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Conductivity measurement of ionic liquids confined in the nanopores of metal–organic frameworks: a case study for [BMIM][TFSI] in HKUST-1

Nanoporous materials like metal–organic frameworks (MOFs) attract considerable attention as porous host for electrolytes like ionic liquids (ILs). The conductivity and mobility of the ions in the pores are among the key properties and their experimental quantification is of paramount importance. Here, three different approaches for the quantification of the ion conductivity of IL@MOF via electrochemical impedance spectroscopy (EIS) are compared: the material in the form of IL-impregnated MOF powders pressed into pellets between two planar electrodes, MOF films grown on substrates with deposited electrodes loaded with IL by impregnation, and the IL-loaded MOF films where excess IL is removed. Contact-angle measurements and EIS data show that the excess IL on the outer MOF surface of the film or pellet results in apparent conductivities, larger than the intrinsic conductivity of the IL@MOF. Removing the excess IL enables the experimental quantification of the intrinsic IL@MOF conductivity. The ionic conduction of ionic liquid (IL) confined in nanoporous metal–organic framework (MOF) is explored via impedance spectroscopy, where the material is either in the form of pellets pressed from powder or in the form of thin films grown on suitable substrates. The different methods show substantially different results, attributed to excess IL on the external surface, and a method for recording the intrinsic IL@MOF conductivity is presented.


Introduction
Ionic liquids (ILs) are organic salts with low melting temperatures, typically below room temperature [1,2]. ILs possess various exclusive properties like a negligible vapor pressure, excellent thermal stability, non-flammability, high ionic conductivity, large electrochemical windows, and to some extent adjustable physical and chemical properties. As a result, ILs find widespread applications as electrolytes [3][4][5][6]. For many uses, solid-state properties are preferred and the fluid nature of ILs limits their practicality due to leakage problem and non-portability. Thus, ILs confined in suitable porous hosts have been established to obtain conductive, hybrid, solid-like materials.
Metal-organic frameworks (MOFs) [7,8] are a novel class of nanoporous, crystalline hybrid materials which are attractive hosts for IL embedment. For example, ILs embedded in MOFs enable the control of the phase behavior and of the IL properties via host-guest interactions [9][10][11][12].
A key feature of MOFs as hosts for IL is the ionic conductivity of the IL@MOF material. Usually, the IL@MOF material is prepared in the form of powders [13][14][15] and then pressed into pellets, and the conductivity of the pellet sandwiched between two electrodes is determined by electrochemical impedance spectroscopy (EIS). The IL loading is usually performed by impregnation, that is, soaking the porous MOF with IL. There, it was found that a significant amount of (excess) IL is present on the outer surface of the MOF crystals [15][16][17]. The excess IL on the external MOF surface is described as "nanowetted interface" [15], and the IL-MOF material is described as "gel like hybrids" [16], where "the sample is observed to be in the liquid phase… and the excess IL flows out" [17]. The excess IL, which can be beneficial for the contacts to the electrodes [15], hinders the accurate determination of the ionic conduction of IL@ MOFs by EIS. It should be noted that the excess IL does not evaporate like other solvents, due to the negligible small vapor pressure. Since the mobility of the ion typically tremendously decreases by the embedment in the nanopores, the excess IL is typically much more mobile than the IL in the MOF pores. As a result, the impedance of the sample 1 3 488 measured by EIS is dominated by the highly conducting excess IL in comparison to the IL in the MOF pores, whose comparatively low conductivity barely contributes to the total measured conductivity. An alternative approach is the preparation of substrate-bound MOF films, where the excess IL on the surface upon loading can be washed off by rinsing.
The aim of the present communication is to explore the conduction of IL@MOF and to compare different ways of conductivity measurements. To this end, we use MOF powders impregnated with IL and pressed into pellets for EIS measurements, following standard procedures (approach-I). In an alternative approach, thin MOF films prepared in a layer-by-layer fashion on glass substrates with deposited electrodes are used (Fig. 1). The presence of excess IL upon loading (approach-II) is shown by contact angle measurements. In approach-III, the excess IL on the MOF film surface is rinsed off. We use IL of type [BMIM][TFSI] and MOF of type HKUST-1.
[BMIM] stands for 1-butyl-3-methylimidazolium, [TFSI] for bis(trifluoromethylsulfonyl)imide, and HKUST-1 stands for Hong Kong University of Science and Technology-1 [18]. Comparing approach-II and -III, we show that the excess IL on the MOF surface substantially increases the determined (apparent) conductivity. Moreover, the determined IL conductivity dependence on the IL@ MOF loading differs for the approaches-I, -II, and -III. In approaches-I and -II, the determined conductivity increases with increasing IL loading, which cannot be explained by a conduction mechanism of IL inside the MOF and which is most likely caused by increasing amounts of excess IL on the MOF surface and between the MOF crystallites, respectively. In approach-III, the determined conductivity decreases with increasing IL loading, in very good agreement with molecular dynamics simulations. Thus, we suggest MOF films prepared on appropriate substrates with deposited electrodes where excess IL is rinsed off as suitable model system for precise quantification of the ionic conductivity of IL inside MOF pores via EIS measurements.

