# 📐  L2 Spec — DLVO Colloidal Force Theory Mismatch-Only Spec

**ID:** `L2-478-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-478`](/artifact/l1/L1-478)

> **🎯 Tolerance (ε):** expression
> **⚖ Difficulty score:** 0.45 · **Delta tier:** 5
> **⛓ On-chain block:** 41555303

---

## 1. Domain Ω

**Type:** `range`

| Parameter | Unit | Range |
|---|---|---|
| T k | — | 273 – 373 |
| I mm | mm | 0.1 – 1000 |
| R nm | nm | 10 – 5000 |
| Psi 0 mv | — | -120 – 120 |
| A hamaker zj | — | 0.5 – 20.0 |

## 2. Tolerance (ε)

**Type:** `fn`

```
0.25 + 0.02*log10(I_mM/10) + 0.01*roughness_nm
```

## 3. Difficulty

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

## 4. Fingerprint

`08245ca7dc730291288a77924758a9bb5f71f14c89678b3035e4de180bdde892`

## 5. On-chain Registration

- **Chain hash:** `0xd8d8df31fb13eb36f0bc614f0dd094a283d918fce10664ed13a400fbba34cdde`
- **Chain tx hash:** `0x92e80a15630b186537731e374e1ddb8b4c09db27fe8ecd9ac7f05d9ecb5d4550`
- **Chain block:** `41555303`

---

## File Mapping

This bundle consists of: `L2-478-001.md`, `L2-478-001.json`.

| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-478-001.md` | Source of truth — edit this | Human or LLM |
| `L2-478-001.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 `L2-478-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._