Introduction

Since the 21st century, with the popularity and rapid development of wearable devices, providing sustainable thermal conversion energy for the wearable devices has become a hot research topic in the world1,2,3,4,5,6,7. Traditional semiconductor electronic thermoelectric devices are widely used in the thermal energy harvesting at medium and high temperature8,9. However, for the low-grade thermal energy harvesting (the heat source temperature <100 °C), especially in the field of self-functioning wearable thermoelectric devices, the lower thermal response voltage under per unit temperature of semiconductor thermoelectric devices and their rigid physical properties usually lead to the results that they are difficult to be applied flexibly. Emerging in 2010, a new type of ionic thermoelectric device based on the Soret effect can generate the voltage response of mV·K−1 in a limited temperature range, and also has low thermal conductivity and higher mechanical flexibility, so it has become one of the most competitive candidates to provide thermal conversion energy for wearable devices10,11,12,13,14.

In the typical polar aqueous solution, the Agar model based on the Born theory using standard ion transport heat (\(Q^{ \ast \underline O }\)) is often used to estimate the thermopower of inorganic electrolytes15,16,17. \(Q^{ \ast \underline O }\) is related to the interaction among the ions and that between ions and solvent molecules18. But, due to the hydration interaction of ions, the intrinsic Coulomb interaction between anions and cations is shielded, corresponding to thermopower <1 mV·K−1 19. Recent studies have shown that the rational application of ion-polymer interaction in ionic aqueous solutions is an effective way to achieve high-quality thermopower. Specifically, the efficient intercalation of sodium ions in oxidized cellulose nanochannels obtained the thermopowers as high as +24 mV·K−1 20. The gelatin matrix modulated with KCl-[K4Fe(CN)6/K3Fe(CN)6] as the ion provider proofed a huge positive thermopower of +17.0 mV·K−1 21. In the electronic and ionic mixed systems, bidirectionally tunable thermopowers of +16.2 and −18.2 mV·K−1 were recorded using poly(3,4-ethylene-dioxythiophene)-poly(styrene sulfonate) and HCl/CuCl2, respectively22,23. The physical core of this methods can be attributed to the contribution of the enhanced ion transport heat to the thermal response voltage. Because another contributing factor to the high \(Q^{ \ast \underline O }\) value is the widespread coordination/dipole interactions between ions and polymers.

However, it is worth noting that the complex chemical configuration of transition metal chlorides is easily overlooked when people explore the thermoelectric properties of polymer composite inorganic electrolyte aqueous solutions. Extensive molecular dynamics simulations have pointed to the existence of extensive and stable transition metal chloride complexes in the aqueous solutions24,25. Particularly impressive, some reports even showed that the complex [CuCl4]2− of Cu2+ and Cl had a weaker hydration interaction than that of Cu2+ (Fig. 1a)26. This endows [CuCl4]2− with a faster diffusion rate and a larger heat of ion transport in the aqueous solution, which is a key signal for the study of n-type ionic thermoelectric materials. Because the core of ionic thermoelectric performance lies in the differential ion transport heat between anions and cations. In addition, the application of transition metal-chloride complexes, for the thermoelectric Agar model of Born theory, this is also no longer only considering the coupling of a single ion to the thermal field. Furthermore, the high concentration of chloride environment is a favorable condition to promote the formation of [CuCl4]2−. But, in the field of ionic thermoelectrics, high-concentration electrolytes normally mean low-response thermopower. How to generate more [CuCl4]2− under limited electrolyte concentration is the central problem that we need to solve. Carboxylated cellulose is rich in oxygen-containing functional groups and COO ions, and the affinity of Cu2+ to cellulose is a well-known phenomenon for dissolving cellulose and forming permanent Cu2+-cellulose coordination structures27,28,29. We guess that relying on the affinity between Cu2+ and carboxylated cellulose to achieve an enriched environment for chloride ions, further inducing more [CuCl4]2− formation, is more likely to be the solution to the problem (Fig. 1b). In a word, we speculate that synthetic [CuCl4]2− induced by carboxylated cellulose in CuCl2 aqueous solution may have a higher ion transport heat than Cu2+, thereby achieving high-quality n-type ionic thermoelectric performance.

Fig. 1: Design principle for copper-coordinated cellulose ionic conductors.
figure 1

a Chemical configuration of hydrated ions (Cu2+, Cl and [CuCl4]2−). b Synthesis of [CuCl4]2− enhanced by carboxylated cellulose in CuCl2 aqueous solution. Photo credit: Bin Chen, Department of Electrical and Electronic Engineering, Southern University of Science and Technology.

