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We have used muon-spin rotation, heat capacity and x-ray diffractionmeasurements in combination with density functional theory and dipole fieldcalculations to investigate the crystal and magnetic structure ofFeTi$_2$O$_5$. We observe a long range ordered state below $T_{\rm N}$=41.8(5)K with indications of significant correlations existing above this temperature.We determine candidate muon stopping sites in this compound, and find that ourdata are consistent with the spin Jahn-Teller driven antiferromagnetic groundstate with $\boldsymbol{k}$=(1/2,1/2,0) reported for CoTi$_2$O$_5$ ($T_{\rmN}$=26 K). By comparing our data with calculated dipolar fields we can restrictthe possible moment size and directions of the Fe$^{2+}$ ions.

FeTi$_2$O$_5$: a spin Jahn-Teller transition enhanced by cation substitution