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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...
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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.
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The molecular orbital theory describes the distribution of electrons in molecules in a manner similar to the distribution of electrons in atomic orbitals. The region of space in which a valence electron in a molecule is likely to be found is called a molecular orbital. Mathematically, the linear combination of atomic orbitals (LCAO) generates molecular orbitals. Combinations of in-phase atomic orbital wave functions result in regions with a high probability of electron density, while...
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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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A thermodynamic system is a set of objects whose thermodynamic properties are of interest. The system is considered to be embedded in its surroundings or the environment. The system and its environment can exchange heat and do work on each other through a boundary that separates them. However, the immediate surroundings of the system interact with it directly and therefore have a much stronger influence on its behavior and properties.
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Computation of Atmospheric Concentrations of Molecular Clusters from ab initio Thermochemistry
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Published on: April 8, 2020

Connectivity-Based Hierarchy for theoretical thermochemistry: assessment using wave function-based methods.

Raghunath O Ramabhadran1, Krishnan Raghavachari

  • 1Department of Chemistry, Indiana University, Bloomington, Indiana 47405, USA.

The Journal of Physical Chemistry. A
|May 11, 2012
PubMed
Summary
This summary is machine-generated.

The Connectivity-Based Hierarchy (CBH) method accurately predicts thermochemical properties for organic molecules. Wave function analysis shows electron correlation is crucial, especially for strained molecules, validating CBH performance.

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Area of Science:

  • Computational chemistry
  • Quantum chemistry
  • Thermochemistry

Background:

  • The Connectivity-Based Hierarchy (CBH) is a generalized method for predicting thermochemical properties of organic molecules.
  • Previous evaluations used density functional theory (DFT).

Purpose of the Study:

  • To perform a wave function-based analysis of the CBH method.
  • To investigate the influence of electron correlation effects on reaction energies and enthalpies of formation.
  • To assess the performance of CBH for strained and unstrained molecules.

Main Methods:

  • Wave function-based analysis using Hartree-Fock (HF), Møller–Plesset perturbation theory (MP2), and coupled cluster with singles and doubles and perturbative triples (CCSD(T)) levels of theory.
  • Evaluation using polarized double-ζ and triple-ζ basis sets.
  • Analysis of reaction energies and enthalpies of formation.

Main Results:

  • For unstrained molecules, HF, MP2, and CCSD(T) yield accurate enthalpies of formation with modest basis sets.
  • For strained molecules, correlated schemes (MP2, CCSD(T)) provide accurate enthalpies of formation, though reaction energies are not small.
  • The MP2 method at the CBH-2 rung shows performance comparable to the CCSD(T) method at the CBH-3 rung for large nonaromatic molecules.

Conclusions:

  • Small reaction energies are not a reliable sole criterion for evaluating thermochemical schemes, especially for molecules with strain or aromaticity.
  • Wave function methods confirm the accuracy of the CBH approach for predicting thermochemical properties.
  • The CBH method, particularly with MP2, offers a computationally efficient yet accurate approach for large organic molecules.