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@ARTICLE{Lentzen:856488,
      author       = {Lentzen, Markus},
      title        = {{T}he refractive index in electron microscopy and the
                      errors of its approximations},
      journal      = {Ultramicroscopy},
      volume       = {176},
      issn         = {0304-3991},
      address      = {Amsterdam},
      publisher    = {Elsevier Science},
      reportid     = {FZJ-2018-05882},
      pages        = {139},
      year         = {2017},
      abstract     = {In numerical calculations for electron diffraction often a
                      simplified form of the electron-optical refractive index,
                      linear in the electric potential, is used. In recent years
                      improved calculation schemes have been proposed, aiming at
                      higher accuracy by including higher-order terms of the
                      electric potential. These schemes start from the
                      relativistically corrected Schrödinger equation, and use a
                      second simplified form, now for the refractive index
                      squared, being linear in the electric potential. The second
                      and higher-order corrections thus determined have, however,
                      a large error, compared to those derived from the
                      relativistically correct refractive index. The impact of the
                      two simplifications on electron diffraction calculations is
                      assessed through numerical comparison of the refractive
                      index at high-angle Coulomb scattering and of cross-sections
                      for a wide range of scattering angles, kinetic energies, and
                      atomic numbers.},
      cin          = {ER-C-1},
      ddc          = {570},
      cid          = {I:(DE-Juel1)ER-C-1-20170209},
      pnm          = {143 - Controlling Configuration-Based Phenomena (POF3-143)},
      pid          = {G:(DE-HGF)POF3-143},
      typ          = {PUB:(DE-HGF)16},
      pubmed       = {pmid:28011113},
      UT           = {WOS:000403992200019},
      doi          = {10.1016/j.ultramic.2016.10.001},
      url          = {https://juser.fz-juelich.de/record/856488},
}