PMID- 28290532
OWN - NLM
STAT- PubMed-not-MEDLINE
DCOM- 20180831
LR  - 20181113
IS  - 2045-2322 (Electronic)
IS  - 2045-2322 (Linking)
VI  - 7
DP  - 2017 Mar 14
TI  - Platonic Micelles: Monodisperse Micelles with Discrete Aggregation Numbers 
      Corresponding to Regular Polyhedra.
PG  - 44494
LID - 10.1038/srep44494 [doi]
LID - 44494
AB  - 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.
FAU - Fujii, Shota
AU  - Fujii S
AD  - Department of Chemistry and Biochemistry, University of Kitakyushu, 1-1 Hibikino, 
      Wakamatsu-ku, Kitakyushu, Fukuoka 808-0135, Japan.
FAU - Yamada, Shimpei
AU  - Yamada S
AD  - Department of Chemistry and Biochemistry, University of Kitakyushu, 1-1 Hibikino, 
      Wakamatsu-ku, Kitakyushu, Fukuoka 808-0135, Japan.
FAU - Matsumoto, Sakiko
AU  - Matsumoto S
AD  - Department of Chemistry and Biochemistry, University of Kitakyushu, 1-1 Hibikino, 
      Wakamatsu-ku, Kitakyushu, Fukuoka 808-0135, Japan.
FAU - Kubo, Genki
AU  - Kubo G
AD  - Department of Chemistry and Biochemistry, University of Kitakyushu, 1-1 Hibikino, 
      Wakamatsu-ku, Kitakyushu, Fukuoka 808-0135, Japan.
FAU - Yoshida, Kenta
AU  - Yoshida K
AD  - Department of Chemistry and Biochemistry, University of Kitakyushu, 1-1 Hibikino, 
      Wakamatsu-ku, Kitakyushu, Fukuoka 808-0135, Japan.
FAU - Tabata, Eri
AU  - Tabata E
AD  - Department of Chemistry and Biochemistry, University of Kitakyushu, 1-1 Hibikino, 
      Wakamatsu-ku, Kitakyushu, Fukuoka 808-0135, Japan.
FAU - Miyake, Rika
AU  - Miyake R
AD  - Department of Chemistry and Biochemistry, University of Kitakyushu, 1-1 Hibikino, 
      Wakamatsu-ku, Kitakyushu, Fukuoka 808-0135, Japan.
FAU - Sanada, Yusuke
AU  - Sanada Y
AD  - Department of Chemistry and Biochemistry, University of Kitakyushu, 1-1 Hibikino, 
      Wakamatsu-ku, Kitakyushu, Fukuoka 808-0135, Japan.
FAU - Akiba, Isamu
AU  - Akiba I
AD  - Department of Chemistry and Biochemistry, University of Kitakyushu, 1-1 Hibikino, 
      Wakamatsu-ku, Kitakyushu, Fukuoka 808-0135, Japan.
FAU - Okobira, Tadashi
AU  - Okobira T
AD  - Department of Chemical Science and Engineering, Ariake National College of 
      Technology, 150 Higashihagio-Machi, Omuta, Fukuoka 836-8585, Japan.
FAU - Yagi, Naoto
AU  - Yagi N
AD  - Japan Synchrotron Radiation Research Institute (JASRI/SPring-8), 1-1-1 Kouto, 
      Sayo, Sayo, Hyogo 679-5198, Japan.
FAU - Mylonas, Efstratios
AU  - Mylonas E
AD  - Japan Synchrotron Radiation Research Institute (JASRI/SPring-8), 1-1-1 Kouto, 
      Sayo, Sayo, Hyogo 679-5198, Japan.
FAU - Ohta, Noboru
AU  - Ohta N
AD  - Japan Synchrotron Radiation Research Institute (JASRI/SPring-8), 1-1-1 Kouto, 
      Sayo, Sayo, Hyogo 679-5198, Japan.
FAU - Sekiguchi, Hiroshi
AU  - Sekiguchi H
AD  - Japan Synchrotron Radiation Research Institute (JASRI/SPring-8), 1-1-1 Kouto, 
      Sayo, Sayo, Hyogo 679-5198, Japan.
FAU - Sakurai, Kazuo
AU  - Sakurai K
AD  - Department of Chemistry and Biochemistry, University of Kitakyushu, 1-1 Hibikino, 
      Wakamatsu-ku, Kitakyushu, Fukuoka 808-0135, Japan.
LA  - eng
PT  - Journal Article
PT  - Research Support, Non-U.S. Gov't
DEP - 20170314
PL  - England
TA  - Sci Rep
JT  - Scientific reports
JID - 101563288
PMC - PMC5349551
COIS- The authors declare no competing financial interests.
EDAT- 2017/03/16 06:00
MHDA- 2017/03/16 06:01
PMCR- 2017/03/14
CRDT- 2017/03/15 06:00
PHST- 2016/09/29 00:00 [received]
PHST- 2017/02/08 00:00 [accepted]
PHST- 2017/03/15 06:00 [entrez]
PHST- 2017/03/16 06:00 [pubmed]
PHST- 2017/03/16 06:01 [medline]
PHST- 2017/03/14 00:00 [pmc-release]
AID - srep44494 [pii]
AID - 10.1038/srep44494 [doi]
PST - epublish
SO  - Sci Rep. 2017 Mar 14;7:44494. doi: 10.1038/srep44494.