![Power Fit]([local export path])

**Pipeline:** merged spectra (one column per power, 5–100 µW) → despiked (σ=4, 130 spikes removed) → Lorentzian fit per spectrum (window 1.23–1.45 eV) → extracted intensity & xc → allometric fit I = a·P^b.

All 15 spectra passed the **HIGH** tier (R² 0.887–0.984, median 0.981; SNR 7.6–24.0). No rescues or raw-peak fallbacks.

**Per-power Lorentzian results**

| P (µW) | Intensity (a.u.) | xc (eV) | FWHM (meV) | R² |
|---:|---:|---:|---:|---:|
| 5 | 98.8 | 1.32062 | 62.4 | 0.887 |
| 10 | 189.9 | 1.32437 | 64.4 | 0.950 |
| 15 | 267.9 | 1.32636 | 64.1 | 0.958 |
| 20 | 353.8 | 1.32783 | 62.7 | 0.968 |
| 25 | 425.2 | 1.32905 | 61.7 | 0.973 |
| 30 | 516.0 | 1.33000 | 61.3 | 0.975 |
| 35 | 564.8 | 1.33044 | 60.8 | 0.978 |
| 40 | 694.6 | 1.33152 | 59.3 | 0.981 |
| 45 | 738.5 | 1.33179 | 59.1 | 0.981 |
| 50 | 818.3 | 1.33279 | 59.0 | 0.981 |
| 60 | 935.9 | 1.33317 | 58.0 | 0.982 |
| 70 | 1140.4 | 1.33430 | 57.1 | 0.983 |
| 80 | 1264.7 | 1.33446 | 56.3 | 0.983 |
| 90 | 1538.0 | 1.33509 | 55.3 | 0.984 |
| 100 | 1714.6 | 1.33562 | 54.4 | 0.984 |

**Allometric fits**
- **Intensity vs power** — I = a·P^b: a = 16.28 ± 1.81, **b = 1.0048 ± 0.0261**, R² = 0.9951. Interpretation: ~linear (excitonic), i.e. no saturation across 5–100 µW.
- **Peak position vs power** — monotonic **blueshift** from 1.3206 → 1.3356 eV (+15.0 meV over the range), trend ≈ 5.0 meV/decade. (Reported by the tool as a log-trend/slope rather than a separate allometric b±σ; the formal allometric exponent with uncertainty comes from the intensity panel above.)

📥 [power_fit_results.csv]([local export path])

RESULT: b = 1.0048 ± 0.0261