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We present a reconstruction of the transverse acoustic phonon dispersion ofgermanium from femtosecond time-resolved x-ray diffuse scattering measurementsat the Linac Coherent Light Source. We demonstrate an energy resolution of 0.3meV with momentum resolution of 0.01 nm^-1 using 10 keV x-rays with a bandwidthof ~ 1 eV. This high resolution was achieved simultaneously for a large sectionof reciprocal space including regions closely following three of the principlesymmetry directions. The phonon dispersion was reconstructed with less thanthree hours of measurement time, during which neither the x-ray energy, thesample orientation, nor the detector position were scanned. These resultsdemonstrate how time-domain measurements can complement conventional frequencydomain inelastic scattering techniques.

Phonon Spectroscopy with Sub-meV Resolution by Femtosecond X-ray Diffuse Scattering