Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

Understanding Pore Filling Processes and Adsorption/Desorption Hysteresis in Nanoporous Metal–Organic Frameworks: Insights from Grand Canonical Monte Carlo Simulations and Free Energy Calculations

Journal Article · · Langmuir
Grand canonical Monte Carlo (GCMC) simulations were used to investigate pore filling and hysteresis in nanoporous metal-organic frameworks (MOFs). Adsorption and desorption isotherms were calculated for argon at 87 K in 1866 MOFs from the CoRE MOF database and for short n-alkanes in selected MOFs, keeping the adsorbent structure rigid. Analysis of the molecular configurations showed two different mechanisms and origins of hysteresis: one involving a transition of the adsorbate arrangement in the pores similar to a gas-to-liquid transition associated with a large change in the loading and one more similar to a liquid-to-solid transition associated with a relatively small change in the loading. Our GCMC simulations in MOFs with diverse pore topologies indicate exceptions to an empirical relationship for the minimum diameter of a cylindical pore required for hysteresis as a function of the adsorbate diameter and reduced temperature. The simulations reveal some structures where isotherms exhibit two steps in the adsorption branch and only one step in the desorption branch. Hysteresis loops with a different number of adsorption and desorption steps are not common. Here, to better understand why hysteresis is observed in the GCMC simulations, the concept of the transition probability for observing a step in the adsorption isotherm at a given pressure in a GCMC simulation is introduced. We used two different methods to calculate the transition probabilities and find that these yield comparable results. Furthermore, the transition probability provides a measure for the length of GCMC simulations to yield reliable results.
Research Organization:
University of Minnesota, Minneapolis, MN (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES). Chemical Sciences, Geosciences & Biosciences Division (CSGB); USDOE Office of Science (SC), Basic Energy Sciences (BES). Scientific User Facilities (SUF); National Energy Research Scientific Computing Center (NERSC)
Grant/Contract Number:
SC0023454; AC02-05CH11231
OSTI ID:
3010678
Alternate ID(s):
OSTI ID: 2587666
Journal Information:
Langmuir, Journal Name: Langmuir Journal Issue: 25 Vol. 41; ISSN 0743-7463; ISSN 1520-5827
Publisher:
American Chemical Society (ACS)Copyright Statement
Country of Publication:
United States
Language:
English

References (54)

