TY - JOUR
T1 - Approximate fractal morphometry of spherical type essential oil microemulsions
T2 - A simple model
AU - Campos-Garcıa, J. C.
AU - Quihui-Cota, L.
AU - Gomez-Aldama, O. R.
AU - Lopez-Mata, M. A.
AU - Valdez-Melchor, R. G.
N1 - Publisher Copyright:
© 2022, Revista Mexicana de Fisica. All Rights Reserved.
PY - 2022/9
Y1 - 2022/9
N2 - 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.
AB - 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.
KW - Continuous fractal models
KW - Geometry and topology
KW - Microemulsions of oil essentials
KW - Spherical micelles
UR - http://www.scopus.com/inward/record.url?scp=85137710791&partnerID=8YFLogxK
U2 - 10.31349/RevMexFis.68.051401
DO - 10.31349/RevMexFis.68.051401
M3 - Artículo
AN - SCOPUS:85137710791
SN - 0035-001X
VL - 68
JO - Revista Mexicana de Fisica
JF - Revista Mexicana de Fisica
IS - 5
M1 - 051401
ER -