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Phonon spectra of detwinned {SrFe$_2$As$_2$} crystals, as measured byinelastic x-ray scattering, show clear anisotropy accompanying themagneto-structural transition at 200 K. We model the mode splitting usingmagnetic DFT calculations, including a phenomenological reduction inforce-constant anisotropy that can be attributed to magnetic fluctuations. Thisserves as a starting point for a general model of phonons in this materialapplicable to both magnetic and non-magnetic phase. Using this model, themeasured splitting in the magnetic phase below $\it T_{N}$, and the measuredphonon linewidth, we set a lower bound on the mean magnetic fluctuationfrequency above $\it T_{N}$ at 210 K.

Effect of magnetism on lattice dynamics in SrFe$_2$As$_2$ as seen via high resolution inelastic x-ray scattering