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000637725 1001_ $$0P:(DE-H253)PIP1088525$$aModregger, Peter$$b0
000637725 245__ $$aUltimate sensitivity in X-ray diffraction: angular moments versus shot noise
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000637725 520__ $$aThe sensitivity of x-ray diffraction experiments towards Bragg peak parameters constitutes a crucial performance attribute of experimental setups. Frequently, diffraction peaks are characterized by model-free angular moment analysis, which offers a greater versatility compared to traditional model-based peak fitting. Here, we have determined the ultimate sensitivity of angular moments for diffraction data that is limited by photon shot noise. We report experimentally achieved sensitivities of the first moment below $1/1000$th of a detector pixel and below $1\mu$rad. We have demonstrated the validity of our theoretical predictions by an excellent agreement with experimental results from three different setups. The provided formulas for the uncertainties of angular moments allow for the rapid determination of experimentally achieved sensitivities from single diffraction frames.
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000637725 7001_ $$aWittwer, Felix$$b1
000637725 7001_ $$aKhaliq, Ahmar$$b2
000637725 7001_ $$0P:(DE-H253)PIP1093068$$aPyrlik, Niklas$$b3
000637725 7001_ $$aBall, James A. D.$$b4
000637725 7001_ $$0P:(DE-H253)PIP1013228$$aGarrevoet, Jan$$b5
000637725 7001_ $$0P:(DE-H253)PIP1002716$$aFalkenberg, Gerald$$b6
000637725 7001_ $$aLiehr, Alexander$$b7
000637725 7001_ $$0P:(DE-H253)PIP1081708$$aStuckelberger, Michael$$b8
000637725 773__ $$0PERI:(DE-600)2020879-0$$a10.1107/S1600576725006715$$gVol. 58, no. 5$$n5$$pNNN$$tJournal of applied crystallography$$v58$$x0021-8898$$y2025
000637725 7870_ $$0PUBDB-2025-00863$$aModregger, Peter et.al.$$d2025$$iIsParent$$rarXiv:2502.17977$$tUltimate Sensitivity in X-ray Diffraction: Angular Moments vs. Shot Noise
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