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Updated: Jan 7, 2026

On-line Analysis of Nitrogen Containing Compounds in Complex Hydrocarbon Matrixes
Published on: August 5, 2016
Second Virial Coefficients for N2···H2 and NH···NH
Marcos D S Alves1, Maikel Y Ballester1
1Departamento de Física, Universidade Federal de Juiz de Fora, Juiz de Fora, Minas Gerais CEP 36036-900, Brazil.
This study calculates the second virial coefficient for real gases using intermolecular potentials. The findings provide accurate thermodynamic properties for systems like H2-N2 and NH-NH.
Area of Science:
- Physical Chemistry
- Computational Chemistry
- Chemical Physics
Background:
- Accurate thermodynamic properties of real gases are crucial for various scientific and industrial applications.
- Realistic intermolecular potential energy surfaces are essential for describing gas behavior beyond the ideal gas approximation.
- The second virial coefficient (B(T)) provides a first-order correction to the ideal gas equation of state.
Purpose of the Study:
- To introduce a first-order correction to the ideal gas equation of state by computing the classical second virial coefficient, B(T).
- To utilize the double many-body expansion (DMBE) potential energy surface for the N2H2 system to derive pairwise interaction potentials.
- To compute thermodynamic properties, including B(T), compressibility factors, and heat capacities, for H2···N2 and NH···NH systems.
Main Methods:
- Computation of the classical second virial coefficient (B(T)) from the configurational partition function, dependent on intermolecular interaction potentials.
- Application of the double many-body expansion (DMBE) potential energy surface for the ground electronic state of the N2H2 system.
- Numerical evaluation of the canonical partition function using derived pairwise interaction potentials for H2···N2 and NH···NH.
Main Results:
- Pairwise interaction potentials for H2···N2 and NH···NH were derived from the DMBE potential energy surface.
- Second virial coefficients (B(T)) were computed for H2···N2 and NH···NH systems in the temperature range of 30-2000 K.
- Calculated B(T) values for H2···N2 showed good agreement with existing literature data, while NH···NH results aligned with expected trends for similar systems.
Conclusions:
- The study successfully computed the second virial coefficient and other thermodynamic properties for real gas systems using realistic intermolecular potentials.
- The DMBE potential energy surface proved effective in deriving interaction potentials for accurate thermodynamic calculations.
- The findings contribute to a better understanding of real gas behavior and provide valuable data for the H2···N2 and NH···NH systems.
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