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PreprintCC BYChemRxiv

RINSE: A reciprocal-space fingerprint for comparing crystal structures

  1. 1Department of Chemistry
  2. 2Durham University

Abstract

Comparing crystal structures, whether to identify polymorphs, follow a phase transition, or search a database for a known motif, requires a descriptor that encodes the chemistry of a crystal while remaining invariant to the arbitrary choices made during structure determination or descriptor construction. RINSE (Reciprocal-space INvariant Spectral Embedding) is such a fingerprint, computed from a crystal’s diffraction pattern. By projecting the intensity-weighted reciprocal lattice onto a combined radial and spherical-harmonic basis, RINSE produces a compact power spectrum that is invariant to crystal orientation and to the choice of unit-cell representation, in tens of milliseconds per structure. The descriptor is inspired by the Smooth Overlap of Atomic Positions (SOAP) kernel but maps the full periodic structure rather than a local atomic neighbourhood. A locality-sensitive hash derived from principal-component analysis of the descriptor space enables rapid approximate retrieval of structurally similar crystals, and provides a convenient pronounceable identifier for a related group of structures. The RINSE code is freely available as an open-source Python package.

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BibTeX
@misc{fellowes2026rinse,
  title = {{RINSE: A reciprocal-space fingerprint for comparing crystal structures}},
  author = {Thomas Fellowes and John S. O. Evans and Aurora J. Cruz-Cabeza},
  howpublished = {ChemRxiv},
  year = {2026},
  month = sep,
  doi = {10.26434/chemrxiv.15008615/v1},
  url = {https://chemrxiv.org/doi/full/10.26434/chemrxiv.15008615/v1},
  note = {CC BY},
}
RIS
TY  - UNPB
TI  - RINSE: A reciprocal-space fingerprint for comparing crystal structures
AU  - Thomas Fellowes
AU  - John S. O. Evans
AU  - Aurora J. Cruz-Cabeza
PY  - 2026
DA  - 2026/09/10
PB  - ChemRxiv
DO  - 10.26434/chemrxiv.15008615/v1
UR  - https://chemrxiv.org/doi/full/10.26434/chemrxiv.15008615/v1
AB  - Comparing crystal structures, whether to identify polymorphs, follow a phase transition, or search a database for a known motif, requires a descriptor that encodes the chemistry of a crystal while remaining invariant to the arbitrary choices made during structure determination or descriptor construction. RINSE (Reciprocal-space INvariant Spectral Embedding) is such a fingerprint, computed from a crystal’s diffraction pattern. By projecting the intensity-weighted reciprocal lattice onto a combined radial and spherical-harmonic basis, RINSE produces a compact power spectrum that is invariant to crystal orientation and to the choice of unit-cell representation, in tens of milliseconds per structure. The descriptor is inspired by the Smooth Overlap of Atomic Positions (SOAP) kernel but maps the full periodic structure rather than a local atomic neighbourhood. A locality-sensitive hash derived from principal-component analysis of the descriptor space enables rapid approximate retrieval of structurally similar crystals, and provides a convenient pronounceable identifier for a related group of structures. The RINSE code is freely available as an open-source Python package.
ER  -