

FOLLOWUS
State Key Laboratory of Chemical Engineering and School of Chemical Engineering, East China University of Science and Technology, Shanghai 200237, China
College of Environmental and Chemical Engineering, Shanghai Key Laboratory of Materials Protection and Advanced Materials in Electric Power, Shanghai University of Electric Power, Shanghai 201306, China
State Key Laboratory of Featured Metal Materials and Life-Cycle Safety for Composite Structures, Guangxi University, Nanning 530004, China
*Corresponding authors. E-mail addresses:xuxf@ecust.edu.cn(X. Xu)
*Corresponding authors. E-mail addresses:qingwei.gao@shiep.edu.cn(Q. Gao).
Received:16 December 2025,
Revised:2026-03-09,
Accepted:19 March 2026,
Online First:07 April 2026,
Published:2026-07
Scan QR Code
Gong Siyu, Shi Ruifang, Wang Xuan, et al. Molecular dynamics study on proton transport in Nafion, sulfonated polyethylene, and sulfonated poly (ether ether ketone) membranes[J]. Chinese Journal of Chemical Engineering, 2026, 95(7): 129-138.
Understanding the proton transport mechanisms in polymer electrolyte membranes (PEMs) is crucial for optimizing proton exchange membrane fuel cells. In this study
classical molecular dynamics simulations are employed to systematically investigate the proton transport behavior in three representative membranes: Nafion
sulfonated polyethylene (P21SA)
and sulfonated poly (ether ether ketone) (SPEEK). The results reveal that proton transport in Nafion is dominated by the classical hopping mechanism (CHM)
facilitated by the extensive free volume
well-connected water channels
and highly dynamic hydrogen-bond network. In contrast
SPEEK exhibits limited free volume and narrow-twisted water channels
which can suppress hydrogen-bond network reorganization. The proton transport in SPEEK is primarily governed by the vehicle mechanism. P21SA shows intermediate features between Nafion and SPEEK
displaying a hybrid transport mechanism. This study establishes direct correlations between nanoscale morphology
hydrogen-bond network dynamics
and proton transport behavior
providing molecular-level insights for the rational design of PEM materials.
E.L. Qu, X.F. Hao, M. Xiao, D.M. Han, S. Huang, Z.H. Huang, S.J. Wang, Y.Z. Meng, Proton exchange membranes for high temperature proton exchange membrane fuel cells: challenges and perspectives, J. Power Sources 533 (2022) 231386.
S.Y. Chen, Q. Zhang, B. McLellan, T.T. Zhang, Review on the petroleum market in China: history, challenges and prospects, Pet. Sci. 17 (6) (2020) 1779—1794.
Y. Wang, D.F. Ruiz Diaz, K.S. Chen, Z. Wang, X.C. Adroher, Materials, technological status, and fundamentals of PEM fuel cells—A review, Mater. Today 32 (2020) 178—203.
A. Parekh, Recent developments of proton exchange membranes for PEMFC:a review, Front. Energy Res. 10 (2022) 956132.
J.D. Ying, T.C. Liu, Y.Q. Wang, M. Guo, Q. Shen, Y.Q. Lin, J.G. Yu, Z.X. Yu, Perspectives on membrane development for high temperature proton exchange membrane fuel cells, Energy Fuel. 38 (8) (2024) 6613—6643.
V. Das, S. Padmanaban, K. Venkitusamy, R. Selvamuthukumaran, F. Blaabjerg, P. Siano, Recent advances and challenges of fuel cell based power system architectures and control—A review, Renew. Sustain. Energy Rev. 73 (2017) 10—18.
M.J. Park, S.Y. Kim, Ion transport in sulfonated polymers, J. Polym. Sci., Part B:Polym. Phys. 51 (7) (2013) 481—493.
S.X. Zeng, Y.X. Zeng, J.P. Song, Z.H. Meng, Insights into the thermal stability and proton transport mechanism of PTFE-nafion composite membranes, J. Appl. Polym. Sci. 142 (10) (2025) e56563.
S.A. Stelmakh, A.E. Ukshe, D.M. Mognonov, K.S. Novikova, M.N. Grigor'eva, R. R. Kayumov, S.A. Bal'zhinov, Y.A. Dobrovolsky, Proton conductivity of new type medium-temperature proton exchange membranes, Ionics 22 (10) (2016) 1873—1880.
