“…41,42,44 Further recent studies for cross-polarized excitons revealed that dark excitons, located below bright excitons in energy, become optically allowed due to weak electron-hole asymmetry. [45][46][47] Optical spectra of carbon nanotubes have been measured in various environments such as for self-assembled tubes, 3,5,[48][49][50] tubes suspended in air, 4,7,8,10,12,51 and tubes in the presence of surrounding materials such as surfactants and solvents. 1,3,6,7,9,11,[13][14][15][16]34 It has often been shown that exciton energies in the above environments are reduced in comparison with those in tubes in air or vacuum.…”