In this research, we explored the synthetic strategy of polymer-enhanced transition metal chloride complexes ([CuCl4]2−). This strategy was based on the coordinative coupling between Cu2+ and carboxylated cellulose polymer segments, which facilitated the generation of [CuCl4]2− and the selective thermal diffusion of anions. We first dissolved the CuCl2 electrolyte in a polyethylene glycol (PEO20K) aqueous solution. Then, the CuCl2-PEO aqueous solution was fully penetrated into the PVA-carboxylated cellulose dry film. The synergistic coordination of PEO with high Gutmann donor number and polyanionic electrolyte cellulose to Cu2+ successfully achieves a huge negative thermoelectric potential (−26.25 mV·K−1) and higher ionic conductivity (8.47 mS·cm−1) as an ionic conductor. We envision this ion-selective cellulose membrane for a range of potential applications, including the design of ultrasensitive ion thermopiles and low-grade thermal energy harvesting.

Results and discussion

Material characterization

We chose PEO and carboxylated cellulose to jointly enhance the coordination interaction between Cu2+ and polymer. Although, molecular dynamics simulations of solid-state electrolytes have pointed out that Lewis basic polymers (PEO) have stronger coordination interactions with cationic groups30. But it seems more reasonable to use Gutmann donor rule to initially analyze the interaction between PEO and Cu2+ in aqueous solution31. The monomer chemical structure of PEO can be regarded as a composite configuration composed of Ethanediol (DN = 20.0 kcal·mol−1), Diethylether (DN = 19.2 kcal·mol−1) and 1,2-Dimethoxyethane (DN = 24.0 kcal·mol−1) (Fig. 2a)32,33. The Gutmann DN of PEO monomer is about 19.2–24 kcal·mol−1, while the Gutmann DN of H2O is 18.0 kcal·mol−1. Clearly, Cu2+ tends to have a stronger coordination interaction with PEO. The coordination interaction of cellulose-Cu2+ depends on the charge density of cellulose, that is, the degree of carboxylation (-COO). Utilizing freeze-drying technology, our prepared PVA-carboxylated cellulose dry film has large-area production and flexible operability. Finally, we constructed the thermoelectric ionic conductors by infiltrating PVA-cellulosic membranes with CuCl2-PEO-based polymer aqueous electrolytes and applying a temperature difference across the membranes.

Fig. 2: Characterization of the PVA-cellulosic membrane.
figure 2

a PEO-Cu2+ coordination interaction based on Gutmann’s donor rule in aqueous solution. b Zeta potential of the cellulose aqueous solution. c Hydrodynamic radius of diluted CuCl2-cellulose and CuCl2-PEO aqueous solutions. d Raman peak of the PVA-cellulosic membrane. The inset was the SEM image of the PVA-cellulosic membrane. e High-resolution Cu 2p photoelectron spectra of the CuCl2 - [PVA-cellulosic membrane].

The huge ratio of hydroxyl and carboxyl groups on the cellulose molecular chain endows it with negative charges, which can be confirmed by the zeta potential of -22 mV in cellulose aqueous solution (Fig. 2b)34. Using dynamic light scattering (DLS) to measure the hydrodynamic radius (Rh) of diluted cellulose and PEO aqueous solutions35, we determined the strength of the coordination interaction between Cu2+ with PEO and cellulose, respectively (Fig. 2c). Nanoparticles with a particle size of 500 nm in both CuCl2-PEO and CuCl2-cellulose increased in size to large agglomerates as the Cu2+ concentration increased. Moreover, the coordination interaction between Cu2+ and negatively charged cellulose is significantly stronger. Considering the low solid content and high viscosity of cellulosic aqueous solutions, it was necessary to prepare the porous PVA-cellulose dry templates (2 mm-thick) by freeze-drying in the design of the synergistically enhanced Cu2+ coordination by PEO and cellulose. In addition, the Coulomb repulsive force between COO functional groups in the cellulose chain is also the main consideration for using PVA as a cellulose gel matrix. Specifically, Raman spectroscopy was used to analyze the crystallinity of the PVA gel matrix in the cellulose dry film (Fig. 2d)36,37. 1142 cm−1 is the fingerprint peak of PVA crystallinity. It is the C-C stretching vibration peak related to the C-O stretching vibration, that is, the symmetrical stretching vibration peak of O-C-C. Moreover, the pore size of the PVA-cellulosic membrane was about 10–20 μm (inset of Fig. 2d and Supplementary Fig. 1). This provided the necessary conditions for the penetration of the CuCl2-PEO aqueous solution. From the X-ray photoelectron spectroscopy (XPS) for PVA-cellulosic membrane, two Cu 2p standard reference peaks were observed at 932.7 eV (2p3/2) and 953.0 eV (2p1/2) (Fig. 2e)23,28. The Cu 2p spectrum also showed characteristic shake-up satellites peaks. The electron binding energies of Cu 2p core levels were all slightly lower than their reference values, which was mainly due to the coordination of oxygen atoms on -OH/COO- (Cellulose) with metal ions (Cu2+), resulting in the electron cloud density of metal ions increasing, the shielding effect was enhanced, and the electron binding energy at the core level decreased. Meanwhile, the coordination interaction between PEO and Cu2+ can also cause the movement of Cu 2p peaks to the short wavelength direction (Cu2+ 2p3/2 = 932.680 eV; Cu2+ 2p1/2 = 952.456 eV) (Supplementary Fig. 2). But its movement amplitude was significantly weaker than that of PVA-cellulosic membrane (Cu2+ 2p3/2 = 932.044 eV; Cu2+ 2p1/2 = 952.014 eV). This proved that the PVA-cellulosic membrane played a major role in the synergistic coordination of Cu2+ by the PVA-cellulosic membrane and PEO.