B.Y. Chen, H.M. Wang, J.D. Xu, L.T. Pan, Y. Jing, X. Hou, Temperature-regulation liquid gating membrane with controllable gas/liquid separation, Green Energy Environ. 8 (6) (2023) 1501—1508.
J.J. Wang, D.D. Ye, J. Huang, Q. Peng, F. Chen, B. Mecheri, A. D'Epifanio, E. Traversa, J. Song, G.Z. Xu, J. Li, X. Zhu, Q. Liao, Dual functionality of cathode microporous layers: reducing hydrogen permeation and enhancing performance in proton exchange membrane water electrolyzers, Chem. Eng. J. 500 (2024) 157060.
B.X. Han, Y.F. Jiang, X.R. Sun, Z.F. Li, G. Li, Proton conductive N-heterocyclic metal—organic frameworks, Coord. Chem. Rev. 432 (2021) 213754.
E. Planes, H. D. Nguyen, T.K. Ly Nguyen, N. Charvin, L. Flandin, S. Lyonnard, C. Iojoiu, Humidity-induced mechanical behavior and proton transport mechanism in aromatic multiblock ionomer membranes, ACS Appl. Energy Mater. 4 (6) (2021) 5809—5820.
K.D. Kreuer, S.J. Paddison, E. Spohr, M. Schuster, Transport in proton conductors for fuel-cell applications: simulations, elementary reactions, and phenomenology, Chem. Rev. 104 (10) (2004) 4637—4678.
P. Tölle, C. Köhler, R. Marschall, M. Sharifi, M. Wark, T. Frauenheim, Proton transport in functionalised additives for PEMfuel cells: contributions from atomistic simulations, Chem. Soc. Rev. 41 (15) (2012) 5143—5159.
Q.Q. Li, D. Song, W.M. Gao, D. Wu, N.N. Zhang, X.N. Gao, Q.T. Che, Construction of successive proton conduction channels to accelerate the proton conduction process in flexible proton exchange membranes, ACS Appl. Mater. Interfaces 16 (10) (2024) 12686—12696.
Z.C. Guo, Z.Q. Shi, X.Y. Wang, Z.F. Li, G. Li, Proton conductive covalent organic frameworks, Coord. Chem. Rev. 422 (2020) 213465.
X.L. Ge, F. Zhang, L. Wu, Z.J. Yang, T.W. Xu, Current challenges and perspectives of polymer electrolyte membranes, Macromolecules 55 (10) (2022) 3773—3787.
L.Y. Zhu, Y.C. Li, J. Liu, J. He, L.Y. Wang, J.D. Lei, Recent developments in high-performance Nafion membranes for hydrogen fuel cells applications, Pet. Sci. 19 (3) (2022) 1371—1381.
Y. Prykhodko, K. Fatyeyeva, L. Hespel, S. Marais, Progress in hybrid composite Nafion®-based membranes for proton exchange fuel cell application, Chem. Eng. J. 409 (2021) 127329.
C.V. Mahajan, V. Ganesan, Atomistic simulations of structure of solvated sulfonated poly(ether ether ketone) membranes and their comparisons to nafion: I. Nanophase segregation and hydrophilic domains, J. Phys. Chem. B 114 (25) (2010) 8357—8366.
S. Cukierman, Et Tu, Grotthuss! and other unfinished stories, Biochim. Biophys. Acta BBA Bioenerg. 1757 (8) (2006) 876—885.
G. Bahlakeh, M. Nikazar, M. Mahdi Hasani-Sadrabadi, Understanding structure and transport characteristics in hydrated sulfonated poly(ether ether ketone)—sulfonated poly(ether sulfone) blend membranes using molecular dynamics simulations, J. Membr. Sci. 429 (2013) 384—395.
N.A.M. Harun, N. Shaari, N.F.H. Nik Zaiman, A review of alternative polymer electrolyte membrane for fuel cell application based on sulfonated poly(-ether ether ketone), Int. J. Energy Res. 45 (14) (2021) 19671—19708.
E.B. Trigg, T.W. Gaines, M. Maréchal, D.E. Moed, P. Rannou, K.B. Wagener, M.J. Stevens, K.I. Winey, Self-assembled highly ordered acid layers in precisely sulfonated polyethylene produce efficient proton transport, Nat. Mater. 17 (8) (2018) 725—731.
