Benchmarks of graph invariants for hydrogen-bond networks in water clusters of different topology

Verfasser / Beitragende:
[Andrey Tokmachev, Andrei Tchougréeff, Richard Dronskowski]
Ort, Verlag, Jahr:
2015
Enthalten in:
Theoretical Chemistry Accounts, 134/10(2015-10-01), 1-8
Format:
Artikel (online)
ID: 60548788X
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024 7 0 |a 10.1007/s00214-015-1720-9  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s00214-015-1720-9 
245 0 0 |a Benchmarks of graph invariants for hydrogen-bond networks in water clusters of different topology  |h [Elektronische Daten]  |c [Andrey Tokmachev, Andrei Tchougréeff, Richard Dronskowski] 
520 3 |a The diversity of the various forms of water stems from systems of hydrogen bonds. Cooperative behaviour of hydrogen-bond networks gives rise to unique properties of water systems. A number of approaches to understand and model the collective behaviour of hydrogen bonds and predict their properties on the basis of a small number of calculations have been put forward. Among them, the concept of graph invariants provides most general descriptors for hydrogen-bond networks, which are routinely used to predict properties of water systems. In the present work, we examine the formalism of graph invariants and propose its modification which may be beneficial for water structures with defects. To benchmark graph invariants, we carried out quantum-chemical calculations of more than $$10^7$$ 10 7 water clusters with different hydrogen-bond configurations. The quality of the approximation is studied as a function of the type of graph invariant and its order. The results demonstrate that the method is applicable only to cage-like structures without significant strains. 
540 |a Springer-Verlag Berlin Heidelberg, 2015 
690 7 |a Water clusters  |2 nationallicence 
690 7 |a Hydrogen bonds  |2 nationallicence 
690 7 |a Graphs  |2 nationallicence 
690 7 |a Invariants  |2 nationallicence 
690 7 |a APSG  |2 nationallicence 
700 1 |a Tokmachev  |D Andrey  |u NBICS Centre, NRC Kurchatov Institute, Kurchatov Sq. 1, 123182, Moscow, Russia  |4 aut 
700 1 |a Tchougréeff  |D Andrei  |u Moscow Center for Continuous Mathematical Education, Bol'shoy Vlas'evskiy 11, 119002, Moscow, Russia  |4 aut 
700 1 |a Dronskowski  |D Richard  |u Institut für Anorganische Chemie, RWTH Aachen University, Landoltweg 1, 52056, Aachen, Germany  |4 aut 
773 0 |t Theoretical Chemistry Accounts  |d Springer Berlin Heidelberg  |g 134/10(2015-10-01), 1-8  |x 1432-881X  |q 134:10<1  |1 2015  |2 134  |o 214 
856 4 0 |u https://doi.org/10.1007/s00214-015-1720-9  |q text/html  |z Onlinezugriff via DOI 
898 |a BK010053  |b XK010053  |c XK010000 
900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
949 |B NATIONALLICENCE  |F NATIONALLICENCE  |b NL-springer 
950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s00214-015-1720-9  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Tokmachev  |D Andrey  |u NBICS Centre, NRC Kurchatov Institute, Kurchatov Sq. 1, 123182, Moscow, Russia  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Tchougréeff  |D Andrei  |u Moscow Center for Continuous Mathematical Education, Bol'shoy Vlas'evskiy 11, 119002, Moscow, Russia  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Dronskowski  |D Richard  |u Institut für Anorganische Chemie, RWTH Aachen University, Landoltweg 1, 52056, Aachen, Germany  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Theoretical Chemistry Accounts  |d Springer Berlin Heidelberg  |g 134/10(2015-10-01), 1-8  |x 1432-881X  |q 134:10<1  |1 2015  |2 134  |o 214