most read articles

These are the most read articles in the last six months.

Atomic pair distribution functions from textured polycrystalline samples: fundamentals. Z. Gong, S. Tao & S. J. L. Billinge (2025). Acta Cryst. A81, 412-418. 
Crystal tensor properties of magnetic materials with and without spin–orbit coupling. Application of spin point groups as approximate symmetries. J. Etxebarria, J. M. Perez-Mato, E. S. Tasci & L. Elcoro (2025). Acta Cryst. A81, 317-338. 
Topological coordination numbers and coordination reciprocity from electron-density distributions. F. R. Wagner, R. Freccero & Y. Grin (2025). Acta Cryst. A81, 221-244. 
Instrumental broadening and the radial pair distribution function with 2D detectors. D. Chernyshov, K. P. Marshall, E. T. North, C. A. Fuller & D. S. Wragg (2024). Acta Cryst. A80, 358-366. 
Direct derivation of anisotropic atomic displacement parameters from molecular dynamics simulations in extended solids with substitutional disorder using a neural network potential. Y. Hinuma (2025). Acta Cryst. A81, 279-293. 
Refuting `a new theory for X-ray diffraction' – a reciprocal-space approach. E. Vlieg, P. Tinnemans & R. de Gelder (2025). Acta Cryst. A81, 306-316. 
Benchmarking 3D-ΔPDF analysis using in-house X-ray sources. K. O. R. Juul, K. A. H. Støckler & B. B. Iversen (2025). Acta Cryst. A81, 254-268. 
Unit-cell parameters determination from a set of independent electron diffraction zonal patterns. T. E. Gorelik, G. Miehe, R. Bücker & K. Yoshida (2025). Acta Cryst. A81, 124-136. 
On artificial crystal structure generation for solving the phase problem with deep learning. D. M. Melgalvis & T. Rekis (2026). Acta Cryst. A82, 32-40. 
Lattice symmetry relaxation as a cause for anisotropic line broadening and peak shift in powder diffraction. M. Gregorkiewitz & A. Boschetti (2024). Acta Cryst. A80, 439-445. 
Periodic diffraction from an aperiodic monohedral tiling – the Spectre tiling. Addendum. C. S. Kaplan, M. O'Keeffe & M. M. J. Treacy (2024). Acta Cryst. A80, 460-463. 
A computationally efficient quasi-harmonic study of ice polymorphs using the FFLUX force field. A. Pák, M. L. Brown & P. L. A. Popelier (2025). Acta Cryst. A81, 36-48. 
Crystallography of quasiperiodic moiré patterns in homophase twisted bilayers. M. Quiquandon & D. Gratias (2025). Acta Cryst. A81, 94-106. 
Artificial intelligence in action: building simulation and analysis tools for powder diffraction. P. Scardi & M. A. Malagutti (2025). Acta Cryst. A81, 401-404. 
Structure of face-centred icosahedral quasicrystals with cluster close packing. T. Yamada, H. Takakura & A. Yamamoto (2024). Acta Cryst. A80, 422-438. 
Exploring oxide quasicrystals in internal space. S. Schenk, M. Haller, S. Förster & W. Widdra (2026). Acta Cryst. A82, 87-95. 
Uncertainties of recalculated bond lengths, angles and polyhedral volumes as implemented in the Crystal Palace program for parametric crystal structure analysis. R. J. Angel, M. L. Mazzucchelli, L. Baratelli, C. F. Schweinle, T. Balić-Žunić, J. Gonzalez-Platas & M. Alvaro (2025). Acta Cryst. A81, 202-210. 
Growth functions of periodic space tessellations. B. Naskręcki, J. Malinowski, Z. Dauter & M. Jaskolski (2025). Acta Cryst. A81, 64-81. 
Superstructure reflections in tilted perovskites. R. Beanland & R. Sjökvist (2024). Acta Cryst. A80, 387-390. 
Computing the bridge length: the key ingredient in a continuous isometry classification of periodic point sets. J. McManus & V. Kurlin (2025). Acta Cryst. A81, 427-437. 
Primitive icosahedral quasicrystals in ZnMgLi(Dy, Ho, Er, Tm) systems. I. Buganski, S. Vrtnik, R. Strzalka, A. Jelen, S. Drev, J. Wolny & N. Fujita (2026). Acta Cryst. A82, 108-117. 
Honeycombs – their variety, topology and symmetry. Z. Dauter & M. Jaskolski (2025). Acta Cryst. A81, 159-166. 
The phase-seeding method for solving non-centrosymmetric crystal structures: a challenge for artificial intelligence. B. Carrozzini, L. De Caro, C. Giannini, A. Altomare & R. Caliandro (2025). Acta Cryst. A81, 188-201. 
