Quantitative Broadband Optical Spectroscopy of Freestanding Ti <sub>3</sub> C <sub>2</sub> T <sub> <i>x</i> </sub> MXene Films: Unveiling Intrinsic Bulk Charge Carrier Dynamics
Bibliographic record
Abstract
Micrometer-thick freestanding MXene films offer a rare opportunity to probe intrinsic bulk optical and electronic properties without the influence of a substrate. Yet, quantitative optical constants over a broadband spectral range remain elusive due to the mechanically flexible nature of such films. Here, we report the first comprehensive far-infrared-to-ultraviolet (150–36,000 cm –1 ) optical spectroscopic study of freestanding Ti 3 C 2 T x MXene films with thicknesses of 1 and 4 μm. By a combination of attaching the freestanding films on flat and smooth brass plates and using an in situ metal-evaporation method, we obtained highly reliable reflectance spectra. Kramers–Kronig analysis, coupled with a two-Drude-Lorentz model, reveals multiple free-carrier populations at the Fermi level, yielding carrier densities of 7.31 × 10 21 and 7.50 × 10 21 cm –3 and mobilities of 8.15 and 4.98 cm 2 V –1 s –1 for the 1- and 4-μm-thick freestanding films, respectively. The spectra further identify a 1.61 eV feature arising from interband-plasmon coupling and a 3.84 eV interband transition, with small thickness dependence, highlighting the bulk-dominated plasmonic response in micrometer-scale films. This work establishes a quantitative, noncontact framework for mapping intrinsic charge dynamics in MXenes, unlocking pathways for their integration into broadband plasmonic, optoelectronic, infrared, and THz devices.
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How this classification was reachedexpand
Full frame machine prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.
Distilled classifier scores by category (both heads)
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.001 |
| Insufficient payload (model declined to judge) | 0.001 | 0.000 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from itClassification
machine, unvalidatedMachine predicted; a candidate call from one source (direct Gemma or distilled Codex), not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".