L1 ⚛ L1-148 ⊙ Testnet

Isotope-Ratio Mass Spectrometry (IRMS)

Spectroscopy · High-precision stable-isotope measurement

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Markdown — human-readable source of truth

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⬇ L1-148.md

# ⚛ L1 Principle — Isotope-Ratio Mass Spectrometry (IRMS) **ID:** `L1-148` · **Status:** ⊙ Testnet (genesis catalog) > **🌐 Domain:** Spectroscopy — *High-precision stable-isotope measurement* > **🎯 Problem class:** ratio estimation · **🧮 Solution space:** isotope ratio scalar > **📡 Carrier:** ion · **🌫 Noise:** gaussian plus drift > **⚖ Difficulty (δ):** 2 · **⛓ Block:** 41554228 --- ## 🧠 1. Introduction **Isotope-Ratio Mass Spectrometry (IRMS)** is a **ratio estimation** whose unknown lives in **isotope ratio scalar** space, within the **High-precision stable-isotope measurement** sub-domain of **Spectroscopy**. Measurements consist of ions detected after acceleration or extraction via a **magnetic sector ms** sensing mechanism. The forward operator applies, in order: L · disperse · mass operator; detector accumulates flux over the exposure window. Observations are corrupted by gaussian plus drift. Ratio-metric measurements are self-correcting for flow/pressure drifts; amplifier nonlinearity and peak tailing are dominant error sources at 0.01-0.1 permil level. ## ⚙ 2. Forward Model Physical chain: **x** → L · disperse · mass → Temporal integration → **y** (detector). ``` y = ∫_t dt `L.disperse.mass` x ``` **Measurement DAG:** | Primitive | What it does | |---|---| | `L.disperse.mass` | L · disperse · mass operator | | `int.temporal` | Detector accumulates flux over the exposure window | ## 🔬 3. Physics Fingerprint | Property | Value | |---|---| | Domain | Spectroscopy | | Sub domain | High-precision stable-isotope measurement | | Carrier | ion | | Problem class | ratio_estimation | | Solution space | isotope_ratio_scalar | | Noise model | gaussian_plus_drift | | Integration axis | temporal | | Difficulty delta | 2 | | L dag | 2 | ## 📡 4. Measurement Model Ratio-metric measurements are self-correcting for flow/pressure drifts; amplifier nonlinearity and peak tailing are dominant error sources at 0.01-0.1 permil level. | Metric | Value | |---|---| | Metric | delta_RMSE_permil | | Secondary | precision_permil | ## 📏 5. Operating Range (Ω) **Center problem class:** `bulk_irms_delta` · **Forward operator:** `sector_irms_forward` **Center point:** | Parameter | Unit | Value | |---|---|---| | Mass pair | — | 45 – 44 | | N replicate | — | 6 | | Isotope pair | — | 13C12C | | Peak tailing | — | 0.0001 | | Memory effect | — | 0.001 | | Amp nonlinearity | — | 1e-05 | **Allowed bounds:** | Parameter | Unit | Range | |---|---|---| | Flow drift | — | 0.0 – 0.05 | | N replicate | — | 1 – 100 | | Peak tailing | — | 0.0 – 0.01 | | Memory effect | — | 0.0 – 0.1 | | Amp nonlinearity | — | 0.0 – 0.001 | | Sample size mismatch | — | 0.0 – 0.5 | ## 🎯 6. Tolerance (ε) **Center tolerance:** 0.05 permil RMSE | Metric | Range | |---|---| | Rmse permil | 0.005 – 10 | ## ⚖ 7. Hardness Function Hardness scales as **`epsilon_fn`** on **delta_RMSE_permil**, with κ = `50` and δ = `2`. ## 💾 8. Reference Dataset - **primary** · weight 1.0 · IPFS _(not pinned yet)_ ## 9. On-chain Registration - **Chain hash:** `0x5a451a09d507219dfc23982ffb32a081b7374a92abfa9373c2eebb0826c6c3be` - **Chain tx hash:** `0xfce7e4d6a071dbda13b030ced6f32481bdf4a87289d7cef70095239c44d48f31` - **Chain block:** `41554228` --- ## File Mapping This bundle consists of: `L1-148.md`, `L1-148.json`. | File | Role | How to regenerate | |------|------|-------------------| | `L1-148.md` | Source of truth — edit this | Human or LLM | | `L1-148.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 `L1-148`._ _Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._

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Read the attached Markdown (L1-148.md).
Regenerate L1-148.json so every field matches the Markdown.
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Output each file in its own fenced code block tagged with the filename.

