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ABSTRACT  The dense cores of X‐ray emitting gaseous haloes of large elliptical galaxies with temperatures   kT ≲ 0.8  keV  show two prominent Fe  xvii  emission features, which provide a sensitive diagnostic tool to measure the effects of resonant scattering. We present here high‐resolution spectra of five bright nearby elliptical galaxies, obtained with the reflection grating spectrometers (RGS) on the  XMM‐Newton  satellite. The spectra for the cores of four of the galaxies show the Fe  xvii  line at 15.01 Å being suppressed by resonant scattering. The data for NGC 4636 in particular allow the effects of resonant scattering to be studied in detail and to prove that the 15.01 Å line is suppressed only in the dense core and not in the surrounding regions. Using deprojected density and temperature profiles for this galaxy obtained with the  Chandra  satellite, we model the radial intensity profiles of the strongest resonance lines, accounting for the effects of resonant scattering, for different values of the characteristic turbulent velocity. Comparing the model to the data, we find that the isotropic turbulent velocities on spatial scales smaller than ≈1 kpc are less than 100 km s −1  and the turbulent pressure support in the galaxy core is smaller than 5 per cent of the thermal pressure at the 90 per cent confidence level, and less than 20 per cent at 95 per cent confidence. Neglecting the effects of resonant scattering in spectral fitting of the inner 2 kpc core of NGC 4636 will lead to underestimates of the chemical abundances of Fe and O by ∼10–20 per cent.

Constraints on turbulent pressure in the X‐ray haloes of giant elliptical galaxies from resonant scattering