# ⚛  L1 Principle — UV-Vis Spectroscopy / Imaging (electronic absorption)

**ID:** `L1-145` · **Status:** ⊙ Testnet (genesis catalog)

> **🌐 Domain:** Spectroscopy — *Electronic-transition hyperspectral absorption*
> **🎯 Problem class:** linear inverse absorption · **🧮 Solution space:** chromophore concentration map
> **📡 Carrier:** photon · **🌫 Noise:** gaussian
> **⚖ Difficulty (δ):** 1 · **⛓ Block:** 41554228

---

## 🧠 1. Introduction

**UV-Vis Spectroscopy / Imaging (electronic absorption)** is a **linear inverse absorption** whose unknown lives in **chromophore concentration map** space, within the **Electronic-transition hyperspectral absorption** sub-domain of **Spectroscopy**.

Measurements consist of photons collected by an optical detector via a **electronic absorption** sensing mechanism.

The forward operator applies, in order: L · absorb · beerlambert operator; detector sums all spectral bands.

Observations are corrupted by additive Gaussian noise. Linear Beer-Lambert inverse; well-posed at low-to-moderate absorbance (<2 AU). Deviations at high A due to stray light, self-absorption.

## ⚙ 2. Forward Model

Physical chain: **x** → L · absorb · beerlambert → Spectral integration → **y** (detector).

```
y = Σ_λ `L.absorb.beerlambert` x + n,    n ~ 𝒩(0, σ²)
```

**Measurement DAG:**

| Primitive | What it does |
|---|---|
| `L.absorb.beerlambert` | L · absorb · beerlambert operator |
| `int.spectral` | Detector sums all spectral bands |

## 🔬 3. Physics Fingerprint

| Property | Value |
|---|---|
| Domain | Spectroscopy |
| Sub domain | Electronic-transition hyperspectral absorption |
| Carrier | photon |
| Problem class | linear_inverse_absorption |
| Solution space | chromophore_concentration_map |
| Noise model | gaussian |
| Integration axis | spectral |
| Difficulty delta | 1 |
| L dag | 2 |

## 📡 4. Measurement Model

Linear Beer-Lambert inverse; well-posed at low-to-moderate absorbance (<2 AU). Deviations at high A due to stray light, self-absorption.

| Metric | Value |
|---|---|
| Metric | concentration_NMSE |
| Secondary | classification_accuracy |

## 📏 5. Operating Range (Ω)

**Center problem class:** `uvvis_concentration` · **Forward operator:** `beerlambert_uvvis`

**Center point:**

| Parameter | Unit | Value |
|---|---|---|
| K | — | 3 |
| N lambda | — | 500 |
| Stray light | — | 0.0001 |
| Path length cm | — | 1 |
| Scatter turbidity | — | 0 |

**Allowed bounds:**

| Parameter | Unit | Range |
|---|---|---|
| K | — | 1 – 20 |
| N lambda | — | 50 – 5000 |
| Stray light | — | 0.0 – 0.01 |
| Baseline drift | — | 0.0 – 0.1 |
| Path length cm | — | 0.01 – 10 |
| Scatter turbidity | — | 0.0 – 1.0 |
| Pure component uncertainty | — | 0.0 – 0.2 |

## 🎯 6. Tolerance (ε)

**Center tolerance:** NMSE 1e-4

| Metric | Range |
|---|---|
| Nmse | 1e-06 – 0.1 |

## ⚖ 7. Hardness Function

Hardness scales as **`epsilon_fn`** on **concentration_NMSE**, with κ = `50` and δ = `1`.

## 💾 8. Reference Dataset

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

## 9. On-chain Registration

- **Chain hash:** `0xf20509c5e5adef6ceb3eabe41e4c02a666fa8614dbeb3bf449958214ab5ef232`
- **Chain tx hash:** `0x085bde6128035af783984abc9fdade10876a74309758775040104b4032c8571b`
- **Chain block:** `41554228`

---

## File Mapping

This bundle consists of: `L1-145.md`, `L1-145.json`.

| File | Role | How to regenerate |
|------|------|-------------------|
| `L1-145.md` | Source of truth — edit this | Human or LLM |
| `L1-145.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 `L1-145`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._