# 📐  L2 Spec — Drift-Diffusion Semiconductor Transport (TCAD) Mismatch-Only Spec

**ID:** `L2-488-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-488`](/artifact/l1/L1-488)

> **🎯 Tolerance (ε):** expression
> **⚖ Difficulty score:** 0.45 · **Delta tier:** 5
> **⛓ On-chain block:** 41554133

---

## 1. Domain Ω

**Type:** `range`

| Parameter | Unit | Range |
|---|---|---|
| T k | — | 200 – 500 |
| Mesh n | N | 32 – 512 |
| N a cm3 | — | 1000000000000000.0 – 100000000000000000000 |
| N d cm3 | — | 1000000000000000.0 – 100000000000000000000 |
| T ox nm | nm | 0.5 – 20 |
| L channel nm | nm | 5 – 1000 |

## 2. Tolerance (ε)

**Type:** `fn`

```
0.025 + 0.005*abs(log10(N_D_cm3/1e18)) + 0.002*abs(T_K-300)/10
```

## 3. Difficulty

| Property | Value |
|---|---|
| Difficulty score | 0.45 |
| Delta tier | 5 |

## 4. Fingerprint

`bc0fe7fa75422780ea43f34d512a501a536e0a4fea1211be25dd73d9fe72294e`

## 5. On-chain Registration

- **Chain hash:** `0x846b46a2c12a9dae57fdcfe8f6a5ed3abbcecf3d6c85ff7d137445efe2e4c8b0`
- **Chain tx hash:** `0xe46924cc2069aa15496bc4d96c817391f093f911bf1af664f3f1ee24fb49dc38`
- **Chain block:** `41554133`

---

## File Mapping

This bundle consists of: `L2-488-001.md`, `L2-488-001.json`.

| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-488-001.md` | Source of truth — edit this | Human or LLM |
| `L2-488-001.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 `L2-488-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._