P.X. Xing, G.P. Robertson, M.D. Guiver, S.D. Mikhailenko, K.P. Wang, S. Kaliaguine, Synthesis and characterization of sulfonated poly(ether ether ketone) for proton exchange membranes, J. Membr. Sci. 229 (1—2) (2004) 95—106.
M.Z. Pan, C.J. Pan, C. Li, J. Zhao, A review of membranes in proton exchange membrane fuel cells: transport phenomena, performance and durability, Renew. Sustain. Energy Rev. 141 (2021) 110771.
Y.F. Zheng, Y.R. Liu, H. Li, Z.R. Yang, W.J. Wu, J. Zhang, J. Wu, J.T. Wang, Carboxyl-driven water networks on 2D metal organic frameworks for enhanced proton conduction in PEMFCs, Adv. Funct. Mater. 35 (37) (2025) 2500151.
K.D. Kreuer, A. Rabenau, W. Weppner, Vehicle mechanism, a new model for the interpretation of the conductivity of fast proton conductors, Angew Chem. Int. Ed. Engl. 21 (3) (1982) 208—209.
N. Agmon, The grotthuss mechanism, Chem. Phys. Lett. 244 (5—6) (1995) 456—462.
Y.C. Huang, P.E. Theodorakis, Z. Zeng, T.Y. Wang, Z.Z. Che, Ionomer structure and component transport in the cathode catalyst layer of PEM fuel cells: a molecular dynamics study, J. Chem. Phys. 160 (4) (2024), https://doi.org/10. 1063/5.0184566.
T. Miyake, M. Rolandi, Grotthuss mechanisms: from proton transport in proton wires to bioprotonic devices, J. Phys. Condens. Matter 28 (2) (2016) 023001.
R. Devanathan, Recent developments in proton exchange membranes for fuel cells, Energy Environ. Sci. 1 (1) (2008) 101—119.
J.A. Elliott, S. Hanna, A.M.S. Elliott, G.E. Cooley, Atomistic simulation and molecular dynamics of model systems for perfluorinated ionomer membranes, Phys. Chem. Chem. Phys. 1 (20) (1999) 4855—4863.
Y.S. Tse, A.M. Herring, K. Kim, G.A. Voth, Molecular dynamics simulations of proton transport in 3M and nafion perfluorosulfonic acid membranes, J. Phys. Chem. C 117 (16) (2013) 8079—8091.
T. Mabuchi, T. Tokumasu, Molecular dynamics simulation of proton transport in polymer electrolyte membrane, J. Nanosci. Nanotechnol. 15 (4) (2015) 2958—2963.
J. Savage, Y.S. Tse, G.A. Voth, Proton transport mechanism of perfluorosulfonic acid membranes, J. Phys. Chem. C 118 (31) (2014) 17436—17445.
K. Ren, X.J. Liu, Z.H. Rao, Effect of temperature and external electric field on proton transport in ordered and amorphous proton exchange membranes: a molecular dynamics study, Int. J. Hydrogen Energy 54 (2024) 1422—1435.
D.E. Moilanen, D.B. Spry, M.D. Fayer, Water dynamics and proton transfer in nafion fuel cell membranes, Langmuir 24 (8) (2008) 3690—3698.
H.R. Chen, Y.R. Liu, M. Zheng, C.C. Chen, H. Li, B.N. Niu, W.J. Wu, J.T. Wang, Water-retentive covalent organic framework membranes for efficient proton conduction in PEMFCs, Adv. Funct. Mater. 36 (18) (2026) e20568.
Y.Q. Zhang, A.L. Zhang, Y.T. Fan, Y.J. Li, Z.X. Xing, S. Wang, Multiple hydrogen bond systems boosting high proton conductivity of the comb-shaped sulfonated Poly(ether ether ketone) proton exchange membranes, ACS Appl. Polym. Mater. 6 (14) (2024) 8535—8547.
S.J. Hamrock, M.A. Yandrasits, Proton exchange membranes for fuel cell applications, J. Macromol. Sci. Part C 46 (3) (2006) 219—244.
Y.F. Zhang, J. Li, L. Ma, W.W. Cai, H.S. Cheng, Recent developments on alternative proton exchange membranes: strategies for systematic performance improvement, Energy Technol. 3 (7) (2015) 675—691.
