L1 ⚛ L1-136 ⊙ Testnet

Cathodoluminescence (CL) Imaging & Spectroscopy

Scientific Instrumentation · Electron-beam-induced light emission at nm resolution

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⬇ L1-136.md

# ⚛ L1 Principle — Cathodoluminescence (CL) Imaging & Spectroscopy **ID:** `L1-136` · **Status:** ⊙ Testnet (genesis catalog) > **🌐 Domain:** Scientific Instrumentation — *Electron-beam-induced light emission at nm resolution* > **🎯 Problem class:** linear inverse spectral emission · **🧮 Solution space:** emission center map > **📡 Carrier:** electron · **🌫 Noise:** shot poisson > **⚖ Difficulty (δ):** 3 · **⛓ Block:** 41554226 --- ## 🧠 1. Introduction **Cathodoluminescence (CL) Imaging & Spectroscopy** is a **linear inverse spectral emission** whose unknown lives in **emission center map** space, within the **Electron-beam-induced light emission at nm resolution** sub-domain of **Scientific Instrumentation**. Measurements consist of electrons collected by an electron detector via a **electron induced luminescence** sensing mechanism. The forward operator applies, in order: L · absorb · eBeam operator; S · emit · recombine operator; L · disperse · spectral operator; detector accumulates flux over the exposure window. Observations are corrupted by Poisson shot noise from quantum-limited detection. Linear at low injection; saturation/beam-damage at high current. Carrier-diffusion blurs spatial resolution beyond geometric beam. ## ⚙ 2. Forward Model Physical chain: **x** → L · absorb · eBeam → S · emit · recombine → L · disperse · spectral → Temporal integration → **y** (detector). ``` y = ∫_t dt `L.disperse.spectral` `S.emit.recombine` `L.absorb.eBeam` x, measurements ~ Poisson(αy) ``` **Measurement DAG:** | Primitive | What it does | |---|---| | `L.absorb.eBeam` | L · absorb · ebeam operator | | `S.emit.recombine` | S · emit · recombine operator | | `L.disperse.spectral` | L · disperse · spectral operator | | `int.temporal` | Detector accumulates flux over the exposure window | ## 🔬 3. Physics Fingerprint | Property | Value | |---|---| | Domain | Scientific Instrumentation | | Sub domain | Electron-beam-induced light emission at nm resolution | | Carrier | electron | | Problem class | linear_inverse_spectral_emission | | Solution space | emission_center_map | | Noise model | shot_poisson | | Integration axis | spectral_and_spatial | | Difficulty delta | 3 | | L dag | 3.5 | ## 📡 4. Measurement Model Linear at low injection; saturation/beam-damage at high current. Carrier-diffusion blurs spatial resolution beyond geometric beam. | Metric | Value | |---|---| | Metric | emission_center_NMSE | | Secondary | spatial_resolution_nm | ## 📏 5. Operating Range (Ω) **Center problem class:** `cl_hyperspectral_mapping` · **Forward operator:** `cl_emission_forward` **Center point:** | Parameter | Unit | Value | |---|---|---| | H | px | 256 | | K | — | 5 | | W | px | 256 | | N lambda | — | 500 | | Pixel nm | nm | 10 | | Beam energy kev | — | 10 | | Carrier diffusion length | — | 50 | **Allowed bounds:** | Parameter | Unit | Range | |---|---|---| | H | px | 32 – 2048 | | K | — | 1 – 20 | | W | px | 32 – 2048 | | N lambda | — | 64 – 2048 | | Pixel nm | nm | 1 – 500 | | Beam drift | — | 0.0 – 0.2 | | Beam energy kev | — | 1 – 30 | | Self absorption | — | 0.0 – 0.3 | | Electron beam damage | — | 0.0 – 0.5 | | Carrier diffusion length | — | 1 – 500 | | Pure component uncertainty | — | 0.0 – 0.3 | ## 🎯 6. Tolerance (ε) **Center tolerance:** NMSE 5e-3 | Metric | Range | |---|---| | Nmse | 0.0001 – 0.1 | ## ⚖ 7. Hardness Function Hardness scales as **`epsilon_fn`** on **emission_center_NMSE**, with κ = `200` and δ = `3`. ## 💾 8. Reference Dataset - **primary** · weight 1.0 · IPFS _(not pinned yet)_ ## 9. On-chain Registration - **Chain hash:** `0x6162bc1d5380c4abaa63dbb41c2e67f344abfb9c3574266073f0e220572cf825` - **Chain tx hash:** `0x76a0b7caf81f0ed096f043f28262b7a8cf833174f570c9b197df4a7a43a23464` - **Chain block:** `41554226` --- ## File Mapping This bundle consists of: `L1-136.md`, `L1-136.json`. | File | Role | How to regenerate | |------|------|-------------------| | `L1-136.md` | Source of truth — edit this | Human or LLM | | `L1-136.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 `L1-136`._ _Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._

