wfc lane: score 0.4616 (townsend-v6)

Cell — 15.9mm rod in 19.1mm tube × 101.6mm, 2 cell(s) parallel → C_eff = 5.07nF, bulk water R = 2948Ω.

Water/electrodes (Randles) — 2ppm Na+ @ 25°C, surface ×1 → λ_D 53nm, C_dl 72.6µF, cell series R 140.6Ω, displacement current 81.7%, breakdown margin ×181.

Fig-8 voltammetry (4,798,661) — τ_EDL 214190.0µs (10707.6 carrier cycles to charge), Faradaic leakage at peak 292.9mA (leak score 0.27 — keep amp leakage inhibited while voltage climbs the ladder).

Vapor-film discharge (CGDE onset, 529V across 0.1mm film) — regime sub-breakdown, film Paschen 662V, 211 Td — INSIDE the 3-6 eV cold-chemistry window.

Townsend α/γ — γ = 0.03 (electrode lever), criterion M = γ(e^{αd}−1) = 0.109 → SUB-CRITICAL, the target corner: avalanche multiplying, γ feedback still open, gas stays cold.

Per-molecule (series micro-capacitor chain) — 5.93M molecules across 1.60mm → 89.23 µV/molecule (polarization (µV band)).

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

At resonance f_r = 49.99kHz — Xl = 628Ω, Xc = 628Ω, tank Q = 4.4, coil Q = 313.1.

Cell voltage 529V from 120V drive (×4.4). Tank current 0.84A circulating (CW upper bound — rate wire/switch for this); average input 84mA at 10% duty.

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

Score 0.462.

Params — {"inner_d_mm":15.9,"gap_mm":1.6,"length_mm":101.6,"cells":2,"ppm":2,"temperature_c":25,"surface_factor":1,"gamma_se":0.03}

Planner — incumbent voided under townsend-v6: base grid