1：Experimental Design and Method Selection:

The study used polarization-dependent optical absorption spectroscopy to investigate cross-polarized excitons in aligned (6,5) SWCNT films. Theoretical models for nematic order parameters and optical absorption in anisotropic molecular ensembles were employed.

2：Sample Selection and Data Sources:

A macroscopic film of highly aligned single-chirality (6,5) SWCNTs was prepared from an aqueous suspension purified using pH-controlled gel chromatography. The sample had an estimated chirality purity of 99.3%.

3：3%. List of Experimental Equipment and Materials:

3. List of Experimental Equipment and Materials: Equipment included a tungsten-halogen lamp (Thorlabs, SLS201L), Glan-Thompson polarizer, monochromators (Horiba/JY Triax320 and Princeton Instruments SP-2150), CCD camera (Princeton Instruments Spec-10), InGaAs detector array (Princeton Instruments OMA V InGaAs System), objective lens (Mitutoyo M Plan NIR 50), vacuum filtration system with polycarbonate filter membrane, and gel beads (GE Healthcare Sephacryl S-200 HR). Materials included SWCNTs (Sigma-Aldrich Signis SG65i), surfactants (sodium cholate, sodium dodecyl sulfate, sodium deoxycholate), and solvents.

4：Experimental Procedures and Operational Workflow:

The SWCNT suspension was prepared and purified, then used to create an aligned film via vacuum filtration. Polarization-dependent transmission spectra were measured with light polarized at various angles relative to the nanotube alignment direction, using spectrometers to cover visible and near-infrared ranges. Data were analyzed by fitting attenuation spectra with Lorentzian and polynomial functions.

5：Data Analysis Methods:

Spectral analysis involved fitting attenuation spectra with Lorentzian peaks for exciton transitions and a polynomial baseline. Integrated intensities and nematic order parameters were calculated to quantify the E12/E21 exciton properties.