Matches in SemOpenAlex for { <https://semopenalex.org/work/W2043115976> ?p ?o ?g. }
Showing items 1 to 97 of
97
with 100 items per page.
- W2043115976 endingPage "1030" @default.
- W2043115976 startingPage "1017" @default.
- W2043115976 abstract "A two-dimensional Euclidean plane can be identified with the Gauss-Argan plane, so that a two-dimensional triangular lattice can be identified, apart from a scaling factor, with a set of 'triangular integers' of the complex quadratic field associated with a complex cubic root of 1. It is shown that a two-dimensional modulated structure on the lattice can be characterised by a 'rational triangular number' of the quadratic field. Possible modulated structures are shown to be determined by the number-theoretical properties of the 'triangular integers'. The continued-fraction-expansion algorithm for ordinary rational numbers is extended to the case of 'rational triangular numbers'. Commensurate structures on the triangular lattice are classified by the orders of the continued-fraction expansions of the relevant 'rational triangular numbers'. The atomic configuration in a commensurate structure of a system of atoms adsorbed on a substrate with a triangular lattice is shown to have a hierarchical structure corresponding to the hierarchy among the convergents to the relevant 'rational triangular numbers'." @default.
- W2043115976 created "2016-06-24" @default.
- W2043115976 creator A5026049343 @default.
- W2043115976 creator A5084598463 @default.
- W2043115976 date "1987-03-20" @default.
- W2043115976 modified "2023-09-24" @default.
- W2043115976 title "An analysis of two-dimensional modulated structures on a triangular lattice in terms of a complex quadratic field" @default.
- W2043115976 cites W1963665390 @default.
- W2043115976 cites W1972256028 @default.
- W2043115976 cites W1974775577 @default.
- W2043115976 cites W1996569728 @default.
- W2043115976 cites W1998601458 @default.
- W2043115976 cites W2000290256 @default.
- W2043115976 cites W2000651823 @default.
- W2043115976 cites W2004455833 @default.
- W2043115976 cites W2020759904 @default.
- W2043115976 cites W2053259578 @default.
- W2043115976 cites W2053911268 @default.
- W2043115976 cites W2056235872 @default.
- W2043115976 cites W2061569804 @default.
- W2043115976 cites W2072023248 @default.
- W2043115976 cites W2073401799 @default.
- W2043115976 cites W2073543488 @default.
- W2043115976 cites W2084724707 @default.
- W2043115976 cites W2137777233 @default.
- W2043115976 cites W2315107434 @default.
- W2043115976 doi "https://doi.org/10.1088/0022-3719/20/8/005" @default.
- W2043115976 hasPublicationYear "1987" @default.
- W2043115976 type Work @default.
- W2043115976 sameAs 2043115976 @default.
- W2043115976 citedByCount "7" @default.
- W2043115976 countsByYear W20431159762019 @default.
- W2043115976 countsByYear W20431159762020 @default.
- W2043115976 crossrefType "journal-article" @default.
- W2043115976 hasAuthorship W2043115976A5026049343 @default.
- W2043115976 hasAuthorship W2043115976A5084598463 @default.
- W2043115976 hasConcept C114614502 @default.
- W2043115976 hasConcept C121332964 @default.
- W2043115976 hasConcept C129782007 @default.
- W2043115976 hasConcept C129844170 @default.
- W2043115976 hasConcept C142885752 @default.
- W2043115976 hasConcept C155355069 @default.
- W2043115976 hasConcept C166437778 @default.
- W2043115976 hasConcept C17744445 @default.
- W2043115976 hasConcept C199539241 @default.
- W2043115976 hasConcept C202444582 @default.
- W2043115976 hasConcept C24890656 @default.
- W2043115976 hasConcept C2524010 @default.
- W2043115976 hasConcept C26873012 @default.
- W2043115976 hasConcept C2781204021 @default.
- W2043115976 hasConcept C31170391 @default.
- W2043115976 hasConcept C33923547 @default.
- W2043115976 hasConcept C46875033 @default.
- W2043115976 hasConcept C56863137 @default.
- W2043115976 hasConcept C90626534 @default.
- W2043115976 hasConcept C95136341 @default.
- W2043115976 hasConceptScore W2043115976C114614502 @default.
- W2043115976 hasConceptScore W2043115976C121332964 @default.
- W2043115976 hasConceptScore W2043115976C129782007 @default.
- W2043115976 hasConceptScore W2043115976C129844170 @default.
- W2043115976 hasConceptScore W2043115976C142885752 @default.
- W2043115976 hasConceptScore W2043115976C155355069 @default.
- W2043115976 hasConceptScore W2043115976C166437778 @default.
- W2043115976 hasConceptScore W2043115976C17744445 @default.
- W2043115976 hasConceptScore W2043115976C199539241 @default.
- W2043115976 hasConceptScore W2043115976C202444582 @default.
- W2043115976 hasConceptScore W2043115976C24890656 @default.
- W2043115976 hasConceptScore W2043115976C2524010 @default.
- W2043115976 hasConceptScore W2043115976C26873012 @default.
- W2043115976 hasConceptScore W2043115976C2781204021 @default.
- W2043115976 hasConceptScore W2043115976C31170391 @default.
- W2043115976 hasConceptScore W2043115976C33923547 @default.
- W2043115976 hasConceptScore W2043115976C46875033 @default.
- W2043115976 hasConceptScore W2043115976C56863137 @default.
- W2043115976 hasConceptScore W2043115976C90626534 @default.
- W2043115976 hasConceptScore W2043115976C95136341 @default.
- W2043115976 hasIssue "8" @default.
- W2043115976 hasLocation W20431159761 @default.
- W2043115976 hasOpenAccess W2043115976 @default.
- W2043115976 hasPrimaryLocation W20431159761 @default.
- W2043115976 hasRelatedWork W1969375917 @default.
- W2043115976 hasRelatedWork W2001247959 @default.
- W2043115976 hasRelatedWork W2043115976 @default.
- W2043115976 hasRelatedWork W2313843210 @default.
- W2043115976 hasRelatedWork W2323097435 @default.
- W2043115976 hasRelatedWork W2619453705 @default.
- W2043115976 hasRelatedWork W2950805708 @default.
- W2043115976 hasRelatedWork W3182351246 @default.
- W2043115976 hasRelatedWork W4298346604 @default.
- W2043115976 hasRelatedWork W2528378763 @default.
- W2043115976 hasVolume "20" @default.
- W2043115976 isParatext "false" @default.
- W2043115976 isRetracted "false" @default.
- W2043115976 magId "2043115976" @default.
- W2043115976 workType "article" @default.