“…The four states are named as S1 (magnetic field is up, neutral M1), S2 (magnetic field is down, neutral M1), S3 (magnetic field is up, protonation M1) and S4 (magnetic field is down, protonation M1). In effect, the hydrogen atom can be considered as a simple proton which is coupled with the nitrogen atom [26,27] (The Mulliken population shows that the hydrogen atom is almost charged with +|e|). Prior to commencing the study of transport properties of molecular system in molecular combinational circuits, we first optimize the geometrical configurations of M1, M2, and the two molecules in series using density functional theory (DFT) at the B3LYP level, [22,23] as implemented in the Gaussian package, with a 6-311G (d,p) basis set.…”