“…This study aims to show the numerical equivalence of the adiabatic and diabatic representations in nuclear motion calculations of rovibronic energies and spectral properties for two selected diatomic systems, represented by two coupled electronic states: yttrium oxide (YO) and carbon monohydride (CH) molecules illustrated in Figure . YO shows avoided crossings between the B 2 Σ + , D 2 Σ + and A 2 Π, C 2 Π states as described by Yurchenko et al YO has broad scientific interest, having been observed in stellar spectra, − and found use in solar furnaces , and magneto-optical traps. , YO is a complex system showing many low-lying electronic states; accurate descriptions of its avoided crossings will be valuable to works in several fields. CH is one of the most studied free radicals because it occurs in such a wide variety of environments: it has been observed in flames, , solar − and stellar spectra, − spectra of comets, ISM, − and molecular clouds …”