The color of Cu2+ in aqueous solution is blue and the color of [CuCl4]2− is yellow, so the color of the mixed solution of Cu2+ and [CuCl4]2− should be green. The distinct green color existed at the bottom of the unstirred aqueous CuCl2 solution, which was the most direct experimental evidence for the presence of [CuCl4]2− in the aqueous solutions (Supplementary Fig. 3a). Although, after being fully stirred, the color of the CuCl2 aqueous solutions completely changed to blue (Fig. 3a). In particular, after adding PEO to the blue CuCl2 aqueous solutions with different concentrations, the re-emergence of green color and the gradual deepening of the color can be clearly observed. This was consistent with our original experimental design. In other words, the coordination interaction between PEO and carboxylated cellulose with Cu2+ promoted the transformation of independent Cu2+ and Cl thermal motions into mobile [CuCl4]2−. We also performed colorimetric experiments on the thermal response behavior of CuCl2 aqueous solution and CuCl2-PEO aqueous solution. The experimental results showed that the increase of temperature facilitated the synthesis of [CuCl4]2− and this behavior was reversible. This thermally responsive behavior, that we called ‘thermosensitive coordination’, which synthesized the thermosensitive [CuCl4]2−-coordination ions at the hot end as the temperature increased38. The dynamic synthesis of [CuCl4]2− led to an increase in the anion concentration at the hot end, accompanied by the diffusion of [CuCl4]2− towards the cold end caused by the concentration difference at the same time. This had a certain promoting effect on the thermoelectric potential of n-type ions.

Fig. 3: Preparation process and thermoelectric properties of the PVA-cellulosic membrane.
figure 3

a Reversible transformation of thermosensitive coordination ion [CuCl4]2− under the temperature gradient and the synthesis of [CuCl4]2− enhanced by PEO-Cu2+ coordination interaction. b Preparation of polymer electrolytes and infiltration of PVA-cellulosic membranes. c Measured thermopowers of CuCl2 aqueous solution (0.4 mol/L), CuCl2-PEO aqueous solution and PVA-cellulosic membrane infiltrated with PEO aqueous solution of CuCl2. d Measured thermopowers of PVA-cellulosic membranes infiltrated with PEO aqueous solution of different inorganic electrolyte (NaOH, NaCl, MgCl2, AlCl3, CaCl2, FeCl3, CuCl2, CoCl2 and ZnCl2).

To demonstrate the transport concept of [CuCl4]2− anions in the dielectric, we examined its thermoresponsive voltage at different temperature gradients to obtain the thermopower of cellulose ionic conductor. The polymer dielectric used to infiltrate the PVA-cellulosic membrane was prepared from the same concentrations of PEO (35 wt%), deionized water (65 wt%) and 0.4 mol/L CuCl2 (Fig. 3b). The use of inert Pt electrodes to prevent interfacial reactions and monitoring the temperature of both the hot and cold sides simultaneously allowed us to evaluate the response voltage due to the ion redistribution in the dielectric (Supplementary Figs. 4 and 5). First, we tested the thermopower of the classical NaOH-PEO electrolyte infiltrated PVA-cellulosic membrane. It exhibited a thermopower of +12.389 mV·K−1 (Supplementary Fig. 6a), which was consistent with the literature report20. Next, the theoretical thermopower of CuCl2 aqueous solution estimated by the Agar model based on Born theory was 0.153 mV·K−1 (Supplementary Table 1). But our practical measured value was −0.720 mV·K−1 (Supplementary Fig. 7). Referring to the theoretical thermopower (0.0506 mV·K−1) and the measured value (0.259 mV·K−1) of NaCl aqueous solution (Supplementary Table 1 and Supplementary Fig. 6b), we had the reason to believe that the presence of [CuCl4]2− in the CuCl2 aqueous solution contributed to the thermopower exceeding the coupling of independent Cu2+ and Cl with the thermal field. And the Cl adsorption characteristic contributed by the work function of the Pt electrode was likely to enhance the measured value of NaCl aqueous solution39,40. Furthermore, the CuCl2-PEO aqueous solution and the polymer-infiltrated PVA-cellulosic membrane exhibited thermopowers of −4.617 mV·K−1 and −19.305 mV·K−1 (Fig. 3c), respectively. This reflected the dominant role of the strong coordination interaction between CuCl2 and the PVA-cellulosic membrane in the thermally generated voltage. The thermopower measurement of polymer-infiltrated pure PVA membrane (−5.243 mV·K−1) more fully reflected that PVA in the sample mainly played the role of mechanical support, while the thermoelectric functional matrix was realized by carboxylated cellulose (Supplementary Fig. 8). In sharp contrast, the thermopower of the PVA-cellulosic membrane infiltrated by the NaCl-PEO electrolyte was 9.975 mV·K−1 (Supplementary Fig. 6c), and the coordination configuration of Na+ and Cl did not exist in the NaCl solution.

