FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W79069218> ?p ?o ?g. }

• W79069218 abstract "The pair distribution function (PDF) that can be obtained by Fourier transformation of powder diffraction data, traditionally was used to describe short range correlations in atomic positions. Amplitudes of peaks in experimental PDF decay as distance increases. Thus it was always assumed that PDF at large distances is featureless. Puzzled by the observation that PDF calculated for crystalline materials does not decay at large distances, if instrumental resolution is ignored, we studied the behavior of PDF at large distances. To the best of our knowledge, the origin of the PDF decay at large distances was never carefully discussed. It turns out, surprisingly, that increase in the number of neighbors at large distances does not lead to the decay of PDF independently from the type of the material. In other words PDF calculated with respect to one atom does not decay at large distances not only for the crystalline, but also for amorphous materials. We found that this behavior in amorphous materials is caused by random fluctuations in the radial number density. Thus PDF in amorphous materials decays mostly due to ensemble averaging over different central atoms. We achieve accurate quantative description of fluctuations for the case when atoms distributed randomly in space. Differences with amorphous case are discussed. The case of perfect single component crystals is the most interesting because in it all atomic positions are equivalent and there is no need to perform averaging over different atoms. Thus total measurable PDF for perfect crystals does not decay at large distances if instrumental resolution is ignored. However the origin of this behavior in crystals is significantly more complicated and this behavior of PDF is related to the still unsolved circle problem that C. Gauss formulated more than hundred years ago and that gave rise to the whole area in mathematics called lattice point theory. Further investigation of this case is obviously needed. For generality we discuss the case of PDF in d-dimensional space. Our results can be used to measure the amount of dislocations in crystalline materials and to test instrumental resolution in scattering experiments." @default.
• W79069218 created "2016-06-24" @default.
• W79069218 creator A5032839815 @default.
• W79069218 creator A5062717673 @default.
• W79069218 creator A5065794019 @default.
• W79069218 date "2003-03-01" @default.
• W79069218 modified "2023-09-23" @default.
• W79069218 title "Absence of decay in the amplitude of pair distribution functions at large distances" @default.
• W79069218 cites W128963739 @default.
• W79069218 cites W1992930621 @default.
• W79069218 cites W2026011478 @default.
• W79069218 cites W2091033730 @default.
• W79069218 cites W2140854698 @default.
• W79069218 cites W2265780406 @default.
• W79069218 hasPublicationYear "2003" @default.
• W79069218 type Work @default.
• W79069218 sameAs 79069218 @default.
• W79069218 citedByCount "0" @default.
• W79069218 crossrefType "journal-article" @default.
• W79069218 hasAuthorship W79069218A5032839815 @default.
• W79069218 hasAuthorship W79069218A5062717673 @default.
• W79069218 hasAuthorship W79069218A5065794019 @default.
• W79069218 hasConcept C102519508 @default.
• W79069218 hasConcept C105795698 @default.
• W79069218 hasConcept C120665830 @default.
• W79069218 hasConcept C121332964 @default.
• W79069218 hasConcept C138268822 @default.
• W79069218 hasConcept C149635348 @default.
• W79069218 hasConcept C154945302 @default.
• W79069218 hasConcept C159985019 @default.
• W79069218 hasConcept C180205008 @default.
• W79069218 hasConcept C185592680 @default.
• W79069218 hasConcept C192562407 @default.
• W79069218 hasConcept C197055811 @default.
• W79069218 hasConcept C204323151 @default.
• W79069218 hasConcept C207114421 @default.
• W79069218 hasConcept C2779992002 @default.
• W79069218 hasConcept C33923547 @default.
• W79069218 hasConcept C41008148 @default.
• W79069218 hasConcept C41999313 @default.
• W79069218 hasConcept C56052488 @default.
• W79069218 hasConcept C58312451 @default.
• W79069218 hasConcept C62520636 @default.
• W79069218 hasConcept C8010536 @default.
• W79069218 hasConceptScore W79069218C102519508 @default.
• W79069218 hasConceptScore W79069218C105795698 @default.
• W79069218 hasConceptScore W79069218C120665830 @default.
• W79069218 hasConceptScore W79069218C121332964 @default.
• W79069218 hasConceptScore W79069218C138268822 @default.
• W79069218 hasConceptScore W79069218C149635348 @default.
• W79069218 hasConceptScore W79069218C154945302 @default.
• W79069218 hasConceptScore W79069218C159985019 @default.
• W79069218 hasConceptScore W79069218C180205008 @default.
• W79069218 hasConceptScore W79069218C185592680 @default.
• W79069218 hasConceptScore W79069218C192562407 @default.
• W79069218 hasConceptScore W79069218C197055811 @default.
• W79069218 hasConceptScore W79069218C204323151 @default.
• W79069218 hasConceptScore W79069218C207114421 @default.
• W79069218 hasConceptScore W79069218C2779992002 @default.
• W79069218 hasConceptScore W79069218C33923547 @default.
• W79069218 hasConceptScore W79069218C41008148 @default.
• W79069218 hasConceptScore W79069218C41999313 @default.
• W79069218 hasConceptScore W79069218C56052488 @default.
• W79069218 hasConceptScore W79069218C58312451 @default.
• W79069218 hasConceptScore W79069218C62520636 @default.
• W79069218 hasConceptScore W79069218C8010536 @default.
• W79069218 hasLocation W790692181 @default.
• W79069218 hasOpenAccess W79069218 @default.
• W79069218 hasPrimaryLocation W790692181 @default.
• W79069218 hasRelatedWork W1490394703 @default.
• W79069218 hasRelatedWork W1982503313 @default.
• W79069218 hasRelatedWork W1984269573 @default.
• W79069218 hasRelatedWork W1996160331 @default.
• W79069218 hasRelatedWork W2006812728 @default.
• W79069218 hasRelatedWork W2008504079 @default.
• W79069218 hasRelatedWork W2015073263 @default.
• W79069218 hasRelatedWork W2026716107 @default.
• W79069218 hasRelatedWork W2036009652 @default.
• W79069218 hasRelatedWork W2036089750 @default.
• W79069218 hasRelatedWork W2052064786 @default.
• W79069218 hasRelatedWork W2057249138 @default.
• W79069218 hasRelatedWork W2059324903 @default.
• W79069218 hasRelatedWork W2065052432 @default.
• W79069218 hasRelatedWork W2068939410 @default.
• W79069218 hasRelatedWork W2102325624 @default.
• W79069218 hasRelatedWork W2122436699 @default.
• W79069218 hasRelatedWork W2145813487 @default.
• W79069218 hasRelatedWork W1998335643 @default.
• W79069218 hasRelatedWork W2031464208 @default.
• W79069218 hasVolume "2003" @default.
• W79069218 isParatext "false" @default.
• W79069218 isRetracted "false" @default.
• W79069218 magId "79069218" @default.
• W79069218 workType "article" @default.