Matematičko modeliranje raspodjela veličina čestica određenih visoko-razlučivom transmisijskom elektronskom mikroskopijom

master's thesis

• Title (english): Mathematical modelling of the grain size distributions obtained by HRTEM
• Author: Iva Jarec
• Mentor: Željko Skoko (mentor)
• Committee member: Željko Skoko (predsjednik povjerenstva)
• Committee member: Dalibor Paar (član povjerenstva)
• Committee member: Ivica Smolić (član povjerenstva)
• Committee member: Damir Pajić (član povjerenstva)
• Committee member: Davor Horvatić (član povjerenstva)
• Granter: University of Zagreb; Faculty of Science; (Department of Physics); Zagreb
• Defense date and country: 2020-01-15, Croatia
• Scientific / art field, discipline and subdiscipline: NATURAL SCIENCES; Physics

Abstract

U uvodnom dijelu diplomskog rada bit će prikazan povijesni razvoj matematičkog formalizma raspodjela veličina čestica u nanomaterijalima. Nekoliko primjera (uzoraka) bit će snimljeni na visoko-razlučivom transmisijskom mikroskopu na FO PMF-a, s detaljnim prikazom mjerenja i mehanizma snimanja na mikroskopu. Snimke će biti analizirane u smislu određivanja veličina čestica. U konačnom dijelu veličine čestica će biti prilagođavane na različite raspodjele (Gaussova, log-normalna), u okviru programskog jezika i paketa za statističku i grafičku obradu 'R' i na temelju dobivenih rezultata će biti određena matematička funkcija koja na najbolji način opisuje raspodjelu čestica u materijalu.

Abstract (english)

In the introductory part of the diploma thesis, the historical development of the mathematical formalism of the grain size distributions in nanomaterials will be shown. Several examples (samples) will be recorded by the high-resolution transmission electronic microscope at the Department of Physics at the Faculty of Science, with a detailed display of the measurements and the imaging mechanism on the microscope. Images will be analysed due to the determining of the particle sizes. In the final part of the thesis, particle sizes will be fitted to the various distributions (Gauss, log-normal), within the programming language and the package for the statistical and graphical processing 'R', and based on the obtained results, mathematical function which describes the distribution in the best way will be determined.

• Keywords: veličina čestica
• Language: croatian
• URN:NBN: urn:nbn:hr:217:928649
• Study programme: Title: Physics and Computer Science; Study programme type: university; Study level: graduate; Academic / professional title: profesor fizike i informatike (profesor fizike i informatike)
• Type of resource: Text
• File origin: Born digital
• Access conditions: Open access
• Created on: 2020-03-12 11:45:39