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Regenerate L1-136.json so every field matches the Markdown.
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L2-136-001 Cathodoluminescence Hyperspectral Mapping Spec

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📋 JSON metadata

{
  "artifact_id": "L1-136",
  "chain_block": 41554226,
  "chain_hash": "0x6162bc1d5380c4abaa63dbb41c2e67f344abfb9c3574266073f0e220572cf825",
  "chain_tx_hash": "0x76a0b7caf81f0ed096f043f28262b7a8cf833174f570c9b197df4a7a43a23464",
  "domain": "Scientific Instrumentation",
  "hardness_fn": {
    "delta": 3,
    "kappa": 200,
    "metric": "emission_center_NMSE",
    "type": "epsilon_fn"
  },
  "initiator_dataset": [
    {
      "ipfs_cid": null,
      "license_hash": null,
      "name": "primary",
      "weight": 1.0
    }
  ],
  "layer": "L1",
  "observable_profile": {
    "metric": "emission_center_NMSE",
    "regime": "Linear at low injection; saturation/beam-damage at high current. Carrier-diffusion blurs spatial resolution beyond geometric beam.",
    "secondary": "spatial_resolution_nm"
  },
  "physics_fingerprint": {
    "L_DAG": 3.5,
    "carrier": "electron",
    "difficulty_delta": 3,
    "domain": "Scientific Instrumentation",
    "integration_axis": "spectral_and_spatial",
    "noise_model": "shot_poisson",
    "primitives": [
      "L.absorb.eBeam",
      "S.emit.recombine",
      "L.disperse.spectral",
      "int.temporal"
    ],
    "problem_class": "linear_inverse_spectral_emission",
    "sensing_mechanism": "electron_induced_luminescence",
    "solution_space": "emission_center_map",
    "sub_domain": "Electron-beam-induced light emission at nm resolution",
    "title": "Cathodoluminescence (CL) Imaging \u0026 Spectroscopy"
  },
  "size_tiers": {
    "allowed_forward_operators": [
      "cl_emission_forward",
      "stem_cl_forward"
    ],
    "allowed_omega_dimensions": [
      "H",
      "W",
      "N_lambda",
      "beam_energy_keV",
      "pixel_nm",
      "K",
      "carrier_diffusion_length",
      "beam_drift",
      "electron_beam_damage",
      "pure_component_uncertainty",
      "self_absorption"
    ],
    "allowed_problem_classes": [
      "cl_hyperspectral_mapping",
      "cl_timeresolved",
      "plasmon_cl_spectroscopy"
    ],
    "center_spec": {
      "epsilon_fn_center": "NMSE 5e-3",
      "forward_operator": "cl_emission_forward",
      "input_format": "hyperspectral_cube",
      "omega": {
        "H": 256,
        "K": 5,
        "N_lambda": 500,
        "W": 256,
        "beam_energy_keV": 10,
        "carrier_diffusion_length": 50,
        "pixel_nm": 10
      },
      "problem_class": "cl_hyperspectral_mapping"
    },
    "epsilon_bounds": {
      "nmse": [
        0.0001,
        0.1
      ]
    },
    "omega_bounds": {
      "H": [
        32,
        2048
      ],
      "K": [
        1,
        20
      ],
      "N_lambda": [
        64,
        2048
      ],
      "W": [
        32,
        2048
      ],
      "beam_drift": [
        0.0,
        0.2
      ],
      "beam_energy_keV": [
        1,
        30
      ],
      "carrier_diffusion_length": [
        1,
        500
      ],
      "electron_beam_damage": [
        0.0,
        0.5
      ],
      "pixel_nm": [
        1,
        500
      ],
      "pure_component_uncertainty": [
        0.0,
        0.3
      ],
      "self_absorption": [
        0.0,
        0.3
      ]
    }
  },
  "staked_pwm": 0.0,
  "status": "testnet",
  "sub_domain": "Electron-beam-induced light emission at nm resolution",
  "title": "Cathodoluminescence (CL) Imaging \u0026 Spectroscopy"
}

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