Structure found: single workbook `Book1`/`Sheet1`, x-axis in eV, **15 power columns** (5–100 µW), already merged per power. No Si reference folder present. `suggested_x_range = [1.23, 1.45]`.

Data is already merged per power, so no merge step needed. Despiking first (mandatory before any fit).






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

Lorentzian fits converged on **all 15 power levels** (Tier HIGH, R² = 0.887–0.984, all kept in both panels). Data were despiked first (130 cosmic-ray spikes removed). Integration window 1.23–1.45 eV.

**Per-power Lorentzian results**

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

**Allometric fit — Intensity vs Power** (left panel, $I = a\,P^{b}$):
- $a = 16.28 \pm 1.81$, $b = 1.0048 \pm 0.0261$, R² = 0.995 → **~linear (excitonic)** regime, no saturation over 5–100 µW.

**Peak-position fit — xc vs Power** (right panel):
- Monotonic **blueshift** from 1.3206 eV (5 µW) to 1.3356 eV (100 µW), total Δ ≈ 15 meV, ≈ 5.0 meV/decade. Modelled with a saturating (renormalization-type) curve rather than a bare power law, since a strict $y=a\,x^{b}$ is unphysical for a bounded transition energy.

📥 Full data + fits: [power_fit_results.csv]([file link removed])

RESULT: b = 1.0048 ± 0.0261