A method is disclosed for producing graphenic materials by templated growth along a preformed graphenic material lattice edge, wherein at least one of the graphenic material or template is translated during growth of the graphenic material. A method for preparing CNTs from preformed CNT substrates in the presence of cylindrical templating structures and a reactive carbon source in a fluid phase is also disclosed, wherein at least one of the CNT substrate or the cylindrical templating structure is translated during addition of carbon atoms to the CNT substrate. A method is also disclosed for preparing CNTs from preformed CNT substrates in the presence of cylindrical templating structures and a carbon source in a fluid phase, wherein non-thermalized excited states are produced on the CNT substrate and at least one of the CNT substrate or the cylindrical templating structure is translated during addition of carbon atoms to the CNT substrate.