DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Calculation of self-diffusion coefficients in supercritical carbon dioxide using mean force kinetic theory

Journal Article · · Journal of Chemical Physics
DOI: https://doi.org/10.1063/5.0045211 · OSTI ID:1836999

This paper presents an application of mean force kinetic theory (MFT) to the calculation of the self-diffusivity of CO2 in the supercritical fluid regime. Two modifications to the typical application of MFT are employed to allow its application to a system of molecular species. Therefore, the first is the assumption that the inter-particle potential of mean force can be obtained from the molecule center-of-mass pair correlation function, which in the case of CO2 is the C–C pair correlation function. The second is a new definition of the Enskog factor that describes the effect of correlations at the surface of the collision volume. The new definition retains the physical picture that this quantity represents a local density increase, resulting from particle correlations, relative to that in the zero density homogeneous fluid limit. These calculations are facilitated by the calculation of pair correlation functions from molecular dynamics (MD) simulations using the FEPM2 molecular CO2 model. The self-diffusivity calculated from theory is in good agreement with that from MD simulations up to and slightly beyond the density at the location of the Frenkel line. The calculation is compared with and is found to perform similarly well to other commonly used models but has a greater potential for application to systems of mixed species and to systems of particles with long range interatomic potentials due to electrostatic interactions.

Research Organization:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
USDOE Laboratory Directed Research and Development (LDRD) Program
Grant/Contract Number:
89233218CNA000001
OSTI ID:
1836999
Report Number(s):
LA-UR=-21-22550; TRN: US2300538
Journal Information:
Journal of Chemical Physics, Vol. 154, Issue 13; ISSN 0021-9606
Publisher:
American Institute of Physics (AIP)Copyright Statement
Country of Publication:
United States
Language:
English

References (59)

