Related Experiment Video
Updated: Aug 7, 2026

Computation of Atmospheric Concentrations of Molecular Clusters from ab initio Thermochemistry
Published on: April 8, 2020
Methane-water cross second virial coefficient with quantum corrections from an ab initio potential
Omololu Akin-Ojo1, Allan H Harvey, Krzysztof Szalewicz
1Department of Physics and Astronomy, University of Delaware, Newark, Delaware 19716, USA. prayerz@physics.udel.edu
We calculated the cross second virial coefficient (B12) for methane-water mixtures, incorporating quantum effects. Our findings provide an accurate analytical expression for B12 and related properties across a wide temperature range.
Area of Science:
- Physical Chemistry
- Computational Chemistry
- Thermodynamics
Background:
- Accurate thermodynamic property prediction is crucial for chemical processes.
- The methane-water system is relevant in various industrial applications.
- Ab initio potentials are essential for high-fidelity molecular simulations.
Purpose of the Study:
- To calculate the cross second virial coefficient (B12) and related quantity phi12 for the methane-water system.
- To incorporate quantum corrections into classical calculations.
- To provide an analytical expression for B12(T) and assess experimental data quality.
Main Methods:
- Ab initio potentials were used for methane-water interactions.
- Quantum corrections of order hbar^2 were applied to classical calculations.
- Calculated values were fitted to derive an analytical expression for B12(T).
Main Results:
- Calculations of B12 and phi12 were performed for temperatures ranging from 200 to 1000 K.
- Uncertainties in computed values were estimated, aiding experimental data evaluation.
- An accurate analytical expression for B12(T) was derived, also predicting phi12(T).
Conclusions:
- The study provides reliable B12 and phi12 values for the methane-water system.
- The derived analytical expression offers a practical tool for predicting these properties.
- The work validates the accuracy of the ab initio potential used and quantum correction methods.
Related Concept Videos
Real Gases: Effects of Intermolecular Forces and Molecular Volume Deriving Van der Waals Equation
The Van der Waals Equation
Van der Waals Equation
First, the attractive forces between molecules, which are stronger at higher densities and reduce the pressure, are considered by adding to the pressure a term equal to the square of the molar density multiplied by a positive coefficient a. Second, the volume...
Spin–Spin Coupling Constant: Overview
Qualitatively, any spin plus-half nucleus polarizes the spins of its electrons to the minus-half state. Consequently, the paired electron in the hydrogen–carbon bond must have a...
Thermodynamic Potentials
Thermodynamics: Chemical Potential and Activity
The thermodynamic equilibrium constant is more accurately defined in terms of activity rather than concentration.

