RDF-Rust

Partial and total radial distribution functions (PRDF / RDF) for crystal structures, with native support for partially occupied sites.

⚙️ Rust backend, 🐍 Python frontend. The neighbour search, the histogramming and the CIF parsing run in compiled Rust, in parallel across cores. You call it from Python and get NumPy arrays back.

• 🚀 ~100× faster than Matminer on a single core, and ~340× faster on four cores: 13,720 atoms in 144 ms (42 ms on four cores) instead of 14.3 s.
• ⚡ ~2× faster than Vesin, core for core (1.5–2.2×).
• 💾 Under 1 MB of memory at any size. Matminer needs 3.2 GB and Vesin 454 MB for the same 13,720 atoms.
• 🧩 Partial occupancies handled directly: no supercell, no random seed.

🌐 Online app

Use it in the browser, nothing to install: prdf-xrdlicious.streamlit.app

prdf_app.py in this repository is that app: the XRDlicious (P)RDF calculator, with RDF-Rust, Vesin and Matminer as selectable methods. To run it locally:

pip install -r requirements.txt
streamlit run prdf_app.py

Install

pip install rdf-rust

Example

import rdfrust

s = rdfrust.read("BaSrTiO3.cif")                 # reports disorder on stderr
r, partials, total = s.prdf(cutoff=10.0, bin_size=0.1, n_threads=0)

partials[("Ba", "O")]     # numpy array, g_BaO(r)
total                     # number-weighted total RDF
r                         # left edge of each bin

cutoff is the maximum pair length r_max in Å, bin_size the histogram width, and n_threads=0 uses every core. A complete runnable script is in examples/run_prdf.py.

Every element pair is computed automatically: there is no element list to pass. A five-element alloy gives all 25 partials, keyed as (A, B) tuples.

📈 Saving plots

Add save_plots and the curves are also written to a folder as clean figures, with the numbers in a CSV. It is off by default.

s.prdf(cutoff=10.0, bin_size=0.1, save_plots="rdf_plots", title="BaSrTiO3")

This writes total_rdf.png, partial_rdfs.png (all pairs together), one partial_A-B.png per pair, and rdf.csv. Needs matplotlib (pip install "rdf-rust[plot]").

🎞️ MD trajectories

Multi-frame XYZ files, as written by MD codes, are read directly. Choose how often a frame is analysed with every:

res = rdfrust.trajectory_prdf(
    "md_run.xyz",
    cutoff=10.0, bin_size=0.05,
    every=5,                  # every 5th frame
    save_plots="md_rdf",      # averages, animations and CSVs
)
res.total, res.partials       # averaged over the frames used
res.total_per_frame           # every frame, shape (n_frames, n_bins)

With save_plots it writes the trajectory-averaged total and partial RDFs (with the frame-to-frame spread shaded), an animation of every analysed frame (total_rdf_animation.gif, partial_rdfs_animation.gif), and the data as CSV.

• Frames with their own Lattice="..." keep their own box, so NPT runs work.
• Plain XYZ has no cell: pass it with cell=[a, b, c] or a 3×3 matrix.
• Unwrapped coordinates (atoms outside the box) are handled.
• start and stop limit the frame range; skipped frames are not parsed, so every=10 on a long run stays fast.

A runnable demo that writes and analyses a small trajectory: examples/md_trajectory.py.

🚀 Speed and 💾 memory

RDF-Rust on 1 thread (serial, like Matminer and Vesin) and on 4 threads:

1 thread	4 threads

Memory stays flat because pairs go straight from the neighbour search into the histogram and are never stored. Matminer and Vesin keep every pair distance, so their memory grows with the structure.

Results match Matminer to 3.6 × 10⁻¹⁵ (double-precision noise). Full numbers, structure types, thread scaling and the data behind every figure: BENCHMARKS.md.

🧩 Partial occupancies

How it works: each site i carries an occupancy $c_i^A$ for every species A on it. A pair of sites (i, j) within the cutoff adds $c_i^A c_j^B$ to the A–B histogram, instead of 1. Normalising by the number of A atoms, $N_A = \sum_i c_i^A$, gives

$$g_{AB}(r) = \frac{1}{N_A}\sum_{i \neq j} c_i^A c_j^B \frac{\delta(r - r_{ij})}{4\pi r^2 \Delta r}$$

This is the exact average over every random arrangement of the disordered sites, so no supercell, random seed or rounding of occupancies is needed. When all occupancies are 1 it is the ordinary RDF.

If you need an explicit ordered structure instead, for example to export it: ordered, info = s.expand_occupancies(max_sites=4096, seed=42).

Formats

📖 How to cite

RDF-Rust is part of the XRDlicious project. If you use it, please cite:

• XRDlicious: Lebeda, M. et al. XRDlicious: an interactive web-based platform for online calculation of diffraction patterns and radial distribution functions from crystal structures. Journal of Applied Crystallography 58(5) (2025). journals.iucr.org
• XRD-Rust: Lebeda, M. et al. Rust-accelerated powder X-ray diffraction simulation for high-throughput and machine-learning-driven materials science. Journal of Applied Crystallography 59(4), 1344–1350 (2026). journals.iucr.org
• RDF-Rust: this repository, github.com/bracerino/rdf-rust.

Tests

cargo test --lib     # Rust unit tests
pytest tests/ -q     # CIF, formats, neighbours, RDF, disorder physics

License

MIT