diamandoids have sp3 hybridised carbons,but still show electrical conductivity.
First, I am assuming that your diamonoids are grown as a film. It is likely that the grain boundaries between the individual 'diamonoids' contain significant graphitic sp2 material. If you look back to the literature of the early 1990's when researchers studied similar materials as cold-cathode electron field emitters due to their 'negative electron affinity', it was curious that such great insulators (diamonds) could emit electrons. After all, without being conductive, they would quickly become positively charged and such field emission would cease to occur. Indeed, studies on very high quality diamond films showed negligible field emitting properties. Only poor quality diamond films with lots of graphitic material in the grain boundaries were good field emitters. Seeing the need for a conductive component, researchers soon studied coating diamond films with Cs and other metals to further improve their field emission properties. Ultimately, it was determined that the sharp edges at grain boundaries provided locations for extreme field enhancement, which together with a conductive material (sp2 carbon or metal deposition), resulted in good field emitting properties. Not surprisingly, pure sp2 materials such as carbon nanotubes, both high-aspect ratio structures and electrically conductive, have turned out to be the very best field emitters. Hence, a long answer to your question is that there is most likely lots of sp2 graphitic material within the grain boundaries of your sp3 diamonoid films.
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