I fitted each of the 15 spectra with a Lorentzian plus constant baseline, then fit the derived values to \(y=aP^b\). The peak intensity scales as \(P^{0.7345}\), with a log-space \(R^2\) of 0.9942.

The fitted peak positions all landed at the upper energy boundary (1.605702 eV), so the position allometric fit is not meaningful; the scan does not capture enough of the peak to determine its center reliably.

Files: [allometric_fits.png](<BENCH>/raw/commercial/luna/bench/t-pl/run-06/allometric_fits.png), [lorentzian_spectra_fits.png](<BENCH>/raw/commercial/luna/bench/t-pl/run-06/lorentzian_spectra_fits.png), [lorentzian_peak_results.csv](<BENCH>/raw/commercial/luna/bench/t-pl/run-06/lorentzian_peak_results.csv)

RESULT: b = 0.7345 ± 0.0156