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We study phonons in MgB2 using inelastic x-ray scattering (1.6 and 6 meV resolution). We clearly observe the softening and broadening of the crucial E2g mode through the Kohn anomaly along ΓM, in excellent agreement with ab initio calculations. Low temperature measurements (just above and below Tc) show negligible changes for the momentum transfers investigated and no change in the E2g mode at A between room temperature and 16 K. We report the presence of a longitudinal mode along ΓA near in energy to the E2g mode that is not predicted by theory.
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