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Related Concept Videos

Thermochemical Equations02:55

Thermochemical Equations

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).
Thermodynamic Potentials01:26

Thermodynamic Potentials

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...
Thermal Sigmatropic Reactions: Overview01:16

Thermal Sigmatropic Reactions: Overview

Sigmatropic rearrangements are a class of pericyclic reactions in which a σ bond migrates from one part of a π system to another. These are intramolecular rearrangements where the total number of σ and π bonds remain unchanged.
Sigmatropic shifts are classified based on an order term [i, j ], where i and j indicate the number of atoms across which each end of the σ bond migrates. Below are examples of a [3,3] sigmatropic shift in 1,5-hexadiene, referred to as...
Chemical Equilibria: Systematic Approach to Equilibrium Calculations01:21

Chemical Equilibria: Systematic Approach to Equilibrium Calculations

Equilibrium calculations for systems involving multiple equilibria are often complex. For example, to calculate the solubility of a sparingly soluble salt in an aqueous solution in the presence of a common ion, one must consider all the equilibria in this solution. Calculations for these systems can be complicated and tedious, so a systematic approach with a series of steps is often helpful. The process is detailed below.
The first step is to identify all the chemical reactions involved, The...
Thermodynamics: Chemical Potential and Activity01:10

Thermodynamics: Chemical Potential and Activity

The effective concentration of a species in a solution can be expressed precisely in terms of its activity. Activity considers the effect of electrolytes present in the vicinity of the species of interest and depends on the ionic strength of the solution. The activity of a species is expressed as the product of molar concentration and the activity coefficient of the species.
The thermodynamic equilibrium constant is more accurately defined in terms of activity rather than concentration.
Thermodynamic Properties of Ideal Solutions01:19

Thermodynamic Properties of Ideal Solutions

For an ideal liquid solution, the standard state of each component is defined as the pure liquid at the temperature and pressure of the solution. Similarly, for solid solutions, the standard state is the pure solid. The chemical potentials of the components in the ideal solution are compared to the chemical potentials of the pure substances in their standard states. These standard states provide a reference point for calculating the thermodynamic properties of ideal solutions.For ideal...

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ATOMIC-2 Protocol for Thermochemistry.

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Density Functional Geometries and Zero-Point Energies in Ab Initio Thermochemical Treatments of Compounds with First-Row Atoms (H, C, N, O, F).

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Updated: Jun 24, 2026

Computation of Atmospheric Concentrations of Molecular Clusters from ab initio Thermochemistry
12:11

Computation of Atmospheric Concentrations of Molecular Clusters from ab initio Thermochemistry

Published on: April 8, 2020

Ab initio thermochemistry using optimal-balance models with isodesmic corrections: the ATOMIC protocol.

Dirk Bakowies1

  • 1Laboratory of Physical Chemistry, ETH Zürich, CH 8093 Zürich, Switzerland. bakowies@chem-edu.ethz.ch

The Journal of Chemical Physics
|April 17, 2009
PubMed
Summary

A new computational method, ATOMIC (Ab initio Thermochemistry using Optimal-balance Models with Isodesmic Corrections), accurately calculates molecular atomization energies and enthalpies of formation. This approach balances accuracy and cost for high-level theoretical chemistry predictions.

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Area of Science:

  • Computational Chemistry
  • Theoretical Chemistry
  • Quantum Chemistry

Background:

  • Accurate calculation of molecular atomization energies and enthalpies of formation is crucial for understanding chemical reactions and properties.
  • Existing high-level computational methods often face challenges in balancing accuracy with computational cost.

Purpose of the Study:

  • To introduce ATOMIC (Ab initio Thermochemistry using Optimal-balance Models with Isodesmic Corrections), a novel composite approach for calculating thermochemical properties.
  • To achieve an optimal balance between accuracy and computational cost in theoretical thermochemistry.
  • To provide a robust and efficient method for predicting molecular energies.

Main Methods:

  • Decomposition of coupled-cluster energy into Hartree-Fock, low-order correlation (MP2, CCSD), and connected-triples contributions.
  • Inclusion of valence-shell and core contributions, with statistical analysis to determine basis-set and extrapolation requirements.
  • Implementation of Pople's bond-separation reactions within an ab initio framework to provide isodesmic corrections.

Main Results:

  • The ATOMIC approach offers a hierarchy of three levels (A, B, C) for isodesmically corrected composite models, achieving high accuracy (0.1–1 kcal/mol) in atomization energy reproduction.
  • Corrections beyond CCSD(T) can be efficiently estimated using a simplified model with bond increments.
  • Preliminary validation shows ATOMIC performs comparably or slightly better than the G3 approach for enthalpies of formation, without empirical calibration.

Conclusions:

  • ATOMIC provides an accurate, cost-effective, and non-empirical method for calculating molecular atomization energies and enthalpies of formation.
  • The method is efficient enough for routine application to molecules with up to 20 non-hydrogen atoms.
  • ATOMIC represents a significant advancement in theoretical thermochemistry, offering a reliable alternative to existing computational protocols.