Open Access Article
Shoya Satoa and
Yutaka Moritomo
*abc
aGraduate School of Pure & Applied Science, University of Tsukuba, Tennodai 1-1-1, Tsukuba, Ibaraki 305-8571, Japan. E-mail: moritomo.yutaka.gf@u.tsukuba.ac.jp
bFaculty of Pure & Applied Science, University of Tsukuba, Tennodai 1-1-1, Tsukuba, Ibaraki 305-8571, Japan
cTsukuba Research Center for Energy Materials Science (TREMS), University of Tsukuba, Tsukuba, Ibaraki 305-8571, Japan
First published on 10th April 2026
Recently, it has been reported that electrolytes containing gelatin or other substances cause an enhanced temperature coefficient (α) of the electrode potential E in thermoelectric devices. Here, we investigated the effect of gelatin on E. We found that only the contact with gelatin in electrolytes significantly reduces E by several hundred millivolts. Through systematic experiments with various electrolytes, we ascribed the reduction in E to the positive surface charge of gelatin.
The additives, such as gelatin and polyvinyl alcohol (PVA), in the electrolyte significantly enhance α, i.e., the temperature coefficient of E. Then, do these additives affect the absolute value of E? Generally, E is governed by the redox potential of the redox pair contained in the electrolyte. Does this also hold true for electrolytes containing additives? If the additive contributes to a shift in E, the finding could lead to a new method that generates electromotive force independent of ΔT. It would contribute to a new device that generates electric energy even though it is not a thermoelectric one. Actually, in the present investigation, we observed a potential difference V between the additive-coated and non-coated electrodes at the same electrode temperature.
In general, particles dispersed in an electrolyte have surface charge that is strongly dependent on pH. This is because the functional groups at the surface can adsorb/desorb ions, such as H+. The surface charge tends to be positive in acidic solutions (low pH) and negative in alkaline solutions (high pH). In an electrolyte, the surface charge is screened by the electric double layer, and hence, the electric potential decreases with distance r from the surface. In particular, the potential (ζ) at the slip surface of the particle is usually called the ζ potential. ζ is an important physical quantity that governs the degree of particle dispersion and aggregation. From the perspective of the ζ potential, polymers are classified into four types: amphoteric, cationic, nonionic, and anionic. Among them, amphoteric polymers have both cationic and anionic groups within a single molecule. ζ varies greatly from positive to negative, or even neutral (isoelectric point), depending on the pH. Gelatin is an amphoteric polymer and shows a high ζ value (≈15 mV at pH ∼ 3 [ref. 12]). On the other hand, nonionic polymers have no dissociable groups, and the ζ value is very low. PVA is a nonionic polymer, whose |ζ| value (≤2 mV at pH ≤ 8 [ref. 13]) is very low. From this perspective, we chose the amphoteric gelatin and nonionic PVA as additives to be studied.
In this paper, we investigated the additive effect on E. We coated one of the two identical electrodes with an additive and measured the potential difference V in the electrolyte at the same electrode temperature. We observed a negative V (−0.52 V) with the gelatin-coated electrode in an aqueous electrolyte containing 0.1 mol L−1 Fe(ClO4)2/Fe(ClO4)3. Based on systematic experiments with various electrolytes, we ascribed the negative V to the positive surface charge of gelatin.
:
water = 20
:
3 in weight ratio) or that of water and PVA (PVA
:
water = 1
:
3) was applied to the electrode and allowed to dry thoroughly in air. The coating thickness tco was ∼30 µm unless otherwise specified. The temperatures of both electrodes were fixed at room temperature (≈20 °C). Then, the potential difference V between the coated and uncoated electrodes corresponds to the potential shift induced by gelatin or PVA. The gelatin was purchased from FUJIFILM Wako Corp. and used as received. The viscosity, pH, and jelly strength are 4.6 mPa s, 5.6 (50 g L−1, 35 °C), and 260 g cm−2, respectively. The PVA (CAS: 9002-89-5) was purchased from MP Biomedicals and used as received. The viscosity and molecular weight are 5 mPa s and ∼22
000, respectively.
