Cited by 60Machine Learning in Materials ScienceCrystal Structures and PropertiesCrystal structures of chemical compounds

The DOI matches its Crossref record; 4 of the 4 references it cites were found in a registry or an index.

AFLOW-XtalFinder: a reliable choice to identify crystalline prototypes

Open access
Hicks, David, Toher, Cormac, Ford, Denise C., Rose, Frisco, Santo, Carlo De, Levy, Ohad, Mehl, Michael J., Curtarolo, Stefano·2021·npj Computational Materials

Abstract

The accelerated growth rate of repository entries in crystallographic databases makes it arduous to identify and classify their prototype structures. The open-source AFLOW-XtalFinder package was developed to solve this problem. It symbolically maps structures into standard designations following the AFLOW Prototype Encyclopedia and calculates the internal degrees of freedom consistent with the International Tables for Crystallography. To ensure uniqueness, structures are analyzed and compared via symmetry, local atomic geometries, and crystal mapping techniques, simultaneously grouping them by similarity. The software (i) distinguishes distinct crystal prototypes and atom decorations, (ii) determines equivalent spin configurations, (iii) reveals compounds with similar properties, and (iv) guides the discovery of unexplored materials. The operations are accessible through a Python module ready for workflows, and through command line syntax. All the 4+ million compounds in the AFLOW.org repositories are mapped to their ideal prototype, allowing users to search database entries via symbolic structure-type. Furthermore, 15,000 unique structures — sorted by prevalence — are extracted from the AFLOW-ICSD catalog to serve as future prototypes in the Encyclopedia.

Overview

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Integrity signals

Registry

Crossref · 10.1038/s41524-020-00483-4

Cites

4 of 4 references verified0 citation errors · 0 not checkable

Statistics

Verification

Claims the paper makes

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Claims other papers make about this one

Each is checked against this paper’s own text: does it say what the citing paper says it does?

  • Discovered stable crystals correspond to more than 45,500 novel prototypes as measured by XtalFinder, a 5.6 times increase from 8,000 of the Materials Project.

    “Clustering by means of prototype analysis39 supports the diversity of discovered crystals with GNoME, leading to more than 45,500 novel prototypes in Fig. 2c (a 5.6 times increase from 8,000 of the Materials Project), which could not have arisen from full substitutions or prototype enumeration.”

    From Scaling deep learning for materials discovery (2023) · cites this paper as [39]

  • Novel discoveries are validated using XtalFinder, using the compare_structures function available from the command line.

    “We validate the novel discoveries using XtalFinder (ref. 39), using the compare_structures function available from the command line.”

    From Scaling deep learning for materials discovery (2023) · cites this paper as [39]

Self-check

Percentages, sums and reported differences re-computed from the paper’s own numbers.

The self-check needs the paper’s full text.

