LiCrO2 is a 2D triangular antiferromagnet, isostructural with the common battery material LiCoO2 and a well-known Jahn-Teller antiferromagnet NaNiO2. As opposed to the latter, LiCrO2 exibits antiferromagnetic exchange in Cr planes, which has been ascribed to direct Cr-Cr d − d overlap. Using LDA and LDA+U first principles calculations I confirm this conjecture and show that (a) direct d − d overlap is indeed enhanced compared to isostructural Ni and Cr compounds, (b) p − d charge transfer gap is also enhanced, thus suppressing the ferromagnetic superexchange, (c) the calculated magnetic Hamiltonian maps well onto the nearest neighbors Heisenberg exchange model and (d) interplanar inteaction is antiferromagnetic.The series of compounds with a common formula AM O 2 , where A is an alkaline or noble metal, usually Li or Na, and M is a 3d metal, formed by triangular M O 2 layers stacked hexagonally (e.g., LiCoO 2 ) or rhombohedrally (e.g., LiNiO 2 ) with full or partial intercalation by A, has been attracting considerable recent interest, largely driven by the immense importance of the LiCoO 2 compound in electrochemical industry and by the unconventional superconductivity discovered in the hydrated Na 1/3 CoO 2 . The nickelates, LiNiO 2 , NaNiO 2 , AgNiO 2 , Ag 2 NiO 2 have been also subject of numerous studies, mostly because of their magnetic properties coupled with interesting structural transformations. However, chromates, such as LiCrO 2 , NaCrO 2 , and KCrO 2 , despite their potential use for rechargeable batteries[1] and as catalists [2] have been studied experimentally only sporadically [3,4,5,6,7,8], and no first principle calculations, to the best of my knowledge, have been reported so far.In this paper I report all-electron full-potential electronic structure calculations for LiCrO 2 . In agreement with the experimental findings, the magnetic interaction in-plane is found to be strongly antiferromagnetic. Interplane magnetic interaction is very weak and also antiferromagnetic. The total energy calculations for three different collinear magnetic configurations map perfectly well onto the standard nearest-neighbor Heisenberg model. As conjectured in the first experimental papers[3] the main reason for switching the in-plane magnetic interactions from ferromagnetic in LiNiO 2 to antiferromagnetic in LiCrO 2 is mainly the enhanced direct overlap between the metal d−orbitals in chromates, while, additionally, the increased charge-transfer p − d gap reduces the ferromagnetic superexchange in chromates as well [9]. Finally I will discuss the role of Coulomb correlations as revealed by LDA+U calculations.LiCrO 2 crystallizes in a rhombohedral R3m structure [4] with the lattice parameters a = 2.898 A, c = 14.423Å, and with the O height z O = 0.261. Its magnetic structure is close to the ideal 120 o structure characteristic of the nearest neighbor Heisenberg model on a triangular plane. The computational results reported below were obtained using the standard full-potential linearized augmented plane wave code WIE...