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We report on zone center THz excitations of non-Jahn Teller LaFeO$_3$,PrFeO$_3$, ErFeO$_3$, and LuFeO$_3$ distorted perovskites under externalmagnetic fields up 7 T. Low temperature-low energy absorptions of LaFeO$_3$show antiferromagnetic and ferromagnetic quasimagnons at $\omega$AFM ~31.4 and$\omega$FM ~26.7 cm$^{-1}$ in the $\Gamma$4 (Gx, Ay, Fz) representation.LuFeO$_3$ is characterized by zero field magnetic resonances at $\omega$AFM~26.3 cm$^{-1}$ and $\omega$FM ~22.4 cm$^{-1}$ in addition to Fe$^{3+}$Zeeman-split crystal field (CF) 6A$_1$ ground transitions at ~10.4 cm$^{-1}$triggered by structural deviations induced by smaller Lu 4f$^{14}$. This localnon-centrosymmetric departure is also found in ErFeO$_3$ (Kramers 4f$^{11}$Er$^{3+}$ (4I15/2); {\Gamma}2 (Fx, Cy, Gz) <TSR ~93 K), but with the ~4cm$^{-1}$ Fe$^{3+}$ Zeeman branching strongly biased toward higher energies.Quasimagnons at $\omega$AFM ~31.5 cm$^{-1}$ and $\omega$FM ~21.5 cm$^{-1}$ inErFeO$_3$ do not undergo field induced band splits but a 13-fold increase inthe antiferro ($\omega$AMF) /ferro($\omega$AFM) intensity ratio. There is aremarkable field-dependent CF matching population balance between Fe$^{3+}$higher and Er$^{3+}$ lower Zeeman branches. Antiferro- and ferro- resonances inPrFeO$_3$ turn much broader as non-Kramers Pr$^3$ introduces ligand changes atthe A site leading into near degeneracy the antiferromagnetic mode and thelowest Pr$^{3+}$ CF transition. We conclude that low energy excitations inRFeO$_3$ (R=rare earth) strongly depend on the lanthanide ionic size. Minutelattice displacements also underlie considering non-centrosymmetric the mostdistorted RFeO$_3$ (R=rare earth). Changes triggered by the smaller rare earthand the nonlinear intrinsic oxygen ion polarizability provide grounds forinterplay of ionic and electronic interactions yielding ferroelectricspontaneous polarization.

Low temperature Terahertz Spectroscopy of LaFeO$_3$, PrFeO$_3$, ErFeO$_3$, and LuFeO$_3$: Quasimagnon resonances and ground multiplet transitions