Significantly Enhanced Actuation Performance of IPMC by Surfactant-Assisted Processable MWCNT/Nafion Composite

The performance of Ionic Polymer Metal Composite (IPMC) actuator was significantly enhanced by incorporating surfactant-assisted processable Multi-Walled Carbon Nanotubes (MWCNTs) into a Nafion solution. Cationic surfactant Cetyl Trimethyl Ammonium Bromide (CTAB) was employed to disperse MWCNTs in the Nafion matrix, forming a homogeneous and stable dispersion of nanotubes. The processing did not involve any strong acid treatment and thus effectively preserved the excellent electronic properties associated with MWCNT. The as-obtained MWCNT/Nafion-IPMC actuator was tested in terms of conductivity, bulk and surface morphology, blocking force and electric current. It was shown that the blocking force and the current of the new IPMC are 2.4 times and 1.67 times higher compared with a pure Nafion-based IPMC. Moreover, the MWCNT/IPMC performance is much better than previously reported Nafion-IPMC doped by acid-treated MWCNT. Such significantly improved performance should be attributed to the improvement of electrical property associated with the addition of MWCNTs without acid treatment.     

Ion-Conductive Poly(vinyl alcohoi)-Based IPMCs

Partially crosslinked and sulfonated poly(vinyl alcohol) (s-PVA) membranes were prepared as ion-conductive matrices of Ionic Polymer-Metal Composite (IPMC) and a new IPMC based on the s-PVA membrane was fabricated via an electroless plating procedure of platinum. PVA was reacted with sulfosuccinic acid (SSA) as a crosslinking agent with a sulfonic group and 4-(2-hydroxyethyl)piperazine-1-propanesulfonic acid (EPPS) as a side chain with a sulfonic group. The crosslinked s-PVA membranes were characterized using a FT-IR spectroscope and a scanning electron microscope-combined energy-dispersive X-ray spectrometer and were assessed in terms of water absorption, proton conductivity, and the feasibility of electroless plating, Among the prepared ionomers, the s-PVA membrane obtained at 20 wt.% SSA and 10 wt.% EPPS (S20E10 membrane) registered the highest proton conductivity of 2.9 × 10~(-2) S·m~(-1), which corresponds to one third of that of Nafion series, and only the S20E10 membrane was successfully plated via the electroless plating method without any crack and broken part. The s-PVA-based IPMC showed the one-directional displacement with 1-minute-long time-lapse comparable to typical Nafion-based IPMCs. However, the displacement under an AC potential was very limited due to its slow deformation response and the actuation performance was severely varied with actuation time including the short service life of several minutes in air. The short and variable actuation of the s-PVA-based IPMC was attributed to its large variation of surface and ionic resistances during air-operation, which is induced by the low ratio of bound to free water.     

Ion-Conductive Poly(vinyl alcohol)-Based IPMCs

Partially crosslinked and sulfonated poly(vinyl alcohol) (s-PVA) membranes were prepared as ion-conductive matrices of Ionic Polymer-Metal Composite (IPMC) and a new IPMC based on the s-PVA membrane was fabricated via an electroless plating procedure of platinum. PVA was reacted with sulfosuccinic acid (SSA) as a crosslinking agent with a sulfonic group and 4-(2-hydroxyethyl)piperazine-1-propanesulfonic acid (EPPS) as a side chain with a sulfonic group. The crosslinked s-PVA membranes were characterized using a FT-IR spectroscope and a scanning electron microscope-combined energy-dispersive X-ray spectrometer and were assessed in terms of water absorption, proton conductivity, and the feasibility of electroless plating. Among the prepared ionomers, the s-PVA membrane obtained at 20 wt.% SSA and 10 wt.% EPPS (S20E10 membrane) registered the highest proton conductivity of 2.9 × 10^?2 S·cm^?1, which corresponds to one third of that of Nafion series, and only the S20E10 membrane was successfully plated via the electroless plating method without any crack and broken part. The s-PVA-based IPMC showed the one-directional displacement with 1-minute-long time-lapse comparable to typical Nafion-based IPMCs. However, the displacement under an AC potential was very limited due to its slow deformation response and the actuation performance was severely varied with actuation time including the short service life of several minutes in air. The short and variable actuation of the s-PVA-based IPMC was attributed to its large variation of surface and ionic resistances during air-operation, which is induced by the low ratio of bound to free water.     

