Characterization of Self-Assembled 2D Patterns with Voronoi Entropy

被引：41

作者：

Bormashenko, Edward ^{[1
]}

Frenkel, Mark ^{[1
]}

Vilk, Alla ^{[1
]}

Legchenkova, Irina ^{[1
]}

Fedorets, Alexander A. ^{[2
]}

Aktaev, Nurken E. ^{[2
]}

Dombrovsky, Leonid A. ^{[2
,3
]}

Nosonovsky, Michael ^{[2
,4
]}

机构：

[1] Ariel Univ, Engn Sci Fac, Dept Chem Engn Biotechnol & Mat, IL-407000 Ariel, Israel

[2] Univ Tyumen, 6 Volodarskogo St, Tyumen 625003, Russia

[3] Joint Inst High Temperatures, 17A Krasnokazarmennaya St, Moscow 111116, Russia

[4] Univ Wisconsin, Mech Engn, 3200 North Cramer St, Milwaukee, WI 53211 USA

来源：

ENTROPY | 2018年 / 20卷 / 12期

关键词：

Voronoi entropy; surface patterns; Lewis law; Aboav law; droplet cluster; self-assembly; EVAPORATED POLYMER-SOLUTIONS; CELL-DIVISION; HONEYCOMB PATTERNS; DROPLET CLUSTERS; GROWTH; NANOPARTICLES; MORPHOLOGY; MECHANISM; SURFACE; SHAPES;

D O I：

10.3390/e20120956

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The Voronoi entropy is a mathematical tool for quantitative characterization of the orderliness of points distributed on a surface. The tool is useful to study various surface self-assembly processes. We provide the historical background, from Kepler and Descartes to our days, and discuss topological properties of the Voronoi tessellation, upon which the entropy concept is based, and its scaling properties, known as the Lewis and Aboav-Weaire laws. The Voronoi entropy has been successfully applied to recently discovered self-assembled structures, such as patterned microporous polymer surfaces obtained by the breath figure method and levitating ordered water microdroplet clusters.

引用

页数：13

共 50 条

[41] Impact of passively and actively confining self-assembled molecular networks in 2D corrals
De Feyter, Steven
ABSTRACTS OF PAPERS OF THE AMERICAN CHEMICAL SOCIETY, 2019, 258
[42] Bandgap engineering in a nanowire: self-assembled 0, 1 and 2D quantum structures
Arbiol, Jordi
de la Mata, Maria
Eickhoff, Martin
Fontcuberta i Morral, Anna
MATERIALS TODAY, 2013, 16 (06) : 213 - 219
[43] Discovery of Self-Assembled 2D Ru/Si Superlattices Boosting Hydrogen Evolution
Cai, Weizheng
He, Xinyi
Ye, Tian-Nan
Hu, Xinmeng
Liu, Chuanlong
Sasase, Masato
Kitano, Masaaki
Kamiya, Toshio
Hosono, Hideo
Wu, Jiazhen
SMALL, 2024, 20 (42)
[44] 2D self-assembled hydrogen-bonded molecular substitutional solid solution
MacLeod, Jennifer
Lipton-Duffn, Josh
Perepichka, Dmitrii
Rosel, Federico
ABSTRACTS OF PAPERS OF THE AMERICAN CHEMICAL SOCIETY, 2014, 247
[45] Self-Assembled Robust 2D Networks from Magneto-Elastic Bars
Yang, Xinyan
Leng, Junqing
Sun, Cheng
Keten, Sinan
ADVANCED MATERIALS TECHNOLOGIES, 2023, 8 (14)
[46] Large 2D self-assembled domains of cobalt nanoparticles onto silicon wafers
Pena, Luis
Varon, Miriam
Konstantinovic, Zorica
Balcells, Lluis
Martinez, Benjamin
Puntes, Victor
JOURNAL OF MATERIALS CHEMISTRY, 2011, 21 (42) : 16973 - 16977
[47] Catassembly in the Host-Guest Recognition of 2D Metastable Self-Assembled Networks
Xue, Renjie
Ma, Chao
He, Jing
Li, Xuechao
Tang, Yanning
Chi, Lifeng
Zhang, Haiming
ACTA PHYSICO-CHIMICA SINICA, 2024, 40 (09)
[48] Kinetics of self-assembled silane monolayers at various temperatures: evidence of 2D foam
Goldmann, M
Davidovits, JV
Silberzan, P
THIN SOLID FILMS, 1998, 327 : 166 - 171
[49] Kinetics of self-assembled silane monolayers at various temperatures: Evidence of 2D foam
Inst Curie, Paris, France
Thin Solid Films, (166-171):
[50] Micro/nano self-assembled 2D structures of block copolymer/Fe hybrids
Sarantopoulou, E.
Gatsouli, K.
Kollia, Z.
Pispas, S.
Kobe, S.
Kovac, J.
PHYSICA STATUS SOLIDI A-APPLICATIONS AND MATERIALS SCIENCE, 2007, 204 (06): : 1835 - 1842

← 1 2 3 4 5 →