This work concerns the effect of frequency redistribution on X-ray laser be
ams. The redistribution function, calculated by extending the frequency flu
ctuation model to 2-photon processes, shows coherent scattering and a redis
tributed contribution. The spectral emissivity, corrected in order to accou
nt for this effect, is calculated for X-ray lasers, the amplifier plasma be
ing composed either of neon-like germanium ions or hydrogen-like carbon ion
s. The coupled radiative transfer equation and population equations are sol
ved consistently, and the intensity of the X-ray laser output is given for
two 3p-3s lines (19.6 and 23.6 nm) of neon-like germanium. We also study th
e variation with plasma length (i.e. line intensity) of the emissivity of t
he C5+ Balmer-a lasing line. The physical conditions of the calculations ar
e obtained from a modelling of experiments conducted at the Rutherford Appl
eton Laboratory.