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@PHDTHESIS{Beumers:775359,
      author       = {Beumers, Peter Christoph},
      othercontributors = {Bardow, André and Bräuer, Andreas Siegfried},
      title        = {{P}hysically-based models for the analysis of {R}aman
                      spectra; 1. {A}uflage},
      volume       = {23},
      school       = {RWTH Aachen University},
      type         = {Dissertation},
      address      = {Aachen},
      publisher    = {Wissenschaftsverlag Mainz GmbH},
      reportid     = {RWTH-2019-12164},
      isbn         = {978-3-95886-319-4},
      series       = {Aachener Beiträge zur technischen Thermodynamik},
      pages        = {1 Online-Ressource (XVII, 107 Seiten) : Illustrationen,
                      Diagramme},
      year         = {2019},
      note         = {Druckausgabe: 2019. - Auch veröffentlicht auf dem
                      Publikationsserver der RWTH Aachen University 2020;
                      Dissertation, RWTH Aachen University, 2019},
      abstract     = {In recent years, spectroscopy has developed into an
                      increasingly valuable tool to determine the composition of
                      mixtures; for scientific questions as well as for the
                      industry. The increasing use of spectroscopy raises the
                      question how to best use the obtained data. For the analysis
                      of spectral data, the method of Indirect Hard Modeling (IHM)
                      has been established besides statistical methods like PLS.
                      IHM is a nonlinear method that can therefore efficiently
                      treat nonlinear effects such as peak-shifts. In the present
                      work, the IHM method is expanded to increase its
                      applicability. IHM treats nonlinear effects in the spectral
                      evaluation. Therefore, the direct proportionality between
                      the concentration and the Raman signal of a component can be
                      used for calibration. The resulting linear calibration model
                      allows for reliable extrapolation. Thus, IHM can be used to
                      study reactive systems, even if only binary subsystems can
                      be used for calibration. However, thermodynamic systems with
                      intermediates can so far only be calibrated by using
                      thermodynamic models. In this work, a method is established
                      that calibrates a reactive system with intermediates only
                      based on the reaction mechanism as well as stoichiometry and
                      electroneutrality. Spectral backgrounds, e.g., fluorescence,
                      can be treated by a spectral pretreatment or via background
                      models. However, spectral backgrounds are still a common
                      source of error in IHM. Derivatives have long been used very
                      effectively in statistical methods. Therefore, IHM is
                      adapted so that it becomes possible to evaluate the first
                      derivative of spectra. The calibration of IHM is mostly
                      limited to the relative spectral intensities of the involved
                      components. In the present work, a method is presented that
                      uses the information in the calibration spectra more
                      thoroughly. For this purpose, nonlinear effects are
                      parametrized as a function of concentration. The commonly
                      used peak profiles do not reflect the physical reality at a
                      detector very well. As a result, narrow modelled peaks may
                      change their apparent intensity if they are shifted. To
                      correct these shortcomings, a new peak model is proposed in
                      this work that is more closely aligned to the physical
                      reality of a detector.},
      cin          = {412110},
      ddc          = {620},
      cid          = {$I:(DE-82)412110_20140620$},
      typ          = {PUB:(DE-HGF)11 / PUB:(DE-HGF)3},
      doi          = {10.18154/RWTH-2019-12164},
      url          = {https://publications.rwth-aachen.de/record/775359},
}