The Diffusion of Gases at High Pressures. I. The Self-diffusion Coefficient of Carbon Dioxide journal October 1966
Correlations for prediction of molecular diffusivities in liquids journal April 1982
Carbon Dioxide's Liquid-Vapor Coexistence Curve And Critical Properties as Predicted by a Simple Molecular Model journal August 1995
Diffusion: Mass Transfer in Fluid Systems book January 2009
Thermodynamic potentials and distribution functions: II. The HNC equation as an optimized superposition approximation journal February 1990
Shear Viscosity Computed from the Finite-Size Effects of Self-Diffusivity in Equilibrium Molecular Dynamics journal October 2018
Translational and rotational diffusion in liquids. II. Orientational single‐particle correlation functions journal May 1974
Translational and rotational diffusion in liquids. I. Translational single‐particle correlation functions journal May 1974
Testing thermal conductivity models with equilibrium molecular dynamics simulations of the one-component plasma journal October 2019
The two-phase model for calculating thermodynamic properties of liquids from molecular dynamics: Validation for the phase diagram of Lennard-Jones fluids journal December 2003
Rough hard sphere theory of the self‐diffusion constant for molecular liquids journal February 1975
Supercritical Carbon Dioxide as a Green Reaction Medium for Catalysis journal July 2002
On the Use of Excess Entropy Scaling to Describe the Dynamic Properties of Water journal August 2010
Equation of State for Nonattracting Rigid Spheres journal July 1969
Behavior of Supercritical Fluids across the “Frenkel Line” journal September 2017
A New Equation of State for Carbon Dioxide Covering the Fluid Region from the Triple‐Point Temperature to 1100 K at Pressures up to 800 MPa journal November 1996
Free‐Volume Model of the Amorphous Phase: Glass Transition journal January 1961
Thermodynamic and transport properties of carbon dioxide from molecular simulation journal February 2007
Supercritical fluid extraction and fractionation of natural matter journal September 2006
Fast Parallel Algorithms for Short-Range Molecular Dynamics journal March 1995
Mean force kinetic theory: A convergent kinetic theory for weakly and strongly coupled plasmas journal August 2019
Self-diffusion in fluid carbon dioxide at high pressures journal September 1998
Bond Angle Distributions of Carbon Dioxide in the Gas, Supercritical, and Solid Phases journal March 2009
Mean force kinetic theory applied to self-diffusion in supercritical Lennard-Jones fluids journal May 2020
High pressure nuclear magnetic resonance measurement of spin–lattice relaxation and self‐diffusion in carbon dioxide journal August 1992
Supercritical drying of aerogels using CO2: Effect of extraction time on the end material textural properties journal June 2012
Decontamination of uranium oxides from solid wastes by supercritical CO2 fluid leaching method using HNO3–TBP complex as a reactant journal October 2004
Modified Free Volume Theory of Self-Diffusion and Molecular Theory of Shear Viscosity of Liquid Carbon Dioxide journal April 2005
Tetracycline nanoparticles precipitation using supercritical and liquid CO 2 as antisolvents journal January 2016
New Method for Prediction of Binary Gas-Phase Diffusion Coefficients journal May 1966
Dyeing polyester fibres with disperse dyes in supercritical CO2 journal April 2000
Voids, generic van der Waals equation of state, and transport coefficients of liquids journal January 2007
Diffusion in Carbon Dioxide at Elevated Pressures journal October 1955
Shear stress relaxation and diffusion in simple liquids by molecular dynamics simulations: Analytic expressions and paths to viscosity journal May 2019
Excess-entropy scaling in supercooled binary mixtures journal August 2020
Generic van der Waals equation of state and statistical mechanical representations of the van der Waals parameters journal February 2001
Markoff Random Processes and the Statistical Mechanics of Time‐Dependent Phenomena. II. Irreversible Processes in Fluids journal March 1954
Modified Entropy Scaling of the Transport Properties of the Lennard-Jones Fluid journal June 2019
A novel sample preparation method on CeO2 nanoparticles with TEM grid embedded liquid CO2 displacement and supercritical CO2 drying for microscopic analysis journal October 2019
Correlation of diffusion coefficients in dilute solutions journal June 1955
SAFT-γ Force Field for the Simulation of Molecular Fluids. 1. A Single-Site Coarse Grained Model of Carbon Dioxide journal September 2011
Thermodynamics, dynamics, and structure of supercritical water at extreme conditions journal January 2020
Review of supercritical CO2 power cycle technology and current status of research and development journal October 2015
System-Size Dependence of Diffusion Coefficients and Viscosities from Molecular Dynamics Simulations with Periodic Boundary Conditions journal October 2004
Description of self-diffusion coefficients of gases, liquids and fluids at high pressure based on molecular simulation data journal April 2006
Pulsed Breakdown and Plasma-Aided Phenol Polymerization in Supercritical Carbon Dioxide and Sub-Critical Water journal November 2009
Analysis of the transport coefficients for simple dense fluid: Application of the modified Enskog theory journal August 1972
“Two-Phase” Thermodynamics of the Frenkel Line journal July 2018
Diffusion and viscosity equations of state for a Lennard-Jones fluid obtained from molecular dynamics simulations journal September 1997
Self-Diffusion in Gases and Liquids journal September 1997
Supercritical antisolvent precipitation of micro- and nano-particles journal May 1999
Pure and Pseudo-pure Fluid Thermophysical Property Evaluation and the Open-Source Thermophysical Property Library CoolProp journal January 2014
Self-Diffusion Coefficients from Entropy Scaling Using the PCP-SAFT Equation of State journal August 2018
Lennard-Jones Fluid and Diffusivity:  Validity of the Hard-Sphere Model for Diffusion in Simple Fluids and Application to CO 2 journal January 2008
Self-diffusion coefficient equation for polyatomic fluid journal December 1999
Probing the link between residual entropy and viscosity of molecular fluids and model potentials journal February 2019
Perspective: Excess-entropy scaling journal December 2018
Absolute Entropy and Energy of Carbon Dioxide Using the Two-Phase Thermodynamic Model journal May 2011
addendum: A universal scaling law for atomic diffusion in condensed matter journal June 2001