As a follow-up on a study of a family of boron-oxygen-nitrogen compounds composed of two datively bonded B–O–N backbones, we investigate a similar series of compounds that have similar fragments but are covalently bonded. B3LYP/6-31G(d,p) quantum mechanical calculations have been performed to determine the minimum-energy geometries, vibrational frequencies, and thermochemical properties of the parent compound and a series of nitro-substituted derivatives. Our results indicate that some of the derivatives have at least appropriate thermodynamics for possible high-energy materials, in some cases being favorable over similar dimeric compounds with coordinate covalent B–N bonds