Synthesis of HKUST-1 powder
Powder HKUST-1 samples were prepared following a standard synthesis procedure, described in ref. [19]. In detail, Cu(NO 3 ) 2 ·3H 2 O (0.87 g, 3.6 mmol) and benzene-1,3,5tricarboxylic acid (BTC, 0.42 g, 2.0 mmol) were dissolved in 24 ml of 50:50 vol.% mixture of ethanol and deionized water. The resulting solution was kept in a Teflon-lined auto-clave at 100 °C for 24 h. Upon cooling to room temperature, a crystalline powder was found. The powder was centrifuged and washed thoroughly with a mixture of water and ethanol (50% v/v). Finally, the powder was activated under vacuum at 120 °C for 16 h and stored in Argon for further experiments.

Loading of ionic liquid in MOF powder and IL@ HKUST-1-pellet preparation
For the loading of the MOF powder with IL, different amounts of [BMIM][TFSI] IL were added to the activated HKUST-1 powder, homogeneously mixed, and heated under vacuum at 120 °C overnight. In detail, the IL amounts were 74.9 mg per 100 mg MOF for 100% loading, 71.1 mg of IL per 100 mg MOF for 95% loading, 59.9 mg of IL per 100 mg MOF for 80% loading, 37.4 mg of IL per 100 mg MOF for 50% loading, and 11.2 mg of IL per 100 mg MOF for 15% loading. The volume of the amount of IL corresponds to the percentage of the void pore volume in the MOF. For the preparation of the IL@MOF pellets, we followed standard directions [20]. In detail, for each pellet, 200-400 mg of the material was placed inside a stainless steel press and the pellet was formed under a pressure of approximately 150 MPa. The resulting pellets had cylindrical shapes of 13 mm diameter with thicknesses of approximately 1.7-2 mm.

Synthesis of HKUST-1 SURMOF
The surface-mounted MOF (SURMOF) thin films were prepared in a layer-by-layer (lbl) fashion on glass substrates with deposited interdigitated gold electrodes [21]. In detail, the lbl growth process consists of alternately exposing the substrate to the ethanolic solutions of the building units, that is, the metal nodes (here, 1 mM copper acetate) and the organic linkers (here: 0.2 mM BTC). Between each immersion step, the sample surfaces were cleaned with pure ethanol. The SURMOF samples were prepared in 50 lbl synthesis cycles by using a spray method [21]. Before the SURMOF synthesis, the interdigitated gold electrode substrates were treated by UV-ozone treatment for 15 min to remove impurities and to increase the number of OH functional groups and the hydrophilicity. The interdigitated gold electrodes on glass substrates were obtained from DropSens. The total length of the gap between the gold electrodes is 1.69 m and the gap width is 10 µm.

Loading of IL in SURMOFs
The IL loading of the HKUST-1 SURMOFs was performed by immersing the samples in IL/acetonitrile solutions with IL-ratios of 15%, 50%, 80%, 95%, and 100%. The time of the immersion at room temperature was 20 min. Afterwards, a pure nitrogen flow was used to dry the sample and to try to blow off IL from the sample surface (approach-ii). Alternatively, the samples were rinsed with acetonitrile for approximately 2 s and then dried in a flow of pure nitrogen (approach-iii).

X-ray diffraction and scanning electron microscopy
The X-ray diffractograms (XRD) were measured in out-ofplane geometry using a Bruker D8-Advance diffractometer equipped with a position-sensitive detector in Ɵ-2Ɵ geometry. A Cu-anode with a wavelength of λ = 0.154 nm was used. Scanning electron microscopy (SEM) images were recorded with a TESCAN VEGA3 thermionic emission SEM system. For the cross-section analysis, samples were broken. Prior to SEM analysis, all the samples were coated with a thin platinum layer by sputtering at high vacuum.

Infrared (IR) spectroscopy
Infrared reflection absorption spectroscopy (IRRAS) was used for recording the IR vibration spectra of the SURMOF samples. A FT-IR spectrometer of type Vertex 80 from Bruker equipped with a grazing incidence reflection unit and a narrow band MCT detector was employed to record the FT-IR data from SURMOF films. The IRRAS chamber was purged with pure nitrogen.

