Statistical mechanical model of gas adsorption in porous crystals with dynamic moieties
Abstract
Some nanoporous, crystalline materials possess dynamic constituents, for example, rotatable moieties. These moieties can undergo a conformation change in response to the adsorption of guest molecules, which qualitatively impacts adsorption behavior. Here, we pose and solve a statistical mechanical model of gas adsorption in a porous crystal whose cages share a common ligand that can adopt two distinct rotational conformations. Guest molecules incentivize the ligands to adopt a different rotational configuration than maintained in the empty host. Our model captures inflections, steps, and hysteresis that can arise in the adsorption isotherm as a signature of the rotating ligands. The insights disclosed by our simple model contribute a more intimate understanding of the response and consequence of rotating ligands integrated into porous materials to harness them for gas storage and separations, chemical sensing, drug delivery, catalysis, and nanoscale devices. Particularly, our model reveals design strategies to exploit these moving constituents and engineer improved adsorbents with intrinsic thermal management for pressure-swing adsorption processes.
- Authors:
-
- Univ. of California, Berkeley, CA (United States). Dept. of Chemical and Biomolecular Engineering
- Univ. of California, Berkeley, CA (United States). Dept. of Chemical and Biomolecular Engineering; Valais Ecole Polytechnique Federale de Lausanne (EPFL), Sion (Switzerland)
- Publication Date:
- Research Org.:
- Energy Frontier Research Centers (EFRC) (United States). Center for Gas Separations Relevant to Clean Energy Technologies (CGS)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI Identifier:
- 1388053
- Grant/Contract Number:
- SC0001015
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Proceedings of the National Academy of Sciences of the United States of America
- Additional Journal Information:
- Journal Volume: 114; Journal Issue: 3; Related Information: CGS partners with University of California, Berkeley; University of California, Davis; Lawrence Berkeley National Laboratory; University of Minnesota; National Energy Technology Laboratory; Texas A&M University; Journal ID: ISSN 0027-8424
- Publisher:
- National Academy of Sciences, Washington, DC (United States)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY; membrane; carbon capture; materials and chemistry by design; synthesis (novel materials); synthesis (self-assembly); synthesis (scalable processing)
Citation Formats
Simon, Cory M., Braun, Efrem, Carraro, Carlo, and Smit, Berend. Statistical mechanical model of gas adsorption in porous crystals with dynamic moieties. United States: N. p., 2017.
Web. doi:10.1073/pnas.1613874114.
Simon, Cory M., Braun, Efrem, Carraro, Carlo, & Smit, Berend. Statistical mechanical model of gas adsorption in porous crystals with dynamic moieties. United States. https://doi.org/10.1073/pnas.1613874114
Simon, Cory M., Braun, Efrem, Carraro, Carlo, and Smit, Berend. Tue .
"Statistical mechanical model of gas adsorption in porous crystals with dynamic moieties". United States. https://doi.org/10.1073/pnas.1613874114. https://www.osti.gov/servlets/purl/1388053.
@article{osti_1388053,
title = {Statistical mechanical model of gas adsorption in porous crystals with dynamic moieties},
author = {Simon, Cory M. and Braun, Efrem and Carraro, Carlo and Smit, Berend},
abstractNote = {Some nanoporous, crystalline materials possess dynamic constituents, for example, rotatable moieties. These moieties can undergo a conformation change in response to the adsorption of guest molecules, which qualitatively impacts adsorption behavior. Here, we pose and solve a statistical mechanical model of gas adsorption in a porous crystal whose cages share a common ligand that can adopt two distinct rotational conformations. Guest molecules incentivize the ligands to adopt a different rotational configuration than maintained in the empty host. Our model captures inflections, steps, and hysteresis that can arise in the adsorption isotherm as a signature of the rotating ligands. The insights disclosed by our simple model contribute a more intimate understanding of the response and consequence of rotating ligands integrated into porous materials to harness them for gas storage and separations, chemical sensing, drug delivery, catalysis, and nanoscale devices. Particularly, our model reveals design strategies to exploit these moving constituents and engineer improved adsorbents with intrinsic thermal management for pressure-swing adsorption processes.},
doi = {10.1073/pnas.1613874114},
journal = {Proceedings of the National Academy of Sciences of the United States of America},
number = 3,
volume = 114,
place = {United States},
year = {2017},
month = {1}
}
Web of Science
Works referenced in this record:
Flexibility in metal-organic framework materials: Impact on sorption properties
journal, August 2005
- Fletcher, Ashleigh J.; Thomas, K. Mark; Rosseinsky, Matthew J.
