wfc lane: score 0.4958 (townsend-v6)

Cell — 15.9mm rod in 16.9mm tube × 101.6mm, 2 cell(s) parallel → C_eff = 16.71nF, bulk water R = 1723Ω.

Water/electrodes (Randles) — 2ppm Na+ @ 3.458333°C, surface ×0.25 → λ_D 51nm, C_dl 19.6µF, cell series R 72.5Ω, displacement current 82.7%, breakdown margin ×56.

Fig-8 voltammetry (4,798,661) — τ_EDL 33841.9µs (931.7 carrier cycles to charge), Faradaic leakage at peak 72.8mA (leak score 0.57 — keep amp leakage inhibited while voltage climbs the ladder).

Vapor-film discharge (CGDE onset, 557V across 0.1mm film) — regime sub-breakdown, film Paschen 662V, 222 Td — INSIDE the 3-6 eV cold-chemistry window.

Townsend α/γ — γ = 0.03 (electrode lever), criterion M = γ(e^{αd}−1) = 0.169 → 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 → 300.83 µV/molecule (polarization (µV band)).

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

At resonance f_r = 27.53kHz — Xl = 346Ω, Xc = 346Ω, tank Q = 4.6, coil Q = 172.4.

Cell voltage 557V from 120V drive (×4.6). Tank current 1.61A circulating (CW upper bound — rate wire/switch for this); average input 161mA at 10% duty.

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

Score 0.496.

Params — {"inner_d_mm":15.9,"gap_mm":0.5,"length_mm":101.6,"cells":2,"ppm":2,"temperature_c":3.458333,"surface_factor":0.25,"gamma_se":0.03}

Planner — doe: live [Temperature, Water gap, Electrode surf.], refined 0.502