Approximate fractal morphometry of spherical type essential oil microemulsions: A simple model

J. C. Campos-Garcıa*, L. Quihui-Cota, O. R. Gomez-Aldama, M. A. Lopez-Mata, R. G. Valdez-Melchor

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


In the present study, the approximate fractal morphometry of spherical-type essential oil microemulsions was performed. The geometric fractal characterization was carried out by a recently published continuous half-fractal model which allowed to model microemulsions as systems in their stable thermodynamic equilibrium phase with high degree of homogeneity. Regarding the characteristic of high homogeneity an equation was developed to roughly describe the volume fractal dimension and the fractal volume of two special cases elaborated from Rosmarinus officinalis and Melaleuca alternifolia previously investigated. In addition, referring to the characteristic of high homogeneity, it was possible to approximate the fractal dimension of area and the fractal area for each microemulsion. Our numerical estimates showed coherence with the principles of Hausdorff-Besicovitch geometry and with the experimental evidence about the physical dimension as a non-integer dimension.

Original languageEnglish
Article number051401
JournalRevista Mexicana de Fisica
Issue number5
StatePublished - Sep 2022
Externally publishedYes

Bibliographical note

Funding Information:
We thank to the Centro de Investigación en Alimentacion y Desarrollo and the Universidad de Sonora by the support to realize this scientific contribution.

Publisher Copyright:
© 2022, Revista Mexicana de Fisica. All Rights Reserved.


  • Continuous fractal models
  • Geometry and topology
  • Microemulsions of oil essentials
  • Spherical micelles


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