Modeling small‐angle scattering data of porous and/or bicontinuous structures in n dimensions.
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| Title: | Modeling small‐angle scattering data of porous and/or bicontinuous structures in n dimensions. |
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| Authors: | Frielinghaus, Henrich1 (AUTHOR) h.frielinghaus@fz-juelich.de |
| Source: | Journal of Applied Crystallography. Jun2026, Vol. 59 Issue 3, p837-844. 8p. |
| Subjects: | Small-angle scattering, Porosity, Microstructure, Scattering (Physics), Fractals |
| Abstract: | Fractal structures are often observed in small‐angle scattering experiments where a simple power law q−α describes the scattering intensity over many orders of magnitude. Most theories, however, level off towards lower q in a Guinier scattering that describes a simple maximum size with no specific structure. There is a demand for a scattering model for porous structures with repeated domains of a certain size. This is then observed experimentally as a scattering peak that decays in a power law towards higher q. The starting point for the model presented here is the well known Teubner–Strey theory for bicontinuous microemulsions, which is modified to different dimensionalities to match the desired power law. A combination of several such model functions can describe scattering profiles along multiple length scales, similarly to the well known Beaucage model. [ABSTRACT FROM AUTHOR] |
| Copyright of Journal of Applied Crystallography is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 194204561 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Modeling small‐angle scattering data of porous and/or bicontinuous structures in n dimensions. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Frielinghaus%2C+Henrich%22">Frielinghaus, Henrich</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> h.frielinghaus@fz-juelich.de</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Journal+of+Applied+Crystallography%22">Journal of Applied Crystallography</searchLink>. Jun2026, Vol. 59 Issue 3, p837-844. 8p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Small-angle+scattering%22">Small-angle scattering</searchLink><br /><searchLink fieldCode="DE" term="%22Porosity%22">Porosity</searchLink><br /><searchLink fieldCode="DE" term="%22Microstructure%22">Microstructure</searchLink><br /><searchLink fieldCode="DE" term="%22Scattering+%28Physics%29%22">Scattering (Physics)</searchLink><br /><searchLink fieldCode="DE" term="%22Fractals%22">Fractals</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: Fractal structures are often observed in small‐angle scattering experiments where a simple power law q−α describes the scattering intensity over many orders of magnitude. Most theories, however, level off towards lower q in a Guinier scattering that describes a simple maximum size with no specific structure. There is a demand for a scattering model for porous structures with repeated domains of a certain size. This is then observed experimentally as a scattering peak that decays in a power law towards higher q. The starting point for the model presented here is the well known Teubner–Strey theory for bicontinuous microemulsions, which is modified to different dimensionalities to match the desired power law. A combination of several such model functions can describe scattering profiles along multiple length scales, similarly to the well known Beaucage model. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Journal of Applied Crystallography is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1107/S1600576726002451 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 8 StartPage: 837 Subjects: – SubjectFull: Small-angle scattering Type: general – SubjectFull: Porosity Type: general – SubjectFull: Microstructure Type: general – SubjectFull: Scattering (Physics) Type: general – SubjectFull: Fractals Type: general Titles: – TitleFull: Modeling small‐angle scattering data of porous and/or bicontinuous structures in n dimensions. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Frielinghaus, Henrich IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 06 Text: Jun2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 00218898 Numbering: – Type: volume Value: 59 – Type: issue Value: 3 Titles: – TitleFull: Journal of Applied Crystallography Type: main |
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