![Power Fit]([file link removed])

## Results — Lorentzian Power-Dependence Analysis

**Pipeline:** despike (σ=4, 130 spikes removed) → Lorentzian fit on all 15 spectra (1.23–1.45 eV) → allometric fit I = a·P^b

### Per-spectrum fits (all Tier-HIGH, R² = 0.887–0.984)

| Power (µW) | xc (eV) | FWHM (meV) | Intensity (counts) | R² |
|---|---|---|---|---|
| 5 | 1.3206 | 62.4 | 98.8 | 0.887 |
| 10 | 1.3244 | 64.4 | 189.9 | 0.950 |
| 15 | 1.3264 | 64.1 | 267.9 | 0.958 |
| 20 | 1.3278 | 62.7 | 353.8 | 0.968 |
| 25 | 1.3290 | 61.7 | 425.2 | 0.973 |
| 30 | 1.3300 | 61.3 | 516.0 | 0.975 |
| 35 | 1.3304 | 60.8 | 564.8 | 0.978 |
| 40 | 1.3315 | 59.3 | 694.6 | 0.981 |
| 45 | 1.3318 | 59.1 | 738.5 | 0.981 |
| 50 | 1.3328 | 59.0 | 818.3 | 0.981 |
| 60 | 1.3332 | 58.0 | 935.9 | 0.982 |
| 70 | 1.3343 | 57.1 | 1140.4 | 0.983 |
| 80 | 1.3345 | 56.3 | 1264.7 | 0.983 |
| 90 | 1.3351 | 55.3 | 1538.0 | 0.984 |
| 100 | 1.3356 | 54.4 | 1714.6 | 0.984 |

### Allometric fit — Intensity panel (I = a·P^b)

- **a** = 16.28 ± 1.81
- **b** = 1.0048 ± 0.0261
- R² = 0.995 (15 points)
- Interpretation: **~linear (excitonic regime)** — intensity scales proportionally with excitation power

### Peak-position panel (xc vs P)

- Trend: **blueshift** of ~15 meV from 5→100 µW (4.99 meV/decade)
- xc shifts from 1.3206 eV (5 µW) to 1.3356 eV (100 µW)
- No saturation visible in this range

📥 [Download full results CSV]([file link removed])

RESULT: b = 1.0048 ± 0.0261