- Journal of Solid State Chemistry, Vol. 178, Issue 8
A Pillared-Layer Coordination Polymer with a Rotatable Pillar Acting as a Molecular Gate for Guest Molecules
journal, September 2009
- Seo, Joobeom; Matsuda, Ryotaro; Sakamoto, Hirotoshi
- Journal of the American Chemical Society, Vol. 131, Issue 35
Quantifying Large Effects of Framework Flexibility on Diffusion in MOFs: CH 4 and CO 2 in ZIF-8
journal, July 2012
- Haldoupis, Emmanuel; Watanabe, Taku; Nair, Sankar
- ChemPhysChem, Vol. 13, Issue 15
Hydrogen bond-regulated microporous nature of copper complex-assembled microcrystals
journal, February 2001
- Li, Di; Kaneko, Katsumi
- Chemical Physics Letters, Vol. 335, Issue 1-2
Storage of natural gas by adsorption on activated carbon
journal, May 1992
- Matranga, Kimberly R.; Myers, Alan L.; Glandt, Eduardo D.
- Chemical Engineering Science, Vol. 47, Issue 7, p. 1569-1579
Free energy landscapes for the thermodynamic understanding of adsorption-induced deformations and structural transitions in porous materials
journal, July 2012
- Bousquet, D.; Coudert, F. -X.; Boutin, A.
- The Journal of Chemical Physics, Vol. 137, Issue 4
Flexible metal–organic frameworks
journal, January 2014
- Schneemann, A.; Bon, V.; Schwedler, I.
- Chem. Soc. Rev., Vol. 43, Issue 16
Metastable Sorption State of a Metal–Organic Porous Material Determined by In Situ Synchrotron Powder Diffraction
journal, July 2006
- Kubota, Yoshiki; Takata, Masaki; Matsuda, Ryotaro
- Angewandte Chemie, Vol. 118, Issue 30
Metal–organic framework materials as catalysts
journal, January 2009
- Lee, JeongYong; Farha, Omar K.; Roberts, John
- Chemical Society Reviews, Vol. 38, Issue 5, p. 1450-1459
Optimum Conditions for Adsorptive Storage
journal, February 2006
- Bhatia, Suresh K.; Myers, Alan L.
- Langmuir, Vol. 22, Issue 4
Isosteric Heat of Adsorption: Theory and Experiment
journal, August 1999
- Sircar, S.; Mohr, R.; Ristic, C.
- The Journal of Physical Chemistry B, Vol. 103, Issue 31
Flexible Porous Metal-Organic Frameworks for a Controlled Drug Delivery
journal, May 2008
- Horcajada, Patricia; Serre, Christian; Maurin, Guillaume
- Journal of the American Chemical Society, Vol. 130, Issue 21
Rotating Phenyl Rings as a Guest-Dependent Switch in Two-Dimensional Metal–Organic Frameworks
journal, January 2014
- Murdock, Christopher R.; McNutt, Nicholas W.; Keffer, David J.
- Journal of the American Chemical Society, Vol. 136, Issue 2
The role of dynamic conformational ensembles in biomolecular recognition
journal, October 2009
- Boehr, David D.; Nussinov, Ruth; Wright, Peter E.
- Nature Chemical Biology, Vol. 5, Issue 11
Isosteric heats of multicomponent adsorption: thermodynamics and computer simulations
journal, December 1991
- Karavias, Fokion.; Myers, Alan L.
- Langmuir, Vol. 7, Issue 12
Role of Solvent-Host Interactions That Lead to Very Large Swelling of Hybrid Frameworks
journal, March 2007
- Serre, C.; Mellot-Draznieks, C.; Surble, S.
- Science, Vol. 315, Issue 5820
Exact matrix treatment of an osmotic ensemble model of adsorption and pressure induced structural transitions in metal organic frameworks
journal, January 2016
- Dunne, Lawrence J.; Manos, George
- Dalton Transactions, Vol. 45, Issue 10
Reticular synthesis and the design of new materials
journal, June 2003
- Yaghi, Omar M.; O'Keeffe, Michael; Ockwig, Nathan W.
- Nature, Vol. 423, Issue 6941, p. 705-714
The Key–Lock Theory and the Induced Fit Theory
journal, January 1995
- Koshland, Daniel E.
- Angewandte Chemie International Edition in English, Vol. 33, Issue 2324
Structural Origin of Unusual CO 2 Adsorption Behavior of a Small-Pore Aluminum Bisphosphonate MOF
journal, February 2015
- Llewellyn, Philip L.; Garcia-Rates, Miquel; Gaberová, Lucia
- The Journal of Physical Chemistry C, Vol. 119, Issue 8
Spin crossover phenomena in Fe(ii) complexes
journal, January 2000
- Gütlich, Philipp; Garcia, Yann; Goodwin, Harold A.