An artificial muscle actuator for biomimetic underwater propulsors

In this paper, we introduce the analytical framework of the modeling dynamic characteristics of a soft artificial muscle actuator for aquatic propulsor applications. The artificial muscle used for this underwater application is an ionic polymer-metal composite (IPMC) which can generate bending motion in aquatic environments. The inputs of the model are the voltages applied to multiple IPMCs, and the output can be either the shape of the actuators or the thrust force generated from the interaction between dynamic actuator motions and surrounding water. In order to determine the relationship between the input voltages and the bending moments, the simplified RC model is used, and the mechanical beam theory is used for the bending motion of IPMC actuators. Also, the hydrodynamic forces exerted on an actuator as it moves relative to the surrounding medium or water are added to the equations of motion to study the effect of actuator bending on the thrust force generation. The proposed method can be used for modeling the general bending type artificial muscle actuator in a single or segmented form operating in the water. The segmented design has more flexibility in controlling the shape of the actuator when compared with the single form, especially in generating undulatory waves. Considering an inherent nature of large deformations in the IPMC actuator, a large deflection beam model has been developed and integrated with the electrical RC model and hydrodynamic forces to develop the state space model of the actuator system. The model was validated against existing experimental data.     

Manufacture and Performance of Ionic Polymer-Metal Composites

Ion-exchange Polymer Metal Composites （IPMC） are a new class of intelligent material that can be used effectively as actuators and artificial muscles. IPMC was fabricated and its displacement and force characteristics were investigated with respect to voltage, frequency and waveform of the controlling signal. A square waveform input generated slightly larger displacement and force than sinusoidal or triangular waveform. When the voltage was increased and the frequency was decreased, displacement and force were both increased. However, although the bending deformation of IPMC was large, the output force was much lower than we expected. Improvement of the force output is key and is the main obstacle to be overcome in order to make IPMC of practical use.     

Advanced Electro-active Dry Adhesive Actuated by an Artificial Muscle Constructed from an Ionic Polymer Metal Composite Reinforced with Nitrogen-doped Carbon Nanocages

An advanced electro-active dry adhesive,which was composed of a mushroom-shaped fibrillar dry adhesive array actuated by an Ionic Polymer Metal Composite (IPMC) artificial muscle reinforced with nitrogen-doped carbon nanocages (NCNCs),was developed to imitate the actuation of a gecko's toe.The properties of the NCNC-reinforced Nafion membrane,the electromechanical properties of the NCNC-reinforced IPMC,and the related electro-active adhesion ability were investigated.The NCNCs were uniformly dispersed in the 0.1 wt％ NCNC/Nafion membrane,and there was a seamless connection with no clear interface between the dry adhesive and the IPMC.Our 0.1 wt％ NCNC/Nafion-IPMC actuator shows a displacement and force that are 1.6-2 times higher than those of the recast Nafion-IPMC.This is due to the increased water uptake (25.39％) and tensile strength (24.5 MPa) of the specific 3D hollow NCNC-reinforced Nafion membrane,as well as interactions between the NCNCs and the sulfonated groups of the Nafion.The NCNC/Nafion-IPMC was used to effectively actuate the mushroom-shaped dry adhesive.The normal adhesion forces were 7.85 mN,12.1 mN,and 51.7 mN at sinusoidal voltages of 1.5 V,2.5 V,and 3.5 V,respectively,at 0.1 Hz.Under the bionic leg trail,the normal and shear forces were approximately 713.5 mN (159 mN·cm-2) and 1256.6 mN (279 mN·cm-2),respectively,which satisfy the required adhesion.This new electro-active dry adhesive can be applied for active,distributed actuation and flexible grip in robots.     

Verification of Beam Models for Ionic Polymer-Metal Composite Actuator

Ionic Polymer-Metal Composite (IPMC) can work as an actuator by applying a few voltages.A thick IPMC actuator,whereNafion-117 membrane was synthesized with polypyrrole/alumina composite filler,was analyzed to verify the equivalent beamand equivalent bimorph beam models.The blocking force and tip displacement of the IPMC actuator were measured with a DCpower supply and Young’s modulus of the IPMC strip was measured by bending and tensile tests respectively.The calculatedmaximum tip displacement and the Young’s modulus by the equivalent beam model were almost identical to the correspondingmeasured data.Finite element analysis with thermal analogy technique was utilized in the equivalent bimorph beam model tonumerically reproduce the force-displacement relationship of the IPMC actuator.The results by the equivalent bimorph beammodel agreed well with the force-displacement relationship acquired by the measured data.It is confirmed that the equivalentbeam and equivalent bimorph beam models are practically and effectively suitable for predicting the tip displacement,blockingforce and Young’s modulus of IPMC actuators with different thickness and different composite of ionic polymer membrane.     

