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The ideal gas law is an approximation that works well at high temperatures and low pressures. The van der Waals equation of state (named after the Dutch physicist Johannes van der Waals, 1837−1923) improves it by considering two factors.
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All-dimensional H2-CO potential: Validation with fully quantum second virial coefficients.

Giovanni Garberoglio1, Piotr Jankowski2, Krzysztof Szalewicz3

  • 1European Centre for Theoretical Studies in Nuclear Physics and Related Areas (ECT*-FBK), via Sommarive 18, I-38123 Trento, Italy.

The Journal of Chemical Physics
|February 10, 2017
PubMed
Summary
This summary is machine-generated.

We computed the cross second virial coefficient for molecular hydrogen and carbon monoxide using a new potential, achieving excellent agreement with experimental data across a wide temperature range. Quantum effects were fully included, providing accurate results with lower uncertainties.

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Area of Science:

  • Physical Chemistry
  • Quantum Mechanics
  • Computational Chemistry

Background:

  • Accurate calculation of intermolecular interactions is crucial for understanding gas properties.
  • The cross second virial coefficient (B12) quantifies interactions between different molecules.
  • Quantum effects significantly influence properties of light molecules like H2 and CO.

Purpose of the Study:

  • To compute the cross second virial coefficient B12(T) for molecular hydrogen and carbon monoxide.
  • To investigate the impact of quantum effects on B12(T) over a wide temperature range (10 K to 2000 K).
  • To assess the accuracy of reduced-dimensionality potentials compared to full-dimensional calculations.

Main Methods:

  • Utilized a new high-accuracy all-dimensional potential energy surface.
  • Employed the path-integral method to fully incorporate quantum mechanical effects.
  • Propagated potential uncertainties to determine uncertainties in B12(T).

Main Results:

  • Calculated B12(T) values show excellent agreement with available experimental data.
  • Results cover an extended temperature range (10-2000 K) with reduced uncertainties.
  • Reduced-dimensionality potentials provide good approximations to full-dimensional results, simplifying calculations.

Conclusions:

  • The developed potential and path-integral method accurately predict B12(T) for H2-CO.
  • Simplified potential models (reduced dimensionality) are effective, important for larger systems.
  • This work provides reliable B12(T) data and validates approximate computational approaches.