L1 ⚛ L1-090 ⊙ Testnet

Electron Energy Loss Spectroscopy (EELS)

Electron Microscopy · Inelastic-electron chemical spectroscopy

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⬇ L1-090.md

# ⚛ L1 Principle — Electron Energy Loss Spectroscopy (EELS) **ID:** `L1-090` · **Status:** ⊙ Testnet (genesis catalog) > **🌐 Domain:** Electron Microscopy — *Inelastic-electron chemical spectroscopy* > **🎯 Problem class:** linear inverse · **🧮 Solution space:** 3D eels hyperspectral > **📡 Carrier:** electron · **🌫 Noise:** shot poisson > **⚖ Difficulty (δ):** 5 · **⛓ Block:** 41554184 --- ## 🧠 1. Introduction **Electron Energy Loss Spectroscopy (EELS)** is a **linear inverse problem** whose unknown lives in **3D eels hyperspectral** space, within the **Inelastic-electron chemical spectroscopy** sub-domain of **Electron Microscopy**. Measurements consist of electrons collected by an electron detector via a **inelastic electron spectrum** sensing mechanism. The forward operator applies, in order: L · transmit sample operator; L · energy dispersion operator; D · eels spectrum operator; detector sums all spectral bands. Observations are corrupted by Poisson shot noise from quantum-limited detection. Existence of the recovered 3D eels hyperspectral is guaranteed within the declared Omega bounds. Uniqueness holds on the measurement-supported subspace; out-of-support modes are controlled by the declared priors. Stability is moderately conditioned (kappa_eff ~= 14); zero_loss_drift dominates the stability cliff; plural_scattering and the remaining mismatch parameters contribute higher-order bias terms. Photon-shot-noise-limited (poisson counting) sets the irreducible data-fidelity floor, while mild Tikhonov or analytic inversion is sufficient at the nominal Omega point. ## ⚙ 2. Forward Model Physical chain: **x** → L · transmit sample → L · energy dispersion → D · eels spectrum → Spectral integration → **y** (detector). ``` y = Σ_λ `D.eels_spectrum` `L.energy_dispersion` `L.transmit_sample` x, measurements ~ Poisson(αy) ``` **Measurement DAG:** | Primitive | What it does | |---|---| | `L.transmit_sample` | L · transmit sample operator | | `L.energy_dispersion` | L · energy dispersion operator | | `D.eels_spectrum` | D · eels spectrum operator | | `int.spectral` | Detector sums all spectral bands | ## 🔬 3. Physics Fingerprint | Property | Value | |---|---| | Domain | Electron Microscopy | | Sub domain | Inelastic-electron chemical spectroscopy | | Carrier | electron | | Problem class | linear_inverse | | Solution space | 3D_eels_hyperspectral | | Noise model | shot_poisson | | Integration axis | spectral | | Difficulty delta | 5 | | L dag | 3.5 | ## 📡 4. Measurement Model Existence of the recovered 3D eels hyperspectral is guaranteed within the declared Omega bounds. Uniqueness holds on the measurement-supported subspace; out-of-support modes are controlled by the declared priors. Stability is moderately conditioned (kappa_eff ~= 14); zero_loss_drift dominates the stability cliff; plural_scattering and the remaining mismatch parameters contribute higher-order bias terms. Photon-shot-noise-limited (poisson counting) sets the irreducible data-fidelity floor, while mild Tikhonov or analytic inversion is sufficient at the nominal Omega point. | Metric | Value | |---|---| | Metric | PSNR_dB | | Secondary | SSIM | ## 📏 5. Operating Range (Ω) **Center problem class:** `eels_hyperspectral` · **Forward operator:** `eels_hyperspectral_forward` **Center point:** | Parameter | Unit | Value | |---|---|---| | H | px | 256 | | W | px | 256 | | Kv | — | 200 | | N e | — | 2048 | | Pixel nm | nm | 1 | | E range ev | — | 0 – 2000 | | Peak electrons | — | 500 | | Zero loss drift | — | 0 | | Plural scattering | — | 0 | **Allowed bounds:** | 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 | ## 🎯 6. Tolerance (ε) **Center tolerance:** 22.0 | Metric | Range | |---|---| | Psnr db | 10.0 – 40.0 | ## ⚖ 7. Hardness Function Hardness scales as **`epsilon_fn`** on **PSNR_dB**, with κ = `280` and δ = `5`. ## 💾 8. Reference Dataset - **primary** · weight 1.0 · IPFS _(not pinned yet)_ ## 9. On-chain Registration - **Chain hash:** `0x890ccef37ca5d79dedbed7809b3866929b4909f52cab29ebe4c0933ba1c06bc1` - **Chain tx hash:** `0xb70f5d2dbe19a6b193e9178b78756c1490bba760fd7aa3e0bcb9bf5c46a1d723` - **Chain block:** `41554184` --- ## File Mapping This bundle consists of: `L1-090.md`, `L1-090.json`. | File | Role | How to regenerate | |------|------|-------------------| | `L1-090.md` | Source of truth — edit this | Human or LLM | | `L1-090.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 `L1-090`._ _Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._