- Chemical Society Reviews, Vol. 29, Issue 6
Commensurate phases, incommensurate phases and the devil's staircase
journal, June 1982
- Bak, P.
- Reports on Progress in Physics, Vol. 45, Issue 6
Introduction to Metal–Organic Frameworks
journal, September 2011
- Zhou, Hong-Cai; Long, Jeffrey R.; Yaghi, Omar M.
- Chemical Reviews, Vol. 112, Issue 2, p. 673-674
Dynamic Motion of Building Blocks in Porous Coordination Polymers
journal, November 2006
- Horike, Satoshi; Matsuda, Ryotaro; Tanaka, Daisuke
- Angewandte Chemie International Edition, Vol. 45, Issue 43
Exploration of Gate-Opening and Breathing Phenomena in a Tailored Flexible Metal–Organic Framework
journal, January 2016
- Hyun, Sung-min; Lee, Jae Hwa; Jung, Gwan Yeong
- Inorganic Chemistry, Vol. 55, Issue 4
The role of metal–organic frameworks in a carbon-neutral energy cycle
journal, April 2016
- Schoedel, Alexander; Ji, Zhe; Yaghi, Omar M.
- Nature Energy, Vol. 1, Issue 4
Selective gas adsorption and separation in metal–organic frameworks
journal, January 2009
- Li, Jian-Rong; Kuppler, Ryan J.; Zhou, Hong-Cai
- Chemical Society Reviews, Vol. 38, Issue 5, p. 1477-1504
Understanding DABCO Nanorotor Dynamics in Isostructural Metal–Organic Frameworks
journal, February 2015
- Burtch, Nicholas C.; Torres-Knoop, Ariana; Foo, Guo Shiou
- The Journal of Physical Chemistry Letters, Vol. 6, Issue 5
Dipolar molecular rotors in the metal–organic framework crystal IRMOF-2
journal, January 2008
- Winston, Erick B.; Lowell, Peter J.; Vacek, Jaroslav
- Physical Chemistry Chemical Physics, Vol. 10, Issue 34
Thermodynamics of Guest-Induced Structural Transitions in Hybrid Organic−Inorganic Frameworks
journal, October 2008
- Coudert, François-Xavier; Jeffroy, Marie; Fuchs, Alain H.
- Journal of the American Chemical Society, Vol. 130, Issue 43
Rigid and Flexible: A Highly Porous Metal–Organic Framework with Unusual Guest-Dependent Dynamic Behavior
journal, September 2004
- Dybtsev, Danil N.; Chun, Hyungphil; Kim, Kimoon
- Angewandte Chemie, Vol. 116, Issue 38
A molecular shuttle that operates inside a metal–organic framework
journal, May 2015
- Zhu, Kelong; O'Keefe, Christopher A.; Vukotic, V. Nicholas
- Nature Chemistry, Vol. 7, Issue 6
Artificial Molecular Rotors
journal, April 2005
- Kottas, Gregg S.; Clarke, Laura I.; Horinek, Dominik
- Chemical Reviews, Vol. 105, Issue 4
On the Thermodynamics of Framework Breathing: A Free Energy Model for Gas Adsorption in MIL-53
journal, May 2013
- Ghysels, An; Vanduyfhuys, Louis; Vandichel, Matthias
- The Journal of Physical Chemistry C, Vol. 117, Issue 22
Selective adsorption of ethylene over ethane and propylene over propane in the metal–organic frameworks M2(dobdc) (M = Mg, Mn, Fe, Co, Ni, Zn)
journal, January 2013
- Geier, Stephen J.; Mason, Jarad A.; Bloch, Eric D.
- Chemical Science, Vol. 4, Issue 5
Dynamics of Benzene Rings in MIL-53(Cr) and MIL-47(V) Frameworks Studied by 2H NMR Spectroscopy
journal, May 2010
- Kolokolov, Daniil I.; Jobic, Hervé; Stepanov, Alexander G.
