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Van der Waals Equation01:10

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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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Atoms and molecules interact with each other through intermolecular forces. These electrostatic forces arise from attractive or repulsive interactions between particles with permanent, partial, or temporary charges. The intermolecular forces between neutral atoms and molecules are ion–dipole, dipole–dipole, and dispersion forces, collectively known as van der Waals forces.
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The ideal gas law is based on two simplifying assumptions: first, that there are no intermolecular attractions between gas molecules, and second, that the volume occupied by the molecules themselves is negligible compared with the volume of the container. However, these assumptions don't hold up under all conditions - specifically, at high pressures and low temperatures, as gas tends to deviate from ideal gas behavior.The van der Waals equation is an enhanced version of the ideal gas law,...
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Communication: Multiple-property-based diabatization for open-shell van der Waals molecules.

Tijs Karman1, Ad van der Avoird1, Gerrit C Groenenboom1

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Summary

A new algorithm transforms adiabatic to diabatic molecular states using shared properties. This method accurately models van der Waals molecules and aids in studying conical intersections and energy transfer.

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Area of Science:

  • Quantum Chemistry
  • Computational Chemistry
  • Molecular Physics

Background:

  • Adiabatic and diabatic representations are crucial for understanding molecular electronic states.
  • Accurate transformations are needed for studying complex phenomena like conical intersections and energy transfer.
  • Existing diabatization methods have limitations, especially for van der Waals systems.

Purpose of the Study:

  • To develop a novel multiple-property-based diabatization algorithm.
  • To provide a generally applicable diabatic model for van der Waals molecules in arbitrary electronic states.
  • To demonstrate the algorithm's utility in locating conical intersections and modeling collisional energy transfer.

Main Methods:

  • Deriving a transformation based on shared properties between adiabatic and diabatic representations.
  • Calculating adiabatic properties using rigorous electronic structure methods.
  • Defining model diabatic states as products of undistorted monomer wave functions.
  • Applying the method to O2-O2 system in excited states, including electric quadrupole tensor, orbital angular momentum, and spin-orbit coupling.

Main Results:

  • A new multiple-property-based diabatization algorithm was successfully derived.
  • The algorithm is applicable to van der Waals molecules in various electronic states.
  • The method was demonstrated to be effective for locating conical intersections.
  • Collisional transfer of electronic excitation energy was successfully modeled for O2-O2.

Conclusions:

  • The developed property-based diabatization algorithm offers a robust approach for transforming between adiabatic and diabatic molecular representations.
  • This method enhances the study of complex molecular systems, particularly van der Waals molecules.
  • The algorithm's application to conical intersections and energy transfer highlights its potential for advancing theoretical chemistry research.