I found two peaks in each spectrum and fitted each with a Lorentzian plus a linear background. The fitted peak intensities and centers are in [lorentzian_peak_fits.csv](<BENCH>/raw/commercial/luna/bench/t-pl/run-10/lorentzian_peak_fits.csv). The two requested plots, with allometric fits for both peaks, are in [spectra_allometric_fits.png](<BENCH>/raw/commercial/luna/bench/t-pl/run-10/spectra_allometric_fits.png).

For the stronger peak near 1.33 eV, the intensity scales as \(P^{0.9126}\), with a log–log fit standard error of 0.0140. The weaker peak’s intensity exponent is \(0.508 \pm 0.083\).

RESULT: b = 0.913 ± 0.014