# ⚛  L1 Principle — Electrochemical Corrosion Kinetics

**ID:** `L1-339` · **Status:** ⊙ Testnet (genesis catalog)

> **🌐 Domain:** Materials Science — *Mixed-potential corrosion*
> **🎯 Problem class:** nonlinear inverse · **🧮 Solution space:** i E corrosion curves
> **📡 Carrier:** ion · **🌫 Noise:** gaussian
> **⚖ Difficulty (δ):** 3 · **⛓ Block:** 41554129

---

## 🧠 1. Introduction

**Electrochemical Corrosion Kinetics** is a **nonlinear inverse problem** whose unknown lives in **i E corrosion curves** space, within the **Mixed-potential corrosion** sub-domain of **Materials Science**.

Measurements consist of ions detected after acceleration or extraction via a **tafel eis electrochemical** sensing mechanism.

The forward operator applies, in order: E · butler volmer operator; E · mass transport operator; O · composite method operator; O · corrosion rate operator.

Observations are corrupted by additive Gaussian noise. Well-posed for simple cells; multi-metal galvanic and pitting are non-linear/multi-stable.

## ⚙ 2. Forward Model

Physical chain: **x** → E · butler volmer → E · mass transport → O · composite method → O · corrosion rate → **y** (detector).

```
y = `O.corrosion_rate` `O.composite_method` `E.mass_transport` `E.butler_volmer` x + n,    n ~ 𝒩(0, σ²)
```

**Measurement DAG:**

| Primitive | What it does |
|---|---|
| `E.butler_volmer` | E · butler volmer operator |
| `E.mass_transport` | E · mass transport operator |
| `O.composite_method` | O · composite method operator |
| `O.corrosion_rate` | O · corrosion rate operator |

## 🔬 3. Physics Fingerprint

| Property | Value |
|---|---|
| Domain | Materials Science |
| Sub domain | Mixed-potential corrosion |
| Carrier | ion |
| Problem class | nonlinear_inverse |
| Solution space | i_E_corrosion_curves |
| Noise model | gaussian |
| Integration axis | potential_time |
| Difficulty delta | 3 |
| L dag | 3.3 |

## 📡 4. Measurement Model

Well-posed for simple cells; multi-metal galvanic and pitting are non-linear/multi-stable.

| Metric | Value |
|---|---|
| Metric | i_corr_log_error |
| Secondary | Tafel_slope_error |

## 📏 5. Operating Range (Ω)

**Center problem class:** `corrosion` · **Forward operator:** `corrosion_forward`

**Center point:**

| Parameter | Unit | Value |
|---|---|---|
| Ph | — | 7 |
| T k | — | 298 |
| Cl mm | mm | 100 |
| N data | — | 200 |
| Dissolved o2 ppm | — | 8 |

**Allowed bounds:**

| Parameter | Unit | Range |
|---|---|---|
| Ph | — | 0 – 14 |
| T k | — | 273 – 373 |
| Cl mm | mm | 0 – 10000 |
| N data | — | 50 – 5000 |
| Dissolved o2 ppm | — | 0 – 50 |

## 🎯 6. Tolerance (ε)

**Center tolerance:** log10(i_corr) error <= 0.1

| Metric | Range |
|---|---|
| I corr log error | 0.02 – 1.0 |

## ⚖ 7. Hardness Function

Hardness scales as **`epsilon_fn`** on **i_corr_log_error**, with κ = `200` and δ = `3`.

## 💾 8. Reference Dataset

- **primary** · weight 1.0 · IPFS _(not pinned yet)_

## 9. On-chain Registration

- **Chain hash:** `0xba8a4cab9f747308d4fa1594eb6fbe66777bb4df3146e9b84338b82b5e8c3936`
- **Chain tx hash:** `0xb312a07c8a6fd011f3ace43a7d344be02e86a0d77f04a1bbfeea061aa735fd6e`
- **Chain block:** `41554129`

---

## File Mapping

This bundle consists of: `L1-339.md`, `L1-339.json`.

| File | Role | How to regenerate |
|------|------|-------------------|
| `L1-339.md` | Source of truth — edit this | Human or LLM |
| `L1-339.json` | Structured metadata for the registry | LLM regenerates from the sections above |

**Prompt for your LLM after editing this Markdown:**

> Read the attached Markdown. Regenerate the sibling `.json` so every field matches.
> Preserve the schema documented in the rows above.
> Output each file in its own fenced code block tagged with the filename.
> Output only the JSON object.

_This Markdown was auto-synthesized from the catalog row for `L1-339`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._