On the other hand, the comparative analysis of the thermoelectric properties for PVA-cellulosic membrane (without COO group) and PVA-carboxylated cellulosic membrane is undoubtedly important to prove the role of the coordination effect between COO group and Cu2+. The test results showed that the thermopower of the PVA-cellulosic membrane (without COO group) was −9.953 mV·K−1, and the corresponding Zeta potential of the uncarboxylated cellulose aqueous solution was −2.98 mV (Supplementary Fig. 9). Compared with the thermopower (−19.305 mV·K−1) and Zeta potential (−22 mV) of the PVA-carboxylated cellulosic membrane, the strong coordination effect between the COO- group and Cu2+ was obviously the key factor to improve the thermoelectric performance of the samples. Particularly, in order to clarify the respective contributions of PEO and cellulose to the thermopower in PVA-cellulosic membrane infiltrated with PEO aqueous solution of CuCl2, we have also weighth the mass of PVA-cellulosic membrane before and after infiltration by CuCl2-PEO aqueous solution. This was mainly to determine the mass distribution of PVA-cellulosic membrane, PEO and CuCl2 aqueous solution, and then drop the corresponding proportion of CuCl2 aqueous solution into the cellulose membrane to obtain the independent thermopower of CuCl2-[PVA-cellulosic membrane]. The measurement results showed that the PVA-cellulosic membrane infiltrated with PEO aqueous solution of CuCl2 contained 17.91 wt% of PVA-cellulosic membrane, 28.73 wt% of PEO and 53.36 wt% of CuCl2 aqueous solution (Supplementary Fig. 10). Based on this, the thermopower of the tested CuCl2-[PVA-cellulosic membrane] was −12.667 mV·K−1. Referring to the thermopower of the corresponding CuCl2-PEO aqueous solution (−4.617 mV·K−1), we can confirm that the contribution of PEO and PVA-cellulosic membrane to thermopower is 26.71% and 73.29%, respectively.

Obviously, the complex ions formed by metal ions and chloride ions are not unique to copper ions. We also tested the thermopowers of PVA-cellulosic membranes infiltrated with PEO and different inorganic electrolyte aqueous solution (Fig. 3d, Supplementary Figs. 11 and 12). Except for the PVA-cellulosic membrane infiltrated by the CuCl2 electrolyte, we were very surprised to find that all the PVA-cellulosic membrane infiltrated by the other electrolytes exhibited consistent positive thermopowers, which were in partial agreement with the agar model predicted by Born’s theory (Supplementary Table 1). The stable existence of metal ion chloride complexes [CaCl4]2− and [ZnCl4]2− similar to [CuCl4]2− in aqueous solution has been reported in some literatures20,21. This can be observed by Raman spectroscopy of aqueous ZnCl2 (Supplementary Fig. 13). However, PVA-cellulosic membranes infiltrated with electrolytes such as CaCl2 or ZnCl2 did not exhibit a negative thermoelectric potential induced by the higher ion transport heat of [CaCl4]2− or [ZnCl4]2− than Ca2+ or Zn2+. According to this phenomenon, we believe that the higher ion transport heat of [CuCl4]2− than Cu2+ in the PVA-cellulosic membrane infiltrated by CuCl2 electrolyte is the most important factor to realize the negative thermopower. The more [CuCl4]2− synthesis caused by the coordination of PEO or cellulose with Cu2+ is an effective means to further amplify the negative thermopower. At present, we have not been able to give a more precise means of proving the higher ion transport heat of [CuCl4]2− than Cu2+. However, the report about aqueous solutions of CuCl2, CaCl2 or ZnCl2 based on molecular dynamics simulations can indirectly supplement this point26. They pointed out that [CuCl4]2− had a larger diffusion coefficient than Cu2+, while the diffusion coefficient of [CaCl4]2− or [ZnCl4]2− was smaller than that of Ca2+ or Zn2+. Moreover, they also emphasized that the diffusion rate of metal ion chloride complexes was determined by their hydration structure. Because for symmetrical electrolyte systems (\(n_0^ + = n_0^ -\), [CuCl4]2− and Cu2+, [CaCl4]2− and Ca2+), the relationship between the thermopower and the mass diffusion coefficient can be effectively established21,41,42.

