Platonic Micelles: Monodisperse Micelles with Discrete Aggregation Numbers Corresponding to Regular Polyhedra.
Platonic Micelles: Monodisperse Micelles with Discrete Aggregation Numbers Corresponding to Regular Polyhedra.
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DOI：
10.1038/srep44494
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发表时间：
2017-03-14
影响因子：
4.6
通讯作者：
Sakurai K
中科院分区：
文献类型：
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作者：
Fujii S;Yamada S;Matsumoto S;Kubo G;Yoshida K;Tabata E;Miyake R;Sanada Y;Akiba I;Okobira T;Yagi N;Mylonas E;Ohta N;Sekiguchi H;Sakurai K
胶束的概念由 McBain 于 1913 年首次提出，并合理化了表面活性剂自聚集的大量实验结果。人们普遍认为球形胶束的聚集数（Nagg）没有精确的值并且具有一定的分布。然而，我们对杯[4]芳烃表面活性剂的研究表明，它们是单分散的，具有确定的Nagg，其值选自6、8、12、20和32。有趣的是，其中一些数字与柏拉图固体的面数一致，因此我们将它们命名为“柏拉图胶束”。首选的 Nagg 值与数学 Tammes 问题相关进行了解释：如何获得具有多个相同圆的球体表面的最佳覆盖。可以计算覆盖率 D(N)，并在 N = 6、12、20 和 32 处产生最大值，与观察到的 Nagg 值一致。我们推测，当纳格足够小时，这种“柏拉图性质”可能适用于任何球形胶束。
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 (Nagg) 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 Nagg 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 Nagg 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 Nagg values. We presume that this “Platonic nature” may hold for any spherical micelles when Nagg is sufficiently small.