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Read the attached Markdown (L1-090.md).
Regenerate L1-090.json so every field matches the Markdown.
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L2-090-001 Electron Energy Loss Spectroscopy (EELS) Mismatch-Only Spec

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📋 JSON metadata

{
  "artifact_id": "L1-090",
  "chain_block": 41554184,
  "chain_hash": "0x890ccef37ca5d79dedbed7809b3866929b4909f52cab29ebe4c0933ba1c06bc1",
  "chain_tx_hash": "0xb70f5d2dbe19a6b193e9178b78756c1490bba760fd7aa3e0bcb9bf5c46a1d723",
  "domain": "Electron Microscopy",
  "hardness_fn": {
    "delta": 5,
    "kappa": 280,
    "metric": "PSNR_dB",
    "type": "epsilon_fn"
  },
  "initiator_dataset": [
    {
      "ipfs_cid": null,
      "license_hash": null,
      "name": "primary",
      "weight": 1.0
    }
  ],
  "layer": "L1",
  "observable_profile": {
    "metric": "PSNR_dB",
    "regime": "Existence of the recovered 3D eels hyperspectral is guaranteed within the declared Omega bounds. Uniqueness holds on the measurement-supported subspace; out-of-support modes are controlled by the declared priors. Stability is moderately conditioned (kappa_eff ~= 14); zero_loss_drift dominates the stability cliff; plural_scattering and the remaining mismatch parameters contribute higher-order bias terms. Photon-shot-noise-limited (poisson counting) sets the irreducible data-fidelity floor, while mild Tikhonov or analytic inversion is sufficient at the nominal Omega point.",
    "secondary": "SSIM"
  },
  "physics_fingerprint": {
    "L_DAG": 3.5,
    "carrier": "electron",
    "difficulty_delta": 5,
    "domain": "Electron Microscopy",
    "integration_axis": "spectral",
    "noise_model": "shot_poisson",
    "primitives": [
      "L.transmit_sample",
      "L.energy_dispersion",
      "D.eels_spectrum",
      "int.spectral"
    ],
    "problem_class": "linear_inverse",
    "sensing_mechanism": "inelastic_electron_spectrum",
    "solution_space": "3D_eels_hyperspectral",
    "sub_domain": "Inelastic-electron chemical spectroscopy",
    "title": "Electron Energy Loss Spectroscopy (EELS)"
  },
  "size_tiers": {
    "allowed_forward_operators": [
      "eels_hyperspectral_forward"
    ],
    "allowed_omega_dimensions": [
      "H",
      "W",
      "N_E",
      "E_range_eV",
      "pixel_nm",
      "kV",
      "peak_electrons",
      "zero_loss_drift",
      "plural_scattering",
      "zero_loss_drift",
      "plural_scattering",
      "edge_overlap"
    ],
    "allowed_problem_classes": [
      "eels_hyperspectral"
    ],
    "center_spec": {
      "epsilon_fn_center": "22.0",
      "forward_operator": "eels_hyperspectral_forward",
      "input_format": "measurement_only",
      "omega": {
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          0,
          2000
        ],
        "H": 256,
        "N_E": 2048,
        "W": 256,
        "kV": 200,
        "peak_electrons": 500,
        "pixel_nm": 1.0,
        "plural_scattering": 0.0,
        "zero_loss_drift": 0.0
      },
      "problem_class": "eels_hyperspectral"
    },
    "epsilon_bounds": {
      "psnr_db": [
        10.0,
        40.0
      ]
    },
    "omega_bounds": {
      "H": [
        64,
        2048
      ],
      "N_E": [
        256,
        8192
      ],
      "W": [
        64,
        2048
      ],
      "edge_overlap": [
        0.0,
        0.3
      ],
      "kV": [
        80,
        300
      ],
      "peak_electrons": [
        10,
        5000
      ],
      "pixel_nm": [
        0.1,
        10
      ],
      "plural_scattering": [
        0.0,
        0.5
      ],
      "zero_loss_drift": [
        0.0,
        5.0
      ]
    }
  },
  "staked_pwm": 0.0,
  "status": "testnet",
  "sub_domain": "Inelastic-electron chemical spectroscopy",
  "title": "Electron Energy Loss Spectroscopy (EELS)"
}

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