Measurement of ionic conduction properties
The electrochemical impedance spectra (EIS) were measured with a Zurich Instruments MFIA Impedance Analyzer for a frequency range of 5 MHz to 0.5 Hz. The AC voltage is 300 mV. No DC voltage is applied. The SURMOF samples were placed in a home-made Teflon cell where the interdigitated gold electrodes were contacted in a two-probe way.
The electric field between two (interdigitated) electrodes is approximately 0.03 V m −1 . The cell was purged with pure nitrogen with a flow rate of roughly 250 mL min −1 . The IL concentration was varied in cycles of 15%, 50%, 80%, 95%, and 100% IL pore filling and repeated 5 times. The average values with the standard deviation as error bars are shown. The conduction of the pellets was measured by positioning the IL@MOF pellets with different IL loadings between 2 planar electrodes, which are conducting Si wafer with a gold thin film (150 nm thickness). All experiments were performed at room temperature in an atmosphere of pure nitrogen.

Contact Angle
Contact angle measurements were performed on an attension optical contact angle analysis systems from Biolin Scientific. Droplets of deionized water and diiodomethane, respectively, were placed on the substrate, while recording the images. The image analysis was carried out with the software "one attension" using a Young-Laplace analysis mode. The relative humidity and temperature were 43.3% and 22.8 °C. Since water and CH 2 I 2 may destroy the structure of HKUST-1, the measurements were performed at many different pristine positions on the same sample.

Results and discussion
MOF pellets and MOF thin films were prepared as described in the experimental section. The X-ray diffractograms (XRDs; Fig. 2a) of the samples show that the MOF materials are crystalline with the targeted HKUST-1 structure. The crystallinity of the pristine sample also remains upon IL loading. The relative intensities of the XRD peak change, which is a clear indication for the form factor change, caused by the IL loading in the MOF pores.
The SEM images of the samples are shown in Fig. 2b-e. The SEM images (Fig. 2b and c) show that the MOF powder is made of crystallites of roughly 1 to 3 µm extension. The crystal facets of some MOF crystals are visible. The top-view SEM images of the SURMOF films (Fig. 2d), in which the interdigitated gold electrode substrates are visible as bright strips, show the homogenous surface coverage of the substrate with the MOF film. SEM images of the crosssection of a broken sample (Fig. 2e) show a SURMOF film thickness of approximately 250 nm.
For mixing and diluting the IL, acetonitrile (ACN) was chosen as solvent because of its full mixability with [BMIM] [TFSI] and its very small conductivity. Thus, the measured conductivity can be solely attributed to the IL. In a previous study, we found that the percentage of the IL in the IL-ACN solution approximately corresponds to the IL pore filling upon impregnation and drying [22]. Acetonitrile is very volatile at room temperature and can evaporate from the MOF pores. The infrared spectra of a SURMOF which was initially loaded with acetonitrile are shown in Fig. 3a. The transient spectra show that acetonitrile desorbs from the MOF film and the release time constant is approximately 25 min. For a sample initially loaded with a solution of IL-ACN 1:1, the transient infrared spectra are shown in Fig. 3b. There, the intensity of the ACN band also decreases quickly, indicating the ACN desorption. The determined time constant is slightly larger, that is, 31 min. The slightly decelerated desorption process is presumably caused by the IL which decreases the ACN diffusion rates. In both cases, i.e. pure After loading the SURMOF with IL via soaking in the ILsolution, additional excess IL can be present on the external sample surface. This excess IL is visible by a slight gloss and cannot be removed by blowing away with pure nitrogen. Contact angle measurements with water and diiodomethane were used to verify the excess IL. For the pristine SUR-MOF, the contact angle for water and diiodomethane are approximately 52° and 32°, respectively. Upon loading the SURMOF with IL (without rinsing the surface), the contact angles change to 26° and 58°, respectively ( Fig. 4 and Table S1). The change of the contact angle clearly indicates that the surface of the SURMOF becomes more hydrophilic and less affine towards diiodomethane upon IL loading. Since the contact angle is controlled by the surface termination and not by the pore filling of the MOF, we conclude that there is excess IL on the SURMOF surface. The excess IL on the surface was removed by rinsing with ACN for approximately 2 s. Upon rinsing and drying with nitrogen gas flow, the contact angles are 50° and 29° for water and diiodomethane, respectively. These values are very close to the values from the pristine sample. Thus, the contact angle measurements show that there is excess IL on the SURMOF surface upon IL loading and the excess IL can be removed by short ACN rinsing.
The conductivity of the IL@MOF samples was measured by impedance spectroscopy. Typical Nyquist plots of the samples with different IL-pore fillings are shown in Fig. 5. The data can be described with the appropriate reference circuit, also referred to as CPE geo ∥(R-CPE dl ) circuit, shown in the inset. The determined ohmic resistances of the samples with different IL loadings are shown in Figure S1.
Based on the determined ohmic resistances, the sample geometry, and film thicknesses, the conductivity can be calculated, as shown in Fig. 6. The calculated conductivities are in the range of 10 −7 to 10 −4 S m −1 , which is many orders of magnitude larger than the conductivity of empty HKUST-1 [23].
For the measurements of the IL@SURMOF without rinsing the surface, this means with excess IL on the outer surface, the calculated conductivity increases when increasing the IL pore filling from 15 to 80%. The same trend, with an even larger magnitude, is also observed for the IL@MOF-pellet samples. The conductivity of the IL@ SURMOF-sample with excess IL as well as for the IL@ MOF-pellet samples decreases when increasing the pore filling from 80 to 100%. For the IL@SURMOF sample where the excess IL is removed, a different concentration dependence is observed. There, the conductivity decreases monotonically with increasing IL pore filling. This concentration dependence of the conductivity is in very good agreement with molecular dynamics simulations of the conduction of [BMIM][TFSI] IL in HKUST-1 [22].
By comparing the absolute values of the determined conductivity, at low loadings, the conductivity of the SURMOF sample with and without rinsing the surface is very similar, indicating that there is only a small amount of excess IL on the surface. With nominal increasing IL loading in the pores, the discrepancy becomes larger. We believe that this is caused by the increasing amount of excess IL on the  [9]. For comparison, the IRRA spectra of the sample loaded with 100% IL, 50% IL (i.e., IL-ACN 1:1) and of the empty MOF film are shown in Figure S2 surface. For the IL@MOF-pellet, the increasing conductivity is caused by the increasing amount of excess IL between the MOF crystals in the pellet, also termed "nanowetted interfaces" [15].
Based on this, we conclude that the IL@MOF film where excess IL is removed allows us to determine the intrinsic conductivity of the IL@MOF-material. On the other hand, the IL@MOF films without removing excess IL as well as the pellet samples show apparent conductivities which are larger than the intrinsic conductivity, caused by the additional highly mobile excess IL. It should be noted that the divergence between the conductivities determined with the different approaches is approximately a factor 5 for small loading and a factor of 250 at maximum loading.

