Acta Crystallographica Section A: Foundations and Advances最新文献

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On geometric tubular polyhedra of types 201 and 21. 201型和21型几何管状多面体的研究。
IF 1.8 4区 材料科学
Acta Crystallographica Section A: Foundations and Advances Pub Date : 2026-05-01 Epub Date: 2026-04-28 DOI: 10.1107/S2053273326003025
Daniel Pellicer, Gordon Williams
{"title":"On geometric tubular polyhedra of types 2<sub>01</sub> and 2<sub>1</sub>.","authors":"Daniel Pellicer, Gordon Williams","doi":"10.1107/S2053273326003025","DOIUrl":"https://doi.org/10.1107/S2053273326003025","url":null,"abstract":"<p><p>In this paper we classify the two-orbit polyhedra in classes 2<sub>01</sub> and 2<sub>1</sub> that have a line preserved by their symmetry groups. Other classes of two-orbit polyhedra that have been previously classified include the chiral (or type 2) polyhedra, and the polyhedra in classes 2<sub>0</sub> and 2<sub>2</sub>. Since all of those polyhedra are affinely irreducible, none of their symmetry groups preserve a line as we see in the examples studied here. The skeleta of the polyhedra described in this paper bear some similarities to carbon nanotubes; however there the vertices of their skeleta all have degree three, whereas the polyhedra studied here all have degree four.</p>","PeriodicalId":106,"journal":{"name":"Acta Crystallographica Section A: Foundations and Advances","volume":"82 Pt 3","pages":"218-227"},"PeriodicalIF":1.8,"publicationDate":"2026-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147757880","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
X-ray dynamical diffraction wavefront division interferometer (double-slit diffraction) with an asymmetric monochromator. Corrigendum. 非对称单色x射线动态衍射波前分割干涉仪(双缝衍射)。应改正的错误。
IF 1.8 4区 材料科学
Acta Crystallographica Section A: Foundations and Advances Pub Date : 2026-05-01 Epub Date: 2026-03-26 DOI: 10.1107/S2053273326002287
Vahram Mkrtchyan, Minas Balyan, Sargis Petrosyan, Ashot Aivazyan
{"title":"X-ray dynamical diffraction wavefront division interferometer (double-slit diffraction) with an asymmetric monochromator. Corrigendum.","authors":"Vahram Mkrtchyan, Minas Balyan, Sargis Petrosyan, Ashot Aivazyan","doi":"10.1107/S2053273326002287","DOIUrl":"10.1107/S2053273326002287","url":null,"abstract":"<p><p>An error in the article by Mkrtchyan et al. [Acta Cryst. (2025), A81, 438-448] is corrected.</p>","PeriodicalId":106,"journal":{"name":"Acta Crystallographica Section A: Foundations and Advances","volume":" ","pages":"228"},"PeriodicalIF":1.8,"publicationDate":"2026-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147507996","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Glass bead games: enumeration of possible polytypes based on two stacking vectors and applications to the iron-ore sinter phases SFCA and SFCA-I. 玻璃珠游戏:基于两个堆叠向量的可能多型枚举及其在铁矿石烧结相SFCA和SFCA- 1中的应用。
IF 2.1 4区 材料科学
Acta Crystallographica Section A: Foundations and Advances Pub Date : 2026-05-01 Epub Date: 2026-04-23 DOI: 10.1107/S2053273326003505
Michael Francesco Salzmann, Volker Kahlenberg, Hannes Krüger, Tim Netzer
{"title":"Glass bead games: enumeration of possible polytypes based on two stacking vectors and applications to the iron-ore sinter phases SFCA and SFCA-I.","authors":"Michael Francesco Salzmann, Volker Kahlenberg, Hannes Krüger, Tim Netzer","doi":"10.1107/S2053273326003505","DOIUrl":"10.1107/S2053273326003505","url":null,"abstract":"<p><p>Polytypes can occur in many inorganic and organic compounds alike. In the most basic scenario, different polytypes of a compound are based on translationally equivalent layers and two equivalent arrangements of adjacent layers. This means there are only two distinct stacking vectors, t<sub>1</sub> and t<sub>2</sub>. For this particular situation, we have enumerated the number of principally different polytypes for a given number m of layers in the stacking sequence, under the assumption of the validity of four constraints: (i) periodicity, (ii) exchangeability, (iii) reversibility and (iv) simplicity. Different results are obtained when the reversibility constraint is overturned, a factor that depends on the polar or non-polar character of the underlying layers. The results of this theoretical study have been applied to derive the existing polytypes up to m = 6 for two different polysomes of the family of so-called silico-ferrites of calcium and aluminium (SFCA and SFCA-I, respectively). These phases are of considerable interest to the steel industry, as they represent the primary constituents of the matrix in iron-ore sinters. Finally, the impact of polytypism on the powder diffraction patterns of the SFCAs was investigated and the influence of stacking disorder on the diffractograms was analysed. The resulting collection of simulated powder diffraction patterns may serve as a reference database for the identification of polytype effects in industrial sinters.