In the last two decades, various new forms of nanoscale carbon materials, including fullerenes and carbon nanotubes, have been discovered, synthesized and manufactured. These are promising materials for many industrial fields associated with nanotechnologies because of their unique electronic, electromagnetic, thermal, optical and mechanical properties. In the context of increasing scientific knowledge and a growing number of technical terms in the field of nanotechnologies (see Bibliography), the purpose of this part of DIN ISO/TS 80004 (DIN SPEC 52400) is to define important terms and concepts for carbon nano-objects in a precise and consistent manner, in order to clarify their interrelationship, as well as their relationship to existing terms previously used for conventional carbon materials. This part of DIN ISO/TS 80004 belongs to a multi-part vocabulary covering the different aspects of nanotechnologies. Most of the definitions in this part of DIN ISO/TS 80004 are deliberately determined so as to be in harmony with the rational hierarchical system of terminology under development for nanotechnologies, although in some cases the hierarchical approach needs to be compromised due to the specific usage of individual terms. The Committee responsible for this standard is NA 062-08-17-01 UA "Terminology" of Working Committee NA 062-08-17 AA "Nanotechnologien" ("Nanotechnologies") at DIN.