On the Universality of Capillary Condensation and Adsorption Hysteresis Phenomena in Ordered and Crystalline Mesoporous Materials journal April 2020
Transferable potentials for phase equilibria. Improved united-atom description of ethane and ethylene journal June 2017
Balancing Mechanical Stability and Ultrahigh Porosity in Crystalline Framework Materials journal October 2018
Metal–Organic Frameworks for Ammonia‐Based Thermal Energy Storage journal September 2021
Temperature Effect on Adsorption/Desorption Isotherms for a Simple Fluid Confined within Various Nanopores journal July 2005
Capillary condensation of adsorbates in porous materials journal November 2011
Understanding adsorption/desorption hysteresis for fluids in mesoporous materials using simple molecular models and classical density functional theory journal September 2012
Dynamical aspects of the adsorption hysteresis phenomenon journal May 2007
Topologically Guided, Automated Construction of Metal–Organic Frameworks and Their Evaluation for Energy-Related Applications journal September 2017
Adsorption-Driven Heat Pumps: The Potential of Metal–Organic Frameworks journal October 2015
MOFX-DB: An Online Database of Computational Adsorption Data for Nanoporous Materials journal January 2023
Advances, Updates, and Analytics for the Computation-Ready, Experimental Metal–Organic Framework Database: CoRE MOF 2019 journal November 2019
Efficient Implementation of Monte Carlo Algorithms on Graphical Processing Units for Simulation of Adsorption in Porous Materials journal November 2024
Efficiency Comparison of Single- and Multiple-Macrostate Grand Canonical Ensemble Transition-Matrix Monte Carlo Simulations journal March 2023
Molecular Diffusion in Hierarchical Zeolites with Ordered Mesoporosity: Pulsed Field Gradient Nuclear Magnetic Resonance Combined with Thermodynamic Modeling journal January 2023
Quasicontinuous Cooperative Adsorption Mechanism in Crystalline Nanoporous Materials journal July 2022
Record Atmospheric Fresh Water Capture and Heat Transfer with a Material Operating at the Water Uptake Reversibility Limit journal May 2017
Accelerated Synthesis of a Ni 2 Cl 2 (BTDD) Metal–Organic Framework in a Continuous Flow Reactor for Atmospheric Water Capture journal March 2021
A New Two-Constant Equation of State journal February 1976
Isoreticular Expansion of Metal–Organic Frameworks with Triangular and Square Building Units and the Lowest Calculated Density for Porous Crystals journal September 2011
UFF, a full periodic table force field for molecular mechanics and molecular dynamics simulations journal December 1992
Simultaneous Control of Flexibility and Rigidity in Pore-Space-Partitioned Metal–Organic Frameworks journal May 2023
A Nanocavitation Approach to Understanding Water Capture, Water Release, and Framework Physical Stability in Hierarchically Porous MOFs journal December 2023
Tunable Metal–Organic Frameworks Enable High-Efficiency Cascaded Adsorption Heat Pumps journal November 2018
Effect of Pore Size on the Condensation/Evaporation Transition of Confined Water in Equilibrium with Saturated Bulk Water journal August 2011
Use of the Grand Canonical Transition-Matrix Monte Carlo Method to Model Gas Adsorption in Porous Materials journal March 2013
Condensation and Evaporation in Slit-Shaped Pores: Effects of Adsorbate Layer Structure and Temperature journal January 2014
Exploring the Formation of Multiple Layer Hydrates for a Complex Pharmaceutical Compound journal April 2009
Transferable Potentials for Phase Equilibria. 1. United-Atom Description of n-Alkanes March 1998
Theoretical interpretation of adsorption behavior of simple fluids in slit pores journal July 1993
Monte Carlo Simulation Test of Pore Blocking Effects journal February 2003
Role of hydrogen bonding in hysteresis observed in sorption-induced swelling of soft nanoporous polymers journal August 2018
Computational investigation of hysteresis and phase equilibria of n-alkanes in a metal-organic framework with both micropores and mesopores journal May 2023
Water adsorption in MOFs: fundamentals and applications journal January 2014
A Grand Canonical Monte Carlo study of argon adsorption/condensation in mesoporous silica glasses journal January 2001
Simulation of gas adsorption on a surface and in slit pores with grand canonical and canonical kinetic Monte Carlo methods journal January 2012
Adsorption, intrusion and freezing in porous silica: the view from the nanoscale journal January 2013
Direct calculation of liquid–vapor phase equilibria from transition matrix Monte Carlo simulation journal June 2003
Some Topics in the Theory of Fluids journal December 1963
Determination of fluid-phase behavior using transition-matrix Monte Carlo: Binary Lennard-Jones mixtures journal February 2005
Monte Carlo simulation of n-alkane adsorption isotherms in carbon slit pores journal April 2007
Computer simulations of vapor–liquid phase equilibria of n ‐alkanes journal February 1995
Accurate and precise determination of critical properties from Gibbs ensemble Monte Carlo simulations journal September 2015
Free energy landscape within the hysteresis regime for fluids confined in disordered mesoporous solids journal October 2022
Slit-pore sorption isotherms by the grand-canonical Monte Carlo method journal April 1989
Configurational bias Monte Carlo: a new sampling scheme for flexible chains journal January 1992
RASPA: molecular simulation software for adsorption and diffusion in flexible nanoporous materials journal February 2015
Computer simulations of phase equilibrium for a fluid confined in a disordered porous structure journal June 2000
Gauge cell method for simulation studies of phase transitions in confined systems journal October 2000
Lattice model of adsorption in disordered porous materials: Mean-field density functional theory and Monte Carlo simulations journal December 2001
Understanding capillary condensation and hysteresis in porous silicon: Network effects within independent pores journal December 2008
Diffusion hysteresis in mesoporous materials journal February 2007
Canonical transition probabilities for adaptive Metropolis simulation journal May 1999
Physisorption of gases, with special reference to the evaluation of surface area and pore size distribution (IUPAC Technical Report) journal October 2015