We show that there is a subtle instability of the T' structure for the
R(2)CuO(4) (R = rare earth) compounds at the center of the R series w
ith the boundary at Eu2CuO4. Crystals grown in Pt crucibles and PbQ fl
ux show weak ferromagnetism (WF) and two strongly temperature-dependen
t forbidden Raman peaks. However crystals grown in alumina crucibles a
nd CuO flux do not show WF and the forbidden Raman peaks are much less
intense. The observation of WF and forbidden Raman peaks for Eu2CuO4
compounds suggests that the instability of the T' structure may be ass
ociated with O(1) displacement in the CuO2 planes.