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VERSION:2.0
PRODID:-//University of Liverpool Computer Science Seminar System//v2//EN
BEGIN:VEVENT
DTSTAMP:20260922T101138Z
UID:Seminar-MIF-1406@lxserverM.csc.liv.ac.uk
ORGANIZER:CN=Othon Michail:MAILTO:Othon.Michail@liverpool.ac.uk
DTSTART:20230315T140000
DTEND:20230315T150000
SUMMARY:MIF Series
DESCRIPTION:Nicholas Kotov: Chirality-Complexity Relations and Graph Theory of Nanostructures.\n\nSince Leonardo Da Vinci discoveries in science and engineering were inspired by evolution-optimized geometry of molecules, tissues, and organisms found in biology using non-biological preparatory techniques. Chiral nanostructures – a large and rapidly evolving class of metal, semiconductor, and ceramic materials is one of these materials. Besides fascinating optical, catalytic, and biological properties, the studies of chiral nanostructures revealed something more. Unlike other geometric properties, mirror asymmetry is invariant to scales. Thus, the synthesis and self-assembly of chiral nanostructures showed how basic geometric properties of Nature’s smallest building blocks can produce highly complex and adaptable structures at macroscale.\nAnalysis of the hierarchically organized micro- and macrostructures obtained by self-assembly of the chiral nanoparticles (NPs) demonstrated the mechanism of emergence of effective complexity in such systems and how such diversity of the building blocks contributes to it. These findings became possible by applying graph theory (GT) for calculation of the quantitative measures of their complexity by describing the constituent NPs as nodes and the interfaces between them as edges of graphs. Taking an example of hierarchically organized particles with twisted spikes from polydisperse Au-cystein nanoplatelets [1], we found that (a) formation of complex structures does not require monodispersity; (b) complexity index (CI) of the synthetic particles can be higher than biological prototypes; and (c) complexity emerges from competing chirality-dependent assembly restrictions. The GT description of chiral hedgehogs can also be expanded to other nanoscale structures creating analogs of chemical formulas for particle systems [2]. Among other outcomes of the analysis of the chirality-complexity relations, GT-based description of nanostructures leads to quantitative description of biomimetic materials combining order and disorder that is essential to their functionality. Expansion of GT principles from particles to composites enabled transition from inexact approach of their good-luck-based engineering to function-driven design encompassing multiple properties. While this work is still in progress, the methods of GT-based biomimetic materials engineering can be demonstrated by the multiparameter optimization of complex networks of aramid nanofibers for batteries for robotics [3] and biomedical implants [4]. Full abstract with images in pdf.\nReferences\n[1] W. Jiang, et al, Emergence of Complexity in Hierarchically Organized Chiral Particles, Science, 2020, 368, 6491, 642.\n[2] S. Zhou, et al, Chiral assemblies of pinwheel superlattices on substrates, Nature, 2022, 612, 259.\n[3] Wang, M.; Vecchio, D.; et al Biomorphic Structural Batteries for Robotics. Sci. Robot. 2020, 5 (45), eaba1912.\n[4] H. Zhang, et al Graph Theoretical Design of Biomimetic Aramid Nanofiber Nanocomposites as Insulation Coatings for Implantable Bioelectronics, MRS Bulletin, 2021, 46, 7, 576.\n\nhttps://www.csc.liv.ac.uk/research/seminars/abstract.php?id=1406
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