▎ 摘　　要

NOVELTY - Method-I of producing graphene, comprises irradiating solid graphite oxide (GO) or solution of GO with microwave radiation. USE - The methods are useful for producing graphene and nanocatalysts for catalyzing chemical cross-coupling of at least two reactants of interest (all claimed). ADVANTAGE - The method is carried out in the absence of chemical reducing agents and solvents, hence the method is environmentally friendly and economical. The graphene and nanocatalysts are substantially free of residual contaminants. The methods provide recyclable, high efficiency Pd nanocatalysts, and high quality graphene in rapid and simple manner. DETAILED DESCRIPTION - INDEPENDENT CLAIMS are also included for: (1) method-II of catalyzing chemical cross-coupling of at least two reactants of interest, comprising providing a palladium (Pd) catalyst comprising nanoparticulate Pd supported on graphene, where Pd catalyst is produced by irradiating a mixture of GO and Pd metal with microwave radiation, and combining the reactants of interest in the presence of the Pd catalyst and under conditions which allow the Pd catalyst to catalyze the chemical cross-coupling of the reactants of interest; and (2) the catalyst comprising metal nanoparticles supported on graphene, where the metal nanoparticles are substantially evenly distributed on the graphene.