George M. Sheldrick (1942–2025). I. Usón & R. Herbst-Irmer (2025). Acta Cryst. A81, 167-174. 
Deconvoluting thermomechanical effects in X-ray diffraction data using machine learning. R. E. Lim, S.-L. Shang, C. Chuang, T. Q. Phan, Z.-K. Liu & D. C. Pagan (2025). Acta Cryst. A81, 137-150. 
A milestone for the solution to the lattice sphere covering problem in dimension n = 6. F. Vallentin (2025). Acta Cryst. A81, 5-8. 
A note on the relation of anisotropic peak broadening with lattice symmetry in powder diffraction. P. Fabrykiewicz (2025). Acta Cryst. A81, 245-247. 
Can Z, the number of formula units per unit cell, be a fraction? A report of the IUCr Commission on Crystallographic Nomenclature. C. P. Brock (2025). Acta Cryst. A81, 405-408. 
Machine learning for the classification of serial electron diffraction patterns: synthetic data. T. E. Gorelik & E. Gorelik (2025). Acta Cryst. A81, 397-400. 
The general equation of δ direct methods and the novel SMAR algorithm residuals using the absolute value of ρ and the zero conversion of negative ripples. J. Rius (2025). Acta Cryst. A81, 16-25. 
A physical optics formulation of Bloch waves and its application to 4D STEM, 3D ED and inelastic scattering simulations. B. G. Mendis (2025). Acta Cryst. A81, 113-123. 
Periodic Platonic solids: the royal family of periodic nets. W. Zhou (2026). Acta Cryst. A82, 1-3. 
It's all in the group. B. Souvignier (2026). Acta Cryst. A82, 79-82. 
On symmetries of higher-order elastic constants. J. D. Clayton (2025). Acta Cryst. A81, 1-4. 
Pierre J. Becker (1942–2024). J.-M. Gillet (2025). Acta Cryst. A81, 409-411. 
On the principle of reciprocity in inelastic electron scattering. B. G. Mendis (2024). Acta Cryst. A80, 457-459. 
Quasicrystals from the edge: extreme environments, impact craters and the quest in other celestial bodies. L. Bindi (2026). Acta Cryst. A82, 83-86. 
Temporal ghost imaging for pump–probe X-ray solution scattering. B. R. Mobley, K. E. Schmidt & R. A. Kirian (2025). Acta Cryst. A81, 371-380. 
Phase seeding may provide a gateway to structure solution by deep learning. A. Ø. Madsen (2025). Acta Cryst. A81, 251-253. 
Geometric indicators of local plasticity in glasses measured by scanning small-beam diffraction. A. C. Y. Liu, H. Pham, A. Bera, T. C. Petersen, T. W. Sirk, S. T. Mudie, R. F. Tabor, J. Nunez-Iglesias, A. Zaccone & M. Baggioli (2026). Acta Cryst. A82, 4-17. 
Short presentations for crystallographic groups. I. A. Baburin (2026). Acta Cryst. A82, 18-31. 
Influence of device configuration and noise on a machine learning predictor for the selection of nanoparticle small-angle X-ray scattering models. N. Monge, M.-R. Amini & A. Deschamps (2024). Acta Cryst. A80, 405-413. 
On colourings of cubic lattices – a tribute to Heinrich Heesch. I. A. Baburin (2026). Acta Cryst. A82, 69-76. 
Towards a taxonomy of nets: supersymmetric 2- and 3-periodic structures in three-dimensional Euclidean space. M. Li, M. O'Keeffe & M. M. J. Treacy (2025). Acta Cryst. A81, 419-426. 
Enhanced X-ray structural analysis using total variation denoising of X-ray diffraction images. K. Ichiyanagi, T. Sasaki, Y. Yokoyama & Y. Yamasaki (2026). Acta Cryst. A82, 49-54. 
X-ray dynamical diffraction wavefront division interferometer (double-slit diffraction) with an asymmetric monochromator. V. Mkrtchyan, M. Balyan, S. Petrosyan & A. Aivazyan (2025). Acta Cryst. A81, 438-448. 
Structural investigation and C60 adsorption on the (100) surface of a 1/1 pseudo-Tsai-type Au–Si–Ho quasicrystalline approximant. W. Bajoun Mbajoun, Y.-C. Huang, G. H. Gebresenbut, C. P. Gómez, V. Fournée & J. Ledieu (2026). Acta Cryst. A82, 103-107. 
Symmetry structures of tilings on a Klein bottle. M. L. A. De Las Peñas, M. Loyola, E. Taganap & M. Tomenes (2026). Acta Cryst. A82, 118-127. 