Citations

Cites

Flagged first, then by citations

Research works printed but not linked: 56

  1. Ewald, P. P. & Hermann, C. (eds.) Strukturbericht 1913-1928 (Akademische Verlagsgesellschaft M. B. H., Leipzig, 1931).
  2. Villars, P. & Calvert, L. Pearson’s Handbook of Crystallographic Data for Intermetallic Phases. 2nd (ASM International, Materials Park, Ohio, USA, 1991).
  3. Curtarolo, S. et al. The high-throughput highway to computational materials design. Nat. Mater. 12, 191–201 (2013). · DOI · Paper page
  4. Kołcz, A., Chowdhury, A. & Alspector, J. Data duplication: an imbalance problem? In Workshop on Learning from Imbalanced Datasets II, ICML (2003). http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.72.8356.
  5. Muratov, E. N. et al. Correction: QSAR without borders. Chem. Soc. Rev. 49, 3716–3716 (2020). · DOI
  6. Niggli, P. Handbuch der Experimentalphysik, vol. 7 (Akademische Verlagsgesellschaft, 1928).
  7. Dzyabchenko, A. V. Method of crystal-structure similarity searching. Acta Crystallogr. Sect. B 50, 414–425 (1994). · DOI
  8. Lonie, D. C. & Zurek, E. Identifying duplicate crystal structures: XTALCOMP, an open-source solution. Comput. Phys. Commun. 183, 690–697 (2012). · DOI
  9. Su, C. et al. Construction of crystal structure prototype database: methods and applications. J. Phys.: Condens. Matter 29, 165901 (2017).
  10. Hundt, R., Schön, J. C. & Jansen, M. CMPZ - an algorithm for the efficient comparison of periodic structures. J. Appl. Crystallogr. 39, 6–16 (2006). · DOI
  11. Gelato, L. M. & Parthé, E. STRUCTURE TIDY - a computer program to standardize crystal structure data. J. Appl. Crystallogr. 20, 139–143 (1987). · DOI
  12. de la Flor, G., Orobengoa, D., Tasci, E., Perez-Mato, J. M. & Aroyo, M. I. Comparison of structures applying the tools available at the Bilbao Crystallographic Server. J. Appl. Crystallogr. 49, 653–664 (2016). · DOI
  13. Lonie, D. C. & Zurek, E. XTALOPT: An open-source evolutionary algorithm for crystal structure prediction. Comput. Phys. Commun. 182, 372–387 (2011). · DOI
  14. Mehl, M. J. et al. The AFLOW library of crystallographic prototypes: Part 1. Comput. Mater. Sci. 136, S1–S828 (2017). · DOI
  15. Hicks, D. et al. The AFLOW library of crystallographic prototypes: Part 2. Comput. Mater. Sci. 161, S1–S1011 (2019). · DOI
  16. Hahn, T. (ed.) International Tables of Crystallography. Volume A: Space-group symmetry (Kluwer Academic publishers, International Union of Crystallography, Chester, England, 2002).
  17. Hicks, D. et al. AFLOW-SYM: platform for the complete, automatic and self-consistent symmetry analysis of crystals. Acta Crystallogr. Sect. A 74, 184–203 (2018). · DOI
  18. Burzlaff, H. & Malinovsky, Y. A procedure for the classification of non-organic crystal structures. I. Theoretical background. Acta Crystallogr. Sect. A 53, 217–224 (1997). · DOI
  19. Toher, C. et al. The AFLOW fleet for materials discovery. In Andreoni, W. & Yip, S. (eds.) Handbook of Materials Modeling, 1–28 (Springer International Publishing, Cham, Switzerland, 2018).
  20. Toher, C. et al. Combining the AFLOW GIBBS and elastic libraries to efficiently and robustly screen thermomechanical properties of solids. Phys. Rev. Mater. 1, 015401 (2017). · DOI
  21. Toher, C. et al. High-throughput computational screening of thermal conductivity, Debye temperature, and Grüneisen parameter using a quasiharmonic Debye model. Phys. Rev. B 90, 174107 (2014). · DOI
  22. Curtarolo, S. et al. AFLOW: An automatic framework for high-throughput materials discovery. Comput. Mater. Sci. 58, 218–226 (2012). · DOI
  23. Lenz, M.-O. et al. Parametrically constrained geometry relaxations for high-throughput materials science. npj Comput. Mater. 5, 123 (2019). · DOI
  24. Kresse, G. & Hafner, J. Ab initio molecular dynamics for liquid metals. Phys. Rev. B 47, 558–561 (1993). · DOI
  25. Blum, V. et al. Ab initio molecular simulations with numeric atom-centered orbitals. Comput. Phys. Commun. 180, 2175–2196 (2009). · DOI
  26. Giannozzi, P. et al. QUANTUM ESPRESSO: a modular and open-source software project for quantum simulations of materials. J. Phys.: Condens. Matter 21, 395502 (2009).
  27. Gonze, X. et al. First-principles computation of material properties: the ABINIT software project. Comput. Mater. Sci. 25, 478–492 (2002). · DOI
  28. Calderon, C. E. et al. The AFLOW standard for high-throughput materials science calculations. Comput. Mater. Sci. 108 Part A, 233–238 (2015). · DOI
  29. Hardy, Y., Tan, K. S. & Steeb, W.-H. Computer Algebra with SymbolicC++. (World Scientific, Singapore, 2008). · DOI
  30. Lima-de-Faria, J., Hellner, E., Liebau, F., Makovicky, E. & Parthé, E. Nomenclature of inorganic structure types. Report of the International Union of Crystallography Commission on crystallographic nomenclature subcommittee on the nomenclature of inorganic structure types. Acta Crystallogr. Sect. A 46, 1–11 (1990). · DOI
  31. Boyle, L. L. & Lawrenson, J. E. The origin dependence of Wyckoff site description of a crystal structure. Acta Crystallogr. Sect. A 29, 353–357 (1973). · DOI
  32. Koch, E. & Fischer, W. Automorphismengruppen von raumgruppen und die zuordnung von punktlagen zu konfigurationslagen. Acta Crystallogr. Sect. A 31, 88–95 (1975). · DOI
  33. Zimmermann, N. E. R. & Jain, A. Local structure order parameters and site fingerprints for quantification of coordination environment and crystal structure similarity. RSC Adv. 10, 6063–6081 (2020). · DOI
  34. Hloucha, M. & Deiters, U. K. Fast coding of the minimum image convention. Mol. Simul. 20, 239–244 (1998). · DOI
  35. Pearson, W. B. The Crystal Chemistry and Physics of Metals and Alloys (Wiley-Interscience, 1972).
  36. Parthé, E. Elements of Inorganic Structural Chemistry: a course on selected topics. (K. Sutter Parthé, Petit-Lancy, Switzerland, 1990).
  37. Avery, P., Toher, C., Curtarolo, S. & Zurek, E. XtalOpt Version r12: An open-source evolutionary algorithm for crystal structure prediction. Comput. Phys. Commun. 237, 274–275 (2019). · DOI
  38. Oses, C., Toher, C. & Curtarolo, S. High-entropy ceramics. Nat. Rev. Mater. 5, 295–309 (2020). · DOI · Paper page
  39. Beachy, J. A. & Blair, W. D. Abstract Algebra. (Waveland Press, Inc., Long Grove, Illinois, 2006).
  40. Oses, C., Toher, C. & Curtarolo, S. Data-driven design of inorganic materials with the automatic flow framework for materials discovery. MRS Bull. 43, 670–675 (2018). · DOI
  41. Draxl, C. & Scheffler, M. NOMAD: The FAIR concept for big data-driven materials science. MRS Bull. 43, 676–682 (2018). · DOI
  42. Jain, A. et al. Commentary: The Materials Project: a materials genome approach to accelerating materials innovation. APL Mater. 1, 011002 (2013). · DOI · Paper page
  43. Pizzi, G., Cepellotti, A., Sabatini, R., Marzari, N. & Kozinsky, B. AiiDA: automated interactive infrastructure and database for computational science. Comput. Mater. Sci. 111, 218–230 (2016). · DOI
  44. Saal, J. E., Kirklin, S., Aykol, M., Meredig, B. & Wolverton, C. Materials design and discovery with high-throughput density functional theory: The Open Quantum Materials Database (OQMD). JOM 65, 1501–1509 (2013). · DOI · Paper page
  45. Taylor, R. H. et al. A RESTful API for exchanging materials data in the AFLOWLIB.org consortium. Comput. Mater. Sci. 93, 178–192 (2014). · DOI
  46. Rose, F. et al. AFLUX: The LUX materials search API for the AFLOW data repositories. Comput. Mater. Sci. 137, 362–370 (2017). · DOI
  47. Bergerhoff, G., Hundt, R., Sievers, R. & Brown, I. D. The inorganic crystal structure data base. J. Chem. Inf. Comput. Sci. 23, 66–69 (1983). · DOI
  48. Curtarolo, S. et al. AFLOWLIB.ORG: A distributed materials properties repository from high-throughput ab initio calculations. Comput. Mater. Sci. 58, 227–235 (2012). · DOI · Paper page
  49. Wang, Y., Lv, J., Zhu, L. & Ma, Y. Crystal structure prediction via particle-swarm optimization. Phys. Rev. B 82, 094116 (2010). · DOI
  50. Wang, Y., Lv, J., Zhu, L. & Ma, Y. CALYPSO: A method for crystal structure prediction. Comput. Phys. Commun. 183, 2063–2070 (2012). · DOI
  51. Hundt, R. KPLOT: A Program for Plotting and Investigation of Crystal Structures, Version 9. (Technicum Scientific Publishing, Stuttgart, Germany, 2016).
  52. Björkman, T. CIF2Cell: Generating geometries for electronic structure programs. Comput. Phys. Commun. 182, 1183–1186 (2011). · DOI
  53. Yang, K., Oses, C. & Curtarolo, S. Modeling off-stoichiometry materials with a high-throughput ab-initio approach. Chem. Mater. 28, 6484–6492 (2016). · DOI
  54. Sarker, P. & Harrington, T. et al. High-entropy high-hardness metal carbides discovered by entropy descriptors. Nat. Commun. 9, 4980 (2018). · DOI
  55. Mackay, A. L. On complexity. Crystallogr. Rep. 46, 524–526 (2001). · DOI
  56. Allmann, R. & Hinek, R. The introduction of structure types into the inorganic crystal structure database ICSD. Acta Crystallogr. Sect. A 63, 412–417 (2007). · DOI

