Geometric Features of Structuring of Amphiphilic Macromolecules on the Surface of a Spherical Nanoparticle

Мұқаба

Дәйексөз келтіру

Толық мәтін

Ашық рұқсат Ашық рұқсат
Рұқсат жабық Рұқсат берілді
Рұқсат жабық Тек жазылушылар үшін

Аннотация

The self-assembly of amphiphilic homopolymers tightly grafted to the spherical nanoparticle and immersed in a selective solvent is studied by the computer experiment method. Conditions under which macromolecules form thin membrane-like layers surrounding the nanoparticle are determined. It is first shown that the emerging polymer structures may be approximated by complete embedded minimal surfaces satisfying the Weierstrass representation, namely, helicoid, catenoid, and Enneper and Costa surfaces. Mathematical constructions defining these minimal surfaces highlight a new type of ordering of polymer structures and determine its symmetry classification similar to crystal classification by Fedorov groups. Calculations for the two considered sets of parameters show that structures approximated by a helicoid are energetically more favorable than structures approximated by other minimal surfaces.

Авторлар туралы

D. Mitkovskiy

Nesmeyanov Institute of Organoelement Compounds, Russian Academy of Sciences; Faculty of Fundamental Physical and Chemical Engineering, Lomonosov Moscow State University

Email: vvvas@polly.phys.msu.ru
119991, Moscow, Russia; 119991, Moscow, Russia

A. Lazutin

Nesmeyanov Institute of Organoelement Compounds, Russian Academy of Sciences

Email: vvvas@polly.phys.msu.ru
119991, Moscow, Russia

A. Ushakova

Nesmeyanov Institute of Organoelement Compounds, Russian Academy of Sciences

Email: vvvas@polly.phys.msu.ru
119991, Moscow, Russia

A. Talis

Nesmeyanov Institute of Organoelement Compounds, Russian Academy of Sciences

Email: talishome@mail.ru
119991, Moscow, Russia

V. Vasilevskaya

Nesmeyanov Institute of Organoelement Compounds, Russian Academy of Sciences; Faculty of Chemistry, Lomonosov Moscow State University

Хат алмасуға жауапты Автор.
Email: vvvas@polly.phys.msu.ru
119991, Moscow, Russia; 119991, Moscow, Russia

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© Д.А. Митьковский, А.А. Лазутин, А.С. Ушакова, А.Л. Талис, В.В. Василевская, 2023