L1 ⚛ L1-128 ⊙ Testnet

Atom Probe Tomography (APT)

Scientific Instrumentation · Single-atom 3D chemical reconstruction via field-evaporation MS

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⬇ L1-128.md

# ⚛ L1 Principle — Atom Probe Tomography (APT) **ID:** `L1-128` · **Status:** ⊙ Testnet (genesis catalog) > **🌐 Domain:** Scientific Instrumentation — *Single-atom 3D chemical reconstruction via field-evaporation MS* > **🎯 Problem class:** 3d projection inverse · **🧮 Solution space:** 3d atomic composition > **📡 Carrier:** ion · **🌫 Noise:** poisson plus trajectory error > **⚖ Difficulty (δ):** 5 · **⛓ Block:** 41554213 --- ## 🧠 1. Introduction **Atom Probe Tomography (APT)** is a **3d projection inverse** whose unknown lives in **3d atomic composition** space, within the **Single-atom 3D chemical reconstruction via field-evaporation MS** sub-domain of **Scientific Instrumentation**. Measurements consist of ions detected after acceleration or extraction via a **field evaporation tof** sensing mechanism. The forward operator applies, in order: L · field · evaporate operator; L · disperse · tof operator; D · timestamp operator; pixel-level spatial averaging on the detector. Observations are corrupted by poisson plus trajectory error. Reconstruction is ill-posed due to hemispherical projection approximation — fails at multi-phase tips (different evaporation fields per phase). Field-ion trajectories assumed ideal; local magnification errors of 10-30% at interfaces. ## ⚙ 2. Forward Model Physical chain: **x** → L · field · evaporate → L · disperse · tof → D · timestamp → Spatial integration → **y** (detector). ``` y = ∫_A dA `D.timestamp` `L.disperse.tof` `L.field.evaporate` x ``` **Measurement DAG:** | Primitive | What it does | |---|---| | `L.field.evaporate` | L · field · evaporate operator | | `L.disperse.tof` | L · disperse · tof operator | | `D.timestamp` | D · timestamp operator | | `int.spatial` | Pixel-level spatial averaging on the detector | ## 🔬 3. Physics Fingerprint | Property | Value | |---|---| | Domain | Scientific Instrumentation | | Sub domain | Single-atom 3D chemical reconstruction via field-evaporation MS | | Carrier | ion | | Problem class | 3d_projection_inverse | | Solution space | 3d_atomic_composition | | Noise model | poisson_plus_trajectory_error | | Integration axis | spatial_and_temporal | | Difficulty delta | 5 | | L dag | 3.5 | ## 📡 4. Measurement Model Reconstruction is ill-posed due to hemispherical projection approximation — fails at multi-phase tips (different evaporation fields per phase). Field-ion trajectories assumed ideal; local magnification errors of 10-30% at interfaces. | Metric | Value | |---|---| | Metric | spatial_RMSE_nm | | Secondary | composition_accuracy_percent | ## 📏 5. Operating Range (Ω) **Center problem class:** `apt_reconstruction` · **Forward operator:** `apt_forward` **Center point:** | Parameter | Unit | Value | |---|---|---| | T k | — | 50 | | Eta | — | 0.5 | | R t nm | nm | 50 | | N events | — | 1e+07 | | K species | — | 3 | | Local magnification error | — | 0.1 | **Allowed bounds:** | Parameter | Unit | Range | |---|---|---| | T k | — | 20 – 100 | | Eta | — | 0.2 – 0.9 | | R t nm | nm | 20 – 200 | | N events | — | 10000.0 – 10000000000.0 | | K species | — | 1 – 20 | | Ranging ambiguity | — | 0.0 – 0.3 | | Pile up correction | — | 0.0 – 0.2 | | Detection efficiency | — | 0.2 – 0.9 | | Multi phase evaporation | — | 0.0 – 0.3 | | Local magnification error | — | 0.0 – 0.5 | ## 🎯 6. Tolerance (ε) **Center tolerance:** 0.3 nm spatial RMSE | Metric | Range | |---|---| | Rmse nm | 0.05 – 5.0 | ## ⚖ 7. Hardness Function Hardness scales as **`epsilon_fn`** on **spatial_RMSE_nm**, with κ = `1000` and δ = `5`. ## 💾 8. Reference Dataset - **primary** · weight 1.0 · IPFS _(not pinned yet)_ ## 9. On-chain Registration - **Chain hash:** `0x760048a7a9cb0bb0595660ab78aef45cf28c65e84ccd15fe9e1d3bdf5595de84` - **Chain tx hash:** `0xf0906386bd41e5f584724f0d716c6aaac0429269830edf6d1902eab6b3e856af` - **Chain block:** `41554213` --- ## File Mapping This bundle consists of: `L1-128.md`, `L1-128.json`. | File | Role | How to regenerate | |------|------|-------------------| | `L1-128.md` | Source of truth — edit this | Human or LLM | | `L1-128.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 `L1-128`._ _Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._

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Read the attached Markdown (L1-128.md).
Regenerate L1-128.json so every field matches the Markdown.
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Output each file in its own fenced code block tagged with the filename.