Dieter Schwarzenbach (1936–2024). G. Chapuis (2024). Acta Cryst. A80, 391-393. 
An extensible Julia toolkit for symmetry-aware dual-space phasing in arbitrary dimensions. P. Kalugin (2026). Acta Cryst. A82, 41-48. 
A new order parameter model for the structural phase transitions in VO2-based solid solutions. I. H. Kim, J. S. Ri, U. I. Kang, I. H. Kim, K. O. Jang & S. W. Kim (2026). Acta Cryst. A82, 55-68. 
Updating direct methods III. Reduction of structural complexity when first-rank semi-invariants are estimated via the Patterson map. C. Giacovazzo (2025). Acta Cryst. A81, 269-278. 
Approximate lattice matching in three dimensions. L. C. Andrews & H. J. Bernstein (2026). Acta Cryst. A82, 132-135. 
Rajagopala Chidambaram (1936–2025). S. C. Mande & T. P. Singh (2025). Acta Cryst. A81, 89-90. 
3-Periodic weavings: piecewise linear embeddings of symmetric structures. M. O'Keeffe & M. M. J. Treacy (2025). Acta Cryst. A81, 381-388. 
Homophase bilayers: more than just the sum of their monolayers. M. Feuerbacher (2025). Acta Cryst. A81, 91-93. 
Minimal-transitivity finite tangles and catenated polyhedra. M. O'Keeffe & M. M. J. Treacy (2026). Acta Cryst. A82, 96-102. 
MIDAS: a methodological framework for high-speed high-energy diffraction microscopy data reduction. Part I: methodology. H. Sharma, J.-S. Park & P. Kenesei (2026). Acta Cryst. A82, https://doi.org/10.1107/S2053273326004006. 
Glass bead games: enumeration of possible polytypes based on two stacking vectors and applications to the iron-ore sinter phases SFCA and SFCA-I. M. F. Salzmann, V. Kahlenberg, H. Krüger & T. Netzer (2026). Acta Cryst. A82, 145-162. 
Modelling regularity of Si/Al distributions in disordered tectosilicates – application to zeolites with the GIS framework type. M. Moreira de Oliveira Jr & J.-G. Eon (2025). Acta Cryst. A81, 353-370. 
P3, linearizing unit-cell parameters. L. C. Andrews & H. J. Bernstein (2026). Acta Cryst. A82, 128-131. 
Updating direct methods IV. Reduction of the structural complexity when quartet invariant phases are estimated by using the Patterson map as prior information. C. Giacovazzo (2025). Acta Cryst. A81, 389-396. 
Digital distance in the kisrhombille grid with the edge neighborhood. F. Kablan, B. Nagy & B. Vizvári (2025). Acta Cryst. A81, 449-459. 
The separation of the effects of atomic displacement and local resolution in crystallographic and cryo-electron microscopy maps. V. Y. Lunin & N. L. Lunina (2025). Acta Cryst. A81, 473-477. 
Sine Ydun Larsen (1943–2025). S. Lidin, M. J. Cooper, I. Echeverria, M. Soler Lopez, F. Sette, P. Harris & L. Lo Leggio (2025). Acta Cryst. A81, 84-88. 
Distinguishing isotropic and anisotropic signals for X-ray total scattering using machine learning. D. N. Alverson, D. Olds & M. M. Butala (2025). Acta Cryst. A81, 175-187. 
Ultrathin selenium nanorods from helical phases: a quantum chemical study using line group theory. V. V. Porsev, A. V. Bandura, D. D. Kuruch & R. A. Evarestov (2025). Acta Cryst. A81, 460-472. 
Symmetries of all lines in monolayer crystals. B. Field & S. M. Griffin (2025). Acta Cryst. A81, 339-349. 
MIDAS: a quantitative framework for high-energy diffraction microscopy. Part II: accuracy, robustness and best practices. H. Sharma, J.-S. Park, S. Shastri & P. Kenesei (2026). Acta Cryst. A82, https://doi.org/10.1107/S2053273326004018. 
Revisiting Becker–Coppens (1974): updated recipes for estimating extinction factors in spherical crystallites. T. Kittelmann, D. D. DiJulio, S. Xu & J. I. M. Damián (2026). Acta Cryst. A82, 163-178. 
Helical substructures of 4D constructions that determine the structure of α-helices. A. Talis (2025). Acta Cryst. A81, 211-220. 
Double-slit X-ray dynamical diffraction in elastically deformed crystals. M. K. Balyan (2025). Acta Cryst. A81, 294-305. 
Periodic graphs with coincident edges: folding-ladder and related graphs. O. Delgado-Friedrichs, M. O'Keeffe & M. M. J. Treacy (2025). Acta Cryst. A81, 49-56. 
