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Computer Measurement of Line Strengths with Application to the Methane Spectrum

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TLDR
In this article, a computer-aided measurement of absorption line strengths from high-resolution spectra greatly improves the accuracies to which relative line strengths can be determined, by fitting simultaneously absorption line positions, strengths, linewidths, and continuum parameters.
Abstract
Computer-aided measurement of absorption line strengths from high resolution spectra greatly improves the accuracies to which relative line strengths can be determined. This article describes a computer program written for interactive use on a Prime minicomputer to fit simultaneously absorption line positions, strengths, linewidths, and continuum parameters. Application to the methane spectrum indicates that relative line strengths have been measured with accuracies of 2% or better for single isolated absorptions. Line strengths from the Q branches of the v4 and v1 + v4 bands of methane are reported and compared to calculated values given in the 1980 Air Force Geophysical Laboratory (AFGL) Compilation of Molecular Parameters.

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Journal ArticleDOI

A multispectrum nonlinear least squares fitting technique

TL;DR: In this article, an extension of the nonlinear least squares spectrum fitting technique was developed for the simultaneous fitting of multiple spectra, which can improve the determination of spectroscopic parameters.
Journal ArticleDOI

The Voigt and complex error function: A comparison of computational methods

TL;DR: For applications involving least-squares-fitting, the evaluation of the complex error function provides an efficient way to calculate both the Voigt function and its partial derivatives.
Journal ArticleDOI

nu-2 band of H2 O-16 - Line strengths and transition frequencies

TL;DR: In this paper, Fourier transform spectra of H2 O-16 were recorded with a Fourier-transform spectrometer covering transitions in the (010)-(000) band from 1066 to 2582 cm.
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Extensive Measurements of H 2 16 O Line Frequencies and Strengths: 5750 to 7965 cm -1

TL;DR: The line strengths and frequencies reported here are considered to be a marked improvement over the values listed in the 1986 edition of the HITRAN database, and a preliminarly listing from this work has been included in the 1993 HITTAN edition.
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Global analysis of the high resolution infrared spectrum of methane 12CH4 in the region from 0 to 4800 cm−1

TL;DR: In this article, the authors report the global analysis of 12CH4 lines from high-resolution rovibrational spectra including accurate line positions and intensities in the region 0-4800 cm−1.
References
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Journal ArticleDOI

Singular value decomposition and least squares solutions

TL;DR: The decomposition of A is called the singular value decomposition (SVD) and the diagonal elements of ∑ are the non-negative square roots of the eigenvalues of A T A; they are called singular values.
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Spectrum line profiles: The Voigt function

TL;DR: A review is presented of the mathematical properties of the Voigt Function and the recent literature pertaining to it, including the computational methods that have been employed, some of which have not been used before.
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Dud, A Derivative-Free Algorithm for Nonlinear Least Squares

TL;DR: The performance of the new Gauss-Newton-like algorithm, called Dud for “doesn't use derivatives”, is evaluated on a number of standard test problems from the literature and it competes favorably with even the best derivative-based algorithms.
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New apodizing functions for Fourier spectrometry

TL;DR: In this article, a new class of apodizing functions suitable for Fourier spectrometry (and similar applications) is introduced, and three specific functions are discussed in detail, and the resulting instrumental line shapes are compared to numerous others proposed for the same purpose.
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A table of the equivalent widths of isolated lines with combined Doppler and collision broadened profiles

TL;DR: In this paper, the equivalent width for lines with the Voigt contour has been evaluated numerically to an accuracy of at least four significant figures, and a table is presented from which the approximate width can be found to at least 0.40 per cent by linear interpolation.
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