# 📐  L2 Spec — Electron Energy Loss Spectroscopy (EELS) Mismatch-Only Spec

**ID:** `L2-090-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-090`](/artifact/l1/L1-090)

> **🎯 Tolerance (ε):** expression
> **⚖ Difficulty score:** 0.48 · **Delta tier:** 5
> **⛓ On-chain block:** 41554188

---

## 1. Domain Ω

**Type:** `range`

| Parameter | Unit | Range |
|---|---|---|
| H | px | 64 – 2048 |
| W | px | 64 – 2048 |
| Kv | — | 80 – 300 |
| N e | — | 256 – 8192 |
| Pixel nm | nm | 0.1 – 10 |
| Edge overlap | — | 0.0 – 0.3 |
| Peak electrons | — | 10 – 5000 |
| Zero loss drift | — | 0.0 – 5.0 |
| Plural scattering | — | 0.0 – 0.5 |

## 2. Tolerance (ε)

**Type:** `fn`

```
15.0 + 2.5 * log10(peak_electrons / 10) - 0.5 * zero_loss_drift - 10.0 * plural_scattering
```

## 3. Difficulty

| Property | Value |
|---|---|
| Difficulty score | 0.48 |
| Delta tier | 5 |

## 4. Fingerprint

`12a4b9b3ee1646090ef2cf2a5110cfae9b3b95549cd82cef61a329f00815b126`

## 5. On-chain Registration

- **Chain hash:** `0x7b67be81f84f3072a6a7da4cc899683643bc2209d46e21a6080d4edeff4921c4`
- **Chain tx hash:** `0x979086e28ee6bb76b694222dd7276bc62dd88156d0d47428633b92736a4f3bf3`
- **Chain block:** `41554188`

---

## File Mapping

This bundle consists of: `L2-090-001.md`, `L2-090-001.json`.

| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-090-001.md` | Source of truth — edit this | Human or LLM |
| `L2-090-001.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 `L2-090-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._