L1 ⚛ L1-135 ⊙ Testnet

Neutron Diffraction (powder / single crystal)

Scientific Instrumentation · Neutron elastic diffraction for magnetic + H-site structures

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⬇ L1-135.md

# ⚛ L1 Principle — Neutron Diffraction (powder / single crystal) **ID:** `L1-135` · **Status:** ⊙ Testnet (genesis catalog) > **🌐 Domain:** Scientific Instrumentation — *Neutron elastic diffraction for magnetic + H-site structures* > **🎯 Problem class:** parametric structure refinement · **🧮 Solution space:** atomic magnetic structure > **📡 Carrier:** neutron · **🌫 Noise:** shot poisson > **⚖ Difficulty (δ):** 3 · **⛓ Block:** 41554214 --- ## 🧠 1. Introduction **Neutron Diffraction (powder / single crystal)** is a **parametric structure refinement** whose unknown lives in **atomic magnetic structure** space, within the **Neutron elastic diffraction for magnetic + H-site structures** sub-domain of **Scientific Instrumentation**. Measurements consist of neutrons transmitted through the sample via a **nuclear magnetic diffraction** sensing mechanism. The forward operator applies, in order: L · diffract · bragg operator; L · project · rescipocal operator; integration over the solid angle of incidence/emission. Observations are corrupted by Poisson shot noise from quantum-limited detection. Crystalline-structure refinement linear in peak intensities; limited-resolution phase problem resolved by known symmetry. ## ⚙ 2. Forward Model Physical chain: **x** → L · diffract · bragg → L · project · rescipocal → Angular integration → **y** (detector). ``` y = ∫dΩ `L.project.rescipocal` `L.diffract.bragg` x, measurements ~ Poisson(αy) ``` **Measurement DAG:** | Primitive | What it does | |---|---| | `L.diffract.bragg` | L · diffract · bragg operator | | `L.project.rescipocal` | L · project · rescipocal operator | | `int.angular` | Integration over the solid angle of incidence/emission | ## 🔬 3. Physics Fingerprint | Property | Value | |---|---| | Domain | Scientific Instrumentation | | Sub domain | Neutron elastic diffraction for magnetic + H-site structures | | Carrier | neutron | | Problem class | parametric_structure_refinement | | Solution space | atomic_magnetic_structure | | Noise model | shot_poisson | | Integration axis | angular | | Difficulty delta | 3 | | L dag | 2.7 | ## 📡 4. Measurement Model Crystalline-structure refinement linear in peak intensities; limited-resolution phase problem resolved by known symmetry. | Metric | Value | |---|---| | Metric | Rwp | | Secondary | atomic_position_RMSE_angstrom | ## 📏 5. Operating Range (Ω) **Center problem class:** `powder_rietveld` · **Forward operator:** `neutron_powder_forward` **Center point:** | Parameter | Unit | Value | |---|---|---| | N atoms | — | 20 | | N points | — | 10000 | | Lambda a | — | 1.5 | | Absorption correction | — | 0 | | Preferred orientation | — | 0 | **Allowed bounds:** | Parameter | Unit | Range | |---|---|---| | N atoms | — | 1 – 1000 | | N points | — | 1000 – 100000 | | Lambda a | — | 0.5 – 6.0 | | Absorption correction | — | 0.0 – 0.3 | | Magnetic interference | — | 0.0 – 0.5 | | Preferred orientation | — | 0.0 – 0.5 | | Background model error | — | 0.0 – 0.2 | | Thermal diffuse scatter | — | 0.0 – 0.2 | ## 🎯 6. Tolerance (ε) **Center tolerance:** Rwp 0.05 | Metric | Range | |---|---| | Rwp | 0.01 – 0.3 | ## ⚖ 7. Hardness Function Hardness scales as **`epsilon_fn`** on **Rwp**, with κ = `300` and δ = `3`. ## 💾 8. Reference Dataset - **primary** · weight 1.0 · IPFS _(not pinned yet)_ ## 9. On-chain Registration - **Chain hash:** `0xfe56338a5def18317f82f6ab6bfebc6a7a9bcc173c3c379767c92b9b6ecc24dc` - **Chain tx hash:** `0x2bfa0458c4f840f39ec95ebaee6097b399673e727b65d33dff0bdf3210c13cbe` - **Chain block:** `41554214` --- ## File Mapping This bundle consists of: `L1-135.md`, `L1-135.json`. | File | Role | How to regenerate | |------|------|-------------------| | `L1-135.md` | Source of truth — edit this | Human or LLM | | `L1-135.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 `L1-135`._ _Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._

