Platonic Micelles: Monodisperse Micelles with Discrete Aggregation Numbers Corresponding to Regular Polyhedra

The concept of micelles was first proposed in 1913 by McBain and has rationalized numerous experimental results of the self-aggregation of surfactants. It is generally agreed that the aggregation number ( N agg ) for spherical micelles has no exact value and a certain distribution. However, our stud...

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Published in:Scientific reports 2017-03, Vol.7 (1), p.44494-44494, Article 44494
Main Authors: Fujii, Shota, Yamada, Shimpei, Matsumoto, Sakiko, Kubo, Genki, Yoshida, Kenta, Tabata, Eri, Miyake, Rika, Sanada, Yusuke, Akiba, Isamu, Okobira, Tadashi, Yagi, Naoto, Mylonas, Efstratios, Ohta, Noboru, Sekiguchi, Hiroshi, Sakurai, Kazuo
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Micelles
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Polyhedra
Science
Surfactants
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cited_by cdi_FETCH-LOGICAL-c438t-b0329bdf8cd0321f00e07e4e9ca2d6b98630a731e010696b698910d77460e59e3
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creator Fujii, Shota
Yamada, Shimpei
Matsumoto, Sakiko
Kubo, Genki
Yoshida, Kenta
Tabata, Eri
Miyake, Rika
Sanada, Yusuke
Akiba, Isamu
Okobira, Tadashi
Yagi, Naoto
Mylonas, Efstratios
Ohta, Noboru
Sekiguchi, Hiroshi
Sakurai, Kazuo
description The concept of micelles was first proposed in 1913 by McBain and has rationalized numerous experimental results of the self-aggregation of surfactants. It is generally agreed that the aggregation number ( N agg ) for spherical micelles has no exact value and a certain distribution. However, our studies of calix[4]arene surfactants showed that they were monodisperse with a defined N agg whose values are chosen from 6, 8, 12, 20, and 32. Interestingly, some of these numbers coincide with the face numbers of Platonic solids, thus we named them “Platonic micelles”. The preferred N agg values were explained in relation to the mathematical Tammes problem: how to obtain the best coverage of a sphere surface with multiple identical circles. The coverage ratio D(N ) can be calculated and produces maxima at N  = 6, 12, 20, and 32, coinciding with the observed N agg values. We presume that this “Platonic nature” may hold for any spherical micelles when N agg is sufficiently small.
doi_str_mv 10.1038/srep44494
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subjects 639/301/923/966
639/638/541/966
Humanities and Social Sciences
Micelles
multidisciplinary
Polyhedra
Science
Surfactants
title Platonic Micelles: Monodisperse Micelles with Discrete Aggregation Numbers Corresponding to Regular Polyhedra
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