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Quantitative Description of Isomorphism in the Series of Simple Compounds

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cris.virtualsource.author-orcid36173a57-3417-4bf8-99ea-e027717d422c
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dc.abstract.enThe introduction of the notion of energy change resulting from the ion exchange in apatites leads to the question: how can some simple isomorphic series be described using the mentioned idea? We concentrated on the simple isomorphic series of compounds: apatite, bioapatite, calcite, aragonite, celestine, K-, Zn- and Cu-Tutton’s salts. It was demonstrated in all the series, except Tutton’s salts, that the change in energy and the change in the crystal cell volume are, in a simple way, dependent on the change in the ionic radii of the introduced ions. The linear relationships between the variations in energy and in the universal crystallographic dimension d were derived from the earlier equations and proven based on available data. In many cases, except the Tutton’s salts, linear dependence was discovered between the change in energy and the sinus of universal angle Θ, corresponding to the change in momentum transfer. In the same cases, linear dependencies were observed between the energy changes and the changes in the volumes of crystallographic cells, and mutually between changes in the crystallographic cell volume V, crystallographic dimension d, and diffraction angle
dc.affiliationWydział Nauk o Żywności i Żywieniu
dc.affiliation.instituteKatedra Mleczarstwa i Inżynierii Procesowej
dc.affiliation.instituteKatedra Fizyki i Biofizyki
dc.contributor.authorKuczumow, Andrzej
dc.contributor.authorGorzelak, Mieczysław
dc.contributor.authorKosiński, Jakub
dc.contributor.authorLasota, Agnieszka
dc.contributor.authorSzabelska, Anna
dc.contributor.authorBlicharski, Tomasz
dc.contributor.authorGągała, Jacek
dc.contributor.authorWawrzyniak, Jolanta
dc.contributor.authorJarzębski, Maciej
dc.contributor.authorJabłoński, Mirosław
dc.date.access2025-06-30
dc.date.accessioned2025-10-09T09:01:39Z
dc.date.available2025-10-09T09:01:39Z
dc.date.copyright2023-07-11
dc.date.issued2023
dc.description.abstract<jats:p>The introduction of the notion of energy change resulting from the ion exchange in apatites leads to the question: how can some simple isomorphic series be described using the mentioned idea? We concentrated on the simple isomorphic series of compounds: apatite, bioapatite, calcite, aragonite, celestine, K-, Zn- and Cu-Tutton’s salts. It was demonstrated in all the series, except Tutton’s salts, that the change in energy and the change in the crystal cell volume are, in a simple way, dependent on the change in the ionic radii of the introduced ions. The linear relationships between the variations in energy and in the universal crystallographic dimension d were derived from the earlier equations and proven based on available data. In many cases, except the Tutton’s salts, linear dependence was discovered between the change in energy and the sinus of universal angle Θ, corresponding to the change in momentum transfer. In the same cases, linear dependencies were observed between the energy changes and the changes in the volumes of crystallographic cells, and mutually between changes in the crystallographic cell volume V, crystallographic dimension d, and diffraction angle Θ.</jats:p>
dc.description.accesstimeat_publication
dc.description.bibliographyil., bibliogr.
dc.description.financepublication_nocost
dc.description.financecost0,00
dc.description.if4,9
dc.description.number14
dc.description.points140
dc.description.versionfinal_author
dc.description.volume24
dc.identifier.doi10.3390/ijms241411324
dc.identifier.eissn1422-0067
dc.identifier.issn1661-6596
dc.identifier.urihttps://sciencerep.up.poznan.pl/handle/item/5328
dc.identifier.weblinkhttp://www.mdpi.com/1422-0067/24/14/11324
dc.languageen
dc.relation.ispartofInternational Journal of Molecular Sciences
dc.relation.pagesart. 11324
dc.rightsCC-BY
dc.sciencecloudnosend
dc.share.typeOPEN_JOURNAL
dc.subject.enisomorphic series
dc.subject.enX-ray diffraction
dc.subject.enenergy of crystallographic transformations
dc.subject.enapatites
dc.subject.enchange in universal crystallographic dimension
dc.titleQuantitative Description of Isomorphism in the Series of Simple Compounds
dc.typeJournalArticle
dspace.entity.typePublication
oaire.citation.issue14
oaire.citation.volume24