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Standard Enthalpy of Formation02:37

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Enthalpy changes are typically tabulated for reactions in which both the reactants and products are at the same conditions. A standard state is a commonly accepted set of conditions used as a reference point for the determination of properties under other different conditions. For chemists, the IUPAC standard state refers to materials under a pressure of 1 bar and solutions at 1 M and does not specify a temperature. Many thermochemical tables list values with a standard state of 1 atm. Because...
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Hess’s law can be used to determine the enthalpy change of any reaction if the corresponding enthalpies of formation of the reactants and products are available. The main reaction may be divided into stepwise reactions : (i) decompositions of the reactants into their component elements, for which the enthalpy changes are proportional to the negative of the enthalpies of formation of the reactants, −ΔHf°(reactants), followed by (ii) re-combinations of the elements (obtained...
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Thermodynamic potentials are state functions that are extremely useful in analyzing a thermodynamic system. They have dimensions of energy. The four important thermodynamic potentials are internal energy, enthalpy, Helmholtz free energy, and Gibbs free energy. These thermodynamic potentials can be expressed using two of the following variables: pressure, volume, temperature, and entropy. These two variables are expressed as the rate of change of the thermodynamic potential with respect to other...
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For a chemical reaction (the system) carried out at constant pressure – with the only work done caused by expansion or contraction – the enthalpy of reaction (also called the heat of reaction, ΔHrxn) is equal to the heat exchanged with the surroundings (qp).
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Maxwell's thermodynamic relations are very useful in solving problems in thermodynamics. Each of Maxwell's relations relates a partial differential between quantities that can be hard to measure experimentally to a partial differential between quantities that can be easily measured. These relations are a set of equations derivable from the symmetry of the second derivatives and the thermodynamic potentials.
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There are two ways to determine the amount of heat involved in a chemical change: measure it experimentally, or calculate it from other experimentally determined enthalpy changes. Some reactions are difficult, if not impossible, to investigate and make accurate measurements for experimentally. And even when a reaction is not hard to perform or measure, it is convenient to be able to determine the heat involved in a reaction without having to perform an experiment.
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Deep Learning-Based Increment Theory for Formation Enthalpy Predictions.

Lung-Yi Chen1, Ting-Wei Hsu1, Tsai-Chen Hsiung1

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A new graph-based deep learning model accurately predicts molecular formation enthalpy for large molecules. This machine learning approach overcomes data limitations, offering a significant improvement over traditional methods for chemical thermodynamics.

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Area of Science:

  • Computational Chemistry
  • Machine Learning
  • Chemical Thermodynamics

Background:

  • Accurate prediction of molecular thermochemistry, like formation enthalpy, is crucial for reaction thermodynamics and kinetic modeling.
  • Existing machine learning methods struggle with large, complex molecules due to limited training data.

Purpose of the Study:

  • To develop a novel graph-based deep learning approach for predicting molecular formation enthalpy.
  • To enable accurate predictions for large and complex molecules beyond the training dataset.

Main Methods:

  • A graph-based deep learning architecture was employed.
  • The model learns atomic enthalpy contributions within their local chemical environments.
  • The approach incorporates the influence of overall molecular structure, inspired by increment theory.

Main Results:

  • The model successfully predicts formation enthalpy for molecules up to 42 heavy atoms.
  • Achieved a mean absolute error of 2 kcal/mol, outperforming conventional increment theory by over 50%.
  • Demonstrated generalizability to larger, unseen molecular structures.

Conclusions:

  • The graph-based deep learning method offers a powerful and generalizable tool for predicting molecular formation enthalpy.
  • This approach significantly advances the prediction of thermochemical properties for large molecules.
  • Potential applications include rapid property prediction for molecules challenging for experimental or ab initio methods.