</p>","PeriodicalId":106,"journal":{"name":"Acta Crystallographica Section A: Foundations and Advances","volume":"82 Pt 3","pages":"145-162"},"PeriodicalIF":2.1,"publicationDate":"2026-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC13131315/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147757887","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The growth and structural characterization of a La0.67Sr0.33MnO3/BaTiO3 superstructure (superlattice). La0.67Sr0.33MnO3/BaTiO3超结构(超晶格)的生长与结构表征
IF 1.8 4区 材料科学
Acta Crystallographica Section A: Foundations and Advances Pub Date : 2026-05-01 Epub Date: 2026-04-16 DOI: 10.1107/S205327332600313X
Łukasz Kokosza, Jakub Pawlak, Marianna Marciszko-Wiąckowska, Grzegorz Cios, Piotr Jabłoński, Andrii Naumov, Marek Przybylski, Zbigniew Mitura
{"title":"The growth and structural characterization of a La<sub>0.67</sub>Sr<sub>0.33</sub>MnO<sub>3</sub>/BaTiO<sub>3</sub> superstructure (superlattice).","authors":"Łukasz Kokosza, Jakub Pawlak, Marianna Marciszko-Wiąckowska, Grzegorz Cios, Piotr Jabłoński, Andrii Naumov, Marek Przybylski, Zbigniew Mitura","doi":"10.1107/S205327332600313X","DOIUrl":"10.1107/S205327332600313X","url":null,"abstract":"<p><p>In this study, we report the structural characterization of a La<sub>0.67</sub>Sr<sub>0.33</sub>MnO<sub>3</sub>/BaTiO<sub>3</sub> superstructure fabricated by pulsed laser deposition. The sample was produced through the successive, alternating deposition of the two materials onto a SrTiO<sub>3</sub> (001) substrate. Structural information was obtained using reflection high-energy electron diffraction, scanning electron microscopy, electron backscatter diffraction and X-ray diffraction. The X-ray experimental data were further analyzed with the aid of a computational statistical model of the superstructure to improve analytical accuracy. The results confirmed that the sample exhibits a high-quality crystallographic structure.</p>","PeriodicalId":106,"journal":{"name":"Acta Crystallographica Section A: Foundations and Advances","volume":" ","pages":"191-199"},"PeriodicalIF":1.8,"publicationDate":"2026-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147687039","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Revisiting Becker-Coppens (1974): updated recipes for estimating extinction factors in spherical crystallites. 贝克尔-科本斯(1974):估算球形晶体中消光因子的更新配方。
IF 1.8 4区 材料科学
Acta Crystallographica Section A: Foundations and Advances Pub Date : 2026-05-01 Epub Date: 2026-03-16 DOI: 10.1107/S2053273326001245
Thomas Kittelmann, Douglas D DiJulio, Shuqi Xu, J I Márquez Damián
{"title":"Revisiting Becker-Coppens (1974): updated recipes for estimating extinction factors in spherical crystallites.","authors":"Thomas Kittelmann, Douglas D DiJulio, Shuqi Xu, J I Márquez Damián","doi":"10.1107/S2053273326001245","DOIUrl":"10.1107/S2053273326001245","url":null,"abstract":"<p><p>A technical correction and update of the widely used recipes by Becker & Coppens [Acta Cryst. (1974), A30, 129-147], for the estimation of primary and secondary extinction factors in perfect spherical crystallites or grains, is presented. In the original work, these extinction factors were evaluated numerically from a complicated integral, and simplified analytical approximations to these evaluations constituted the provided recipes. However, these original recipes are plagued by issues of numerical precision in general, and even suffer from complete numerical breakdown in the case of strong extinction effects, especially in backwards scattering. Using modern computing capabilities, the numerical evaluations of the integrals are revisited, and improved recipes are provided with consistent precision guarantees for all Bragg angles and levels of extinction. The new recipes are provided both in a `standard' version, believed to be of suitable precision for any actual analysis of diffraction or transmission data, and a `luxury' reference version with even higher precision. The performance of the new recipes is compared with that of the original work, and in order to facilitate easy adoption by the community, reference implementations are provided for C, C++ and Python languages.</p>","PeriodicalId":106,"journal":{"name":"Acta Crystallographica Section A: Foundations and Advances","volume":" ","pages":"163-178"},"PeriodicalIF":1.8,"publicationDate":"2026-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147466223","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Structural investigation and C60 adsorption on the (100) surface of a 1/1 pseudo-Tsai-type Au-Si-Ho quasicrystalline approximant. 1/1伪tsai型Au-Si-Ho准晶近似物的结构研究及C60在(100)表面的吸附。
