L1 ⚛ L1-145 ⊙ Testnet

UV-Vis Spectroscopy / Imaging (electronic absorption)

Spectroscopy · Electronic-transition hyperspectral absorption

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⬇ L1-145.md

# ⚛ 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._

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Read the attached Markdown (L1-145.md).
Regenerate L1-145.json so every field matches the Markdown.
Preserve the schema documented in the File Mapping footer at the bottom of the MD.
Output each file in its own fenced code block tagged with the filename.

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L2-145-001 UV-Vis Concentration Spec

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📋 JSON metadata

{
  "artifact_id": "L1-145",
  "chain_block": 41554228,
  "chain_hash": "0xf20509c5e5adef6ceb3eabe41e4c02a666fa8614dbeb3bf449958214ab5ef232",
  "chain_tx_hash": "0x085bde6128035af783984abc9fdade10876a74309758775040104b4032c8571b",
  "domain": "Spectroscopy",
  "hardness_fn": {
    "delta": 1,
    "kappa": 50,
    "metric": "concentration_NMSE",
    "type": "epsilon_fn"
  },
  "initiator_dataset": [
    {
      "ipfs_cid": null,
      "license_hash": null,
      "name": "primary",
      "weight": 1.0
    }
  ],
  "layer": "L1",
  "observable_profile": {
    "metric": "concentration_NMSE",
    "regime": "Linear Beer-Lambert inverse; well-posed at low-to-moderate absorbance (\u003c2 AU). Deviations at high A due to stray light, self-absorption.",
    "secondary": "classification_accuracy"
  },
  "physics_fingerprint": {
    "L_DAG": 2.0,
    "carrier": "photon",
    "difficulty_delta": 1,
    "domain": "Spectroscopy",
    "integration_axis": "spectral",
    "noise_model": "gaussian",
    "primitives": [
      "L.absorb.beerlambert",
      "int.spectral"
    ],
    "problem_class": "linear_inverse_absorption",
    "sensing_mechanism": "electronic_absorption",
    "solution_space": "chromophore_concentration_map",
    "sub_domain": "Electronic-transition hyperspectral absorption",
    "title": "UV-Vis Spectroscopy / Imaging (electronic absorption)"
  },
  "size_tiers": {
    "allowed_forward_operators": [
      "beerlambert_uvvis",
      "uvvis_imaging"
    ],
    "allowed_omega_dimensions": [
      "N_lambda",
      "K",
      "path_length_cm",
      "stray_light",
      "scatter_turbidity",
      "pure_component_uncertainty",
      "baseline_drift"
    ],
    "allowed_problem_classes": [
      "uvvis_concentration",
      "uvvis_classification",
      "blind_uvvis_demix"
    ],
    "center_spec": {
      "epsilon_fn_center": "NMSE 1e-4",
      "forward_operator": "beerlambert_uvvis",
      "input_format": "absorbance_spectrum",
      "omega": {
        "K": 3,
        "N_lambda": 500,
        "path_length_cm": 1.0,
        "scatter_turbidity": 0.0,
        "stray_light": 0.0001
      },
      "problem_class": "uvvis_concentration"
    },
    "epsilon_bounds": {
      "nmse": [
        1e-06,
        0.1
      ]
    },
    "omega_bounds": {
      "K": [
        1,
        20
      ],
      "N_lambda": [
        50,
        5000
      ],
      "baseline_drift": [
        0.0,
        0.1
      ],
      "path_length_cm": [
        0.01,
        10
      ],
      "pure_component_uncertainty": [
        0.0,
        0.2
      ],
      "scatter_turbidity": [
        0.0,
        1.0
      ],
      "stray_light": [
        0.0,
        0.01
      ]
    }
  },
  "staked_pwm": 0.0,
  "status": "testnet",
  "sub_domain": "Electronic-transition hyperspectral absorption",
  "title": "UV-Vis Spectroscopy / Imaging (electronic absorption)"
}

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