Ion transport and regulation

Exploring the copper ion inorganic electrolytes thermoelectric properties of non-chloride (Cu(NO3)2 and CuSO4) was helpful to further verify the concept of [CuCl4]2− anion transport in the CuCl2 aqueous solution. Both the PVA-cellulosic membranes infiltrated with PEO aqueous solution of Cu(NO3)2 and CuSO4 exhibited positive thermopowers (+4.091 and +2.848 mV·K−1) (Fig. 4a, Supplementary Figs. 14a and 15a). This was fundamentally different from the negative thermopower behavior of CuCl2 electrolytes. Compared to chloride inorganic electrolytes, this further illustrated that the negative thermoelectric behavior was neither caused by Cu2+ nor Cl alone, but the special properties of the composite product [CuCl4]2− constituted by Cu2+ and Cl. The interaction between Cu(NO3)2 or CuSO4 electrolyte and polyanion electrolyte type PVA-cellulosic membrane followed Manning’s counterion condensation theory (Supplementary Fig. 16)43. Particularly, under the temperature gradients, some of the Cu2+ tended to condense along the negatively charged cellulosic polymer chains and imposed frictional drags on the anions (NO3 or SO42−). Cu2+ that was not condensed on the cellulosic chains had a faster thermophoretic mobility than anions. From another point of view, Cu(NO3)2 or CuSO4 electrolyte allowed more Cu2+ and PEO/cellulose to form the coordinate structures, while CuCl2 electrolyte was accompanied by the partial conversion of Cu2+ to [CuCl4]2−. This resulted in Cu(NO3)2/CuSO4-cellulose having a larger hydrodynamic radius than CuCl2-cellulose (Fig. 4a inset and Supplementary Fig. 17a).

Fig. 4: Ion transport and regulation capabilities of PVA-cellulosic membranes.
figure 4

a Measured thermopowers of PVA-cellulosic membrane infiltrated with PEO aqueous solution of 0.4 mol/L Cu(NO3)2, CuSO4 and CuCl2. Hydrodynamic radius of Cu(NO3)2-cellulose, CuSO4-cellulose and CuCl2-cellulose aqueous solutions were shown in the inset. b The Raman peaks representing Cu2+ solvation configurations of saturated Cu(NO3)2, CuSO4 and CuCl2 aqueous solution. c) The fitted peaks of saturated CuCl2 aqueous solution. d High-resolution O 1 s photoelectron spectra of the Cu(NO3)2-[PVA-cellulosic membrane], CuSO4-[PVA-cellulosic membrane] and CuCl2-[PVA-cellulosic membrane]. e Thermopowers of PVA-cellulosic membranes infiltrated by the CuCl2-PEO aqueous solution of different CuCl2 concentration. f Thermopowers of the various i-TE materials (Supplementary Table 2). g The ionic conductivity of PVA-cellulosic membrane measured at different CuCl2 concentrations. h The constant current charge-discharge curves of the PVA-cellulosic membrane infiltrated with CuCl2-PEO aqueous solution.

The coordination configuration of Cu2+ and Cl can be easily confirmed by Raman spectroscopy of saturated CuCl2 aqueous solution in the range of 200–500 cm−1 24,44. Pure water had no peaks in this range. Existing in the spectras of all copper salts, the peak around 405 cm−1 was assigned to [Cu(H2O)x]2+ (Fig. 4b). Characteristic peaks at 290 and 245 cm−1 in CuCl2 aqueous solution were assigned to [Cu(H2O)xCl4]2− and [CuCl4]2− (Fig. 4c). In addition, we can also observed the presence of hydrated [CuCl4]2−--[Cu(H2O)xCl4]2− in the Raman spectrum of 0.4 mol/L CuCl2- [PVA-cellulosic membrane] (Supplementary Fig. 17b). XPS spectra further proved the existence of [CuCl4]2− (Fig. 4d). The XPS peak observed around 531.0 eV was attributed to the core level of O 1 s45. The synthesis of [CuCl4]2− led to a smaller increase in the core energy level of O 1 s, compared to the Cu(NO3)2 and CuSO4 electrolytes. This was consistent with the analysis of the hydrodynamic radius (Fig. 4a). It should be pointed out that the hydrolysis of Cu2+ may also contribute to part of the transient negative thermal response voltage. This can be more intuitively observed from the tests of Cu(NO3)2 and CuSO4 aqueous solutions (Supplementary Figs. 14b and 15b). To this end, we added 0.2 mol/L HCl to the CuCl2-PEO aqueous solution (pH ≈ 2.6) and infiltrated it into the PVA-cellulosic membrane, obtaining a comparable thermopower of −25.823 mV·K−1 (Supplementary Fig. 19). We also supplemented the thermally reversible color change of CuCl2-PEO aqueous solution. These evidences fully demonstrated the reproducibility of both the negative thermoresponsive voltage and the [CuCl4]2− reversible thermosensitive coordination phenomenon in thermoelectric material systems without the generation of permanent Cu(OH)2 precipitation.