IF 1.8 4区 材料科学
Acta Crystallographica Section A: Foundations and Advances Pub Date : 2026-03-01 Epub Date: 2026-01-09 DOI: 10.1107/S2053273325011040
Wilfried Bajoun Mbajoun, Yu Chin Huang, Girma Hailu Gebresenbut, Cesar Pay Gómez, Vincent Fournée, Julian Ledieu
{"title":"Structural investigation and C<sub>60</sub> adsorption on the (100) surface of a 1/1 pseudo-Tsai-type Au-Si-Ho quasicrystalline approximant.","authors":"Wilfried Bajoun Mbajoun, Yu Chin Huang, Girma Hailu Gebresenbut, Cesar Pay Gómez, Vincent Fournée, Julian Ledieu","doi":"10.1107/S2053273325011040","DOIUrl":"10.1107/S2053273325011040","url":null,"abstract":"<p><p>Tsai-type 1/1 quasicrystalline approximants in the Au-Si-RE (RE = Ho, Tb) system are body-centered cubic phases decorated by clusters having their inner part occupied by either a disordered tetrahedron (IT) or a single rare-earth atom (CC). The system investigated in the present study is the Au-Si-Ho(CC) compound having full occupation of the cluster centers by single Ho atoms. We present a detailed study of the structure and reactivity of its (100) surface using scanning tunneling microscopy and X-ray photoelectron spectroscopy. After annealing Au-Si-Ho(CC) between 725 K and 880 K, the surface exhibits a (2 × 2) surface reconstruction. The surface appears to terminate at specific bulk planes intersecting Tsai-type cluster centers. Adsorption of C<sub>60</sub> molecules on this surface leads to a film with a hexagonal structure corresponding to a (111) plane of the C<sub>60</sub> bulk structure. Compared with a previous report on the (100) surface of the Au-Si-Ho 1/1 approximant having a mixed IT and CC decoration, it appears that cluster center decoration does not affect the surface plane selection rule in Tsai-type approximants. However, the inner decoration affects the atomic structure within the selected surface termination and the structure of C<sub>60</sub> thin films formed on these surfaces.</p>","PeriodicalId":106,"journal":{"name":"Acta Crystallographica Section A: Foundations and Advances","volume":" ","pages":"103-107"},"PeriodicalIF":1.8,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145931318","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Exploring oxide quasicrystals in internal space. 探索内部空间中的氧化物准晶体。
IF 2.1 4区 材料科学
Acta Crystallographica Section A: Foundations and Advances Pub Date : 2026-03-01 Epub Date: 2026-01-09 DOI: 10.1107/S2053273325011015
Sebastian Schenk, Martin Haller, Stefan Förster, Wolf Widdra
{"title":"Exploring oxide quasicrystals in internal space.","authors":"Sebastian Schenk, Martin Haller, Stefan Förster, Wolf Widdra","doi":"10.1107/S2053273325011015","DOIUrl":"10.1107/S2053273325011015","url":null,"abstract":"<p><p>Quantitative assessment of the structural quality of quasicrystals is a challenging task. Whereas diffraction techniques are a powerful tool for the coherently scattering regions, only diffuse scattering addresses structural inhomogeneities. Alternatively, local imaging techniques allow for direct inspection of the structures and for statistical evaluation of tiling elements. In both cases, inspecting the internal space characteristic for quasicrystals offers an additional, more sensitive perspective. Here, we analyze atomically resolved scanning tunneling microscopy images for three dodecagonal oxide quasicrystal (OQC) systems. Upon uplifting the 2D coordinates into a 4D hyperspace, the quasicrystal structure can be discussed in the internal space as well as in the physical space. The quasicrystal acceptance domain in internal space of all three OQCs increases logarithmically with the system size. From the acceptance domain expansion we determine the effective phason elastic constants, which reflect phason disorder within their square-triangle-rhombus tiling.</p>","PeriodicalId":106,"journal":{"name":"Acta Crystallographica Section A: Foundations and Advances","volume":" ","pages":"87-95"},"PeriodicalIF":2.1,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC12954487/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145931296","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Approximate lattice matching in three dimensions. 在三维中近似的点阵匹配。
