Isogonal non-crystallographic periodic graphs based on knotted sodalite cages.

Acta Crystallogr A Found Adv

Department of Physics, Arizona State University, Tempe, Arizona 85287, USA.

Published: November 2020

This work considers non-crystallographic periodic nets obtained from multiple identical copies of an underlying crystallographic net by adding or flipping edges so that the result is connected. Such a structure is called a `ladder' net here because the 1-periodic net shaped like an ordinary (infinite) ladder is a particularly simple example. It is shown how ladder nets with no added edges between layers can be generated from tangled polyhedra. These are simply related to the zeolite nets SOD, LTA and FAU. They are analyzed using new extensions of algorithms in the program Systre that allow unambiguous identification of locally stable ladder nets.

Download full-text PDF

Source
http://dx.doi.org/10.1107/S2053273320012905DOI Listing

Publication Analysis

Top Keywords

non-crystallographic periodic
8
ladder nets
8
isogonal non-crystallographic
4
periodic graphs
4
graphs based
4
based knotted
4
knotted sodalite
4
sodalite cages
4
cages work
4
work considers
4

Similar Publications

Two-Periodic MoS-Type Metal-Organic Frameworks with Intrinsic Intralayer Porosity for High-Capacity Water Sorption.

Adv Mater

November 2024

Stoddart Institute of Molecular Science, Department of Chemistry, Zhejiang Key Laboratory of Excited-State Energy Conversion and Energy Storage, State Key Laboratory of Silicon and Advanced Semiconductor Materials, Zhejiang University, Hangzhou, 310058, P. R. China.

2D metal-organic frameworks (2D-MOFs) are an important class of functional porous materials. However, the low porosity and surface area of 2D-MOFs have greatly limited their functionalities and applications. Herein, the rational synthesis of a class of mos-MOFs with molybdenum disulfide (mos) net based on the assembly of trinuclear metal clusters and 3-connected tripodal organic ligands is reported.

View Article and Find Full Text PDF

Quasicrystals have been comprehensively studied since their discovery in 1984 by Daniel Shechtman to dissolve their complex structures concerning their physical properties [1], [2], [3], [4], [5]. The quasi-periodic well-ordered atomic structures made QCs as a novel type of solids differing from the crystalline or amorphous materials [5], [6], [7]. The QC alloys have non-crystallographic rotational symmetries, such as five-fold, eight-fold, and even ten-fold rotational axes that are prohibited in ordinary periodic crystals [5], [6], [7].

View Article and Find Full Text PDF

This work considers non-crystallographic periodic nets obtained from multiple identical copies of an underlying crystallographic net by adding or flipping edges so that the result is connected. Such a structure is called a `ladder' net here because the 1-periodic net shaped like an ordinary (infinite) ladder is a particularly simple example. It is shown how ladder nets with no added edges between layers can be generated from tangled polyhedra.

View Article and Find Full Text PDF

Vertex collisions in 3-periodic nets of genus 4.

Acta Crystallogr A Found Adv

September 2018

Instituto de Química, Universidade Federal do Rio de Janeiro, Avenida Athos da Silveira Ramos, 149 Bloco A, Cidade Universitária, Rio de Janeiro 21941-909, Brazil.

Unstable nets, by definition, display vertex collisions in any barycentric representation, among which are approximate models for the associated crystal structures. This means that different vertex lattices happen to superimpose when every vertex of a periodic net is located at the centre of gravity of its first neighbours. Non-crystallographic nets are known to be unstable, but crystallographic nets can also be unstable and general conditions for instability are not known.

View Article and Find Full Text PDF

Local pH oscillations witness autocatalytic self-organization of biomorphic nanostructures.

Nat Commun

February 2017

Laboratorio de Estudios Cristalográficos, Instituto Andaluz de Ciencias de la Tierra (CSIC-Universidad de Granada), E-18100 Armilla (Granada), Spain.

Bottom-up self-assembly of simple molecular compounds is a prime pathway to complex materials with interesting structures and functions. Coupled reaction systems are known to spontaneously produce highly ordered patterns, so far observed in soft matter. Here we show that similar phenomena can occur during silica-carbonate crystallization, the emerging order being preserved.

View Article and Find Full Text PDF

Want AI Summaries of new PubMed Abstracts delivered to your In-box?

Enter search terms and have AI summaries delivered each week - change queries or unsubscribe any time!