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@ARTICLE{Goerigk:166154,
      author       = {Goerigk, Guenter Johannes},
      title        = {{T}he {S}olution of the {E}igenvector {P}roblem in
                      {S}ynchrotron {R}adiation {B}ased {A}nomalous
                      {S}mall-{A}ngle {X}-{R}ay {S}cattering},
      journal      = {Advances in linear algebra $\&$ matrix theory},
      volume       = {3},
      number       = {4},
      issn         = {2165-333X},
      address      = {Irvine, Calif.},
      publisher    = {Scientific Research Publ.},
      reportid     = {DESY-2014-01084},
      pages        = {59-68},
      year         = {2013},
      abstract     = {In the last three decades Synchrotron radiation became an
                      indispensable experimental tool for chemical and structural
                      analysis of nano-scaled properties in solid state physics,
                      chemistry, materials science and life science thereby
                      rendering the explanation of the macroscopic behavior of the
                      materials and systems under investigation. Especially the
                      techniques known as Anomalous Small-Angle X-ray Scattering
                      provide deep insight into the materials structural
                      architecture ac- cording to the different chemical
                      components on lengths scales starting just above the atomic
                      scale (≈1 nm) up to sev- eral 100 nm. The techniques
                      sensitivity to the different chemical components makes use
                      of the energy dependence of the atomic scattering factors,
                      which are different for all chemical elements, thereby
                      disentangling the nanostructure of the different chemical
                      components by the signature of the elemental X-ray
                      absorption edges i.e. by employing synchro- tron radiation.
                      The paper wants to focus on the application of an algorithm
                      from linear algebra in the field of synchro- tron radiation.
                      It provides a closer look to the algebraic prerequisites,
                      which govern the system of linear equations es- tablished by
                      these experimental techniques and its solution by solving
                      the eigenvector problem. The pair correlation functions of
                      the so-called basic scattering functions are expressed as a
                      linear combination of eigenvectors.},
      cin          = {DOOR},
      ddc          = {510},
      cid          = {I:(DE-H253)HAS-User-20120731},
      pnm          = {DORIS Beamline B1 (POF2-54G13)},
      pid          = {G:(DE-H253)POF2-B1-20130405},
      experiment   = {EXP:(DE-H253)D-B1-20150101},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:00},
      doi          = {10.4236/alamt.2013.34012},
      url          = {https://bib-pubdb1.desy.de/record/166154},
}