Based on the special negative thermopower of the CuCl2 inorganic electrolyte, it is essential to further explore the thermoelectric properties of the similar halogen anion electrolyte CuBr2. Because the reference also pointed out that transition metal and bromide complexe [CuBr4]2− had similar properties to [CuCl4]2− 46. The test results showed that the PVA-cellulosic membranes infiltrated with PEO aqueous solution of CuBr2 had a negative thermopower similar to that of CuCl2 (Supplementary Fig. 20). Furthermore, CuBr2-PEO aqueous solution also exhibited the thermally reversible behaviour by heating and cooling processes at 65 °C and 25 °C. These evidencesn implied that the negative thermoelectric behavior was likely to have generality for halide anions, in Cu2+ inorganic electrolytes.

By adjusting the concentration of CuCl2, we further discussed the thermopower of PVA-cellulosic membrane infiltrated by the CuCl2-PEO aqueous solution. With the increase of CuCl2 concentration, the absolute thermopowers of the samples first increased and then decreased in the negative thermopower direction (Fig. 4e, Supplementary Figs. 21 and 22). The maximum thermopower was −26.250 mV·K−1 and it occurred at the CuCl2 concentration of 0.8 mol/L, which was one of the best n-type ionic thermoelectric materials under the same conditions (Fig. 4f and Supplementary Table 2). The increase of CuCl2 concentration promoted more Cu2+ coordination interaction with PEO or PVA-cellulosic membrane, and then formed a rich environment for chloride ions. It finally led to the synthesis of [CuCl4]2− with higher ion transport heat. But higher concentrations of CuCl2 (≥1.0 mol/L) will also inevitably led to the shielding of ion-polymer interactions by the salt ions, and the thermal mobilities of ions tended to converge to the CuCl2 aqueous solutions21,47.

The ionic conductivity measurements showed that the conductivity of the CuCl2-PEO aqueous solution was higher than that of the infiltrated PVA-cellulosic membrane (Fig. 4g and Supplementary Fig. 23). This can be attributed to the strong coordination binding of Cu2+ by the cellulosic membrane. Moreover, the ionic conductivity of the PVA-cellulosic membrane infiltrated with 0.8 mol/L CuCl2-PEO was 8.47 mS·cm−1, while the thermal conductivity was also as low as 0.466 W·m−1·K−1. These devices also exhibited a near-ideal rectangular shape in the typical cyclic voltammetry test curves and the symmetrical constant current charge-discharge curves, which represented purely capacitive behavior (Fig. 4h and Supplementary Fig. 24).

Ionic thermoelectric capacitors (i-TE)

Before evaluating the thermal charging behavior of ionic conductors, it must be stated that, in contrast to the electronic conductors, ions cannot pass through the electrode/electrolyte interface to external circuits10,20,22,23. The thermal charging behavior of ionic conductors is generally based on thermal diffusion capacitor theory. We sandwiched the PVA-cellulosic membrane infiltrated by PEO aqueous solution of 0.8 mol/L CuCl2 between two Pt electrodes and exposed to a temperature difference of 4.6 K. The charge-discharge behavior of PVA-cellulosic membrane can be divided into four stages (Fig. 5c). In the first stage, the i-TE device was exposed to a temperature gradient, which led to the accumulation of anions ([CuCl4]2−) on the cold side to generate a thermovoltage. The PVA-cellulosic membrane can achieve a stable thermal voltage of −121.464 mV during the charging stage in 30 min (Fig. 5a). In the second stage, when an external load resistor was connected to the i-TE device, the electrons and holes in the external circuit would spontaneously compensate for the voltage change caused by the thermal motion of the ions. The non-zero voltage drop of this stage was related to the electron leakage current, which can further lead to undesired self-discharge phenomena10. In addition, the discharge time gradually became longer as the external load resistance increased (Fig. 5b and Supplementary Fig. 25). In the third stage, when the external load resistance and temperature gradient were removed, the anions and cations accumulated on both sides of the electrodes returned to their original state. And because the external circuit was disconnected, the electrons remained on the electrodes and created a reverse voltage. During this process, there was usually a charge transfer between the PVA-cellulosic membrane and the electrodes. Therefore, the absolute thermoelectric potential increasing in the third stage was generally smaller than that in the first stage. In the fourth stage, when the external load was reconnected, the electrons gathered on the electrodes flowed out and the voltage on the external load dropped to zero.

Fig. 5: Thermoelectric properties of PVA-cellulosic membranes.
figure 5

a The typically full thermo-ionic charging and electronic discharging cycle curve of PVA-cellulosic membrane infiltrated with 0.8 mol/L CuCl2-PEO aqueous solution. b Voltage decay curves on the external load with different resistances connected to the i-TE during stage II. c Illustration of the working principles for ionic thermoelectric devices. d Output voltage of the PVA-cellulosic membrane under 5 repeated heating-cooling cycles at the temperature difference of 4.6 K. e The improved thermopower of modular i-TE device. Photo credit: Bin Chen, Department of Electrical and Electronic Engineering, Southern University of Science and Technology.

