It has been observed that the superconducting properties of the La2CuO
4+x (x less than or equal to 0.04) system depend substantially on how
the excess oxygen is distributed in the sample: uniformly or in a mann
er which results in the formation of a new phase. Precise measurements
of the magnetic susceptibility of oxygenated La2CuO4+x crystals, comb
ined with data found previously, lead to a revision of the phase diagr
am of this system. (C) American Institute of Physics.