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Related Concept Videos

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Introduction to Chemical Reactions

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All chemical reactions begin with a reactant, the general term for one or more substances entering the reaction. Sodium and chloride ions, for example, are the reactants in the production of table salt. One or more substances produced by a chemical reaction are called the product. Chemical reactions follow the law of conservation of mass, which means that matter cannot be created nor destroyed in a chemical reaction. The components of the reactants—the number of atoms and the...
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A chemical reaction is a process by which the bonds in the atoms of substances are rearranged to generate new substances. Matter cannot be created or destroyed in a chemical reaction—the same type and number of atoms that make up the reactants are still present in the products. Merely, the rearrangement of chemical bonds produces new compounds.
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Kinetics describes the rate and path by which a reaction occurs. In contrast, thermodynamics deals with state functions and describes the properties, behavior, and components of a system. It is not concerned with the path taken by the process and cannot address the rate at which a reaction occurs. Although it does provide information about what can happen during a reaction process, it does not describe the detailed steps of what appears on an atomic or a molecular level. On the other hand,...
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What makes a reaction network "chemical"?

Stefan Müller1, Christoph Flamm2, Peter F Stadler3,4,5,6,7,8

  • 1Faculty of Mathematics, University of Vienna, Oskar-Morgenstern-Platz 1, 1090, Vienna, Austria.

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This study defines criteria for reaction networks (RNs) to be chemically plausible, ensuring mass and energy conservation. These findings provide a framework for understanding and generating realistic chemical reaction models.

Keywords:
Chemical reaction networkDirected hypergraphEnergy conservationFutile cycleLewis formulaMass conservationMultigraphNull spacesPerpetuum mobileReaction invariantsStoichiometric matrixSum formula

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Area of Science:

  • Chemical reaction networks
  • Theoretical chemistry
  • Computational chemistry

Background:

  • Reaction networks (RNs) are directed hypergraphs representing chemical species and reactions.
  • Not all RNs are chemically plausible, potentially violating physics principles like energy and mass conservation.
  • The stoichiometric matrix ([Formula: see text]) is crucial for analyzing RN properties.

Purpose of the Study:

  • To establish sufficient conditions for the stoichiometric matrix ([Formula: see text]) that guarantee chemical interpretability of RNs.
  • To ensure RNs adhere to fundamental principles like conservation of energy and mass.
  • To provide a characterization for "chemical" RNs.

Main Methods:

  • Analysis of the stoichiometric matrix ([Formula: see text]) properties.
  • Investigation of conditions for thermodynamically sound and conservative RNs.
  • Examination of sum formula and structural formula realizations for RNs.

Main Results:

  • Chemically plausible RNs must be thermodynamically sound and conservative, preventing "futile cycles" and mass changes.
  • The stoichiometric matrix ([Formula: see text]) properties determine thermodynamic soundness and conservativeness.
  • RNs satisfying these conditions admit realizations as balanced sum formulas and Lewis structures, with potentially infinite variations.

Conclusions:

  • "Chemical" RNs are characterized by specific properties of their stoichiometric matrix ([Formula: see text]), including its left and right kernels.
  • This characterization aids in developing random models for chemical RNs.
  • The findings open avenues for research into alternative RN representations and infinite chemical systems.