We evaluated the ζ potential of gelatin at pH = 3 and 23 °C with the use of a ζ-potential meter (ZV-3000; Kyowa Co., Ltd). The gelatin powder was added to distilled water, and the pH was adjusted to 3 with 1.0 mol L−1 HCl. The mobility U of the gelatin particles was evaluated by tracking the movements of 1000 particles under an applied voltage. ζ (23.3 mV) was evaluated using Smoluchowski’s equation,
, where ν = 1.00 mPa s and ε = 77.6ε0 (where ε0 is the dielectric constant of vacuum) are the viscosity and dielectric constant, respectively. The positive ζ at pH = 3 is consistent with the literature.12
The electrolyte was an aqueous solution in which the concentrations of Fe(ClO4)2/Fe(ClO4)3, K4[Fe(CN)6]/K3[Fe(CN)6], NaClO4, and NaCl, were systematically varied. The solutes were purchased from FUJIFILM Wako Corp. and used as received. All electrolytes contained a redox pair, i.e., Fe(ClO4)2/Fe(ClO4)3 or K4[Fe(CN)6]/K3[Fe(CN)6]. The concentrations of the two solutes of the redox pair, e.g., Fe(ClO4)2 and Fe(ClO4)3, were set to the same value. The redox pairs were selected because they are the most prototypical ones in thermoelectric devices.11 In addition, they exhibit high electric conductivity and high stability.
; where Y0 and n are frequency-independent constants while ω is the angular velocity), and Warburg impedance (
; where AW is the Warburg coefficient). Q becomes pure capacitance when n = 1.
To explore the origin of the negative V induced by gelatin, we investigated V for various electrolytes. Fig. 2 shows V between the gelatin-coated and uncoated GS electrodes against t. In the electrolyte containing only Fe(ClO4)2/Fe(ClO4)3 (Fig. 2a), the initial potential difference V0 is −0.52 V at 0.1 mol L−1 and −0.60 V at 0.01 mol L−1. We note that the stability of V is much improved at 0.01 mol L−1. We investigated the effect of the gelatin coating thickness tco on V in 0.01 mol L−1 Fe(ClO4)2/Fe(ClO4)3. We found that V is almost independent of tco: V = −0.60 mV at tco = 30 µm, −0.62 mV at 50 µm, and −0.68 mV at 128 µm. V was unstable for the gelatin-coated electrode with tco ≤ 10 µm. In the electrolyte containing x mol L−1 Fe(ClO4)2/Fe(ClO4)3 and 0.1 mol L−1 NaClO4 (Fig. 2b), a curious concentration dependence was observed. With decreasing x, V0 increased from −0.32 V at 0.05 mol L−1 to 0.71 V at 0.005 mol L−1. With a further decrease of x, however, V0 was steeply suppressed to −0.19 V at 0.001 mol L−1 and −0.15 V at 0.0001 mol L−1. A similar concentration dependence of V0 was observed in the electrolyte containing x mol L−1 Fe(ClO4)2/Fe(ClO4)3 and 0.1 mol L−1 NaCl (Fig. 2c). With decreasing x, V0 enhanced from −0.49 V at 0.05 mol L−1 to −0.80 V at 0.01 mol L−1. With a further decrease of x, V0 was suppressed to −0.46 V at 0.005 mol L−1. In the electrolyte containing x mol L−1 K4[Fe(CN)6]/K3[Fe(CN)6] and 0.1 mol L−1 NaClO4 (Fig. 2d), V0 was small at both 0.01 mol L−1 and 0.001 mol L−1.
Here, let us discuss the curious x-dependence observed in (Fig. 2c) and (Fig. 2d). As discussed in the following subsections, V0 is negatively correlated with pH, while the relaxation time of V is negatively correlated with x. On the low-x side, V0 decreases with decreasing x. The decrease is ascribed to the enhanced pH at smaller x. On the high-x side, V0 decreases with increasing x. This decrease is perhaps related to the reduced relaxation time. The measurement of V begins ∼30 seconds after the electrolyte injection. If the relaxation time is less than several tens of seconds, V0 is apparently evaluated as being smaller.