Simulation of reciprocal-space mapping using a new analytical solution of kinematical X-ray diffraction in a crystal. V. Punegov (2025). Acta Cryst. A81, 57-63. 
An alternative method to the Takagi–Taupin equations for studying dark-field X-ray microscopy of deformed crystals. K.-L. Wang, X. Kang & X.-Y. Li (2024). Acta Cryst. A80, 414-421. 
Band and Curie limit symmetry groups. Y. L. Voytekhovsky (2025). Acta Cryst. A81, 350-352. 
X-ray dynamical diffraction wavefront division interferometer (double-slit diffraction) with an asymmetric monochromator. Corrigendum. V. Mkrtchyan, M. Balyan, S. Petrosyan & A. Aivazyan (2026). Acta Cryst. A82, 228. 
Isogonal 1-periodic polycatenanes (chains). Transitivity and intransitivity of links. M. O'Keeffe & M. M. J. Treacy (2025). Acta Cryst. A81, 151-158. 
Stability of inorganic ionic structures: the uniformity approach. A. P. Shevchenko & V. A. Blatov (2024). Acta Cryst. A80, 446-456. 
Ideas of lattice-basis reduction theory for error-stable Bravais lattice determination and ab initio indexing. R. Oishi-Tomiyasu (2024). Acta Cryst. A80, 339-350. 
Complete classification of six-dimensional iso-edge domains. M. Dutour Sikirić & W. van Woerden (2025). Acta Cryst. A81, 9-15. 
Indexing neutron transmission spectra of a rotating crystal. A. Morawiec (2024). Acta Cryst. A80, 379-386. 
Adsorption of C60 on Al13Fe4(010): a theoretical study. D. Job, F. Polewczyk, J. Ledieu, L. Dezerald & E. Gaudry (2026). Acta Cryst. A82, 138-144. 
A new order parameter model for the improper ferroelastic phase transitions in KMnF3 single crystal. I.-H. Kim, I.-H. Kim, K.-O. Jang & S.-W. Kim (2024). Acta Cryst. A80, 329-338. 
Symmetries and symmetry-generated averages of elastic constants up to the sixth order of nonlinearity for all crystal classes, isotropy and transverse isotropy. R. S. Telyatnik (2024). Acta Cryst. A80, 394-404. 
Symmetric 3-periodic polycatenanes: catenated rings, polyhedra and rods. M. O'Keeffe & M. M. J. Treacy (2025). Acta Cryst. A81, 107-112. 
Renormalization techniques for inflation systems and some of their applications. M. Baake, F. Gähler, A. Klick, N. Mañibo & J. Mazáč (2026). Acta Cryst. A82, https://doi.org/10.1107/S2053273326003918. 
On uniform edge-n-colorings of tilings. A. K. Abila, M. L. A. De Las Peñas & M. Tomenes (2024). Acta Cryst. A80, 367-378. 
Relativistic Dirac–Hartree–Fock X-ray scattering factors. III. Chemically relevant atomic anions for Z = 1–85. H. Copeland, Y. Watanabe & A. Volkov (2026). Acta Cryst. A82, 200-217. 
Octagonal tilings with three prototiles. A. L. Say-awen & S. Coates (2026). Acta Cryst. A82, 179-190. 
The growth and structural characterization of a La0.67Sr0.33MnO3/BaTiO3 superstructure (superlattice). Ł. Kokosza, J. Pawlak, M. Marciszko-Wiąckowska, G. Cios, P. Jabłoński, A. Naumov, M. Przybylski & Z. Mitura (2026). Acta Cryst. A82, 191-199. 
New algorithm for generating all coincidence-site lattices of the cubic crystal system. K. Kawahara, K. Inoue, M. Saito, Q. Chen & Y. Ikuhara (2026). Acta Cryst. A82, https://doi.org/10.1107/S2053273326003645. 
Small-angle rigid-unit modes requiring linear strain compensation. B. T. Eggers, H. T. Stokes & B. J. Campbell (2025). Acta Cryst. A81, 26-35. 
On geometric tubular polyhedra of types 201 and 21. D. Pellicer & G. Williams (2026). Acta Cryst. A82, 218-227. 
A real rhombic dodecahedron: morphology and crystal shape variations. D. G. Stepenshchikov & A. D. Pavlushin (2026). Acta Cryst. A82, https://doi.org/10.1107/S2053273326003979. 
Symmetries of a dynamical system arising from a biquadratic number field. K. A. C. de los Santos, M. L. Loyola & E. D. P. Miro (2026). Acta Cryst. A82, https://doi.org/10.1107/S2053273326003967.