date: 2021-05-12T12:22:31Z pdf:unmappedUnicodeCharsPerPage: 0 pdf:PDFVersion: 1.4 pdf:docinfo:title: Tomographic X-ray scattering based on invariant reconstruction: analysis of the 3D nanostructure of bovine bone xmp:CreatorTool: pdftk 1.44 - www.pdftk.com dc:description: Small-angle X-ray scattering (SAXS) is an effective characterization technique for multi-phase nanocomposites. The structural complexity and heterogeneity of biological materials require the development of new techniques for the 3D characterization of their hierarchical structures. Emerging SAXS tomographic methods allow reconstruction of the 3D scattering pattern in each voxel but are costly in terms of synchrotron measurement time and computer time. To address this problem, an approach has been developed based on the reconstruction of SAXS invariants to allow for fast 3D characterization of nanostructured inhomogeneous materials. SAXS invariants are scalars replacing the 3D scattering patterns in each voxel, thus simplifying the 6D reconstruction problem to several 3D ones. Standard procedures for tomographic reconstruction can be directly adapted for this problem. The procedure is demonstrated by determining the distribution of the nanometric bone mineral particle thickness (T parameter) throughout a macroscopic 3D volume of bovine cortical bone. The T parameter maps display spatial patterns of particle thickness in fibrolamellar bone units. Spatial correlation between the mineral nano­structure and microscopic features reveals that the mineral particles are particularly thin in the vicinity of vascular channels. access_permission:modify_annotations: true access_permission:can_print_degraded: true description: Small-angle X-ray scattering (SAXS) is an effective characterization technique for multi-phase nanocomposites. The structural complexity and heterogeneity of biological materials require the development of new techniques for the 3D characterization of their hierarchical structures. Emerging SAXS tomographic methods allow reconstruction of the 3D scattering pattern in each voxel but are costly in terms of synchrotron measurement time and computer time. To address this problem, an approach has been developed based on the reconstruction of SAXS invariants to allow for fast 3D characterization of nanostructured inhomogeneous materials. SAXS invariants are scalars replacing the 3D scattering patterns in each voxel, thus simplifying the 6D reconstruction problem to several 3D ones. Standard procedures for tomographic reconstruction can be directly adapted for this problem. The procedure is demonstrated by determining the distribution of the nanometric bone mineral particle thickness (T parameter) throughout a macroscopic 3D volume of bovine cortical bone. The T parameter maps display spatial patterns of particle thickness in fibrolamellar bone units. Spatial correlation between the mineral nano­structure and microscopic features reveals that the mineral particles are particularly thin in the vicinity of vascular channels. dcterms:created: 2021-03-03T12:00:00Z Last-Modified: 2021-05-12T12:22:31Z dcterms:modified: 2021-05-12T12:22:31Z dc:format: application/pdf; version=1.4 title: Tomographic X-ray scattering based on invariant reconstruction: analysis of the 3D nanostructure of bovine bone xmpMM:DocumentID: uuid:9ef9c7c6-1482-4747-9ef8-bd9f65e5f2bc Last-Save-Date: 2021-05-12T12:22:31Z pdf:docinfo:creator_tool: pdftk 1.44 - www.pdftk.com access_permission:fill_in_form: true pdf:docinfo:modified: 2021-05-12T12:22:31Z meta:save-date: 2021-05-12T12:22:31Z pdf:encrypted: false dc:title: Tomographic X-ray scattering based on invariant reconstruction: analysis of the 3D nanostructure of bovine bone modified: 2021-05-12T12:22:31Z Content-Type: application/pdf X-Parsed-By: org.apache.tika.parser.DefaultParser meta:creation-date: 2021-03-03T12:00:00Z created: 2021-03-03T12:00:00Z access_permission:extract_for_accessibility: true access_permission:assemble_document: true xmpTPg:NPages: 12 Creation-Date: 2021-03-03T12:00:00Z pdf:charsPerPage: 3277 access_permission:extract_content: true access_permission:can_print: true producer: International Union of Crystallography access_permission:can_modify: true pdf:docinfo:producer: International Union of Crystallography pdf:docinfo:created: 2021-03-03T12:00:00Z