W. Liu, H.J. Bai, Q. Zhang, Z.G. Zhang, W. Li, H.N. Wang, S.F. Lu, Y. Xiang, Microscopic insight into phase separation of poly (arylene piperidine)s-based high-temperature proton exchange membrane: a molecular simulation study, J. Membr. Sci. 698 (2024) 122616.
S.S. Jang, V. Molinero, T. Çaǧın, W.A. Goddard, Nanophase-segregation and transport in nafion 117 from molecular dynamics simulations: effect of monomeric sequence, J. Phys. Chem. B 108 (10) (2004) 3149—3157.
Y.M. Zhao, Q.W. Gao, X.F. Xu, C.Y. Ma, Q.K. He, Y.L. Min, S.L. Zhao, Compromise mechanism of proton transfer in crown ether-based biomimetic proton exchange membranes: insights from molecular dynamics simulations, J. Membr. Sci. 715 (2025) 123456.
T. Mabuchi, T. Tokumasu, Effect of bound state of water on hydronium ion mobility in hydrated Nafion using molecular dynamics simulations, J. Chem. Phys. 141 (10) (2014) 104904.
L. Martínez, R. Andrade, E.G. Birgin, J.M. Martínez, PACKMOL: a package for building initial configurations for molecular dynamics simulations, J. Comput. Chem. 30 (13) (2009) 2157—2164.
N. Loupe, K. Abu-Hakmeh, S.T. Gao, L. Gonzalez, M. Ingargiola, K. Mathiowetz, R. Cruse, J. Doan, A. Schide, I. Salas, N. Dimakis, S.S. Jang, W.A. Goddard III, E. S. Smotkin, Group vibrational mode assignments as a broadly applicable tool for characterizing ionomer membrane structure as a function of degree of hydration, Chem. Mater. 32 (5) (2020) 1828—1843.
X. Liu, R.F. Shi, P.B. Zhang, Q.W. Gao, X.F. Xu, J. Cui, S.L. Zhao, CO 2 /CH 4 separation performance in polymers of intrinsic microporosity: all-atom·simulations on functional group effects, Ind. Eng. Chem. Res. 64 (16) (2025) 8506—8515.
F.Q. Teng, Y. Yang, Q.W. Gao, Z.X. Wei, Y.C. Li, J. Cui, S.L. Zhao, Design and performance evaluation of 6FDA-based polyimide membranes for enhanced CO 2 /CH 4 separation: insights from molecular dynamics simulations, J. Phys. Chem. B 129 (33) (2025) 8548—8560.
U. Essmann, L. Perera, M.L. Berkowitz, T. Darden, H. Lee, L.G. Pedersen, A smooth particle mesh Ewald method, J. Chem. Phys. 103 (19) (1995) 8577—8593.
T. Lu, Sobtop, Version1.0(dev4),2025.
A. Venkatnathan, R. Devanathan, M. Dupuis, Atomistic simulations of hydrated nafion and temperature effects on hydronium ion mobility, J. Phys. Chem. B 111 (25) (2007) 7234—7244.
M. Levitt, M. Hirshberg, R. Sharon, K.E. Laidig, V. Daggett, Calibration and testing of a water model for simulation of the molecular dynamics of proteins and nucleic acids in solution, J. Phys. Chem. B 101 (25) (1997) 5051 —5061.
I. Kusaka, Z.G. Wang, J.H. Seinfeld, Binary nucleation of sulfuric acid-water:Monte Carlo simulation, J. Chem. Phys. 108 (16) (1998) 6829—6848.
S. Pronk, S. Páll, R. Schulz, P. Larsson, P. Bjelkmar, R. Apostolov, M.R. Shirts, J. C. Smith, P.M. Kasson, D. van der Spoel, B. Hess, E. Lindahl, GROMACS 4.5: a high-throughput and highly parallel open source molecular simulation toolkit, Bioinformatics 29 (7) (2013) 845—854.
M.J. Abraham, T. Murtola, R. Schulz, S. Páll, J.C. Smith, B. Hess, E. Lindahl, GROMACS: high performance molecular simulations through multi-level parallelism from laptops to supercomputers, SoftwareX 1-2 (2015) 19—25.