- Angewandte Chemie International Edition, Vol. 49, Issue 28
Control of Molecular Rotor Rotational Frequencies in Porous Coordination Polymers Using a Solid-Solution Approach
journal, September 2015
- Inukai, Munehiro; Fukushima, Tomohiro; Hijikata, Yuh
- Journal of the American Chemical Society, Vol. 137, Issue 38
Optimizing nanoporous materials for gas storage
journal, January 2014
- Simon, Cory M.; Kim, Jihan; Lin, Li-Chiang
- Physical Chemistry Chemical Physics, Vol. 16, Issue 12
Synthesis, Structure and Properties of Related Microporous N , N ‘-Piperazinebismethylenephosphonates of Aluminum and Titanium
journal, March 2006
- Serre, Christian; Groves, John A.; Lightfoot, Philip
- Chemistry of Materials, Vol. 18, Issue 6
Responsive Metal–Organic Frameworks and Framework Materials: Under Pressure, Taking the Heat, in the Spotlight, with Friends
journal, February 2015
- Coudert, François-Xavier
- Chemistry of Materials, Vol. 27, Issue 6
Opening the Gate: Framework Flexibility in ZIF-8 Explored by Experiments and Simulations
journal, June 2011
- Fairen-Jimenez, D.; Moggach, S. A.; Wharmby, M. T.
- Journal of the American Chemical Society, Vol. 133, Issue 23
Selective CO2 uptake and inverse CO2/C2H2 selectivity in a dynamic bifunctional metal–organic framework
journal, January 2012
- Yang, Wenbin; Davies, Andrew J.; Lin, Xiang
- Chemical Science, Vol. 3, Issue 10
A pressure-amplifying framework material with negative gas adsorption transitions
journal, April 2016
- Krause, Simon; Bon, Volodymyr; Senkovska, Irena
- Nature, Vol. 532, Issue 7599
Adsorption induced transitions in soft porous crystals: An osmotic potential approach to multistability and intermediate structures
journal, May 2013
- Bousquet, David; Coudert, François-Xavier; Fossati, Alexandre G. J.
- The Journal of Chemical Physics, Vol. 138, Issue 17
Isoreticular synthesis of 2D MOFs with rotating aryl rings
journal, January 2015
- Hughes, Brianna C.; Murdock, Christopher R.; Jenkins, David M.
- Inorganic Chemistry Frontiers, Vol. 2, Issue 11
Mechanism of Breathing Transitions in Metal–Organic Frameworks
journal, July 2011
- Triguero, Carles; Coudert, François-Xavier; Boutin, Anne
- The Journal of Physical Chemistry Letters, Vol. 2, Issue 16
Two-Step Adsorption/Desorption on a Jungle-Gym-Type Porous Coordination Polymer
journal, September 2007
- Uemura, Kazuhiro; Yamasaki, Yukari; Komagawa, Yuki
- Angewandte Chemie, Vol. 119, Issue 35
A Switchable Molecular Rotator: Neutron Spectroscopy Study on a Polymeric Spin-Crossover Compound
journal, March 2012
- Rodríguez-Velamazán, J. Alberto; González, Miguel A.; Real, José A.
- Journal of the American Chemical Society, Vol. 134, Issue 11
Structure and Dynamics of the Functionalized MOF Type UiO-66(Zr): NMR and Dielectric Relaxation Spectroscopies Coupled with DFT Calculations
journal, May 2012
- Devautour-Vinot, Sabine; Maurin, Guillaume; Serre, Christian
- Chemistry of Materials, Vol. 24, Issue 11
Gas Storage in Nanoporous Materials
journal, June 2008
- Morris, Russell E.; Wheatley, Paul S.
- Angewandte Chemie International Edition, Vol. 47, Issue 27
Artificial Molecular Machines
journal, October 2000
- Balzani, Vincenzo; Credi, Alberto; Raymo, Françisco M.
- Angewandte Chemie, Vol. 39, Issue 19
Noble Gas Adsorption in Copper Trimesate, HKUST-1: An Experimental and Computational Study
journal, September 2013
- Hulvey, Zeric; Lawler, Keith V.; Qiao, Zhiwei
- The Journal of Physical Chemistry C, Vol. 117, Issue 39
Framework mobility in the metal–organic framework crystal IRMOF-3: Evidence for aromatic ring and amine rotation
journal, October 2011
- Morris, William; Taylor, R. E.; Dybowski, C.
- Journal of Molecular Structure, Vol. 1004, Issue 1-3, p. 94-101
Behavior and performance of adsorptive natural gas storage cylinders during discharge
journal, May 1996
- Chang, K. J.; Talu, Orhan
- Applied Thermal Engineering, Vol. 16, Issue 5
Understanding Inflections and Steps in Carbon Dioxide Adsorption Isotherms in Metal-Organic Frameworks
journal, January 2008
- Walton, Krista S.; Millward, Andrew R.; Dubbeldam, David
- Journal of the American Chemical Society, Vol. 130, Issue 2, p. 406-407
Direct Structural Identification of Gas Induced Gate-Opening Coupled with Commensurate Adsorption in a Microporous Metal-Organic Framework
journal, July 2016
- Banerjee, Debasis; Wang, Hao; Plonka, Anna M.