Numerical Simulation of Dynamic Electro-Mechanical Response of Ionic Polymer-Metal Composites

Ionic Polymer-Metal Composites (IPMC) is an emerging class of Electro-Active Polymer (EAP) materials. IPMC has attractive features, such as high sensitivity and light weight, which are useful for developing novel designs in the fields of bionic actuators, artificial muscles and dynamic sensors. A Finite Element (FE) model was developed for simulating the dynamic electro-mechanical response of an IPMC structure under an external voltage input. A lumped Resistor-Capacitor (RC) model was used to describe the voltage-to-current relationship of a Nafion IPMC film for the computation of electric field intensity. Moreover, the viscoelastic property of the IPMC film was considered in the model and the non-uniform bending behavior was also taken into account. Based on the proposed model and the assumption that the thicknesses of the two electrodes are the same and uniform, the optimal coating thickness of the IPMC electrode was determined. It was demonstrated that the dynamic electro-mechanical response of the IPMC structure can be predicted by the proposed FE model, and the simulation results were in good agreement with the experimental findings.     

Biomimetic robotic Venus flytrap (Dionaea muscipula Ellis) made with ionic polymer metal composites

The work described in this paper is a novel design of a robotic Venus flytrap (VFT) (Dionaea muscipula Ellis) by means of ionic polymeric metal composite (IPMC) artificial muscles as distributed nanosensors and nanoactuators. Rapid muscular movements in carnivorous plants, such as VFT, which are triggered by antenna-like sensors (trigger hair), present a golden key to study distributed biomolecular motors. Carnivorous plants, such as VFT, possess built-in intelligence (trigger hairs), as a strategy to capture prey, that can be turned on in a controlled manner. In the case of the VFT, the prey that is lured by the sweet nectar in the VFT pair of jaw-like lobes has to flip and move the trigger hairs, which are colorless, bristle-like and pointed. The dynamically moved trigger hairs then electro-elastically send an electric signal to the internal ions in the lobe to migrate outwardly for the jaw-like lobes to close rapidly to capture the prey. The manner in which the VFT lobes bend inward to capture the prey shows a remarkable similarity with typical IPMCs bending in an electric field. Furthermore, the mechano-electrical sensing characteristics of IPMCs also show a remarkable resemblance to mechano-electrical trigger hairs on the lobes of the VFT. The reader is referred to a number of papers in connection with sensing and actuation of IPMCs in particular. Thus, one can integrate IPMC lobes with a common electrode in the middle of one end of the lobes to act like a spine and use IPMC bristles as trigger finger to sense the intrusion of a fly or insect to send a sensing signal to a solid state relay which then triggers the actuation circuit of the IPMC lobes to rapidly bend toward each other and close. The two lobes, which form the trap, are attached to the midrib common electrode which is conveniently termed the spine. The upper surface of each lobe is dished, and spaced along the free margins of the lobes with some 15-20 prong-like teeth. These are tough and pointed, and are inclined at an inward angle so that when the trap is sprung shut they will interlock. We have been experimenting with the VFT closing of its jaw-like lobes that close in about 0.3 s and have gained a lot of knowledge to report on the ionic and electrical mechanisms involved in the operation of such intelligent distributed biomolecular motors.     

Cytologic study of noninvasive intraductal papillary-mucinous carcinoma of the pancreas

