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



Document title: Approximate fractal morphometry of spherical type essential oil microemulsions: A simple model
Journal: Revista mexicana de física
Database: PERIÓDICA
System number: 000454124
ISSN: 0035-001X
Authors: 1
2
1
1
1
Institutions: 1Universidad de Sonora, Departamento de Ciencias de la Salud, Ciudad Obregón, Sonora. México
2Centro de Investigación en Alimentación y Desarrollo, Hermosillo Sonora. México
Year:
Season: Sep-Oct
Volumen: 68
Number: 5
Country: México
Language: Inglés
Document type: Artículo
Approach: Analítico, teórico
English abstract 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
Disciplines: Física y astronomía,
Matemáticas
Keyword: Física,
Matemáticas puras,
Microemulsiones,
Aceites esenciales,
Micelas esféricas,
Modelos fractales continuos,
Geometría,
Topología
Keyword: Physics,
Pure mathematics,
Microemulsions,
Oil essentials,
Spherical micelles,
Continuous fractal models,
Geometry,
Topology
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