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L2-128-001 APT Reconstruction Spec (hemispherical projection family)

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📋 JSON metadata

{
  "artifact_id": "L1-128",
  "chain_block": 41554213,
  "chain_hash": "0x760048a7a9cb0bb0595660ab78aef45cf28c65e84ccd15fe9e1d3bdf5595de84",
  "chain_tx_hash": "0xf0906386bd41e5f584724f0d716c6aaac0429269830edf6d1902eab6b3e856af",
  "domain": "Scientific Instrumentation",
  "hardness_fn": {
    "delta": 5,
    "kappa": 1000,
    "metric": "spatial_RMSE_nm",
    "type": "epsilon_fn"
  },
  "initiator_dataset": [
    {
      "ipfs_cid": null,
      "license_hash": null,
      "name": "primary",
      "weight": 1.0
    }
  ],
  "layer": "L1",
  "observable_profile": {
    "metric": "spatial_RMSE_nm",
    "regime": "Reconstruction is ill-posed due to hemispherical projection approximation \u2014 fails at multi-phase tips (different evaporation fields per phase). Field-ion trajectories assumed ideal; local magnification errors of 10-30% at interfaces.",
    "secondary": "composition_accuracy_percent"
  },
  "physics_fingerprint": {
    "L_DAG": 3.5,
    "carrier": "ion",
    "difficulty_delta": 5,
    "domain": "Scientific Instrumentation",
    "integration_axis": "spatial_and_temporal",
    "noise_model": "poisson_plus_trajectory_error",
    "primitives": [
      "L.field.evaporate",
      "L.disperse.tof",
      "D.timestamp",
      "int.spatial"
    ],
    "problem_class": "3d_projection_inverse",
    "sensing_mechanism": "field_evaporation_tof",
    "solution_space": "3d_atomic_composition",
    "sub_domain": "Single-atom 3D chemical reconstruction via field-evaporation MS",
    "title": "Atom Probe Tomography (APT)"
  },
  "size_tiers": {
    "allowed_forward_operators": [
      "apt_forward",
      "laser_apt_forward",
      "voltage_apt_forward"
    ],
    "allowed_omega_dimensions": [
      "N_events",
      "R_t_nm",
      "T_K",
      "eta",
      "K_species",
      "local_magnification_error",
      "detection_efficiency",
      "pile_up_correction",
      "ranging_ambiguity",
      "multi_phase_evaporation"
    ],
    "allowed_problem_classes": [
      "apt_reconstruction",
      "apt_cluster_detection",
      "apt_interface_chemistry"
    ],
    "center_spec": {
      "epsilon_fn_center": "0.3 nm spatial RMSE",
      "forward_operator": "apt_forward",
      "input_format": "event_list",
      "omega": {
        "K_species": 3,
        "N_events": 10000000.0,
        "R_t_nm": 50,
        "T_K": 50,
        "eta": 0.5,
        "local_magnification_error": 0.1
      },
      "problem_class": "apt_reconstruction"
    },
    "epsilon_bounds": {
      "rmse_nm": [
        0.05,
        5.0
      ]
    },
    "omega_bounds": {
      "K_species": [
        1,
        20
      ],
      "N_events": [
        10000.0,
        10000000000.0
      ],
      "R_t_nm": [
        20,
        200
      ],
      "T_K": [
        20,
        100
      ],
      "detection_efficiency": [
        0.2,
        0.9
      ],
      "eta": [
        0.2,
        0.9
      ],
      "local_magnification_error": [
        0.0,
        0.5
      ],
      "multi_phase_evaporation": [
        0.0,
        0.3
      ],
      "pile_up_correction": [
        0.0,
        0.2
      ],
      "ranging_ambiguity": [
        0.0,
        0.3
      ]
    }
  },
  "staked_pwm": 0.0,
  "status": "testnet",
  "sub_domain": "Single-atom 3D chemical reconstruction via field-evaporation MS",
  "title": "Atom Probe Tomography (APT)"
}

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