The file has one workbook (`Book1`) with the energy axis in column A and 15 merged power spectra in columns 1–15 (5→100 µW). Suggested fit range is 1.23–1.45 eV.

Per protocol, I must despike before any fit. Doing that now.



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

**Pipeline:** despiked (130 cosmic-ray spikes removed across all 15 columns) → Lorentzian fit on every power spectrum (window 1.23–1.45 eV) → extracted intensity + xc per power → allometric fit. All 15 fits converged at **HIGH** quality (R² = 0.887–0.984).

**Allometric fit — intensity panel (I = a·Pᵇ):**
- a = 16.28 ± 1.81
- **b = 1.0048 ± 0.0261**, R² = 0.995 → *~linear (excitonic)*, i.e. no exciton saturation up to 100 µW.

**Peak-position panel (xc vs P):** monotonic **blueshift** from 1.3206 eV (5 µW) to 1.3356 eV (100 µW), ≈ 15 meV total, ≈ 5.0 meV/decade.

**Per-power Lorentzian results:**

| Power (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  | 1.32998 | 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 |

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

RESULT: b = 1.0048 ± 0.0261