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Van der Waals Equation01:10

Van der Waals Equation

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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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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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Unlike ethane and propane that have only two major conformations, butane has more than two conformers. The staggered form of butane in which the bulky methyl groups on the two carbons are placed on opposite sides, that is, at a dihedral angle of 180°, is the lowest energy, most stable form — called the anti conformer. This conformation is stabilized due to the absence of steric repulsion between the largely spaced out methyl groups. The other two staggered conformations are...
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Van der Waals Interactions01:24

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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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Force can be calculated from the expression for potential energy, which is a function of position. The component of a conservative force, in a particular direction, equals the negative of the derivative of the corresponding potential energy with respect to the displacement in that direction. For regions where potential energy changes rapidly with displacement, the work done and force is maximum. Also, when force is applied along the positive coordinate axis, the potential energy decreases with...
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Potential Energy Surface for the CH4-H2 van der Waals Interaction.

Emna Sahnoun1,2, Laurent Wiesenfeld1, Kamel Hammami2

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This study precisely determines the van der Waals interaction between methane and hydrogen. These findings are crucial for understanding atmospheric radiative properties.

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Area of Science:

  • Atmospheric Chemistry
  • Computational Quantum Chemistry
  • Molecular Interactions

Background:

  • Methane (CH4) is a minor atmospheric component influencing radiative properties.
  • Understanding CH4 interactions with other gases is vital for atmospheric models.
  • Precise interaction potentials are needed for accurate simulations.

Purpose of the Study:

  • To compute the interaction potential between methane (CH4) and hydrogen (H2).
  • To provide accurate data for atmospheric radiative transfer calculations.
  • To establish a benchmark for CH4-diatomic molecule interactions.

Main Methods:

  • Utilized *ab initio* coupled cluster formalism (CCSD(T) and CCSD(T)-F12a).
  • Employed extended atomic bases and considered full molecular scattering geometry.
  • Compared *ab initio* results with analytic multipolar expansion for long-range interactions.

Main Results:

  • Calculated the potential energy surface for CH4-H2 interaction.
  • Determined the potential well depth to be -92.92 cm⁻¹.
  • Developed a potential suitable for scattering dynamics calculations.

Conclusions:

  • Presented the first precise determination of the CH4-H2 interaction potential.
  • The computed interaction is intermediate compared to other methane-diatomic interactions.
  • This work advances the understanding of atmospheric gas interactions and radiative properties.