Cited by

Sorted by citations

Metadata

Authors
Hicks, D., Toher, C., Ford, D. C., Rose, F., Santo, C. D., Levy, O., Mehl, M. J., & Curtarolo, S.
Affiliations
Duke University (US)
Venue
npj Computational Materials
Published
2021-02-11
Volume
7
Issue
1
ISSN
2057-3960 (ISSN-L)
OpenAlex
W3091857758
Cited by
60
References
4
Citations by year
2026: 15 · 2025: 8 · 2024: 11 · 2023: 11 · 2022: 12 · 2021: 3
FWCI
2.63
Type
journal article
Language
en
Open access
Locations
  • npj Computational Materials (publishedVersion, cc-by)
  • arXiv (Cornell University) (submittedVersion)
  • DOAJ (DOAJ: Directory of Open Access Journals) (submittedVersion, cc-by-sa)
  • arXiv (Cornell University)
Funders
  • U.S. Department of Defense (N000141712090)
  • Alexander von Humboldt-Stiftung
  • National Defense Science and Engineering Graduate
  • Office of Naval Research (N00014-17-1, N00014-17-1-2090, N00014, N00014-17)
Topics
  • Physical Sciences › Materials Science › Materials Chemistry › Machine Learning in Materials Science
  • Physical Sciences › Materials Science › Electronic, Optical and Magnetic Materials › Crystal Structures and Properties
  • Physical Sciences › Chemistry › Inorganic Chemistry › Crystal structures of chemical compounds
Keywords
crystal structure classification, International Tables for Crystallography, crystal symmetry, spin configurations, crystallographic databases, materials discovery, open source software

About these checks

Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.

Statistics and arithmetic are recomputed, not judged.

Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.

What counts as a claim ›How we measure confidence ›How we check this ›

Are you an author, or do you see a problem with this page? Request a review