wfc lane: score 0.5246 (townsend-v6)

Cell — 11.4mm rod in 12.4mm tube × 101.6mm, 1 cell(s) parallel → C_eff = 5.66nF, bulk water R = 3245Ω.

Water/electrodes (Randles) — 2ppm Na+ @ 16.666666666666664°C, surface ×0.25 → λ_D 52nm, C_dl 6.5µF, cell series R 112.8Ω, displacement current 84.1%, breakdown margin ×49.

Fig-8 voltammetry (4,798,661) — τ_EDL 21248.7µs (1004.9 carrier cycles to charge), Faradaic leakage at peak 29.4mA (leak score 0.77 — keep amp leakage inhibited while voltage climbs the ladder).

Vapor-film discharge (CGDE onset, 621V across 0.1mm film) — regime sub-breakdown, film Paschen 662V, 248 Td — INSIDE the 3-6 eV cold-chemistry window.

Townsend α/γ — γ = 0.03 (electrode lever), criterion M = γ(e^{αd}−1) = 0.487 → SUB-CRITICAL, the target corner: avalanche multiplying, γ feedback still open, gas stays cold.

Per-molecule (series micro-capacitor chain) — 1.85M molecules across 0.50mm → 335.53 µV/molecule (polarization (µV band)).

Chokes — 2 × 0.001H (100 turns, AWG 24, 12m wire, AC R 1.0Ω each).

At resonance f_r = 47.29kHz — Xl = 594Ω, Xc = 594Ω, tank Q = 5.2, coil Q = 296.2.

Cell voltage 621V from 120V drive (×5.2). Tank current 1.05A circulating (CW upper bound — rate wire/switch for this); average input 105mA at 10% duty.

No hard violations (band, wire length, dielectric, film gate M < 1 and Td ≤ 250). Average current is scored, not gated.

Score 0.525.

Params — {"inner_d_mm":11.4,"gap_mm":0.5,"length_mm":101.6,"cells":1,"ppm":2,"temperature_c":16.666666666666664,"surface_factor":0.25,"gamma_se":0.03}

Planner — doe: live [Temperature, Water gap, Rod OD], refined 0.519