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Density functional theory is used to study the effect of asymmetric in-plane strain on various BiInO 3  phases. Structural relaxation is carried out to simulate the growth of coherently strained epitaxial films on (001) oriented orthorhombic perovskite substrates. The results are in particular analyzed with respect to commercially available substrates in order to assess the stabilization of new and fundamentally interesting BiInO 3  phases. We find that a pyroxene-like  Pcca  phase is energetically more favorable than the bulk-like  Pna2   1   structure on standard cubic substrate materials, such as SrTiO 3 . However, the presence of imaginary phonon modes suggests that this phase is dynamically instable. The bulk-like structure instead is stable over a wide range of lattice in-plane strain, but coherent growth requires substrates with unusually large lattice parameters. We suggest the use of lanthanate substrates in order to produce high-quality thin films of the bulk phase. Graphical abstract

BiInO3 phases under asymmetric in-plane strain