We also repeatedly obtained the thermal response voltage of the i-TE device for 5 thermal charging and cooling processes (Fig. 5d). This was important for the repeated use of thermoelectric capacitors. Finally, the application scenes of our designed i-TE devices were mainly oriented in the field of self-functioning wearable thermoelectric devices. Although, limited by the power of our temperature control system, we only characterized the thermal response behavior in the 4.6 K temperature range. At the room temperature of 27 °C, the temperature difference between the human body and the external environment is 3–8 K (Supplementary Fig. 26), and our i-TE device can be well used48. For example, through the assembly of five modular i-TE devices, it can be easily worn as an energy bracelet (Fig. 5e). Using the standardized thermoelectric test system, the wristband achieved a maximum thermopower of −127.827 mV·K−1.

In summary, we have demonstrated a giant negative thermoelectric property in the PVA-cellulosic membranes infiltrated by PEO aqueous solutions of CuCl2, which depends on copper-coordinated PEO and carboxylated cellulose. By optimizing the concentration of CuCl2, high thermopower ranging from −15.75 to −26.25 mV·K−1 was achieved. We proved the importance of the synthesized [CuCl4]2− complexes of Cu2+ and Cl in the n-type ionic thermoelectric material design. Moreover, the PVA-cellulosic membrane also has a higher ionic conductivity of 8.47 mS·cm−1 and a lower thermal conductivity of 0.466 W·m−1·K−1. This cellulosic membrane-based ionic conductor holds broad promise for large-scale energy harvesting, sustainable thermal conversion of energy, and wearable technology.

Methods

Materials

Carboxylated cellulose (4–10 nm in diameter, 200 nm in length), uncarboxylated cellulose (25 μm), PEO20K, polyvinyl alcohol PVA (molecular weight, 146,000 to 186,000; 98–99% hydrolyzed), Cu(NO3)2, CuSO4, CuCl2, CuBr2, NaCl, MgCl2, AlCl3, CaCl2, FeCl3, CoCl2, ZnCl2, NaOH and HCl were purchased from Shanghai Macklin Biochemical Technology Co., Ltd. Deionized water was purified using Milli-Q Direct 8 ultrapure water system (Millipore, Billerica, MA), with a minimum resistivity of 18.2 MΩ·cm. All chemicals were used without further purification.

Preparation of the PVA-cellulosic membrane

All of our PVA-cellulosic membranes were first synthesized from 1 wt% carboxylated cellulose and 5 wt% polyvinyl alcohol aqueous solution. The aqueous solution was heated and stirred in a water bath at 100 °C for 24 h. Then, the PVA-cellulose solution was defoamed and poured into a mold, frozen at −20 °C for 12 h, and thawed at 25 °C for 12 h to prepare a freeze-thawed PVA-cellulose hydrogel. Next, we washed the hydrogel by repeated soaking in the deionized water with changing the water every 30 min and for a total of 6 h. Finally, we frozen the deionized water-purified hydrogels in a refrigerator for 24 h and obtained the PVA-cellulosic membranes through a freeze-drying process of 3 days (FD-1A-50 + , BIOCOOL). Moreover, for the preparation of pure PVA membrane and PVA-cellulosic membrane (without COO- group), except replacing carboxylated cellulose with PVA or cellulose of the same quality, the other preparation processes refer to the preparation method of PVA-cellulosic membrane.

Infiltration of PVA-cellulosic membrane

The polymer aqueous solution of 35 wt% PEO (20 K) and 65 wt% deionized water were stirred until completely dissolved. Then added different concentrations of CuCl2 (0.2–1.0 mol/L, the CuCl2 concentration relative to deionized water) and stirred until the CuCl2 particles are completely dissolved. The PVA-cellulosic membrane was infiltrated in a container containing the prepared polymer electrolyte and placed the container into a vacuum infiltration chamber (50 KPa). Visible air bubbles can be seen in the liquid until the PVA-cellulose membrane was fully penetrated. Finally, the PVA-cellulosic membrane was taken out from the polymer electrolyte.

Fabrication of the i-TE module

A layer of dielectric elastomer (3M-VHB4905) was cut into a square plate with a square hole (the size of 8 × 8 × 2 mm) at the center using a laser cutter (UNIVERSAL), followed by laminating onto one layer Pt electrode. Then the PVA-cellulosic membrane infiltrated with polymer electrolyte was added into the square hole. Finally, we laminated another Pt electrode to the other side of the VHB tape. In addition, we also chose Ti foil as the current collector and encapsulated with polyimide tape on the outermost layers of the device.

