Stereological analysis of nonspherical particles in solid metal

Tao Li, Shin Ich Shimasaki, Shoji Taniguchi, Kentaro Uesugi, Shunsuke Narita

Research output: Contribution to journalArticlepeer-review

15 Citations (Scopus)


We review in this article the stereological theory of particles and perform stereological analysis of nonspherical TiB2 particles dispersed in solid aluminum. The two-dimensional (2D) particle size distribution (PSD) obtained from a projected area (PSDP) of TiB2 powder and the three-dimensional (3D) PSD based on the volume of particles were independently measured by optical microscopy and the electrical sensing zone method, respectively. The results obtained by the two methods were compared by transforming between them, using a fitted fractal dimension for the particles. The probability mass function of the cross-sectional areas (CSAs) of single nonspherical particles was measured by sectioning 3D reconstructions of particles obtained from a series of X-ray micro-CT images. The transformation from 3D PSD to 2D PSD according to the CSA (PSDC) was performed based on the stereological model. The inverse problem for the transformation from the 2D PSDC to 3D PSD is discussed.

Original languageEnglish
Pages (from-to)750-761
Number of pages12
JournalMetallurgical and Materials Transactions B: Process Metallurgy and Materials Processing Science
Issue number3
Publication statusPublished - 2013 Jun
Externally publishedYes

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Metals and Alloys
  • Materials Chemistry


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