A new crystalline form of carbon based on the C$_{36}$ fullerene: Simulating its crystal and electronic structure

A new crystalline allotropic form of carbon consisting of covalently bound fullerenes C$_{36}$ of symmetry D$_{6h}$ is suggested. The structure of the unit cell of this compound was simulated. The unit-cell parameters obtained ($a=b=6.695\,$ Åand $c=6.763\,$ Å) are close to experimental data. The band structure of the spectrum of valence electrons was calculated by the method of crystal orbitals. The bandgap was found to be $\sim1.9\,$ eV. The energy-band structure of quasi-one-dimensional macromolecules $[C_{36}]_n(n\gg1)$ is discussed depending on the way in which the monomers are bound in them.