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We report zero field muon spin relaxation (muSR) measurements on RFeAsO withR = La, Ce, Pr, and Sm. We study the interaction of the FeAs and R (rare earth)electronic systems in the non superconducting magnetically ordered parentcompounds of RFeAsO{1-x}Fx superconductors via a detailed comparison of thelocal hyperfine fields at the muon site with available Moessbauer spectroscopyand neutron scattering data. These studies provide microscopic evidence of longrange commensurate magnetic Fe order with the Fe moments not varying by morethan 15 % within the series RFeAsO with R = La, Ce, Pr, and Sm. At lowtemperatures, long range R magnetic order is also observed. Different combinedFe and R magnetic structures are proposed for all compounds using the muon sitein the crystal structure obtained by electronic potential calculations. Ourdata point to a strong effect of R order on the iron subsystem in the case ofdifferent symmetry of Fe and R order parameters resulting in a Fe spinreorientation in the R ordered phase in PrFeAsO. Our symmetry analysis provesthe absence of collinear Fe--R Heisenberg interactions in RFeAsO. A strongFe--Ce coupling due to non--Heisenberg anisotropic exchange is found in CeFeAsOwhich results in a large staggered Ce magnetization induced by the magneticallyordered Fe sublattice far above T_N{Ce}. Finally, we argue that the magneticR--Fe interaction is probably not crucial for the observed enhancedsuperconductivity in RFeAsO{1-x}Fx with a magnetic R ion.

Interplay of Rare Earth and Iron magnetism in RFeAsO with R = La, Ce, Pr, and Sm: A muon spin relaxation study and symmetry analysis