Structural relationships and theoretical study of the free energies of electron transfer, electrochemical properties, and electron transfer kinetic of cephalosporin antibiotics derivatives with fullerenes in nanostructure of [R]ÁC n (R 5 cefadroxil, cefepime, cephalexin, cefotaxime, cefoperazone and ceftriaxone) supramolecular complexes Avat Arman Taherpour • Doreena Narian • Arezou Taherpour (n = 1-4) were also calculated for these complexes in accordance with the Marcus theory. In this study, was presented the calculated wavelengths (k (n) ; n = 1-4; in nm) of the photoelectron transfer process as well in the nanostructure complexes.