Schwarzites and Triply Periodic Minimal Surfaces: From Pure Topology Mathematics to Macroscale Applications.

Autor: Felix LC; Applied Physics Department, State University of Campinas, Campinas, SP, 13083-970, Brazil.; Center for Computational Engineering and Sciences, State University of Campinas, Campinas, SP, 13083-970, Brazil., Ambekar R; Department of Metallurgical and Materials Engineering, Indian Institute of Technology Kharagpur, 88C7+665, West Bengal, West Bengal, 721302, India., Tromer RM; Applied Physics Department, State University of Campinas, Campinas, SP, 13083-970, Brazil.; Center for Computational Engineering and Sciences, State University of Campinas, Campinas, SP, 13083-970, Brazil., Woellner CF; Physics Department, Federal University of Paraná, Rua Francisco H dos Santos, 100, Curitiba, PR, 82590-300, Brazil., Rodrigues V; Applied Physics Department, State University of Campinas, Campinas, SP, 13083-970, Brazil., Ajayan PM; Department of Materials Science and Nanoengineering, Rice University, 6100 Main St., Houston, TX, 77005-1827, USA., Tiwary CS; Department of Metallurgical and Materials Engineering, Indian Institute of Technology Kharagpur, 88C7+665, West Bengal, West Bengal, 721302, India., Galvao DS; Applied Physics Department, State University of Campinas, Campinas, SP, 13083-970, Brazil.; Center for Computational Engineering and Sciences, State University of Campinas, Campinas, SP, 13083-970, Brazil.
Jazyk: angličtina
Zdroj: Small (Weinheim an der Bergstrasse, Germany) [Small] 2024 Jun 14, pp. e2400351. Date of Electronic Publication: 2024 Jun 14.
DOI: 10.1002/smll.202400351
Abstrakt: Schwarzites are porous (spongy-like) carbon allotropes with negative Gaussian curvatures. They are proposed by Mackay and Terrones inspired by the works of the German mathematician Hermann Schwarz on Triply-Periodic Minimal Surfaces (TPMS). This review presents and discusses the history of schwarzites and their place among curved carbon nanomaterials. The main works on schwarzites are summarized and are available in the literature. Their unique structural, electronic, thermal, and mechanical properties are discussed. Although the synthesis of carbon-based schwarzites remains elusive, recent advances in the synthesis of zeolite-templates nanomaterials have brought them closer to reality. Atomic-based models of schwarzites are translated into macroscale ones that are 3D-printed. These 3D-printed models are exploited in many real-world applications, including water remediation and biomedical ones.
(© 2024 Wiley‐VCH GmbH.)
Databáze: MEDLINE