I treated each power column as one spectrum and fit the dominant peak in 1.265–1.415 eV with a Lorentzian plus linear background. “Intensity” below is the fitted Lorentzian height above the background.

| Power (µW) | Peak intensity (a.u.) | Peak position xc (eV) |
|---:|---:|---:|
| 5 | 130.38 | 1.316304 |
| 10 | 236.13 | 1.321567 |
| 15 | 335.52 | 1.323886 |
| 20 | 423.84 | 1.325720 |
| 25 | 520.90 | 1.326992 |
| 30 | 624.42 | 1.328042 |
| 35 | 697.68 | 1.328645 |
| 40 | 827.00 | 1.330027 |
| 45 | 891.27 | 1.330261 |
| 50 | 991.18 | 1.331334 |
| 60 | 1190.42 | 1.331834 |
| 70 | 1390.55 | 1.333218 |
| 80 | 1583.16 | 1.333402 |
| 90 | 1817.02 | 1.334104 |
| 100 | 2096.30 | 1.334746 |

The allometric model was \(y=A P^b\), fitted by linear regression in log space. The fitted exponents are \(b=0.9196\pm0.0124\) for peak intensity and \(b=0.004530\pm0.000090\) for peak position; uncertainties are regression standard errors.

Files: [allometric plots](<<BENCH>/raw/commercial/luna-high/bench/t-pl/run-01/allometric_fits.png>), [Lorentzian fit plot](<<BENCH>/raw/commercial/luna-high/bench/t-pl/run-01/lorentzian_fits.png>), [peak results CSV](<<BENCH>/raw/commercial/luna-high/bench/t-pl/run-01/lorentzian_peak_results.csv>).

RESULT: b = 0.9196 ± 0.0124