Accurate pair-anisotropy models out of a set of input experimental moments via a novel non-linear inversion method

We report a useful multiparameter Newton–Raphson method, yielding accurate pair‐anisotropy models from a set of low‐order experimental spectral moments. The method is applied to the depolarized binary collision‐induced scattering spectrum of argon. Its reliability is established through comparison b...

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Bibliographic Details
Published in:Journal of Raman spectroscopy 2005-02, Vol.36 (2), p.158-164
Main Authors: Chrysos, M., Dixneuf, S.
Format: Article
Language:English
Subjects:
Argon
collision-induced scattering
Inversions
Mathematical models
Newton-Raphson method
non-linear inversion method
Nonlinearity
Pair-anisotropy model
Scattering
Spectra
Wavenumber
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Summary:We report a useful multiparameter Newton–Raphson method, yielding accurate pair‐anisotropy models from a set of low‐order experimental spectral moments. The method is applied to the depolarized binary collision‐induced scattering spectrum of argon. Its reliability is established through comparison between the (Ar)2 experimental spectrum, previously recorded by our group over a broad wavenumber domain, and quantum‐mechanical profiles whose inputs are various pair‐anisotropy models. Copyright © 2005 John Wiley & Sons, Ltd.
ISSN:0377-0486
1097-4555
DOI:10.1002/jrs.1285