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@ARTICLE{Hopfenmller:847921,
      author       = {Hopfenmüller, Bernhard and Zorn, Reiner and Holderer, Olaf
                      and Ivanova, Oxana and Lehnert, Werner and Lüke, Wiebke and
                      Ehlers, Georg and Jalarvo, Niina and Schneider, Gerald J.
                      and Monkenbusch, Michael and Richter, Dieter},
      title        = {{F}ractal diffusion in high temperature polymer electrolyte
                      fuel cell membranes},
      journal      = {The journal of chemical physics},
      volume       = {148},
      number       = {20},
      issn         = {1089-7690},
      address      = {Melville, NY},
      publisher    = {American Institute of Physics},
      reportid     = {FZJ-2018-03242},
      pages        = {204906 -},
      year         = {2018},
      abstract     = {The performance of fuel cells depends largely on the proton
                      diffusion in the proton conducting membrane, the core of a
                      fuel cell. High temperature polymer electrolyte fuel cells
                      are based on a polymer membrane swollen with phosphoric acid
                      as the electrolyte, where proton conduction takes place. We
                      studied the proton diffusion in such membranes with neutron
                      scattering techniques which are especially sensitive to the
                      proton contribution. Time of flight spectroscopy and
                      backscattering spectroscopy have been combined to cover a
                      broad dynamic range. In order to selectively observe the
                      diffusion of protons potentially contributing to the ion
                      conductivity, two samples were prepared, where in one of the
                      samples the phosphoric acid was used with hydrogen replaced
                      by deuterium. The scattering data from the two samples were
                      subtracted in a suitable way after measurement. Thereby
                      subdiffusive behavior of the proton diffusion has been
                      observed and interpreted in terms of a model of fractal
                      diffusion. For this purpose, a scattering function for
                      fractal diffusion has been developed. The fractal diffusion
                      dimension dw and the Hausdorff dimension df have been
                      determined on the length scales covered in the neutron
                      scattering experiments},
      cin          = {JCNS-FRM-II / Neutronenstreuung ; JCNS-1 / JCNS-SNS / IEK-3
                      / JCNS-2},
      ddc          = {540},
      cid          = {I:(DE-Juel1)JCNS-FRM-II-20110218 /
                      I:(DE-Juel1)JCNS-1-20110106 / I:(DE-Juel1)JCNS-SNS-20110128
                      / I:(DE-Juel1)IEK-3-20101013 / I:(DE-Juel1)JCNS-2-20110106},
      pnm          = {135 - Fuel Cells (POF3-135) / 6215 - Soft Matter, Health
                      and Life Sciences (POF3-621)},
      pid          = {G:(DE-HGF)POF3-135 / G:(DE-HGF)POF3-6215},
      experiment   = {EXP:(DE-MLZ)SPHERES-20140101},
      typ          = {PUB:(DE-HGF)16},
      pubmed       = {pmid:29865825},
      UT           = {WOS:000433950200052},
      doi          = {10.1063/1.5018717},
      url          = {https://juser.fz-juelich.de/record/847921},
}