wfc lane: score 0.4703 (townsend-v6)

Cell — 15.9mm rod in 18.5mm tube × 101.6mm, 2 cell(s) parallel → C_eff = 6.40nF, bulk water R = 3001Ω.

Water/electrodes (Randles) — 2ppm Na+ @ 15.208333333333332°C, surface ×1 → λ_D 52nm, C_dl 76.1µF, cell series R 108.1Ω, displacement current 83.8%, breakdown margin ×129.

Fig-8 voltammetry (4,798,661) — τ_EDL 228301.1µs (10159.7 carrier cycles to charge), Faradaic leakage at peak 332.5mA (leak score 0.24 — keep amp leakage inhibited while voltage climbs the ladder).

Vapor-film discharge (CGDE onset, 609V across 0.1mm film) — regime sub-breakdown, film Paschen 662V, 243 Td — INSIDE the 3-6 eV cold-chemistry window.

Townsend α/γ — γ = 0.03 (electrode lever), criterion M = γ(e^{αd}−1) = 0.397 → SUB-CRITICAL, the target corner: avalanche multiplying, γ feedback still open, gas stays cold.

Per-molecule (series micro-capacitor chain) — 4.77M molecules across 1.29mm → 127.81 µV/molecule (polarization (µV band)).

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

At resonance f_r = 44.50kHz — Xl = 559Ω, Xc = 559Ω, tank Q = 5.1, coil Q = 278.7.

Cell voltage 609V from 120V drive (×5.1). Tank current 1.09A circulating (CW upper bound — rate wire/switch for this); average input 109mA at 10% duty.

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

Score 0.470.

Params — {"inner_d_mm":15.9,"gap_mm":1.2875,"length_mm":101.6,"cells":2,"ppm":2,"temperature_c":15.208333333333332,"surface_factor":1,"gamma_se":0.03}

Planner — doe: live [Temperature, Water gap], refined 0.470