After the successful synthesis of graphene/hexagonal boron nitride (h-BN) heterostructures, research works have been carried out for their plausible real-world device applications. Such 2D nanosheets gain great attention as they have shown promising gas sensing properties due to their high surface-to-volume ratio and unique electronic properties between graphene and h-BN. Herein, we report a first-principles density functional theory investigation of the structural and electronic properties of pristine graphene (PG), pristine BN, and their in-plane heterostructures employing B3LYP and dispersion-corrected van der Waals functional WB97XD with the 6-311G (d, p) basis set. We found that these predicted nanosheets show good structural stability with favorable cohesive energy and the bandgap gradually increases with the increase in the B-N concentration. We have also studied their adsorption properties toward toxic gas molecules (SO₂ and CO). Among these heterostructures, G2BN2 exhibits greater adsorption energy of about -0.237 eV and -0.335 eV when exposed to SO₂ and CO gas molecules, respectively. The electronic properties such as HOMO and LUMO energies, HOMO-LUMO energy gap, Fermi level, work function, and conductivity significantly changed after the adsorption of SO₂ gas on the nanosheets except for PG, whereas these parameters remain almost the same after the adsorption of the CO gas molecule. Mulliken and natural bond orbital (NBO) charge analysis reveals that charge transfer occurs from gas molecules to the nanosheets except when SO₂ is adsorbed onto PG. Although the adsorption energies for CO gas are slightly greater than those for SO₂ gas for these nanosheets, all other investigations such as electronic properties, charge transfer analysis, molecular electrostatic potential (MEP) map, and global indices predict that these nanosheets are good sensors for SO₂ gas than CO gas molecules.

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