Matches in SemOpenAlex for { <https://semopenalex.org/work/W3202039094> ?p ?o ?g. }
Showing items 1 to 89 of
89
with 100 items per page.
- W3202039094 endingPage "1579" @default.
- W3202039094 startingPage "1574" @default.
- W3202039094 abstract "Abstract Crystallographic data from 5289 IMA-approved mineral species in the RRUFF database were used to examine the distribution of species among the 32 crystallographic point groups. It is found that within each crystal system, minerals strongly prefer point groups with higher group orders. Within a crystal system, the abundance of minerals belonging to each point group approximately obeys a power law with respect to group order, the same mathematical formalism that describes objects with fractal geometry. In this framework, each crystal system has its own fractal dimension; crystal systems possessing threefold (or sixfold) symmetry elements (i.e., trigonal, hexagonal, isometric) have significantly lower fractal dimension (<2), while those with only one-, two-, or fourfold symmetry elements (triclinic, monoclinic, orthorhombic, tetragonal) have higher fractal dimension (>2). While higher symmetry is preferred within a crystal system, the opposite trend is observed when comparing between crystal systems, with more species preferring crystals systems with lower order symmetry elements than those with higher order symmetry elements at constant group order. The combination of these two competing trends leads to a complex distribution of minerals among the crystal systems, and to the monoclinic group 2/m, the orthorhombic group 2/m2/m2/m, and the triclinic group 1 being the three most popular point groups, respectively. The fractal behavior of symmetry distribution among minerals points toward universal scaling patterns not just in physical, geometric objects but also in the way that symmetry is incorporated into natural periodic structures." @default.
- W3202039094 created "2021-10-11" @default.
- W3202039094 creator A5065366261 @default.
- W3202039094 date "2021-10-01" @default.
- W3202039094 modified "2023-09-23" @default.
- W3202039094 title "Fractal distribution of mineral species among the crystallographic point groups" @default.
- W3202039094 cites W1484932034 @default.
- W3202039094 cites W1966697908 @default.
- W3202039094 cites W1969686549 @default.
- W3202039094 cites W1971431355 @default.
- W3202039094 cites W1971960626 @default.
- W3202039094 cites W1976914530 @default.
- W3202039094 cites W2011635257 @default.
- W3202039094 cites W2016473385 @default.
- W3202039094 cites W2057621739 @default.
- W3202039094 cites W2064156154 @default.
- W3202039094 cites W2081242057 @default.
- W3202039094 cites W2098691535 @default.
- W3202039094 cites W2105934618 @default.
- W3202039094 cites W2109814545 @default.
- W3202039094 cites W2168010319 @default.
- W3202039094 cites W2758418663 @default.
- W3202039094 cites W2943412363 @default.
- W3202039094 cites W2948757146 @default.
- W3202039094 cites W3021520527 @default.
- W3202039094 cites W3211985345 @default.
- W3202039094 doi "https://doi.org/10.2138/am-2021-7698" @default.
- W3202039094 hasPublicationYear "2021" @default.
- W3202039094 type Work @default.
- W3202039094 sameAs 3202039094 @default.
- W3202039094 citedByCount "2" @default.
- W3202039094 countsByYear W32020390942022 @default.
- W3202039094 crossrefType "journal-article" @default.
- W3202039094 hasAuthorship W3202039094A5065366261 @default.
- W3202039094 hasConcept C115624301 @default.
- W3202039094 hasConcept C121332964 @default.
- W3202039094 hasConcept C134306372 @default.
- W3202039094 hasConcept C170751736 @default.
- W3202039094 hasConcept C185592680 @default.
- W3202039094 hasConcept C199360897 @default.
- W3202039094 hasConcept C2524010 @default.
- W3202039094 hasConcept C2781285689 @default.
- W3202039094 hasConcept C33923547 @default.
- W3202039094 hasConcept C37243968 @default.
- W3202039094 hasConcept C40636538 @default.
- W3202039094 hasConcept C41008148 @default.
- W3202039094 hasConcept C42228675 @default.
- W3202039094 hasConcept C44306375 @default.
- W3202039094 hasConcept C57796230 @default.
- W3202039094 hasConcept C61276311 @default.
- W3202039094 hasConcept C8010536 @default.
- W3202039094 hasConceptScore W3202039094C115624301 @default.
- W3202039094 hasConceptScore W3202039094C121332964 @default.
- W3202039094 hasConceptScore W3202039094C134306372 @default.
- W3202039094 hasConceptScore W3202039094C170751736 @default.
- W3202039094 hasConceptScore W3202039094C185592680 @default.
- W3202039094 hasConceptScore W3202039094C199360897 @default.
- W3202039094 hasConceptScore W3202039094C2524010 @default.
- W3202039094 hasConceptScore W3202039094C2781285689 @default.
- W3202039094 hasConceptScore W3202039094C33923547 @default.
- W3202039094 hasConceptScore W3202039094C37243968 @default.
- W3202039094 hasConceptScore W3202039094C40636538 @default.
- W3202039094 hasConceptScore W3202039094C41008148 @default.
- W3202039094 hasConceptScore W3202039094C42228675 @default.
- W3202039094 hasConceptScore W3202039094C44306375 @default.
- W3202039094 hasConceptScore W3202039094C57796230 @default.
- W3202039094 hasConceptScore W3202039094C61276311 @default.
- W3202039094 hasConceptScore W3202039094C8010536 @default.
- W3202039094 hasIssue "10" @default.
- W3202039094 hasLocation W32020390941 @default.
- W3202039094 hasOpenAccess W3202039094 @default.
- W3202039094 hasPrimaryLocation W32020390941 @default.
- W3202039094 hasRelatedWork W1535648592 @default.
- W3202039094 hasRelatedWork W15903973 @default.
- W3202039094 hasRelatedWork W2073959122 @default.
- W3202039094 hasRelatedWork W2087026200 @default.
- W3202039094 hasRelatedWork W209031764 @default.
- W3202039094 hasRelatedWork W2104742556 @default.
- W3202039094 hasRelatedWork W2165688487 @default.
- W3202039094 hasRelatedWork W2951396859 @default.
- W3202039094 hasRelatedWork W3023359194 @default.
- W3202039094 hasRelatedWork W4297985151 @default.
- W3202039094 hasVolume "106" @default.
- W3202039094 isParatext "false" @default.
- W3202039094 isRetracted "false" @default.
- W3202039094 magId "3202039094" @default.
- W3202039094 workType "article" @default.