This invention relates to a method for producing micro-domain graphitic materials by use of a plasma process, and to novel micro-conical graphitic materials. By micro-domain graphitic material we mean fullerenes, carbon nanotubes, open conical carbon structures (also named micro-cones), preferably flat graphitic sheets, or a mixture of two or all of these. The novel carbon material is open carbon micro-cones with total disclination degrees of 60.degree. and/or 120.degree., corresponding to cone angles of respectively 112.9.degree. and/or 83.6.degree..