OBJECTIVE: To examine the cytologic features of noninvasive intraductal papillary-mucinous carcinoma (IPMC) in an attempt to differentiate it cytologically from hyperplasia, invasive IPMC and invasive ductal adenocarcinoma (IDA). STUDY DESIGN: Tumor samples from 23 patients clinically diagnosed with a mucin-producing tumor of the pancreas, including 10 cases of hyperplasia, 10 noninvasive IPMCs and 3 invasive IPMCs, and tumor samples from 21 patients with IDA, were examined cytologically. Cytologic specimens were obtained in various ways, such as by fine needle aspiration, imprint, brushing, vinyl tube aspiration and aspiration from a cannula at endoscopic retrograde cholangiopancreatography. RESULTS: Cytologically, all 10 noninvasive IPMCs exhibited clearly defined cytoplasmic boundaries (+1, ++4, ++ and mainly small nuclei (++7, +++3), with nuclear size and cytoplasm similar to those of hyperplastic cells, and irregular chromatin distribution (+2, ++8) and prominent nucleoli (-2, +4, ++3, +++1), all atypical nuclear features similar to those of invasive IPMC or IDA. There also were small papillary cohesive clusters (-1, +2, ++4, +++3) and euchromatin (+1, ++1, +++8), which were found only in IPMCs. CONCLUSION: The cytologic features of small, malignant nuclei and small papillary cohesive clusters are suggestive of noninvasive IPMC. Furthermore, the addition of clearly defined cell borders and euchromatin and the presence of some goblet cells are more strongly suggestive of noninvasive IPMC.     

Preparation of gradually componential metal electrode on solution-casted Nafion membrane

A typical ionic polymer-metal composite consists of a thin perfluorinated ionomer membrane and noble metal electrodes plated on both surfaces. It undergoes a large bending motion when an electric field is applied hence exhibits deformation by a certain amount of cation. With proper arrangement and package, a great number of "smart devices" are anticipated. In this study, a solution-cast route was used to prepare the electro-active polymer membrane and platinum electrodes were fabricated onto the membrane through electro-less plating. The ionic polymer used is the commercial Nafion, the perfluoro-sulfonated ionomer membrane, developed by DuPont Co. Nafion membrane was cast by the solution-casting route and then loaded with different weights simultaneously. The optimized processing conditions, membrane properties and electrodes behaviors were investigated. The results of shift in WAXD peaks showed that weights delineated the crystallinity of the solution-cast membranes. The number and size of the crystalline domains of solution-cast membrane decrease as studied by SAXS. The Young's modulus of solution-cast membrane decreases as increasing weight because of the loss of crystallinity (180-140 MPa). A finely dispersed platinum particle deeper and gradient penetrating within the near-boundary region with a smaller average particle size and more uniform distribution could be obtained through a reverse electro-less plating. Its surface roughness is 3 nm comparing to 52 nm of a typical process. But its surface resistance is too high (3.5 Omega) to activate the bending motion. To solve this problem, we coated the second Pt electrodes by a typical electro-less plating, and the resistance decreased to 0.7 Omega. The results depicted that the fabricated IPMC shows longer bending lifetime than typical IPMC. In a 0.09% NaCl solution, the device was able to vibrate for 8h under a 5 V, 0.1 Hz actuation.     

Silicone fouling-release coatings: effects of the molecular weight of poly(dimethylsiloxane) and tetraethyl orthosilicate on the magnitude of pseudobarnacle adhesion strength

A series of poly(dimethyl siloxane) (PDMS)/silica nanocomposites were synthesized utilizing a sol gel method. The samples were evaluated using pseudobarnacle adhesion and tensile strength tests. The effects of the molecular weight of the PDMS and the size and structure of the silica domains on biofouling release and the mechanical behavior of the PDMS/silica materials were investigated. Three different molecular weights (18,000, 49,000 and 79,000 g mol(-1)) of hydroxyl-terminated PDMS (HT-PDMS) were used to prepare the nanocomposites with three different weight ratios (1:1, 3:1 and 5:1) of HT-PDMS to tetraethyl orthosilicate (TEOS). TEOS served as a crosslinker to form PDMS networks and as a precursor to form silica domains. Two different variants of TEOS with regard to its degree of polymerization (n) (monomeric type: n ≈= 1 and oligomeric type: n ≈= 5) were used for in situ formation of silica particles via the sol-gel process. The mechanical properties of the composites were characterized using stress-strain isotherms. All the mechanical properties evaluated (Young's modulus, tensile strength, energy required for rupture, elongation at break) improved with increases in the molecular weight of the HT-PDMS and the silica content. The pseudobarnacle adhesion test was used to examine the fouling- release (FR) properties of coatings applied on aluminum plates. The rupture energy and tensile strength increased substantially when oligomeric TEOS was employed in the PDMS/silica composites. Scanning electron microscopy (SEM) was used to investigate the structure of the silica domains. It was found that the use of oligomeric TEOS in higher molecular weight PDMS samples with higher PDMS/TEOS weight ratios led to low pseudobarnacle adhesion strengths of ≈ 0.3 MPa, which is in the range of commercial FR coatings.     

