We performed calculations based on collinear and non-collinear spin density functional theory to investigate magnetic and electronic properties of new room-temperature polar magnetic compounds AFeO 3 (A = Sc, In). Exchange and correlation effects were simulated by standard local spin density approximation and the generalized gradient approximation. We determined that the canted G-type antiferromagnetic (G-AFM) structure of the Fe spin moments is the most stable magnetic structure for both compounds, in accordance with experimental facts. The calculated Fe spin magnetic moments and resulting weak ferromagnetic components perpendicular to the c-axis also agree well with the experiment. The magnitude of the Fe spin moment does not depend on the fact if the G-AFM structure is collinear or canted. The energy difference between these two structures is found to be much larger for InFeO 3 , so as the exchange interaction constant J nn between nearest-neighbor magnetic Fe ions. The ScFeO 3 and InFeO 3 electronic structures, which reproduce well their magnetic properties are presented and discussed. By comparing them with the band structures of some typical multiferroics, we conclude that different electronic mechanisms should be responsible for their ferroelectric distortion. In ScFeO 3 , the cause of this distortion should be attributed to the hybridization between almost empty Sc 3d and occupied O 2p states along the hexagonal c-axis. For InFeO 3 , however, the stereochemical activity of the In 5s localized electrons should be the principal driving force for ferroelectric distortion. K E Y W O R D S DFT calculations, electronic structure, magnetic properties, multiferroics 1 | INTRODUCTION Multiferroic (MF) materials have been the subject of extensive experimental and theoretical investigations so far, mainly because of their promising features toward technological innovation for functional devices. [1][2][3][4][5][6][7][8][9][10] They exhibit at least two ferroic orders, for example, (anti-)ferromagnetism and ferroelectricity, in a single-phase, and can be classified according to the origin of magnetic and ferroelectric ordering. [1,2,6] In type-I MF materials, ferroelectric and magnetic orders arise independently and the magnetoelectric coupling is usually weak. This is the case of hexagonal manganites (RMnO 3 , R = Y, In, Sc and Ho-Lu), [11,12] hexagonal ferrites (RFeO 3 , R = rare-earths) [13] and rhombohedral bismuth ferrite (BiFeO 3 with R3c crystalline symmetry). [14] Conversely, in type-II, MF specific magnetic order induces ferroelectric distortion, and these materials exhibit a strong magnetoelectric coupling, as in the case of orthorhombic rare-earth manganites (RMnO 3 , R = rare-earths). [15,16] Among all cited MF materials, the ones who exhibit both ferroelectric (FE) and antiferromagnetic (AFM) orders above room temperature are very rare (the BiFeO 3 is one example). As exactly these materials are the most interesting for applications, recent reports about new roomtemperature polar magnets, such as corundu...