PMID- 30698441 OWN - NLM STAT- PubMed-not-MEDLINE LR - 20191120 IS - 1520-5827 (Electronic) IS - 0743-7463 (Linking) VI - 35 IP - 8 DP - 2019 Feb 26 TI - Discrete and Discontinuous Increase in the Micellar Aggregation Number: Effects of the Alkyl Chain Length on Platonic Micelles. PG - 3156-3161 LID - 10.1021/acs.langmuir.8b04204 [doi] AB - Micelles with perfect monodispersity in terms of the aggregation number ( N(agg)) have recently been discovered, whose values of N(agg) interestingly always coincide with the vertex or face number of regular polyhedral structures (i.e., Platonic solids). Owing to the monodispersity of the micelles, named Platonic micelles, we could expect them to exhibit unprecedented aggregation behavior. In this study, the effects of alkyl chain length on micellar aggregation behavior were characterized using small-angle scattering techniques such as small-angle X-ray scattering and asymmetrical flow field-flow fractionation coupled with multi-angle light scattering, as well as analytical ultracentrifugation measurements. The N(agg) of Platonic micelles discretely and discontinuously increased when increasing the alkyl chain length, which differs markedly from the findings for conventional micelles. This aggregation behavior could be reasonably explained by the relationship between the thermodynamic stability of the micelles and the coverage density defined by one of the unsolved mathematical problems: the Tammes problem. FAU - Fujii, Shota AU - Fujii S AUID- ORCID: 0000-0002-6594-5211 AD - Department of Chemistry and Biochemistry , University of Kitakyushu , 1-1 Hibikino , Kitakyushu , Fukuoka 808-0135 , Japan. FAU - Yamada, Shimpei AU - Yamada S AD - Department of Chemistry and Biochemistry , University of Kitakyushu , 1-1 Hibikino , Kitakyushu , Fukuoka 808-0135 , Japan. FAU - Araki, Masataka AU - Araki M AD - Department of Chemistry and Biochemistry , University of Kitakyushu , 1-1 Hibikino , Kitakyushu , Fukuoka 808-0135 , Japan. FAU - Lee, Ji Ha AU - Lee JH AUID- ORCID: 0000-0002-4456-0128 AD - Department of Chemistry and Biochemistry , University of Kitakyushu , 1-1 Hibikino , Kitakyushu , Fukuoka 808-0135 , Japan. FAU - Takahashi, Rintaro AU - Takahashi R AUID- ORCID: 0000-0003-2168-9436 AD - Department of Chemistry and Biochemistry , University of Kitakyushu , 1-1 Hibikino , Kitakyushu , Fukuoka 808-0135 , Japan. FAU - Sakurai, Kazuo AU - Sakurai K AUID- ORCID: 0000-0002-9737-0061 AD - Department of Chemistry and Biochemistry , University of Kitakyushu , 1-1 Hibikino , Kitakyushu , Fukuoka 808-0135 , Japan. LA - eng PT - Journal Article DEP - 20190212 PL - United States TA - Langmuir JT - Langmuir : the ACS journal of surfaces and colloids JID - 9882736 EDAT- 2019/01/31 06:00 MHDA- 2019/01/31 06:01 CRDT- 2019/01/31 06:00 PHST- 2019/01/31 06:00 [pubmed] PHST- 2019/01/31 06:01 [medline] PHST- 2019/01/31 06:00 [entrez] AID - 10.1021/acs.langmuir.8b04204 [doi] PST - ppublish SO - Langmuir. 2019 Feb 26;35(8):3156-3161. doi: 10.1021/acs.langmuir.8b04204. Epub 2019 Feb 12.