A ferric chloride pre-treatment to prevent calcification of Nafion membrane used for implantable biosensors.

Since the perfluorosulfonated ionomer Nafion, commonly used for the protection of biosensors, experiences calcification in a biological environment, we evaluated the efficacy of preincubating Nafion membranes in a FeCl3 solution to reduce the number of nucleation sites responsible for the growth of the calcium phosphate crystals. Nafion membranes were prepared and divided into two groups. In the first group, the Nafion membranes were pre-incubated in 0.1 M FeCl3 for a 24 h period. In the second group, no pre-incubation took place. All membranes were placed in a culture medium for a period of up to 4 weeks. All membranes were then examined for changes in: (1) their surface topography (using scanning electron microscopy (SEM)); (2) their near surface chemical properties (using energy dispersive X-ray (EDX)); and (3) their permeability to glucose. The membranes that were not pre-incubated in FeCl3 showed significant cracking of the Nafion surface, extensive calcium phosphate deposits and a resulting decrease in permeability. In contrast, the membranes treated with FeCl3 showed almost no cracking, very little calcium phosphate deposits and no change in permeability to glucose. This study demonstrated that FeCl3 significantly reduces calcification of Nafion and thus should help in preserving the in vivo function of implantable biosensors that utilize Nafion in their design.     

Dehydration of an ethanol/water azeotrope by novel organic-inorganic hybrid membranes based on quaternized chitosan and tetraethoxysilane

To control swelling of quaternized chitosan (q-Chito) membranes, mixtures of q-Chito as an organic component and tetraethoxysilane (TEOS) as an inorganic component were prepared using the sol-gel reaction, and novel q-Chito/TEOS hybrid membranes were formed. In the separation of an ethanol/water azeotrope by pervaporation, the effect of TEOS content on the water/ethanol selectivity of q-Chito/TEOS hybrid membranes was investigated. Hybrid membranes containing up to 45 mol % TEOS exhibited higher water/ethanol selectivity than the q-Chito membrane. This resulted from depressed swelling of the membranes by formation of a cross-linked structure. However, introduction of excess TEOS led to greater swelling of the hybrid membranes. Therefore, the water/ethanol selectivity of the hybrid membranes containing more than 45 mol % TEOS was lower than that of the q-Chito membrane. The relationship between the structure of q-Chito/TEOS hybrid membranes and their permeation and separation characteristics during pervaporation of an ethanol/water azeotrope is discussed in detail.     

Displacement current on purple membrane fragments oriented in a suspension

The displacement current is measured in a suspension of electric field-oriented purple membranes isolated from Halobacterium halobium, the photocycle being driven by a light flash. A simple quantitative theory of the method is presented and used to evaluate the distances the protons move during their way through the bacteriorhodopsin molecules. A lower limit of the velocity of proton movement is also given.     

Improving the environment for immobilized dehydrogenase enzymes by modifying Nafion with tetraalkylammonium bromides

Recent research in our group has shown that mixture-casting Nafion with quaternary ammonium bromides can increase the electrochemical flux of redox couples through the membrane and allow for larger redox species to diffuse to the electrode surface. The research has also suggested that when these salts are cast with Nafion micellar pore size is changing. Therefore, it was proposed that the quaternary ammonium salts could be employed to tailor the structure of the Nafion membrane for immobilizing enzymes in the polymer. For cations with a high affinity for the sulfonic acid groups of Nafion, the modified structure of Nafion can also help to stabilize the enzyme and increase activity by providing a protective outer shell and an ideal chemical environment that resists a decrease in pH within the pore structure. This research examines the ability to immobilize dehydrogenase enzymes in Nafion that has been modified with quaternary ammonium bromides. Fluorescence assays, fluorescence microscopy, and cyclic voltammetric studies were employed to analyze the ability to immobilize an enzyme within the membrane, to determine the activity of the immobilized enzyme and to examine the transport of coenzyme within the membrane. Dehydrogenase enzymes immobilized in tetrabutylammonium bromide/Nafion membranes have shown high catalytic activity and enzyme active lifetimes of greater than 45 days. A variety of dehydrogenase enzymes have been successfully immobilized in the membrane, including: alcohol dehydrogenase, aldehyde dehydrogenase, glucose dehydrogenase, and lactic dehydrogenase.     

