Isotopy classes for 3-periodic net embeddings

التفاصيل البيبلوغرافية
العنوان: Isotopy classes for 3-periodic net embeddings
المؤلفون: Igor A. Baburin, Stephen C. Power, Davide M. Proserpio
المصدر: Acta Crystallographica Section A Foundations and Advances. 76:275-301
بيانات النشر: International Union of Crystallography (IUCr), 2020.
سنة النشر: 2020
مصطلحات موضوعية: Connected component, 02 engineering and technology, 021001 nanoscience & nanotechnology, 010403 inorganic & nuclear chemistry, Condensed Matter Physics, Mathematics::Geometric Topology, 01 natural sciences, Biochemistry, Quotient graph, Graph, 0104 chemical sciences, Inorganic Chemistry, Combinatorics, Structural Biology, Isotopy, Adjacency list, General Materials Science, Physical and Theoretical Chemistry, 0210 nano-technology, Linear equation, Quotient, Mathematics
الوصف: Entangled embedded periodic nets and crystal frameworks are defined, along with their dimension type, homogeneity type, adjacency depth and periodic isotopy type. Periodic isotopy classifications are obtained for various families of embedded nets with small quotient graphs. The 25 periodic isotopy classes of depth-1 embedded nets with a single-vertex quotient graph are enumerated. Additionally, a classification is given of embeddings ofn-fold copies ofpcuwith all connected components in a parallel orientation andnvertices in a repeat unit, as well as demonstrations of their maximal symmetry periodic isotopes. The methodology of linear graph knots on the flat 3-torus [0,1)3is introduced. These graph knots, with linear edges, are spatial embeddings of the labelled quotient graphs of an embedded net which are associated with its periodicity bases.
وصف الملف: text
تدمد: 2053-2733
URL الوصول: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1000bd312419c8bb4f8603dbdb3bd2eb
https://doi.org/10.1107/s2053273320000625
حقوق: OPEN
رقم الأكسشن: edsair.doi.dedup.....1000bd312419c8bb4f8603dbdb3bd2eb
قاعدة البيانات: OpenAIRE