G.J. Martyna, M.L. Klein, M. Tuckerman, Nosé—Hoover chains: the canonical ensemble via continuous dynamics, J. Chem. Phys. 97 (4) (1992) 2635—2643.
M. Parrinello, A. Rahman, Polymorphic transitions in single crystals: a new molecular dynamics method, J. Appl. Phys. 52 (12) (1981) 7182—7190.
G.J. Martyna, D.J. Tobias, M.L. Klein, Constant pressure molecular dynamics algorithms, J. Chem. Phys. 101 (5) (1994) 4177—4189.
R.J. Wang, S.S. Liu, L.D. Wang, M. Li, C. Gao, Understanding of nanophase separation and hydrophilic morphology in nafion and SPEEK membranes: a combined experimental and theoretical studies, Nanomaterials 9 (6) (2019) 869.
K.D. Kreuer, On the development of proton c onducting polymer membranes for hydrogen and methanol fuel cells, J. Membr. Sci. 185 (1) (2001) 29—39.
J.W. Liu, N. Suraweera, D.J. Keffer, S.T. Cui, S.J. Paddison, On the relationship between polymer electrolyte structure and hydrated morphology of perfluorosulfonic acid membranes, J. Phys. Chem. C 114(25) (2010) 11279—11292.
A.T. Kuo, A. Tanaka, J. Irisawa, W. Shinoda, S. Okazaki, Molecular dynamics study on the mechanical deformation of hydrated perfluorosulfonic acid polymer membranes, J. Phys. Chem. C 121 (39) (2017) 21374—21382.
D.R. Morris, X.D. Sun, Water-sorption and transport properties of nafion 117 H, J. Appl. Polym. Sci. 50 (8) (1993) 1445—1452.
A.T. Kuo, W. Shinoda, S. Okazaki, Molecular dynamics study of the morphology of hydrated perfluorosulfonic acid polymer membranes, J. Phys. Chem. C 120 (45) (2016) 25832—25842.
W.J. Wu, Y.F. Li, J.D. Liu, J.T. Wang, Y.K. He, K. Davey, S.Z. Qiao, Molecular-level hybridization of nafion with quantum dots for highly enhanced proton conduction, Adv. Mater. 30 (16) (2018) e1707516.
G. Bahlakeh, M. Nikazar, M.J. Hafezi, E. Dashtimoghadam, M.M. Hasani-Sadrabadi, Molecular dynamics simulation study of proton diffusion in polymer electrolyte membranes based on sulfonated poly (ether ether ketone), Int. J. Hydrogen Energy 37 (13) (2012) 10256—10264.
C.H. Rycroft, G.S. Grest, J.W. Landry, M.Z. Bazant, Analysis of granular flow in a pebble-bed nuclear reactor, Phys. Rev. E 74 (2) (2006) 021306.
T. Lu, F.W. Chen, Multiwfn: a multifunctional wavefunction analyzer, J. Comput. Chem. 33 (5) (2012) 580—592.
T. Lu, A comprehensive electron wavefunction analysis toolbox for chemists, Multiwfn, J. Chem. Phys. 161 (8) (2024), https://doi.org/10.1063/5. 0216272.
T.C. Berkelbach, H.S. Lee, M.E. Tuckerman, Concerted hydrogen-bond dynamics in the transport mechanism of the hydrated proton: a first-principles molecular dynamics study, Phys. Rev. Lett. 103 (23) (2009) 238302.
C. Arntsen, J. Savage, Y.L.S. Tse, G.A. Voth, Simulation of proton transport in proton exchange membranes with reactive molecular dynamics, Fuel Cells 16 (6) (2016) 695—703.
S.J. Paddison, Proton conduction mechanisms at low degrees of hydration in sulfonic acid—based polymer electrolyte membranes, Annu. Rev. Mater. Res. 33 (2003) 289—319.
W.J. Wu, Z.F. Zhou, Y. Wang, Y.T. Zhang, Y. Wang, J.T. Wang, Y.C. Zou, Manipulating the ionic nanophase of Nafion by in-situ precise hybridization with polymer quantum dot towards highly enhanced fuel cell performances, Nano Res. 15 (5) (2022) 4124—4131.
0
Views
0
Downloads
0
CSCD
Publicity Resources
Related Articles
Related Author
Related Institution
京公网安备11010102001993号