细胞离子在振荡电磁场作用下的受力模型分析

本文通过生物细胞模型,研究振荡电场、振荡磁场以及振荡磁场产生的感应电场对细胞离子的作用机理。模型分析结果表明,电场力和罗仑兹力对细胞膜两侧的自由离子将产生加速度,振荡离子将产生周期性电位移。该模型同时也解释了脉冲电磁场比同参教的连续场产生更多的生物效应,以及连续场在开始施加和切除时的效应最大。     

A local friction model to develop microscopic transport parameters for membrane-soluble ions in bilayer membranes

Charged membrane-soluble ions in bilayer membranes move between opposing interfacial states on application of an electric field. The kinetics of this transition is modeled as discrete state electrophoresis using a Langevin formulation that focuses on local velocities at points along the spatial trajectory of the ion. These local velocities are used to establish both the decay time for the transition and the activation energy profile along the trajectory. The local velocities depend on local frictional coefficients. These coefficients are developed from the molecular structure along the trajectory by introducing a microscopic frictional force. This frictional force is produced by the lateral displacement of segments of the surrounding membrane molecules as the ion passes. The displaced molecular chains produce a non-linear resistive force that translates into a frictional force directly proportional to both ion radius and velocity.     

Modelling Biological Gel Contraction by Cells: Mechanocellular Formulation and Cell Traction Force Quantification

Traction forces developed by most cell types play a significant role in the spatial organisation of biological tissues. However, due to the complexity of cell-extracellular matrix interactions, these forces are quantitatively difficult to estimate without explicitly considering cell properties and extracellular mechanical matrix responses. Recent experimental devices elaborated for measuring cell traction on extracellular matrix use cell deposits on a piece of gel placed between one fixed and one moving holder. We formulate here a mathematical model describing the dynamic behaviour of the cell-gel medium in such devices. This model is based on a mechanical force balance quantification of the gel visco-elastic response to the traction forces exerted by the diffusing cells. Thus, we theoretically analyzed and simulated the displacement of the free moving boundary of the system under various conditions for cells and gel concentrations. This modelis then used as the theoretical basis of an experimental device where endothelial cells are seeded on a rectangular biogel of fibrin cast between two floating holders, one fixed and the other linked to a force sensor. From a comparison of displacement of the gel moving boundary simulated by the model and the experimental data recorded from the moving holder displacement, the magnitude of the traction forces exerted by the endothelial cell on the fibrin gel was estimated for different experimental situations. Different analytical expressions for the cell traction term are proposed and the corresponding force quantifications are compared to the traction force measurements reported for various kind of cells with the use of similar or different experimental devices. This revised version was published online in June 2006 with corrections to the Cover Date.     

Molecular dynamics simulation of hydrated Nafion with a reactive force field for water

We apply a newly parameterized central force field to highlight the problem of proton transport in fuel cell membranes and show that central force fields are potential candidates to describe chemical reactions on a classical level. After a short sketch of the parameterization of the force field, we validate the obtained force field for several properties of water. The experimental and simulated radial distribution functions are reproduced very accurately as a consequence of the applied parameterization procedure. Further properties, geometry, coordination, diffusion coefficient and density, are simulated adequately for our purposes. Afterwards we use the new force field for the molecular dynamics simulation of a swollen polyelectrolyte membrane similar to the widespread Nafion 117. We investigate the equilibrated structures, proton transfer, lifetimes of hydronium ions, the diffusion coefficients, and the conductivity in dependence of water content. In a short movie we demonstrate the ability of the obtained force field to describe the bond breaking/formation, and conclude that this force field can be considered as a kind of a reactive force field. The investigations of the lifetimes of hydronium ions give us the information about the kinetics of the proton transfer in a membrane with low water content. We found the evidence for the second order reaction. Finally, we demonstrate that the model is simple enough to handle the large systems sufficient to calculate the conductivity from molecular dynamics simulations. The detailed analysis of the conductivity reveals the importance of the collective moving of hydronium ions in membrane, which might give an interesting encouragement for further development of membranes. Figure: The structure of water in one pore of the highly hydrated Nafion membranes. Figure The structure of water in one of pore of the highly hydrated Nafion membrane Electronic supplementary material The online version of this article (doi:) contains supplementary material, which is available to authorized users.