All the covered research topics provide important fundamental knowledge for the natural sciences, but also for applications in molecular electronics, superconductivity, catalysis, photovoltaics and medical diagnostics. The current nanocarbon research activities have particularly high application potential in the conversion of solar energy, future molecular memories, non-conventional materials for optoelectronics,and new treatments for civilization diseases. Offering a truly up-to-date critical survey of nanocarbon science, its concepts and highlights, it follows the concept of a handbook: it addresses key topics systematically, from historical background, methodological aspects, current important issues, and application potential, all supplied with extensive referencing. With individual chapters written by leading experts with extensive research experience, it is a comprehensive reference resource for graduate students and active researchers alike.