By analogy with QCT, the spin-transfer (ρST) can be quantified summing the atomic spin density of each atom that compose a fragment. In this sense, the ρST of the graphene fragment will reveal how corroles can generate a magnetic response over the platform. The ρST values suggest that an integer spin is transferred to graphene (Fig. ). For instance, no spin-density is transferred for C1-G, and C6-G hybrids; close to one spin was transferred for C2-G, C3-G, C4-G, and C5-G hybrids, while two spins were transferred to C7-G hybrid. Because of the π-conjugated character of graphene, the spin density is delocalized along the nanosheet, but a directional spin polarization is observed, especially for the ferromagnetic hybrids (Fig. and Fig. ). Interestingly, correlations were observed when comparing the geometrical distortion of CuN4 core (gd) with spin transfer (Fig. ). Besides, the stability descriptors are also related to spin-transfer since electronic hardness (kinetic stability), and adsorption energy (thermodynamic stability) show significant correlation parameters (Fig. ). These results suggest that the spin transfer process is associated with the structural and electronic properties of the copper corroles, indicating that spin transfer to graphene is a complex process that involves several variables. On the other hand, the magnetic response of most systems increases in terms of the absolute value, being the ferromagnetic nature more strongly favored. The C5-G hybrid shows the stronger ferromagnetic coupling of +3316 cm -1 with no overlap between corresponding magnetic orbitals (Table ). The strong ferromagnetism agrees with the low overlap between magnetic orbitals and the increase of planarity for copper corroles since the planarity of the corrole ligand supports the π-conjugation where the orbitals are orthogonal to the 3dx2-y2 proper of Cu(II) centers stabilizing the ferromagnetic states. Conversely, the C3-G hybrid displays a more robust antiferromagnetic behavior with -1869 cm -1 and a high % S 2 of magnetic orbitals reaching up to 63 %. Comparatively, a set of copper corroles adsorbed on Au reported magnetic couplings between -909 to +1784 cm -1 , suggesting that the magnetic properties of copper corroles are highly modulable by the incorporation of new substituents . These magnetic behaviors were reported for silver corroles where πconjugation also interacts with the 4dx2-y2 orbital of Ag(II), but the higher torsional angles in the distorted structure obstruct the ferromagnetic coupling. Consistently, a previous study reports the strong antiferromagnetic coupling of non-metalated corroles adsorbed onto Ag , reaching up to -2371 cm -1 .