The rehybridization of electronic orbitals in carbon nanotubes

Rehybridization of electronic orbitals in carbon nanotubes contains tilting angles of $\pi $ orbital, electrons wavefunctions of $\pi $ orbital and $\sigma $ orbital, degrees of hybridization, etc. In this paper, we have obtained analytical formulas of tilting angle of $\pi $ orbital relative to tube surface, electrons wavefunctions of $\pi $ orbital and $\sigma $ orbital, degrees of hybridization, separately, as well as the numerical results.