IF 2.1 4区 材料科学
Acta Crystallographica Section A: Foundations and Advances Pub Date : 2026-03-01 Epub Date: 2026-02-19 DOI: 10.1107/S2053273326000781
Lawrence C Andrews, Herbert J Bernstein
{"title":"Approximate lattice matching in three dimensions.","authors":"Lawrence C Andrews, Herbert J Bernstein","doi":"10.1107/S2053273326000781","DOIUrl":"10.1107/S2053273326000781","url":null,"abstract":"<p><p>Given two unit cells, the problem of determining the best match of the lattice of one to the lattice of the other can require large numbers of trial transformations. We present a solution that requires only a limited number of trials.</p>","PeriodicalId":106,"journal":{"name":"Acta Crystallographica Section A: Foundations and Advances","volume":" ","pages":"132-135"},"PeriodicalIF":2.1,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC12954481/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146224702","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Primitive icosahedral quasicrystals in ZnMgLi(Dy, Ho, Er, Tm) systems. ZnMgLi(Dy, Ho, Er, Tm)体系中的原始二十面体准晶。
IF 2.1 4区 材料科学
Acta Crystallographica Section A: Foundations and Advances Pub Date : 2026-03-01 Epub Date: 2026-01-22 DOI: 10.1107/S205327332501099X
Ireneusz Buganski, Stanislav Vrtnik, Radoslaw Strzalka, Andreja Jelen, Sandra Drev, Janusz Wolny, Nobuhisa Fujita
{"title":"Primitive icosahedral quasicrystals in ZnMgLi(Dy, Ho, Er, Tm) systems.","authors":"Ireneusz Buganski, Stanislav Vrtnik, Radoslaw Strzalka, Andreja Jelen, Sandra Drev, Janusz Wolny, Nobuhisa Fujita","doi":"10.1107/S205327332501099X","DOIUrl":"10.1107/S205327332501099X","url":null,"abstract":"<p><p>New quasicrystals with rare-earth elements and Li are synthesized with the self-flux method. The starting composition involves 62.8 at.% Zn, 28.6 at.% Mg, 3.6 at. % rare-earth and 5% Li. Alternatively, 66 at.% Zn, 24.8 at.% Mg, 3.9 at.% rare-earth and 5.3% Li can be used. Both syntheses result in quasicrystals exhibiting differences in the quasilattice constant which is additionally correlated with the size of the rare-earth atom. Monocrystal X-ray diffraction reveals that Li substitutes the rare-earth element found in the center of the Tsai cluster. The substitution of Li for the rare-earth element not only changes the electron-to-atom ratio but also changes the distribution of magnetic-moment-bearing elements which can affect magnetic properties.</p>","PeriodicalId":106,"journal":{"name":"Acta Crystallographica Section A: Foundations and Advances","volume":" ","pages":"108-117"},"PeriodicalIF":2.1,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC12954479/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146016757","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Minimal-transitivity finite tangles and catenated polyhedra. 最小传递性有限缠结和链状多面体。
IF 1.8 4区 材料科学
Acta Crystallographica Section A: Foundations and Advances Pub Date : 2026-03-01 Epub Date: 2026-01-22 DOI: 10.1107/S2053273326000252
Michael O'Keeffe, Michael M J Treacy
{"title":"Minimal-transitivity finite tangles and catenated polyhedra.","authors":"Michael O'Keeffe, Michael M J Treacy","doi":"10.1107/S2053273326000252","DOIUrl":"10.1107/S2053273326000252","url":null,"abstract":"<p><p>Tangles are defined as embeddings of connected graphs that contain knots and/or links as substructures. We enumerate and describe piecewise-linear embeddings of cubic and icosahedral tangles and linked polyhedra with transitivity [1 2]; that is, with one kind of vertex (all related by symmetry) and two kinds of edge. There are eight families of catenated polyhedra and ten families of tangles. For each family, we only describe the members with the largest girth, where girth is defined as the ratio of the shortest distance between edges with no shared vertices to the length of the longest edge.</p>","PeriodicalId":106,"journal":{"name":"Acta Crystallographica Section A: Foundations and Advances","volume":" ","pages":"96-102"},"PeriodicalIF":1.8,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146016790","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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