Topological representations of crystal structures: generation, analysis and implementation in the TopCryst system

AP Shevchenko, AA Shabalin… - … and Technology of …, 2022 - Taylor & Francis
Main modern approaches to the topological representation of crystal structures of different
chemical classes are overviewed. The problem of automated generation and analysis of …

Stochastic generation of complex crystal structures combining group and graph theory with application to carbon

X Shi, C He, CJ Pickard, C Tang, J Zhong - Physical Review B, 2018 - APS
A method is introduced to stochastically generate crystal structures with defined structural
characteristics. Reasonable quotient graphs for symmetric crystals are constructed using a …

A new superhard carbon allotrope: tetragonal C64

Q Wei, Q Zhang, H Yan, M Zhang - Journal of Materials Science, 2017 - Springer
A novel superhard carbon allotrope C 64 is predicted which is composed of C28 cages. It is
porous and exhibits distinct topologies including zigzag 5, 6, 8, 10 and 12-fold carbon rings …

Multiplicative topological indices of the crystal cubic carbon structure

S Sharma, VK Bhat, S Lal - Crystal Research and Technology, 2023 - Wiley Online Library
Chemical graph theory assumes an imperative part in displaying and planning any chemical
structure or chemical network. The molecular structure of a chemical molecule strongly …

Deformation behavior of diamond-like phases: Molecular dynamics simulation

JА Baimova, LK Rysaeva, AI Rudskoy - Diamond and Related Materials, 2018 - Elsevier
The variations of the structure and properties of the diamond-like materials is now of high
interest because diamond-like carbon phases has a wide range of commercial applications …

[HTML][HTML] A new superhard carbon allotrope: Orthorhombic C20

Q Wei, C Zhao, M Zhang, H Yan, Y Zhou, R Yao - Physics Letters A, 2018 - Elsevier
A new superhard carbon orthorhombic allotrope oC20 is proposed, which exhibits distinct
topologies including C4, C3 and two types of C6 carbon rings. The calculated elastic …

Self-Assembly of Carbon Quantum Dots into C8-Structured Nanosheets

KAA Mary, JJ Palakulam, R Philip - Carbon, 2025 - Elsevier
Among carbon family, development of carbon nanosheets through a green and simple
method is a great challenge, owing to the ineffective synthetic approaches. Furthermore …

Novel carbon diamond-like phases LA5, LA7 and LA8

EA Belenkov, MM Brzhezinskaya… - Diamond and related …, 2014 - Elsevier
In this work, the structure and properties of seven diamond-like carbon phases obtained by
linking the graphene layers were calculated using DFT and PM3 methods. The LA5 (Cmca) …

Metric dimension of crystal cubic carbon structure

X Zhang, M Naeem - Journal of Mathematics, 2021 - Wiley Online Library
For any given graph G, we say W⊆ V (G) is a resolving set or resolves the graph G if every
vertex of G is uniquely determined by its vector of distances to the vertices in W. The metric …

Diamond-like phases formed from fullerene-like clusters

EA Belenkov, VA Greshnyakov - Physics of the Solid State, 2015 - Springer
The geometrically optimized structure and properties of thirteen diamond-like carbon phases
formed by linking or combining fullerene-like clusters (C 4, C 6, C 8, C 12, C 16, C 24, or C …