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Fractals, morphogenesis and triply periodic minimal surfaces in sol–gel-derived thin films

Authors:
  • Institute of Silicate Chemistry of Russian Academy of Science, Sain-Petersburg, Russia
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Abstract and Figures

The paper briefly reports on a contemporary view of the fractal structure of tetraethoxysilane (TEOS)- derived sol–gel synthesis products including in the presence of inorganic dopants and organic modifiers (H3PO4, polyionene, i.e., a high molecular weight quaternary ammonium compound, and epoxy resin), relying on the author’s and literature data. Morphological features of thin film surfaces and the effect of additives of inorganic salts and acids (Co(NO3)2, Al(NO3)3, H3BO3, HNO3, and HCl) thereon were analysed. The influence of spin-coating conditions (temperature and relative humidity) was also investigated, as exemplified by borosilicate “spin-on glass” films. The major components of film-forming TEOS-derived sols (TEOS and H3BO3, TEOS and epoxy-resin) were considered as morphogens. Moreover, their contribution to the formation of 2D and 3D stable spatial structures that were close to Turing patterns according to their configuration was assayed. An opportunity of formation of triply periodic minimal surfaces in thin-layer structures in the result of self-organization of viscous epoxy-siloxane sols has been discussed. Self-organization phenomena that are inherent in sol–gel systems based on tetraethoxysilane (TEOS) including those modified with inorganic dopants and organic modifiers are illustrated in TEM-, optical-, and AFM-images of the thin films surface. Two main types of fractal organization (mass and surface fractals) of silicophosphate sols both unmodified and modified with an organic modifier (polyionene) are exemplified in TEM-images. The possibility of the formation of stable spatial structures similar in surface morphology to Turing patterns, including those of the biological objects (animal prints), is illustrated by optical images of the surface morphology of thin epoxy-siloxane films, both unmodified and modified with the additive of detonation nanodiamonds. The possibility of the formation of sol–gel composites close in topology to triply periodic minimal surfaces is illustrated in the AFM-image of an epoxy-siloxane film in comparison with the Spit-P surface model. Self-organization phenomena that are inherent in sol–gel systems based on tetraethoxysilane (TEOS) including those modified with inorganic dopants and organic modifiers are illustrated in TEM-, optical-, and AFM-images of the thin films surface. Two main types of fractal organization (mass and surface fractals) of silicophosphate sols both unmodified and modified with an organic modifier (polyionene) are exemplified in TEM-images. The possibility of the formation of stable spatial structures similar in surface morphology to Turing patterns, including those of the biological objects (animal prints), is illustrated by optical images of the surface morphology of thin epoxy-siloxane films, both unmodified and modified with the additive of detonation nanodiamonds. The possibility of the formation of sol–gel composites close in topology to triply periodic minimal surfaces is illustrated in the AFM-image of an epoxy-siloxane film in comparison with the Spit-P surface model. The TEOS- and dopants-derived sols are usually multilevel fractal objects of mass or surface type.Stable spatial structures of various configurations can form in thin TEOS-derived thin films.Turing patterns can form in thin films obtained by spin-coating from TEOS-derived sols including doped ones.Precursors of sol–gel synthesis (i.e., TEOS–H3BO3, TEOS–epoxy resin) can be considered as morphogens.Viscous epoxy-siloxane sols can form films with a structure close to triply periodic minimal surfaces. The TEOS- and dopants-derived sols are usually multilevel fractal objects of mass or surface type. Stable spatial structures of various configurations can form in thin TEOS-derived thin films. Turing patterns can form in thin films obtained by spin-coating from TEOS-derived sols including doped ones. Precursors of sol–gel synthesis (i.e., TEOS–H3BO3, TEOS–epoxy resin) can be considered as morphogens. Viscous epoxy-siloxane sols can form films with a structure close to triply periodic minimal surfaces.
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Journal of Sol-Gel Science and Technology (2020) 95:599608
https://doi.org/10.1007/s10971-020-05279-y
REVIEW PAPER: SOL-GEL, HYBRIDS AND SOLUTION CHEMISTRIES
Fractals, morphogenesis and triply periodic minimal surfaces
in solgel-derived thin lms
Olga A. Shilova 1
Received: 30 November 2019 / Accepted: 29 February 2020 / Published online: 25 March 2020
© Springer Science+Business Media, LLC, part of Springer Nature 2020
Abstract
The paper briey reports on a contemporary view of the fractal structure of tetraethoxysilane (TEOS)- derived solgel
synthesis products including in the presence of inorganic dopants and organic modiers (H3PO4, polyionene, i.e., a high
molecular weight quaternary ammonium compound, and epoxy resin), relying on the authors and literature data.
Morphological features of thin lm surfaces and the effect of additives of inorganic salts and acids (Co(NO3)2, Al(NO3)3,
H3BO3,HNO
3, and HCl) thereon were analysed. The inuence of spin-coating conditions (temperature and relative
humidity) was also investigated, as exemplied by borosilicate spin-on glasslms. The major components of lm-forming
TEOS-derived sols (TEOS and H3BO3, TEOS and epoxy-resin) were considered as morphogens. Moreover, their
contribution to the formation of 2D and 3D stable spatial structures that were close to Turing patterns according to their
conguration was assayed. An opportunity of formation of triply periodic minimal surfaces in thin-layer structures in the
result of self-organization of viscous epoxy-siloxane sols has been discussed.
Graphical Abstract
Self-organization phenomena that are inherent in solgel systems based on tetraethoxysilane (TEOS) including those
modied with inorganic dopants and organic modiers are illustrated in TEM-, optical-, and AFM-images of the thin lms
surface. Two main types of fractal organization (mass and surface fractals) of silicophosphate sols both unmodied and
modied with an organic modier (polyionene) are exemplied in TEM-images. The possibility of the formation of stable
spatial structures similar in surface morphology to Turing patterns, including those of the biological objects (animal prints),
is illustrated by optical images of the surface morphology of thin epoxy-siloxane lms, both unmodied and modied with
the additive of detonation nanodiamonds. The possibility of the formation of solgel composites close in topology to triply
periodic minimal surfaces is illustrated in the AFM-image of an epoxy-siloxane lm in comparison with the Spit-P
surface model.
*Olga A. Shilova
olgashilova@bk.ru
1Institute of Silicate Chemistry of the Russian Academy of
Sciences, St. Petersburg, Russia
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