The file contains a single workbook **Book1** with 15 power columns (5–100 µW) and an energy axis in eV. Suggested fit range: 1.23–1.45 eV. Data is already merged.

**Step 1 — Despike (mandatory before any fit):**



130 cosmic-ray spikes removed across all 15 columns. Data written back.

**Step 2 — Lorentzian fit + allometric (power-law) fit on I(P) and xc(P):**



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

## Results

**Lorentzian fits** — all 15 spectra (5–100 µW) converged to Tier HIGH quality:
- R² range: 0.887 – 0.984 (median 0.981)
- FWHM: 54–64 meV
- Peak position: 1.3206 → 1.3356 eV (blueshift of ~15 meV over the full power range)

**Allometric fit (I = a·P^b)** on peak intensity vs power:

| Parameter | Value |
|-----------|-------|
| a | 16.28 ± 1.81 |
| **b** | **1.0048 ± 0.0261** |
| R² | 0.995 |
| N points | 15 / 15 |

Interpretation: **b ≈ 1.00 → linear (excitonic) regime.** Intensity scales proportionally with excitation power, indicating no significant saturation or Auger recombination in this power range.

📥 [power_fit_results.csv]([file link removed])

RESULT: b = 1.0048 ± 0.0261