L1 ⚛ L1-311 ⊙ Testnet

Butler-Volmer Electrochemical Kinetics

Computational Chemistry · Electrode charge-transfer kinetics

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⬇ L1-311.md

# ⚛ L1 Principle — Butler-Volmer Electrochemical Kinetics **ID:** `L1-311` · **Status:** ⊙ Testnet (genesis catalog) > **🌐 Domain:** Computational Chemistry — *Electrode charge-transfer kinetics* > **🎯 Problem class:** nonlinear inverse · **🧮 Solution space:** BV parameter triplet > **📡 Carrier:** ion · **🌫 Noise:** gaussian > **⚖ Difficulty (δ):** 3 · **⛓ Block:** 41554127 --- ## 🧠 1. Introduction **Butler-Volmer Electrochemical Kinetics** is a **nonlinear inverse problem** whose unknown lives in **BV parameter triplet** space, within the **Electrode charge-transfer kinetics** sub-domain of **Computational Chemistry**. Measurements consist of ions detected after acceleration or extraction via a **electrochemical IV** sensing mechanism. The forward operator applies, in order: E · butler volmer operator; E · mass transport operator; O · i eta operator. Observations are corrupted by additive Gaussian noise. Well-posed; inversion clean in Tafel regime. ## ⚙ 2. Forward Model Physical chain: **x** → E · butler volmer → E · mass transport → O · i eta → **y** (detector). ``` y = `O.i_eta` `E.mass_transport` `E.butler_volmer` x + n, n ~ 𝒩(0, σ²) ``` **Measurement DAG:** | Primitive | What it does | |---|---| | `E.butler_volmer` | E · butler volmer operator | | `E.mass_transport` | E · mass transport operator | | `O.i_eta` | O · i eta operator | ## 🔬 3. Physics Fingerprint | Property | Value | |---|---| | Domain | Computational Chemistry | | Sub domain | Electrode charge-transfer kinetics | | Carrier | ion | | Problem class | nonlinear_inverse | | Solution space | BV_parameter_triplet | | Noise model | gaussian | | Integration axis | potential | | Difficulty delta | 3 | | L dag | 2.8 | ## 📡 4. Measurement Model Well-posed; inversion clean in Tafel regime. | Metric | Value | |---|---| | Metric | log_i_0_error | | Secondary | alpha_error | ## 📏 5. Operating Range (Ω) **Center problem class:** `butler_volmer` · **Forward operator:** `butler_volmer_forward` **Center point:** | Parameter | Unit | Value | |---|---|---| | T k | — | 298 | | N data | — | 200 | | Electrolyte | — | aqueous | | Eta range v | — | -0.5 – 0.5 | **Allowed bounds:** | Parameter | Unit | Range | |---|---|---| | T k | — | 253 – 373 | | N data | — | 20 – 5000 | | Electrolyte | — | aqueous, organic, ionic_liquid, molten_salt | | Eta range v max | — | 0.1 – 2.0 | ## 🎯 6. Tolerance (ε) **Center tolerance:** log10(i_0) <= 0.05 | Metric | Range | |---|---| | Log i 0 error | 0.02 – 1.0 | ## ⚖ 7. Hardness Function Hardness scales as **`epsilon_fn`** on **log_i_0_error**, with κ = `80` and δ = `3`. ## 💾 8. Reference Dataset - **primary** · weight 1.0 · IPFS _(not pinned yet)_ ## 9. On-chain Registration - **Chain hash:** `0x05a93cd61b3b7411eb038373f40e0b15e4402497833bd478622efd8a427674be` - **Chain tx hash:** `0x19fecdc76613707cbffc699700c47b8bb02a6e61ea21fba0587cca83a919172c` - **Chain block:** `41554127` --- ## File Mapping This bundle consists of: `L1-311.md`, `L1-311.json`. | File | Role | How to regenerate | |------|------|-------------------| | `L1-311.md` | Source of truth — edit this | Human or LLM | | `L1-311.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 `L1-311`._ _Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._

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Read the attached Markdown (L1-311.md).
Regenerate L1-311.json so every field matches the Markdown.
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L2-311-001 Butler-Volmer Electrochemical Kinetics Mismatch-Only Spec

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📋 JSON metadata

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  "chain_block": 41554127,
  "chain_hash": "0x05a93cd61b3b7411eb038373f40e0b15e4402497833bd478622efd8a427674be",
  "chain_tx_hash": "0x19fecdc76613707cbffc699700c47b8bb02a6e61ea21fba0587cca83a919172c",
  "domain": "Computational Chemistry",
  "hardness_fn": {
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    "kappa": 80,
    "metric": "log_i_0_error",
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  "observable_profile": {
    "metric": "log_i_0_error",
    "regime": "Well-posed; inversion clean in Tafel regime.",
    "secondary": "alpha_error"
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  "physics_fingerprint": {
    "L_DAG": 2.8,
    "carrier": "ion",
    "difficulty_delta": 3,
    "domain": "Computational Chemistry",
    "integration_axis": "potential",
    "noise_model": "gaussian",
    "primitives": [
      "E.butler_volmer",
      "E.mass_transport",
      "O.i_eta"
    ],
    "problem_class": "nonlinear_inverse",
    "sensing_mechanism": "electrochemical_IV",
    "solution_space": "BV_parameter_triplet",
    "sub_domain": "Electrode charge-transfer kinetics",
    "title": "Butler-Volmer Electrochemical Kinetics"
  },
  "size_tiers": {
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    ],
    "allowed_omega_dimensions": [
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      "eta_range_V",
      "N_data",
      "electrolyte"
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    "allowed_problem_classes": [
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    ],
    "center_spec": {
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      "forward_operator": "butler_volmer_forward",
      "input_format": "measurement_only",
      "omega": {
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        "T_K": 298,
        "electrolyte": "aqueous",
        "eta_range_V": [
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          0.5
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      },
      "problem_class": "butler_volmer"
    },
    "epsilon_bounds": {
      "log_i_0_error": [
        0.02,
        1.0
      ]
    },
    "omega_bounds": {
      "N_data": [
        20,
        5000
      ],
      "T_K": [
        253,
        373
      ],
      "electrolyte": [
        "aqueous",
        "organic",
        "ionic_liquid",
        "molten_salt"
      ],
      "eta_range_V_max": [
        0.1,
        2.0
      ]
    }
  },
  "staked_pwm": 0.0,
  "status": "testnet",
  "sub_domain": "Electrode charge-transfer kinetics",
  "title": "Butler-Volmer Electrochemical Kinetics"
}

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