⌥ Hierarchy

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L2-148-001 IRMS delta-value Spec (bracketing family)

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📋 JSON metadata

{
  "artifact_id": "L1-148",
  "chain_block": 41554228,
  "chain_hash": "0x5a451a09d507219dfc23982ffb32a081b7374a92abfa9373c2eebb0826c6c3be",
  "chain_tx_hash": "0xfce7e4d6a071dbda13b030ced6f32481bdf4a87289d7cef70095239c44d48f31",
  "domain": "Spectroscopy",
  "hardness_fn": {
    "delta": 2,
    "kappa": 50,
    "metric": "delta_RMSE_permil",
    "type": "epsilon_fn"
  },
  "initiator_dataset": [
    {
      "ipfs_cid": null,
      "license_hash": null,
      "name": "primary",
      "weight": 1.0
    }
  ],
  "layer": "L1",
  "observable_profile": {
    "metric": "delta_RMSE_permil",
    "regime": "Ratio-metric measurements are self-correcting for flow/pressure drifts; amplifier nonlinearity and peak tailing are dominant error sources at 0.01-0.1 permil level.",
    "secondary": "precision_permil"
  },
  "physics_fingerprint": {
    "L_DAG": 2.0,
    "carrier": "ion",
    "difficulty_delta": 2,
    "domain": "Spectroscopy",
    "integration_axis": "temporal",
    "noise_model": "gaussian_plus_drift",
    "primitives": [
      "L.disperse.mass",
      "int.temporal"
    ],
    "problem_class": "ratio_estimation",
    "sensing_mechanism": "magnetic_sector_ms",
    "solution_space": "isotope_ratio_scalar",
    "sub_domain": "High-precision stable-isotope measurement",
    "title": "Isotope-Ratio Mass Spectrometry (IRMS)"
  },
  "size_tiers": {
    "allowed_forward_operators": [
      "sector_irms_forward",
      "multi_collector_icpms_forward",
      "cavity_ringdown_isotope"
    ],
    "allowed_omega_dimensions": [
      "N_replicate",
      "isotope_pair",
      "mass_pair",
      "memory_effect",
      "amp_nonlinearity",
      "peak_tailing",
      "flow_drift",
      "sample_size_mismatch"
    ],
    "allowed_problem_classes": [
      "bulk_irms_delta",
      "compound_specific_cs_irms",
      "clumped_isotopes"
    ],
    "center_spec": {
      "epsilon_fn_center": "0.05 permil RMSE",
      "forward_operator": "sector_irms_forward",
      "input_format": "faraday_voltage_traces",
      "omega": {
        "N_replicate": 6,
        "amp_nonlinearity": 1e-05,
        "isotope_pair": "13C12C",
        "mass_pair": [
          45,
          44
        ],
        "memory_effect": 0.001,
        "peak_tailing": 0.0001
      },
      "problem_class": "bulk_irms_delta"
    },
    "epsilon_bounds": {
      "rmse_permil": [
        0.005,
        10
      ]
    },
    "omega_bounds": {
      "N_replicate": [
        1,
        100
      ],
      "amp_nonlinearity": [
        0.0,
        0.001
      ],
      "flow_drift": [
        0.0,
        0.05
      ],
      "memory_effect": [
        0.0,
        0.1
      ],
      "peak_tailing": [
        0.0,
        0.01
      ],
      "sample_size_mismatch": [
        0.0,
        0.5
      ]
    }
  },
  "staked_pwm": 0.0,
  "status": "testnet",
  "sub_domain": "High-precision stable-isotope measurement",
  "title": "Isotope-Ratio Mass Spectrometry (IRMS)"
}

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