Summary
Methods are described for the determination of the number of ellipsoidal particles (rotatory ellipsoids which all have the same axial ratio), their mean axis, their standard deviation and their mean volume from measurements made on random plane sections. Confidence intervals are given for the estimation of the axial ratio of the particles.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Literaturverzeichnis
Bach, G.,Über die Bestimmung von charakteristischen Grössen einer Kugelverteilung aus der Verteilung der Schnittkreise Z. wiss. Mikrosk.65, 285–291 (1963).
Bach, G.,Über die Bestimmung der Anzahl dreiachsiger Ellipsoide aus der Anzahl ihrer Schnittellipsen in zufälligen Schnittebenen. ZAMP15, 205–209 (1964).
De Hoff, R. T.,The Determination of the Size Distribution of Ellipsoidal Particles from Measurements Made on Random Plane Sections. Transactions of the Metallurgical Society of AIME224, 474–477 (1962).
Fisz, M.,Wahrscheinlichkeitsrechnung und Mathematische Statistik (Berlin 1958).
Hennig, A. undElias, H.,Theoretical and Experimental Investigations on Sections of Rotatory Ellipsoids. Z. wiss. Mikrosk.65, 133–145 (1963).
Author information
Authors and Affiliations
Additional information
33 Braunschweig, Oppelnstrasse 28/VI.
Rights and permissions
About this article
Cite this article
Bach, G. Zufallsschnitte durch ein Haufwerk von Rotationsellipsoiden mit konstantem Achsenverhältnis. Journal of Applied Mathematics and Physics (ZAMP) 16, 224–232 (1965). https://doi.org/10.1007/BF01587648
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01587648