; where mi and zi are the concentration and formal charge of the i-th ion, respectively). The pH of the electrolyte significantly depends on the solute type and concentration because Fe(ClO4)2/Fe(ClO4)3 is strongly acidic, while the other solutes are neutral. On the other hand, I is mainly governed by the concentration of ionic species with large formal charges, i.e., Fe2+ and Fe3+. Therefore, I shows a positive correlation with x.
Fig. 3 shows V0 against (a) pH, (b) x, and (c) I. We found that the pH–V0 plot shows a unified curve (Fig. 3a), in sharp contrast to the scattered x–V0 (Fig. 3b) and I–V0 (Fig. 3c) plots. With increasing pH, V0 steeply decreases from −0.8 V to −0.2 at pH ∼ 2, and then gradually decreases to 0 V at ∼6. Importantly, high V0 values are observed in the low pH region irrespective of x and I. The small V0 values observed in the electrolytes containing K4[Fe(CN)6]/K3[Fe(CN)6] can be associated with their high pH. We note that the x–V0 (Fig. 3b) and I–V0 (Fig. 3c) plots are roughly similar, because I shows a positive correlation with x.
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| Fig. 3 Initial potential difference V0 against (a) pH, (b) Fe(ClO4)2/Fe(ClO4)3 concentration x, and (c) ionic strength I. Red (blue) means that the redox pair is Fe(ClO4)2/Fe(ClO4)3 (K4[Fe(CN)6]/K3[Fe(CN)6]). Squares and triangles mean that the electrolyte contains 0.1 mol L−1 NaClO4 and 0.1 mol L−1 NaCl, respectively. The closed circles in (a) represent −ζ of alkali-processed gelatin.12 | ||
The closed circles in Fig. 3a represent −ζ of alkali-processed gelatin.12 We note that, in the range of 2 ≤ pH ≤ 6, the pH dependence of V0 resembles that of −ζ. Using the data for pH ≤ 2, the correlation coefficient ρ between V0 and ζ was determined to be −0.79. The ζ value corresponding to each V0 value was estimated by interpolation. This similarity strongly suggests that V0 originates from the surface charge of gelatin, which is positive in the region of pH ≤ 5.
Unlike the ζ potential, the η potential originates from the shielding by free electrons in the metal. Then, the electrons with the same density as the surface charge density can accumulate at the gelatin/metal interface. This high density of electrons at the interface is the origin of the high η. Note that the ζ potential, which is the potential at the slip surface, is much smaller than the surface potential. Therefore, |η| can be much larger than |ζ|.
In addition to the surface charge of gelatin, several factors may contribute to the shift in E. For example, if solute ions are adsorbed by gelatin, they can contribute to the surface charge of the gelatin. With the use of a scanning electron microscope and energy-dispersive X-ray spectroscopy (SEM-EDX), we investigated the ionic species adsorbed onto gelatin. We found that a small amount of ClO4− and Fe ions is adsorbed onto gelatin, which may contribute to the shift in E. As discussed in the following subsection, the charge transfer rate at the gelatin/electrode interface is much faster than that at the GS/electrode interface. Thus, other possible factors are the local pH changes near the electrode surface and modification of the redox potential. The redox reaction of Fe ions (Fe3+ + e− ⇆ Fe2+) and hydroxide ions OH− can couple with each other, because Fe2+ and Fe3+ ions react with OH− to form precipitates of Fe(OH)2 and Fe(OH)3. The resultant pH change near the electrode surface may modify the ζ value of gelatin. In addition, the precipitation of iron hydroxides may modify the redox potential via a variation of the Fe2+/Fe3+ concentration.
Fig. 4 shows Nyquist plots of the complex impedance of (a) gelatin GS, (b) PVA GS, and (c) GS electrodes. The plot of GS (Fig. 4c) shows prototypical behavior, i.e., a semicircle on the left side and a straight line with an inclination of 45° on the right side. The resistances on the left and right sides of the semicircle correspond to Rs and Rs + Rct, respectively. A similar feature is observed in PVA GS (Fig. 4b). In the plot of gelatin GS (Fig. 4a), however, the corresponding semicircle structure is unclear, reflecting small Rct. The solid curves are the results of least-squares fits with a Randles equivalent circuit composed of Rs, Rct, Q and ZW. The observed features are well reproduced by the equivalent circuit.
