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Real Gases: Effects of Intermolecular Forces and Molecular Volume Deriving Van der Waals Equation04:01

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Thus far, the ideal gas law, PV = nRT, has been applied to a variety of different types of problems, ranging from reaction stoichiometry and empirical and molecular formula problems to determining the density and molar mass of a gas. However, the behavior of a gas is often non-ideal, meaning that the observed relationships between its pressure, volume, and temperature are not accurately described by the gas laws.
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Range-separated density-functional theory with random phase approximation applied to noncovalent intermolecular

Wuming Zhu1, Julien Toulouse, Andreas Savin

  • 1Laboratoire de Chimie Théorique, UPMC Univ. Paris 06 and CNRS, 75005 Paris, France. wuming@lct.jussieu.fr

The Journal of Chemical Physics
|July 2, 2010
PubMed
Summary
This summary is machine-generated.

Range-separated methods accurately predict intermolecular interaction energies for molecular complexes. The RSH+RPAx approach shows superior performance compared to other methods, including RSH+MP2.

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Area of Science:

  • Computational chemistry
  • Quantum chemistry
  • Theoretical chemistry

Background:

  • Accurate calculation of intermolecular interaction energies is crucial for understanding molecular systems.
  • Traditional methods often struggle with the long-range and short-range contributions to these interactions.

Purpose of the Study:

  • To evaluate the performance of range-separated methods for calculating intermolecular interaction energies.
  • To compare these methods against full-range Random Phase Approximation (RPA) approaches.
  • To identify the most accurate method for weakly interacting complexes.

Main Methods:

  • Testing range-separated methods (combining short-range density functionals with long-range RPAs) on rare-gas dimers and the S22 benchmark set.
  • Including or excluding the Hartree-Fock exchange kernel in the RPA calculations.
  • Comparing results to full-range RPA and RSH+MP2 methods.

Main Results:

  • Both range separation and the Hartree-Fock exchange kernel significantly improve accuracy.
  • The RSH+RPAx method achieved the best performance, with a mean absolute error of 0.5-0.6 kcal/mol on the S22 set.
  • RSH+RPAx outperformed the RSH+MP2 method in accuracy.

Conclusions:

  • Range-separated methods, particularly RSH+RPAx, offer a highly accurate approach for calculating intermolecular interaction energies.
  • The inclusion of the Hartree-Fock exchange kernel is vital for improving accuracy.
  • RSH+RPAx provides a reliable and accurate alternative to existing methods for studying weakly interacting systems.