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Read the attached Markdown (L1-135.md).
Regenerate L1-135.json so every field matches the Markdown.
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L2-135-001 Neutron Powder Rietveld Spec

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📋 JSON metadata

{
  "artifact_id": "L1-135",
  "chain_block": 41554214,
  "chain_hash": "0xfe56338a5def18317f82f6ab6bfebc6a7a9bcc173c3c379767c92b9b6ecc24dc",
  "chain_tx_hash": "0x2bfa0458c4f840f39ec95ebaee6097b399673e727b65d33dff0bdf3210c13cbe",
  "domain": "Scientific Instrumentation",
  "hardness_fn": {
    "delta": 3,
    "kappa": 300,
    "metric": "Rwp",
    "type": "epsilon_fn"
  },
  "initiator_dataset": [
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      "ipfs_cid": null,
      "license_hash": null,
      "name": "primary",
      "weight": 1.0
    }
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  "layer": "L1",
  "observable_profile": {
    "metric": "Rwp",
    "regime": "Crystalline-structure refinement linear in peak intensities; limited-resolution phase problem resolved by known symmetry.",
    "secondary": "atomic_position_RMSE_angstrom"
  },
  "physics_fingerprint": {
    "L_DAG": 2.7,
    "carrier": "neutron",
    "difficulty_delta": 3,
    "domain": "Scientific Instrumentation",
    "integration_axis": "angular",
    "noise_model": "shot_poisson",
    "primitives": [
      "L.diffract.bragg",
      "L.project.rescipocal",
      "int.angular"
    ],
    "problem_class": "parametric_structure_refinement",
    "sensing_mechanism": "nuclear_magnetic_diffraction",
    "solution_space": "atomic_magnetic_structure",
    "sub_domain": "Neutron elastic diffraction for magnetic + H-site structures",
    "title": "Neutron Diffraction (powder / single crystal)"
  },
  "size_tiers": {
    "allowed_forward_operators": [
      "neutron_powder_forward",
      "neutron_single_crystal_forward",
      "tof_powder_forward"
    ],
    "allowed_omega_dimensions": [
      "N_points",
      "lambda_A",
      "N_atoms",
      "preferred_orientation",
      "absorption_correction",
      "background_model_error",
      "thermal_diffuse_scatter",
      "magnetic_interference"
    ],
    "allowed_problem_classes": [
      "powder_rietveld",
      "single_crystal_refine",
      "magnetic_structure_determination"
    ],
    "center_spec": {
      "epsilon_fn_center": "Rwp 0.05",
      "forward_operator": "neutron_powder_forward",
      "input_format": "diffraction_pattern",
      "omega": {
        "N_atoms": 20,
        "N_points": 10000,
        "absorption_correction": 0.0,
        "lambda_A": 1.5,
        "preferred_orientation": 0.0
      },
      "problem_class": "powder_rietveld"
    },
    "epsilon_bounds": {
      "rwp": [
        0.01,
        0.3
      ]
    },
    "omega_bounds": {
      "N_atoms": [
        1,
        1000
      ],
      "N_points": [
        1000,
        100000
      ],
      "absorption_correction": [
        0.0,
        0.3
      ],
      "background_model_error": [
        0.0,
        0.2
      ],
      "lambda_A": [
        0.5,
        6.0
      ],
      "magnetic_interference": [
        0.0,
        0.5
      ],
      "preferred_orientation": [
        0.0,
        0.5
      ],
      "thermal_diffuse_scatter": [
        0.0,
        0.2
      ]
    }
  },
  "staked_pwm": 0.0,
  "status": "testnet",
  "sub_domain": "Neutron elastic diffraction for magnetic + H-site structures",
  "title": "Neutron Diffraction (powder / single crystal)"
}

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