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Intramolecular circuit laws

For an electronic circuit integrated inside a molecule, the 1842 G. Kirchhoff mesh and node electrical circuit laws do not apply any more. New laws of superposition have to de taken into account. They results from the quantum character of the electron super-exchange mechanisms through a molecule.

Hereafter, the conductance of a molecule (or of a given molecular group) designates the conductance of the corresponding metal-molecule-metal nano-junction.The conductance values are all taken at low bias voltage, a bias voltage lower than the homo-lumo gap of the considered molecule.

The 4 intramolecular circuit laws are only valid for a metal-molecule-metal transparency much lower than unity. For a transparency close to unity, corrections must be added and the superposition laws are no more systematics due to specific interefence effects which can occurs in specific circuit designs, for example in a ballistic regime of transport.

Our new laws originates from the multiplication of the through bond effective electronic coupling parameter in a serial association and from their additivity in a parallel association.