Characterization of chemical properties

The hydrodynamic radius (Rh) and zeta potential of CuCl2 nanoparticles in suspension were measured using dynamic light scattering (DLS) spectra with a Malvern Zetasizer Nano ZS90. The instrument operated at a wavelength of 633 nm, a scattering angle of 173 and a temperature of 25 °C. The refractive index of the dispersant and the viscosity of water were taken to be 1.330 and 0.8872 cP, respectively. Then, 60 µl of an CuCl2-cellulose and CuCl2-PEO aqueous solutions were respectively mixed with 5 ml and 100 ml of deionized water for dilution. A supernatant solution was stabilized in a cuvette for 3 h. Error bars reflect the standard deviation from three identical measurements. X-ray photoelectron spectroscopy (XPS) analysis was conducted on a PHI 5000 Versaprobe II pectrometer. All the spectra were calibrated to the binding energy of the adventitious C1s peak at 284.8 eV. Raman spectroscopies for the aqueous electrolyte solution and PVA-cellulosic membrane were conducted on Horiba LabRAM HR Evolution microscope by using a 532 nm excitation laser.

Characterization of electrochemical properties

Rex DDS 11 A ionic conductivity meter was used to measure the ionic conductivity of polymer electrolyte aqueous solution and the PVA-cellulosic membrane infiltrated with CuCl2-PEO aqueous solution at 25 °C. The conductivity meter was equipped with a DJS-1C platinum black conductivity electrode (the electrode constant was 0.988). The cyclic voltammetry (CV) curves in the range of 0–0.2 V and the constant current charge-discharge curve were measured by an electrochemical workstation (Shanghai Chenhua Instrument Co. Ltd., CHI660E).

Thermal conductivity measurement

Laser flasher was widely used to measure the transient thermal conductivity of solid and liquid materials20. The formula for thermal conductivity measurement can be expressed as k = αρCp. Among them, k is thermal conductivity, α is thermal diffusivity, ρ is density and Cp is heat capacity. For the PVA-cellulosic membrane infiltrated with 0.8 mol/L CuCl2-PEO aqueous solution, the thermal diffusivity measured by the NETZSCH LFA 457 MicroFlash™ laser thermal conductivity meter was 0.141 mm2·s−1. The density of PVA-cellulosic membrane was 2.25 g·cm−3. And the heat capacity measured by the differential scanning calorimeter (NETZSCH-DSC204F1 Phoenix) was 1.47 J·g−1·K−1. We thus calculated the thermal conductivity to be 0.466 W·m−1·K−1.

Characterization of thermopower

The thermopower and temperature gradient (1.5, 3.1 and 4.6 K) was determined from a homemade setup using an Keithley 2400 voltmeter, and the TEC temperature control module TCM-X107 purchased from China’s Sichuan Yexian Technology, respectively. The temperature sensitivity of the temperature control module was 0.002 °C. For the general measurement, two Peltier devices attached to an aluminum heat sink linked by a thermal paste were used to generate the temperature gradient. In addition, we further used ultra-fine K-type thermocouples for the second temperature calibration to ensure the authenticity and accuracy of the temperature.

Theoretical calculation of thermopower

Theoretical calculation of thermopower for the salt ion in dilute aqueous solution was according to the Agar model based on the Born theory15,16,17. Thermal diffusion of ions under a temperature gradient creates an ionic charge gradient, which results in a potential gradient. The thermally induced ion flow for each moving ion can be expressed as:

$$J_ \pm = - D_ \pm \left( {\nabla n_ \pm + 2n_ \pm \alpha _ \pm \frac{{\nabla T}}{T} \mp n_ \pm \frac{{eE}}{{k_BT}}} \right)$$
(1)

J± is the thermally induced ion current by per mobile ion; D± is the ionic self-diffusion coefficient; n± is ion density.

Assuming steady-state conditions (J± = 0) and zero net charge conditions (n+n = 0) in an electrolyte containing positive and negative ions, the thermopower (S) of thermal diffusion of ions can be expressed as:

$$S = \left( {\alpha _ + - \alpha _ - } \right)\left( {k_B/e} \right)$$
(2)

where α is the Soret coefficient of the ionic specie in the dilute aqueous solution, kB is the Boltzmann constant (1.380649 × 10–23 J·K−1) and e is the electron charge (1.602176634 × 10–19 C = 1.602176634 × 10–19 J·V−1).

According to the agar Agar model, the ionic Soret coefficient can be calculated by the following formula:

$$\alpha = \frac{{Q^ \ast }}{{2k_BT}} = Q^{ \ast \underline O }N_A/\left( {2k_BT} \right) = Q^{ \ast \underline O }/\left( {2RT} \right)$$
(3)

\(Q^{ \ast \underline O }\) is the standard single ion transport heat14,17, R is the ideal gas constant (8.314 J·mol−1·K−1), NA is the Avogadro number (6.02 × 1023 mol−1) and T is the actual calculated temperature (300 K).