Electronic properties of bucky tube modelled by a sheet of helical graphite cylinder named “grahelix” have been examined based on the one-dimensional tight-binding crystal orbital method in the framework of the Hückel approximation. It has been found that there are two types of grahelix depending on the helical pitch, that is, one is energetically stable and semiconductive whereas the other less stable with metallic nature. Moreover we elucidate that such metallic tubes are equivalent to those involving plural numbers of isolated cis-type polyacetylene skeletons arranged mostly in a helical manner on the tube surface. Such helical polyacetylene skeletons guarantee the metallic conduction path to the electons near the Fermi level (spiralons). Control of the flow of these spiralons may open up a stage for nanotechnology of the electronic devices such as molecular solenoid applicable to molecular electromagnet, molecular electric generator and so on.
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