Multidimensional Particle Size Distributions and Their Application to Nonspherical Particle Systems in Two Dimensions

Beitrag in einer Fachzeitschrift


Details zur Publikation

Autorinnen und Autoren: Frank U, Wawra S, Pflug L, Peukert W
Zeitschrift: Particle and Particle Systems Characterization
Jahr der Veröffentlichung: 2019
ISSN: 1521-4117


Abstract

Particle science and technology evolve toward ever increasing complexity with respect to the multidimensional particle properties of size, shape, surface, internal structure, and composition. In this study, the theoretical background is elaborated for multidimensional particle size distributions (PSDs) by transferring the concepts known from 1D size distributions to anisotropic particles comprising at least two different length dimensions, e.g., nanorods and platelets. After introducing 2D PSDs, the calculation of differently weighted probability density functions including their interconversion is presented. This is necessary in order to compare data resulting from different measurement techniques which probe different physical properties and thus provide differently weighted PSDs. In addition, it is shown how 1D distributions with reduced content of information can be deduced from 2D PSDs. As a proof-of-concept and for illustration purposes, this approach is applied to a 2D Gaussian size distribution. Furthermore, a generalized scheme is suggested which outlines the conversion of number, surface, and volume weighted densities within the 2D space. The application of these methods to the more general n-dimensional case is straightforward.


FAU-Autorinnen und Autoren / FAU-Herausgeberinnen und Herausgeber

Frank, Uwe
Lehrstuhl für Feststoff- und Grenzflächenverfahrenstechnik
Peukert, Wolfgang Prof. Dr.-Ing.
Lehrstuhl für Feststoff- und Grenzflächenverfahrenstechnik
Pflug, Lukas Dr.
Professur für Angewandte Mathematik (Kontinuierliche Optimierung)
Wawra, Simon
Lehrstuhl für Feststoff- und Grenzflächenverfahrenstechnik


Zitierweisen

APA:
Frank, U., Wawra, S., Pflug, L., & Peukert, W. (2019). Multidimensional Particle Size Distributions and Their Application to Nonspherical Particle Systems in Two Dimensions. Particle and Particle Systems Characterization. https://dx.doi.org/10.1002/ppsc.201800554

MLA:
Frank, Uwe, et al. "Multidimensional Particle Size Distributions and Their Application to Nonspherical Particle Systems in Two Dimensions." Particle and Particle Systems Characterization (2019).

BibTeX: 

Zuletzt aktualisiert 2019-07-06 um 06:08