# 📐 L2 Spec — Electron Backscatter Diffraction (EBSD) — crystallographic orientation mapping Mismatch-Only Spec
**ID:** `L2-089-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-089`](/artifact/l1/L1-089)
> **🎯 Tolerance (ε):** expression
> **⚖ Difficulty score:** 0.48 · **Delta tier:** 5
> **⛓ On-chain block:** 41554187
---
## 1. Domain Ω
**Type:** `range`
| Parameter | Unit | Range |
|---|---|---|
| H | px | 256 – 4096 |
| W | px | 256 – 4096 |
| Kv | — | 10 – 30 |
| Step nm | nm | 10 – 1000 |
| Peak electrons | — | 20 – 2000 |
| Pattern center drift | — | 0.0 – 0.1 |
| Grain boundary ambiguity | — | 0.0 – 0.3 |
| Band contrast degradation | — | 0.0 – 0.5 |
## 2. Tolerance (ε)
**Type:** `fn`
```
0.3 - 0.2 * log10(peak_electrons / 20) + 10.0 * pattern_center_drift + 1.5 * band_contrast_degradation
```
## 3. Difficulty
| Property | Value |
|---|---|
| Difficulty score | 0.48 |
| Delta tier | 5 |
## 4. Fingerprint
`a8da2c951cd23d6ad799f1e0b8ad2077de20755e3ed3ad9cbe6bd90a277e7c2b`
## 5. On-chain Registration
- **Chain hash:** `0xa8f13be3fd3c5fef46e91454b77b85b015d4564a0d54ba46bca282391cd9648c`
- **Chain tx hash:** `0x624619444429393c079d0cda6a26dafbd52f2e44a3feb90ee0935a550ceae0e6`
- **Chain block:** `41554187`
---
## File Mapping
This bundle consists of: `L2-089-001.md`, `L2-089-001.json`.
| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-089-001.md` | Source of truth — edit this | Human or LLM |
| `L2-089-001.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 `L2-089-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._