Table 2 shows the obtained parameters. We found that Rct for the gelatin-coated GS (9.4 Ω) is much smaller than that for the uncoated GS electrode (60.1 Ω). This means that the charge transfer rate at the gelatin/electrolyte interface is much faster than that at the GS/electrolyte interface. In an actual gelatin-coated electrode, various interfaces such as gelatin/electrolyte, GS/electrolyte, and gelatin/GS coexist. The equivalent-circuit analysis suggests that the charge transfer reaction mainly occurs at the gelatin/electrolyte interface. In the picture of the η potential, the potential shift η occurs at the gelatin/GS interface and is constant within the GS region. Fortunately, η has little effect on the charge transfer reaction at the gelatin/electrolyte interface, because the interface is spatially separated from the GS region and is free from the potential shift.
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| Fig. 5 Relaxation time τ80 against (a) pH, (b) x, and (c) I. Squares and triangles indicate that the electrolyte contains 0.1 mol L−1 NaClO4 and 0.1 mol L−1 NaCl, respectively. | ||
As discussed in the previous subsection, the charge transfer reaction mainly takes place at the gelatin/electrolyte interface since Rct of the gelatin-coated GS is much smaller (9.4 Ω). Even in an equilibrium state where the oxidation and reduction reactions are balanced, a finite exchange current i0 flows to exchange electrons between the iron ions and gelatin. Thus, i0, which is proportional to x, is considered to be the origin of the relaxation of V0. i0 is expressed as
,15 where kB, T, and e (≥0) are the Boltzmann constant, temperature, and elementary charge, respectively. Keeping in mind that the two resistances are connected in series in the EIS measurement, i0 is calculated to be 5.4 mA at 293 K and 0.1 mol L−1. The exchange of electrons between the iron ions and gelatin is considered to promote the desorption of H+ from the gelatin surface. For example, the reduction reaction of Fe ions (Fe3+ + e− → Fe3+) may couple with the oxidation reaction of chemisorbed protons (H* → H+ + e−) or the desorption of H+. The larger i0 becomes, the faster the desorption occurs. The resultant reduction of the gelatin surface charge decreases |V0| with t.
We further investigated V under a constant faradaic current i as a function of t. Fig. 6a shows V with (solid curve) and without (broken curve) i against time t. s and d were 42 mm2 and 10 mm, respectively. The electrolyte was an aqueous solution containing 0.1 M NaClO4 and 0.01 M Fe(ClO4)2/Fe(ClO4)3. i was increased in steps of 5 µA. With an increase in i, V shows a step-like drop that follows the change in i. We further observe a continuous voltage drop with t, especially at high i. To quantitatively examine the temporal change of V, we further plotted in Fig. 6b the rate of change
of V against t. In each i region, p showed a steep peak followed by a gentle tail. In the nearly flat region of the tail, p increases with increasing i; p = 0.002 s−1 at i = 0 µA, 0.005 s−1 at 5 µA, 0.016 s−1 at 10 µA, 0.036 s−1 at 15 µA, and ∼0.09 s−1 at 20 µA. This observation indicates that V is also dependent on i. We note that i0 is much larger (530 µA at 0.01 mol L−1) than the i values examined (maximum 15 µA). Nevertheless, p due to i is much larger (p = 0.005–0.09 s−1) than that due to i0 (p = 0.002 s−1). In short, faradaic current reduces V more quickly than exchange current. When faradaic current flows, the potential shifts toward the oxidation (positive) side to promote the oxidation reaction of Fe ions (Fe2+ → Fe3+ + e−) at the gelatin/electrolyte interface. The potential shift also promotes the oxidation reaction of chemisorbed protons (H* → H+ + e−) or desorption of H+. The resultant reduction of the gelatin surface charge decreases |V0| with t.
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