Graphene is a two-dimensional sheet of pure carbon, one atom thick, with great technological promise because of its remarkably high electron mobility, thermal conductivity and mechanical strength. It also manifests surprising quantum mechanical properties that have led to strong attention from theorists and metrologists. The isolation of freestanding sheets of graphene in 2004 led to the award of the 2010 Physics Nobel Prize. QMNC members have a range of interests involving graphene: production by exfoliation and subsequent chemical functionalization (Brown): theory, especially anomalous van der Waals forces and cohesive properties (Gould, Dobson); gas absorption on/in graphenics, functionalised graphene sensors (Gray, Webb); bottom-up synthesis of graphene and graphenics, optoelectronic properties of nanographenes, chemical sensing (Li); graphene for micro/nano-electronics, growing graphene from Si-supported SiC surface for microelectronic applications (Wang, Iacopi, Dimitrijev). The synergies between these interests will lead to unique contributions from the Centre.