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Classical Logic in a Single Molecule

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Book cover Architecture and Design of Molecule Logic Gates and Atom Circuits

Part of the book series: Advances in Atom and Single Molecule Machines ((AASMM))

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Abstract

The mesh and node circuit rules required to design an intramolecular electronic circuit are discussed. Adapting a standard diode logic circuit structure, OR, AND and XOR unimolecular logic gates are designed. The full multichannel electronic scattering matrix of those molecule circuits are calculated using our EHMO-NESQC technique [1] in accordance with those new quantum circuit superposition rules [2] and taking into account the chemisorption of the molecule on the contacting pads at the end of the input branches. For a Molecule-XOR gate to work, a non-linear transduction effect was introduced using a semiclassical model [10, 11] to describe the inelastic coupling between the electron transfer process through the molecule-XOR and the soft molecule conformation mode used to generate the XOR truth table. The calculated logic surface is very close to the ideal XOR Boolean truth table. We also report another application of our node and mesh intramolecular circuit laws [2] in balancing a 4-branch molecule Wheatstone bridge.

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Correspondence to Mohamed Hliwa .

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Hliwa, M., Joachim, C. (2013). Classical Logic in a Single Molecule. In: Lorente, N., Joachim, C. (eds) Architecture and Design of Molecule Logic Gates and Atom Circuits. Advances in Atom and Single Molecule Machines. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33137-4_9

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