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Title:Every atom-atom map for neutral molecules can be explained by electron pushing diagrams
Authors:ID Flamm, Christoph (Author)
ID Müller, Stefan (Author)
ID Stadler, Peter F. (Author)
Files:.pdf ZUP_Flamm_Christoph_2025.pdf (343,62 KB)
MD5: 9B970930A2EB59AD281B39BD72FFD7B6
 
URL https://dmc-journal.eu/index.php/dmc/article/view/8/2
 
Language:English
Work type:Unknown
Organization:ZUP - University of Primorska Press
Abstract:Chemical reactions can be understood as transformations of multigraphs (molecules)that preserve vertex labels (atoms) and degrees (sums of bonding and non-bonding electrons), thereby implying the atom-atom map of a reaction. The corresponding reaction mechanism is often described by an electron pushing diagram that explains the transformation by consecutive local relocations of individual edges (electron pairs). Here, we showthat every degree-preserving map between multigraphs, and thus every atom-atom map, can be generated by cyclic electron pushing. Moreover, it is always possible to decompose such an explanation into electron pushing diagrams involving only four electron pairs. This inturn implies that every reaction can be decomposed into a sequence of elementary reactions that involve at most two educt molecules and two product molecules. Hence, the requirement of a mechanistic explanation in terms of electron pushing and imaginary transition states involving only a small number of bonds does not impose a combinatorial constraint on the feasibility of hypothetical chemical reactions.
Keywords:chemical reaction networks, graph transformations, reaction mechanisms
Publication status:Published
Publication version:Version of Record
Place of publishing:Koper
Publisher:University of Primorska
Year of publishing:2025
Number of pages:str. 1-16
Numbering:Vol. 1, no. 1, [article no. ] P1.01
PID:20.500.12556/RUP-23363 This link opens in a new window
UDC:51
ISSN on article:2820-6657
DOI:10.26493/2820-6657.8.d8b This link opens in a new window
COBISS.SI-ID:283973123 This link opens in a new window
Publication date in RUP:27.07.2026
Views:19
Downloads:0
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Record is a part of a journal

Title:Discrete mathematical chemistry
Publisher:University of Primorska
ISSN:2820-6657
COBISS.SI-ID:109303555 This link opens in a new window

Document is financed by a project

Funder:FWF - Austrian Science Fund

Funder:Novo Nordisk Foundatio

Licences

License:CC BY 4.0, Creative Commons Attribution 4.0 International
Link:http://creativecommons.org/licenses/by/4.0/
Description:This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.

Secondary language

Language:Slovenian
Title:Vsako preslikavo atom-atom za nevtralne molekule je mogoče pojasniti z diagrami porivanja elektronov
Abstract:Kemijske reakcije lahko razumemo kot transformacije multigrafov (molekul), ki ohranjajo oznake vozlišč (atomov) in stopnje vozlišč (vsote veznih in neveznih elektronov), s čimer določajo preslikavo atom-atom za to reakcijo. Pripadajoči reakcijski mehanizem je pogosto opisan z diagramom porivanja elektronov, ki transformacijo pojasnjuje z zaporednimi lokalnimi premiki posameznih povezav (elektronskih parov). Tukaj pokažemo, da je vsako preslikavo med multigrafi, ki ohranja stopnje vozlišč, in zato vsako preslikavo atom-atom, mogoče generirati s cikličnim porivanjem elektronov. Poleg tega je vedno mogoče takšno pojasnilo razgraditi v diagrame porivanja elektronov, ki vključujejo le štiri pare elektronov. To posledično pomeni, da je vsako reakcijo mogoče razgraditi v zaporedje elementarnih reakcij, ki vključujejo največ dve izhodiščni molekuli in dve produktni molekuli. Torej, zahteva po mehanističnem pojasnilu v smislu porivanja elektronov in imaginarnih prehodnih stanj, ki vključujejo le majhno število vezi, ne predstavlja kombinatorične omejitve glede izvedljivosti hipotetičnih kemijskih reakcij.
Keywords:kemijska reakcijska omrežja, transformacije grafov, reakcijski mehanizmi


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