Bent crystal spectrometer for both frequency and wavenumber resolved x-ray scattering at a seeded free-electron laser
Ulf Zastrau, Luke B. Fletcher, Eckhart Foerster, Eric Ch. Galtier,, Eliseo Gamboa, Siegfried H. Glenzer, Philipp Heimann, Heike Marschner, Bob, Nagler, Andreas Schropp, Ortrud Wehrhan, and Hae Ja Lee

TL;DR
This paper introduces a high-resolution cylindrically curved GaAs x-ray spectrometer capable of resolving frequency and wavenumber in x-ray scattering at a free-electron laser, enabling detailed plasmon studies.
Contribution
The paper presents a novel spectrometer design with unprecedented combined frequency and wavenumber resolution for x-ray scattering at free-electron lasers.
Findings
Achieved energy resolution of ΔE/E = 1.1×10^{-4}.
Covered scattering wavenumbers from 3.6 to 5.2 Å^{-1} with minimal blurring.
Validated dispersion matches predictions within 1.3%.
Abstract
We present a cylindrically curved GaAs x-ray spectrometer with energy resolution and wave-number resolution of , allowing plasmon scattering at the resolution limits of the Linac Coherent Light Source (LCLS) x-ray free-electron laser. It spans scattering wavenumbers of 3.6 to \AA\ in 100 separate bins, with only 0.34\% wavenumber blurring. The dispersion of 0.418~eV/m agrees with predictions within 1.3\%. The reflection homogeneity over the entire wavenumber range was measured and used to normalize the amplitude of scattering spectra. The proposed spectrometer is superior to a mosaic HAPG spectrometer when the energy resolution needs to be comparable to the LCLS seeded bandwidth of 1~eV and a significant range of wavenumbers must be covered in one exposure.
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