Balancing a four-branch-single-molecule nanoscale Wheatstone bridge

Using the extended Huckel molecular orbital-N elastic scattering quantum chemistry technique, the scattering electronic properties of four- and two-electrode monomolecular Wheatstone bridges are discussed. Simple intramolecular circuit rules are given for the design of an intramolecular electronic circuit integrated in a single molecule. The balancing condition of the four-electrode monomolecular Wheatstone bridge is provided. The value of the tuning resistance of the bridge is the same applying the new tunnel circuit rules and the standard Kirchhoff node and mesh laws. Only the way of reaching the equilibrium of the bridge is different.