The ESA X-ray Multi Mirror mission, XMM-Newton, carries two identical Refle
ction Crating Spectrometers (RGS) behind two of its three nested sets of We
lter I type mirrors. The instrument allows high-resolution (E/DeltaE = 100
to 500) measurements in the soft X-ray range (6 to 38 Angstrom or 2.1 to 0.
3 keV) with a maximum effective area of about 140 cm(2) at 15 Angstrom. Its
design is optimized for the detection of the K-shell transitions of carbon
, nitrogen, oxygen, neon, magnesium, and silicon, as well as the L shell tr
ansitions of iron. The present paper gives a full description of the design
of the RGS and its operational modes. We also review details of the calibr
ations and in-orbit performance including the line spread function, the wav
elength calibration, the effective area, and the instrumental background.