Conclusions
In conclusion, three methods of measuring the conductivity of IL@MOF material are compared. Different concentrations of [BMIM][TFSI] were loaded into HKUST-1 MOF films and MOF pellets via a solution impregnation method or homogeneous mixing and heating. X-ray diffraction form factor changes indicate the successful loading in the MOF pores. Contact angle measurements show that IL is present on the MOF surface upon IL loading. Moreover, the contact angle measurements show that the excess IL can be removed from the outer SURMOF surface by briefly rinsing. For determining the ionic conductivity in MOFs via impedance spectroscopy, the three approaches, that is, pellets of IL-loaded MOFs and ILloaded MOF films without and with surface cleaning upon loading, are compared, showing substantially different results. While the excess IL on the external MOF surface results in apparent large conductivities for the pellets and thin films without surface cleaning, the conductivity of the IL-loaded MOF film with removed excess IL allows us to determine the intrinsic conductivity of the IL under the MOF confinement.
We believe the method can also be applied to most MOF films made in many different ways [24], not just made via layer-by-layer syntheses, provided that the material is bound to a substrate and the surface can be rinsed. Due to the negligible small vapor pressure of ionic liquids, excess IL does not evaporate as common solvents. We foresee that the improvement of the experimental exploration of the conduction of IL in nanoporous MOFs contributes to a better understanding and enhanced performance of various electrolytes in nanoporous confinement, as applied in batteries and supercapacitors. Fig. 4 a Sketch of contact angle measurement on the pristine MOF film and on the IL@MOF film before and after rinsing off the excess IL. b Contact angle measurements with deionized water on a pristine HKUST-1 SURMOF film (left), IL-loaded-SURMOF without rinsing (center) and after rinsing (right). The determined contact angles are shown. c Contact angle measurements with diiodomethane for the pristine sample (left), IL-loaded without rinsing (center) and after rinsing (right). The contact angle measurements were repeated several times and the average values and standard deviations are shown in Table S1 Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http:// creat iveco mmons. org/ licen ses/ by/4. 0/.

Fig. 5
Nyquist plots of the impedance of the HKUST-1 SURMOF film a upon IL loading without rinsing the surface, i.e., IL@SURMOF with excess IL on the surface, and b upon IL loading after shortly rinsing the surface, i.e., IL@SURMOF without excess IL on the surface. c Nyquist plots of the impedance of the IL@MOF-pellets with different IL loadings. The degree of IL filling is given in the legends. Zoom-ins of the Nyquist plots are shown in the insets. The equivalent circuit for the analysis is pictured in panel (a). The frequency range is 0.5 Hz to 5 MHz for the SUR-MOF (a and b) and 100 Hz to 5 MHz for the MOF pellet (c)