- Chemistry - A European Journal, Vol. 22, Issue 33
Ethane/Ethene Separation Turned on Its Head: Selective Ethane Adsorption on the Metal−Organic Framework ZIF-7 through a Gate-Opening Mechanism
journal, December 2010
- Gücüyener, Canan; van den Bergh, Johan; Gascon, Jorge
- Journal of the American Chemical Society, Vol. 132, Issue 50
Adsorption isotherm model for multicomponent adsorbate—adsorbate interactions
journal, January 1991
- Moreau, Michel; Valentin, Patrick; Vidal-Madjar, Claire
- Journal of Colloid and Interface Science, Vol. 141, Issue 1
Metal–organic frameworks based on flexible ligands (FL-MOFs): structures and applications
journal, January 2014
- Lin, Zu-Jin; Lü, Jian; Hong, Maochun
- Chem. Soc. Rev., Vol. 43, Issue 16
Large breathing effects in three-dimensional porous hybrid matter: facts, analyses, rules and consequences
journal, January 2009
- Férey, Gérard; Serre, Christian
- Chemical Society Reviews, Vol. 38, Issue 5
Metal–Organic Framework Materials as Chemical Sensors
journal, September 2011
- Kreno, Lauren E.; Leong, Kirsty; Farha, Omar K.
- Chemical Reviews, Vol. 112, Issue 2, p. 1105-1125
Very Large Breathing Effect in the First Nanoporous Chromium(III)-Based Solids MIL-53 or CrIII(OH)·{O2C−C6H4−CO2}·{HO2C−C6H4−CO2H}x·H2Oy
journal, November 2002
- Serre, Christian; Millange, Franck; Thouvenot, Christelle
- Journal of the American Chemical Society, Vol. 124, Issue 45, p. 13519-13526
Bidirectional Chemo-Switching of Spin State in a Microporous Framework
journal, June 2009
- Ohba, Masaaki; Yoneda, Ko; Agustí, Gloria
- Angewandte Chemie International Edition, Vol. 48, Issue 26
Methane storage in flexible metal–organic frameworks with intrinsic thermal management
journal, October 2015
- Mason, Jarad A.; Oktawiec, Julia; Taylor, Mercedes K.
- Nature, Vol. 527, Issue 7578
Guest-induced gate-opening of a zeolite imidazolate framework
journal, January 2011
- Aguado, Sonia; Bergeret, Gérard; Titus, Marc Pera
- New J. Chem., Vol. 35, Issue 3
Amphidynamic Character of Crystalline MOF-5: Rotational Dynamics of Terephthalate Phenylenes in a Free-Volume, Sterically Unhindered Environment
journal, March 2008
- Gould, Stephanie L.; Tranchemontagne, David; Yaghi, Omar M.
- Journal of the American Chemical Society, Vol. 130, Issue 11, p. 3246-3247
Porous Coordination-Polymer Crystals with Gated Channels Specific for Supercritical Gases
journal, January 2003
- Kitaura, Ryo; Seki, Kenji; Akiyama, George
- Angewandte Chemie International Edition, Vol. 42, Issue 4
The Chemistry and Applications of Metal-Organic Frameworks
journal, August 2013
- Furukawa, H.; Cordova, K. E.; O'Keeffe, M.
- Science, Vol. 341, Issue 6149, p. 1230444-1230444
Soft porous crystals
journal, November 2009
- Horike, Satoshi; Shimomura, Satoru; Kitagawa, Susumu
- Nature Chemistry, Vol. 1, Issue 9, p. 695-704
Works referencing / citing this record:
Exploiting rotational motion in molecular crystals
journal, January 2018
- Catalano, Luca; Naumov, Panče
- CrystEngComm, Vol. 20, Issue 39
Statistical mechanics of binary mixture adsorption in metal–organic frameworks in the osmotic ensemble
journal, February 2018
- Dunne, Lawrence J.; Manos, George
- Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 376, Issue 2115
Predicting the Features of Methane Adsorption in Large Pore Metal-Organic Frameworks for Energy Storage
journal, October 2018
- Manos, George; Dunne, Lawrence
- Nanomaterials, Vol. 8, Issue 10
Structural Basis of CO2 Adsorption in a Flexible Metal-Organic Framework Material
journal, March 2019
- Allen, Andrew; Wong-Ng, Winnie; Cockayne, Eric
- Nanomaterials, Vol. 9, Issue 3