Integer participation and structural noise in superconducting clusters

This repository contains the data, code and manuscript associated with the study02 "Integer participation and structural noise in superconducting clusters". We investigate how an integer “participation number” N, extracted from a simple frequency–ratio model, characterizes superconducting clusters across multiple families (binary, oxide, molecular, iron-based, type-I, type-II, heavy-fermion, high-pressure hydrides) and a superfluid reference. The analysis quantifies integer locking in the ratio between the Debye and critical temperatures, compares the real data against several null models, and relates N to structural noise and to the experimental coherence length ξ₀ for a small set of materials. The Zenodo archive is organized as follows: - `paper/` – LaTeX source (`main.tex`), bibliography (`main.bib`), compiled manuscript (`main.pdf`), and all figures used in the paper.- `notebook/` – Jupyter notebooks implementing the full analysis pipeline and reproducing all figures and tables.- `data/raw/` – Curated raw input tables (Tc, ΘD, family labels, structural-noise predictions, coherence-length data, etc.).- `data/processed/core/` – Processed summary tables used directly in the figures and statistical analyses (participation numbers, family statistics, coherence length validation, leave-one-out tests, model-selection summaries).- `data/processed/simulations/` – Outputs from null-model simulations and robustness checks (shuffled Tc/ΘD, parametric nulls, pressure simulations). A `requirements.txt` file and a top-level `README.md` describe how to create the Python environment and run the notebooks. Running the pipeline should reproduce all figures in `paper/figures/` and match the numerical results in the manuscript up to rounding.Please refer to the paper and this Zenodo record when reusing these data or code.