Engineering defects and strains in oxides provides a promising route for the quest of thin film materials with coexisting ferroic orders, multiferroics, with efficient magnetoelectric coupling at room temperature. Precise control of the strain gradient would enable custom tailoring of the multiferroic properties, but presently remains challenging. Here we explore the existence of a polar-graded state in epitaxially-strained antiferromagnetic SrMnO 3 thin films, whose polar nature was predicted theoretically, and recently demonstrated experimentally. By means of aberration-corrected scanning transmission electron microscopy we map the polar rotation of the ferroelectric polarization at atomic resolution, both far from and near the domain walls and find flexoelectricity resulting from vertical strain gradients. The origin of this particular strain state is a gradual distribution of oxygen vacancies across the film thickness, according to electron energy loss spectroscopy. Herein we present a chemistry-mediated route to induce polar rotations in oxygen-deficient multiferroic films, resulting in flexoelectric polar rotations and with potentially enhanced piezoelectricity. KEYWORDS: Multiferroics, ferroelectricity, flexoelectricity, aberration-corrected STEM, domain walls. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 4 TEXT Multiferroic materials have attracted great interest recently because of their intriguing fundamental physics and the wide range of potential applications such as transducers and information storage [1][2][3] . Of particular technological impact is the search for materials showing efficient coupling between ferromagnetic and ferroelectric orders that persist at room temperature. Manganese-based perovskite oxides AMnO 3 , A being an alkaline-earth cation, are particularly promising for this purpose; theoretical calculations reveal the onset of a ferroelectric ground state with strong magnetoelectric coupling since the spontaneous polarization is expected to be driven by the off-centering of the magnetic Mn 4+ ion 4,5 . The ferroelectric instability is predicted to increase by expansion of the lattice and, in turn, strain-induced ferroelectricity was experimentally demonstrated in Ba-substituted SrMnO 3 single crystals, in which chemical expansion of the crystal lattice is caused by partially replacing Sr with larger Ba ions 6 .Alternatively, strains can be induced into films through the use of epitaxial growth and can be utilized to modify the ferroelectric film properties by an adequate choice of the substrate 7-9 . In particular, strain-engineering of multiferroism has opened a path for the e...