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@ARTICLE{Pourshahidi:909874,
      author       = {Pourshahidi, Ali Mohammad and Engelmann, Ulrich M. and
                      Offenhäusser, Andreas and Krause, Hans-Joachim},
      title        = {{R}esolving ambiguities in core size determination of
                      magnetic nanoparticles from magnetic frequency mixing data},
      journal      = {Journal of magnetism and magnetic materials},
      volume       = {563},
      issn         = {0304-8853},
      address      = {Amsterdam},
      publisher    = {North-Holland Publ. Co.},
      reportid     = {FZJ-2022-03483},
      pages        = {169969 -},
      year         = {2022},
      abstract     = {Frequency mixing magnetic detection (FMMD) has been widely
                      utilized as a measurement technique in magnetic
                      immunoassays. It can also be used for the characterization
                      and distinction (also known as “colourization”) of
                      different types of magnetic nanoparticles (MNPs) based on
                      their core sizes. In a previous work, it was shown that the
                      large particles contribute most of the FMMD signal. This
                      leads to ambiguities in core size determination from fitting
                      since the contribution of the small-sized particles is
                      almost undetectable among the strong responses from the
                      large ones. In this work, we report on how this ambiguity
                      can be overcome by modelling the signal intensity using the
                      Langevin model in thermodynamic equilibrium including a
                      lognormal core size distribution fL(dc,d0,σ) fitted to
                      experimentally measured FMMD data of immobilized MNPs. For
                      each given median diameter d0, an ambiguous amount of
                      best-fitting pairs of parameters distribution width σ and
                      number of particles Np with R² > 0.99 are extracted. By
                      determining the samples’ total iron mass, mFe, with
                      inductively coupled plasma optical emission spectrometry
                      (ICP-OES), we are then able to identify the one specific
                      best-fitting pair (σ, Np) one uniquely. With this
                      additional externally measured parameter, we resolved the
                      ambiguity in core size distribution and determined the
                      parameters (d0, σ, Np) directly from FMMD measurements,
                      allowing precise MNPs sample characterization.},
      cin          = {IBI-3},
      ddc          = {530},
      cid          = {I:(DE-Juel1)IBI-3-20200312},
      pnm          = {5241 - Molecular Information Processing in Cellular Systems
                      (POF4-524)},
      pid          = {G:(DE-HGF)POF4-5241},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000871107000008},
      doi          = {10.1016/j.jmmm.2022.169969},
      url          = {https://juser.fz-juelich.de/record/909874},
}