
- The Annals of Statistics, Vol. 9, Issue 6
Review: Applications of single-shot laser-induced breakdown spectroscopy
journal, March 2010
- Michel, Anna P. M.
- Spectrochimica Acta Part B: Atomic Spectroscopy, Vol. 65, Issue 3
Uncertainties in extracted parameters of a Gaussian emission line profile with continuum background
journal, January 2009
- Minin, Serge; Kamalabadi, Farzad
- Applied Optics, Vol. 48, Issue 36
High manganese concentrations in rocks at Gale crater, Mars
journal, August 2014
- Lanza, Nina L.; Fischer, Woodward W.; Wiens, Roger C.
- Geophysical Research Letters, Vol. 41, Issue 16
Laser-Induced Breakdown Spectroscopy (LIBS), Part I: Review of Basic Diagnostics and Plasma—Particle Interactions: Still-Challenging Issues within the Analytical Plasma Community
journal, December 2010
- Hahn, David W.; Omenetto, Nicoló
- Applied Spectroscopy, Vol. 64, Issue 12
The standard error of a weighted mean concentration—I. Bootstrapping vs other methods
journal, June 1995
- Gatz, Donald F.; Smith, Luther
- Atmospheric Environment, Vol. 29, Issue 11
Laser-Induced Breakdown Spectroscopy (LIBS), Part II: Review of Instrumental and Methodological Approaches to Material Analysis and Applications to Different Fields
journal, April 2012
- Hahn, David W.; Omenetto, Nicoló
- Applied Spectroscopy, Vol. 66, Issue 4
An Interior Trust Region Approach for Nonlinear Minimization Subject to Bounds
journal, May 1996
- Coleman, Thomas F.; Li, Yuying
- SIAM Journal on Optimization, Vol. 6, Issue 2
Introduction to Plasma Spectroscopy
book, January 2009
- Kunze, Hans-Joachim
- Springer Series on Atomic, Optical, and Plasma Physics
Automated Parameter Blocking for Efficient Markov Chain Monte Carlo Sampling
journal, June 2017
- Turek, Daniel; de Valpine, Perry; Paciorek, Christopher J.
- Bayesian Analysis, Vol. 12, Issue 2
On the statistical uncertainties associated with line profile fitting
journal, October 1982
- Landman, D. A.; Roussel-Dupre, R.; Tanigawa, G.
- The Astrophysical Journal, Vol. 261
Gaussian profile estimation in one dimension
journal, January 2007
- Hagen, Nathan; Kupinski, Matthew; Dereniak, Eustace L.
- Applied Optics, Vol. 46, Issue 22
Quantitative Analysis of Aluminum Alloys by Laser-Induced Breakdown Spectroscopy and Plasma Characterization
journal, April 1995
- Sabsabi, Mohamad; Cielo, Paolo
- Applied Spectroscopy, Vol. 49, Issue 4
Influence of dust and sea-salt sandwich effect on precipitation chemistry over the Western Ghats during summer monsoon
journal, December 2019
- Yang, L.; Mukherjee, S.; Pandithurai, G.
- Scientific Reports, Vol. 9, Issue 1
Figures / Tables found in this record:
Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.