Abstract: An electrode includes a conductive substrate and a plurality of conductive structures providing a compressible matrix of material. An active material is formed in contact with the plurality of conductive structures. The active material includes a volumetrically expanding material which expands during ion diffusion such that the plurality of conductive structures provides support for the active material and compensates for volumetric expansion of the active material to prevent damage to the active material.

Abstract: An apparatus and method for forming a patterned graphene layer on a substrate. One such method includes forming at least one patterned structure of a carbide-forming metal or metal-containing alloy on a substrate, applying a layer of graphene on top of the at least one patterned structure of a carbide-forming metal or metal-containing alloy on the substrate, heating the layer of graphene on top of the at least one patterned structure of a carbide-forming metal or metal-containing alloy in an environment to remove graphene regions proximate to the at least one patterned structure of a carbide-forming metal or metal-containing alloy, and removing the at least one patterned structure of a carbide-forming metal or metal-containing alloy to produce a patterned graphene layer on the substrate, wherein the patterned graphene layer on the substrate provides carrier mobility for electronic devices.

Abstract: A graphene nanomesh based charge sensor and method for producing a graphene nanomesh based charge sensor. The method includes generating multiple holes in graphene in a periodic way to create a graphene nanomesh with a patterned array of multiple holes, passivating an edge of each of the multiple holes of the graphene nanomesh to allow for functionalization of the graphene nanomesh, and functionalizing the passivated edge of each of the multiple holes of the graphene nanomesh with a chemical compound that facilitates chemical binding of a receptor of a target molecule to the edge of one or more of the multiple holes, allowing the target molecule to bind to the receptor, causing a charge to be transferred to the graphene nanomesh to produce a graphene nanomesh based charge sensor for the target molecule.

Abstract: A graphene nanomesh based charge sensor and method for producing a graphene nanomesh based charge sensor. The method includes generating multiple holes in graphene in a periodic way to create a graphene nanomesh with a patterned array of multiple holes, passivating an edge of each of the multiple holes of the graphene nanomesh to allow for functionalization of the graphene nanomesh, and functionalizing the passivated edge of each of the multiple holes of the graphene nanomesh with a chemical compound that facilitates chemical binding of a receptor of a target molecule to the edge of one or more of the multiple holes, allowing the target molecule to bind to the receptor, causing a charge to be transferred to the graphene nanomesh to produce a graphene nanomesh based charge sensor for the target molecule.

Abstract: An apparatus and method for forming a patterned graphene layer on a substrate. One such method includes forming at least one patterned structure of a carbide-forming metal or metal-containing alloy on a substrate, applying a layer of graphene on top of the at least one patterned structure of a carbide-forming metal or metal-containing alloy on the substrate, heating the layer of graphene on top of the at least one patterned structure of a carbide-forming metal or metal-containing alloy in an environment to remove graphene regions proximate to the at least one patterned structure of a carbide-forming metal or metal-containing alloy, and removing the at least one patterned structure of a carbide-forming metal or metal-containing alloy to produce a patterned graphene layer on the substrate, wherein the patterned graphene layer on the substrate provides carrier mobility for electronic devices.