Editing Openai/6897769e-4ee4-800f-aba5-69cca34f701c (section)

=== Assistant: I can run the calculation now — I just need to confirm one practical point before I start. ===
I can run the calculation now — I just need to confirm one practical point before I start.

I do not have live web access from this session to pull high-precision refractive-index tables (Hale & Querry / refractiveindex.info). I can proceed immediately using a standard analytic dispersion model (a Cauchy / simple Sellmeier approximation for liquid water) so we get a first, illustrative result showing the effect size and trends. Later we can replace the dispersion with the high-precision tabulated n(λ) and re-run to get the final, publication-quality numbers.

Please confirm which of these two options you prefer:

A) Run now with an approximate analytic dispersion model for water (fast; gives robust qualitative results and likely correct order-of-magnitude for Δθ).
B) Wait while I fetch high-precision n(λ) tables and then run (more accurate; requires web data).

If you choose A (quick run), please confirm the spectra you want tested. I suggest the default set below unless you want changes:

• Continuous (Planck) spectra at T = 3000 K and T = 5800 K (Sun).
• Narrow atomic emission lines: Hα (656.28 nm), Hβ (486.13 nm), Na D doublet (589.0 & 589.6 nm). (Lines modelled as narrow Gaussians with small σ, or delta functions.)
• A sample plasma emission set: [O III] 500.7 nm and an example He II line (468.6 nm) — or I can pick a plasma set you prefer.
• Mixtures: Planck + single strong line (vary amplitude) to see how strong a line must be to shift the mean by ~0.47°.

I will:
# compute the rainbow-style scattering angle θ(λ) for a spherical water droplet using the standard primary-rainbow ray-deviation stationary point method, across 350–900 nm;
# compute the spectrum-weighted mean angle θˉ\bar\thetaθˉ for each S(λ) and the difference Δθ = θˉ−θG\bar\theta - \theta_Gθˉ−θG (θ_G = golden angle in degrees);
# show plots of θ(λ), S(λ) choices, and report Δθ numeric results and a short interpretation.

Which option do you want — A (approximate, run now) or B (wait for high-precision data)? And do the suggested spectral lines and temperatures look good, or would you like to change/add any lines?