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

Title: 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:
ORCiD logo [1];  [1];  [1];  [2]
  1. Univ. of California, Berkeley, CA (United States). Dept. of Chemical and Biomolecular Engineering
  2. 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}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 23 works
Citation information provided by
Web of Science

Save / Share:

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
  • DOI: 10.1016/j.jssc.2005.05.019

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
  • DOI: 10.1021/ja904363b

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
  • DOI: 10.1002/cphc.201200529

Hydrogen bond-regulated microporous nature of copper complex-assembled microcrystals
journal, February 2001


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
  • DOI: 10.1016/0009-2509(92)85005-V

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
  • DOI: 10.1063/1.4738776

Flexible metal–organic frameworks
journal, January 2014

  • Schneemann, A.; Bon, V.; Schwedler, I.
  • Chem. Soc. Rev., Vol. 43, Issue 16
  • DOI: 10.1039/C4CS00101J

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
  • DOI: 10.1002/ange.200600976

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
  • DOI: 10.1039/b807080f

Optimum Conditions for Adsorptive Storage
journal, February 2006

  • Bhatia, Suresh K.; Myers, Alan L.
  • Langmuir, Vol. 22, Issue 4
  • DOI: 10.1021/la0523816

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
  • DOI: 10.1021/jp9903817

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
  • DOI: 10.1021/ja710973k

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
  • DOI: 10.1021/ja4088709

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
  • DOI: 10.1038/nchembio.232

Isosteric heats of multicomponent adsorption: thermodynamics and computer simulations
journal, December 1991


Role of Solvent-Host Interactions That Lead to Very Large Swelling of Hybrid Frameworks
journal, March 2007


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
  • DOI: 10.1039/C5DT03248B

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
  • DOI: 10.1038/nature01650

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
  • DOI: 10.1002/anie.199423751

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
  • DOI: 10.1021/jp512596u

Spin crossover phenomena in Fe(ii) complexes
journal, January 2000

  • Gütlich, Philipp; Garcia, Yann; Goodwin, Harold A.
  • Chemical Society Reviews, Vol. 29, Issue 6
  • DOI: 10.1039/b003504l

Commensurate phases, incommensurate phases and the devil's staircase
journal, June 1982


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
  • DOI: 10.1021/cr300014x

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
  • DOI: 10.1002/anie.200603196

Exploration of Gate-Opening and Breathing Phenomena in a Tailored Flexible Metal–Organic Framework
journal, January 2016


The role of metal–organic frameworks in a carbon-neutral energy cycle
journal, April 2016


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
  • DOI: 10.1039/b802426j

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
  • DOI: 10.1021/jz502653y

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
  • DOI: 10.1039/b808104b

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
  • DOI: 10.1021/ja805129c

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
  • DOI: 10.1002/ange.200460712

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
  • DOI: 10.1038/nchem.2258

Artificial Molecular Rotors
journal, April 2005

  • Kottas, Gregg S.; Clarke, Laura I.; Horinek, Dominik
  • Chemical Reviews, Vol. 105, Issue 4
  • DOI: 10.1021/cr0300993

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
  • DOI: 10.1021/jp311601q

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
  • DOI: 10.1039/c3sc00032j

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
  • DOI: 10.1002/anie.201001238

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
  • DOI: 10.1021/jacs.5b05413

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
  • DOI: 10.1039/c3cp55039g

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
  • DOI: 10.1021/cm052149l

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
  • DOI: 10.1021/ja202154j

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
  • DOI: 10.1039/c2sc20443f

A pressure-amplifying framework material with negative gas adsorption transitions
journal, April 2016

  • Krause, Simon; Bon, Volodymyr; Senkovska, Irena
  • Nature, Vol. 532, Issue 7599
  • DOI: 10.1038/nature17430

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
  • DOI: 10.1063/1.4802888

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
  • DOI: 10.1039/C5QI00135H

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
  • DOI: 10.1021/jz2008769

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
  • DOI: 10.1002/ange.200702390

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
  • DOI: 10.1021/ja206228n

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
  • DOI: 10.1021/cm300863c

Gas Storage in Nanoporous Materials
journal, June 2008

  • Morris, Russell E.; Wheatley, Paul S.
  • Angewandte Chemie International Edition, Vol. 47, Issue 27
  • DOI: 10.1002/anie.200703934

Artificial Molecular Machines
journal, October 2000


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
  • DOI: 10.1021/jp408034u

Framework mobility in the metal–organic framework crystal IRMOF-3: Evidence for aromatic ring and amine rotation
journal, October 2011


Behavior and performance of adsorptive natural gas storage cylinders during discharge
journal, May 1996


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
  • DOI: 10.1021/ja076595g

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
  • DOI: 10.1002/chem.201601784

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
  • DOI: 10.1021/ja1089765

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
  • DOI: 10.1016/0021-9797(91)90308-U

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
  • DOI: 10.1039/C3CS60483G

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
  • DOI: 10.1039/b804302g

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
  • DOI: 10.1021/cr200324t

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
  • DOI: 10.1021/ja0276974

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
  • DOI: 10.1002/anie.200806039

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
  • DOI: 10.1038/nature15732

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
  • DOI: 10.1039/C0NJ00836B

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
  • DOI: 10.1021/ja077122c

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
  • DOI: 10.1002/anie.200390130

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
  • DOI: 10.1126/science.1230444

Soft porous crystals
journal, November 2009

  • Horike, Satoshi; Shimomura, Satoru; Kitagawa, Susumu
  • Nature Chemistry, Vol. 1, Issue 9, p. 695-704
  • DOI: 10.1038/nchem.444

Works referencing / citing this record:

Exploiting rotational motion in molecular crystals
journal, January 2018


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
  • DOI: 10.1098/rsta.2017.0151

Predicting the Features of Methane Adsorption in Large Pore Metal-Organic Frameworks for Energy Storage
journal, October 2018


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
  • DOI: 10.3390/nano9030354