Theoretical and quantitative structural relationships of the electrochemical and electron transfer properties of [Mx@C82]@[SWCNT(5,5)-armchair-CnH20] (x = 0, 1; for x = 1: M = Ce & Gd and n = 20-300) nanostructure complexes

The relationship between the number of carbon atoms as an index and the first and second free energies of electron transfer (ΔGet(n), n = 1, 2), as assessed using the Rehm-Weller equation on the basis of the first and second oxidation potentials (oxE1 and oxE2) of Ce@C82, Gd@C82 and C82 for the predicted supramolecular complexes, between 1-18 and 19-29 with fullerene C82 and the endohedral-metallofullerenes Ce@C82 and Gd@C82 as [Mx@C82]@[SWCNT(5,5)-armchair-CnH20] (x = 0, 1; for x = 1: M = Ce & Gd; n = 20-190) 30-47, 48-65 and 66-83 are presented. The results were extended for [Mx@C82]@[SWCNT(5,5)-armchair-CnH20] (x = 0, 1; for x = 1: M = Ce & Gd; n = 200-300 84-94, 95-105 and 106-116).