L1 ⚛ L1-152 ⊙ Testnet

XFEL Serial Femtosecond Crystallography (SFX)

Ultrafast Imaging · Single-pulse diffraction from microcrystals at XFEL

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⬇ L1-152.md

# ⚛ L1 Principle — XFEL Serial Femtosecond Crystallography (SFX) **ID:** `L1-152` · **Status:** ⊙ Testnet (genesis catalog) > **🌐 Domain:** Ultrafast Imaging — *Single-pulse diffraction from microcrystals at XFEL* > **🎯 Problem class:** nonlinear inverse · **🧮 Solution space:** 3D electron density > **📡 Carrier:** x_ray · **🌫 Noise:** shot poisson > **⚖ Difficulty (δ):** 10 · **⛓ Block:** 41554229 --- ## 🧠 1. Introduction **XFEL Serial Femtosecond Crystallography (SFX)** is a **nonlinear inverse problem** whose unknown lives in **3D electron density** space, within the **Single-pulse diffraction from microcrystals at XFEL** sub-domain of **Ultrafast Imaging**. Measurements consist of X-ray photons transmitted through (or scattered by) the sample via a **xfel serial crystallography** sensing mechanism. The forward operator applies, in order: L · xfel pulse operator; L · microcrystal diffraction operator; L · bragg indexing operator; pixel-level spatial averaging on the detector. Observations are corrupted by Poisson shot noise from quantum-limited detection. Existence of the recovered 3D electron density is guaranteed within the declared Omega bounds. Uniqueness is local rather than global (non-convex landscape); convergence depends on initialisation and priors. Stability is moderately conditioned (kappa_eff ~= 32); hit_rate dominates the stability cliff; detector_dynamic_range and the remaining mismatch parameters contribute higher-order bias terms. Photon-shot-noise-limited (poisson counting) sets the irreducible data-fidelity floor, while TV / wavelet-sparsity / deep priors stabilise recovery at the ill-conditioned end of Omega. ## ⚙ 2. Forward Model Physical chain: **x** → L · xfel pulse → L · microcrystal diffraction → L · bragg indexing → Spatial integration → **y** (detector). ``` y = ∫_A dA `L.bragg_indexing` `L.microcrystal_diffraction` `L.xfel_pulse` x, measurements ~ Poisson(αy) ``` **Measurement DAG:** | Primitive | What it does | |---|---| | `L.xfel_pulse` | L · xfel pulse operator | | `L.microcrystal_diffraction` | L · microcrystal diffraction operator | | `L.bragg_indexing` | L · bragg indexing operator | | `int.spatial` | Pixel-level spatial averaging on the detector | ## 🔬 3. Physics Fingerprint | Property | Value | |---|---| | Domain | Ultrafast Imaging | | Sub domain | Single-pulse diffraction from microcrystals at XFEL | | Carrier | x_ray | | Problem class | nonlinear_inverse | | Solution space | 3D_electron_density | | Noise model | shot_poisson | | Integration axis | angular | | Difficulty delta | 10 | | L dag | 4.5 | ## 📡 4. Measurement Model Existence of the recovered 3D electron density is guaranteed within the declared Omega bounds. Uniqueness is local rather than global (non-convex landscape); convergence depends on initialisation and priors. Stability is moderately conditioned (kappa_eff ~= 32); hit_rate dominates the stability cliff; detector_dynamic_range and the remaining mismatch parameters contribute higher-order bias terms. Photon-shot-noise-limited (poisson counting) sets the irreducible data-fidelity floor, while TV / wavelet-sparsity / deep priors stabilise recovery at the ill-conditioned end of Omega. | Metric | Value | |---|---| | Metric | PSNR_dB | | Secondary | SSIM | ## 📏 5. Operating Range (Ω) **Center problem class:** `xfel_sfx` · **Forward operator:** `xfel_sfx_forward` **Center point:** | Parameter | Unit | Value | |---|---|---| | H | px | 2048 | | W | px | 2048 | | Hit rate | — | 0.1 | | Pulse fs | — | 10 | | N patterns | — | 100000 | | Partial reflection | — | 0.3 | | Beam pointing jitter | — | 0 | | Detector dynamic range | — | 1000 | **Allowed bounds:** | Parameter | Unit | Range | |---|---|---| | H | px | 512 | | W | px | 512 | | Hit rate | — | 0.001 – 0.5 | | Pulse fs | — | 1 – 100 | | N patterns | — | 1000 – 10000000 | | Partial reflection | — | 0.0 – 0.8 | | Beam pointing jitter | — | 0.0 – 0.5 | | Detector dynamic range | — | 100 – 100000 | ## 🎯 6. Tolerance (ε) **Center tolerance:** 18.0 | Metric | Range | |---|---| | Psnr db | 5.0 – 40.0 | ## ⚖ 7. Hardness Function Hardness scales as **`epsilon_fn`** on **PSNR_dB**, with κ = `640` and δ = `10`. ## 💾 8. Reference Dataset - **primary** · weight 1.0 · IPFS _(not pinned yet)_ ## 9. On-chain Registration - **Chain hash:** `0xad88d8cac208f04b05bb35046a26df5e8bce02750b42484545e642dba6bfa07c` - **Chain tx hash:** `0x850345eebf6101146e85cc99b69c3d272c1428c2f46254dbac14992d8d64950f` - **Chain block:** `41554229` --- ## File Mapping This bundle consists of: `L1-152.md`, `L1-152.json`. | File | Role | How to regenerate | |------|------|-------------------| | `L1-152.md` | Source of truth — edit this | Human or LLM | | `L1-152.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 `L1-152`._ _Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._

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L2-152-001 XFEL Serial Femtosecond Crystallography (SFX) Mismatch-Only Spec

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📋 JSON metadata

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  "domain": "Ultrafast Imaging",
  "hardness_fn": {
    "delta": 10,
    "kappa": 640,
    "metric": "PSNR_dB",
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    "carrier": "x_ray",
    "difficulty_delta": 10,
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    "integration_axis": "angular",
    "noise_model": "shot_poisson",
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    "sensing_mechanism": "xfel_serial_crystallography",
    "solution_space": "3D_electron_density",
    "sub_domain": "Single-pulse diffraction from microcrystals at XFEL",
    "title": "XFEL Serial Femtosecond Crystallography (SFX)"
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        "pulse_fs": 10
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      "N_patterns": [
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      ],
      "W": 512,
      "beam_pointing_jitter": [
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      "hit_rate": [
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      "partial_reflection": [
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        0.8
      ],
      "pulse_fs": [
        1,
        100
      ]
    }
  },
  "staked_pwm": 0.0,
  "status": "testnet",
  "sub_domain": "Single-pulse diffraction from microcrystals at XFEL",
  "title": "XFEL Serial Femtosecond Crystallography (SFX)"
}

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