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@ARTICLE{Modregger:624394,
      author       = {Modregger, Peter and Wittwer, Felix and Khaliq, Ahmar and
                      Pyrlik, Niklas and Ball, James A. D. and Garrevoet, Jan and
                      Falkenberg, Gerald and Liehr, Alexander and Stuckelberger,
                      Michael},
      title        = {{U}ltimate {S}ensitivity in {X}-ray {D}iffraction:
                      {A}ngular {M}oments vs. {S}hot {N}oise},
      reportid     = {PUBDB-2025-00863, arXiv:2502.17977},
      year         = {2025},
      abstract     = {The sensitivity of x-ray diffraction experiments towards
                      Bragg peak parameters constitutes a crucial performance
                      attribute of experimental setups. Frequently, diffraction
                      peaks are characterized by model-free angular moment
                      analysis, which offers a greater versatility compared to
                      traditional model-based peak fitting. Here, we have
                      determined the ultimate sensitivity of angular moments for
                      diffraction data that is limited by photon shot noise. We
                      report experimentally achieved sensitivities of the first
                      moment below $1/1000$th of a detector pixel and below
                      $1\mu$rad. We have demonstrated the validity of our
                      theoretical predictions by an excellent agreement with
                      experimental results from three different setups. The
                      provided formulas for the uncertainties of angular moments
                      allow for the rapid determination of experimentally achieved
                      sensitivities from single diffraction frames.},
      cin          = {FS-PETRA / DOOR ; HAS-User / USiegen},
      cid          = {I:(DE-H253)FS-PETRA-20140814 / I:(DE-H253)HAS-User-20120731
                      / I:(DE-H253)USiegen-20120814},
      pnm          = {632 - Materials – Quantum, Complex and Functional
                      Materials (POF4-632) / 6G3 - PETRA III (DESY) (POF4-6G3) /
                      05K22PS2 - Schnelle Röntgennanodiffraktion (BMBF-05K22PS2)
                      / FS-Proposal: I-20231255 (I-20231255)},
      pid          = {G:(DE-HGF)POF4-632 / G:(DE-HGF)POF4-6G3 /
                      G:(DE-Ds200)BMBF-05K22PS2 / G:(DE-H253)I-20231255},
      experiment   = {EXP:(DE-H253)P-P06-20150101},
      typ          = {PUB:(DE-HGF)25},
      eprint       = {2502.17977},
      howpublished = {arXiv:2502.17977},
      archivePrefix = {arXiv},
      SLACcitation = {$\%\%CITATION$ = $arXiv:2502.17977;\%\%$},
      url          = {https://bib-pubdb1.desy.de/record/624394},
}