Abstract
We report a new design strategy for enhancing the temperature sensitivity of molecular redox potentials that is based on a redox-induced change in the metal coordination number facilitated by an external ligand. The Cu complex bis(2,9-dimethyl-1,10-phenanthroline)copper(II) binds coordinating ligands, including MeCN, whereas the CuI analog remains tetracoordinate. Upon introduction of a stronger donor, 4-tert-butylpyridine ( t Bu-py), the MeCN ligand is displaced while retaining penta- and tetracoordination at the CuII and CuI centers, respectively. Variable-temperature electrochemical analysis reveals the temperature sensitivity of the apparent half-wave potential (E 1/2) of the CuII/CuI couple to increase from α = 1.70(6) mV °C–1 to α = 2.3(2) mV °C–1 upon addition of 15.0 equiv of t Bu-py to the MeCN-bound CuII complex in MeCN solution. Similar analysis starting with the CuI complex affords α = 2.6(2) mV °C–1 in the presence of t Bu-py, providing a record-high temperature sensitivity of E 1/2 of the CuII/CuI couple in MeCN solution.

Over the past decade, variable-temperature electrochemistry has emerged as a powerful technique to study the electro- and thermochemical properties of molecules and materials. These studies are attractive for electrocatalysis, − electrochemical sensing, − the design of thermoelectrochemical devices for waste heat harvesting − and electrochemical cooling, , and providing valuable thermodynamic parameters of electron-transfer reactions. − One key limitation for the implementation of compounds toward these applications is the lack of a complete understanding of the factors that dictate the temperature dependence of the electrochemical properties of molecules and materials. The temperature coefficient (α) of the formal potential (E 0′) is a critical parameter to consider when designing molecular compounds for targeted applications in electrochemistry, as it describes the change in a redox couple’s formal potential with respect to temperature and is linearly related to the redox reaction entropy (ΔS redox; eq ). ,,,
| 1 |
The impact of charge, ,, pH, , solvent and solvation environment, ,,,− spin state, ,,− and metal coordination environment ,,, on α for a series of molecular compounds has been reported. While these works have provided significant knowledge of structural and physical factors that influence α, further insights are needed to facilitate the design of compounds with optimal temperature coefficients for desired applications, such as large absolute temperature coefficients for effective heat-to-electricity conversions and electrochemical refrigeration.
Considering the linear correlation between ΔS redox and α (eq ), we envisioned that systems displaying large structural changes between redox states would afford large absolute temperature coefficients. One attractive system toward this end comprises a redox-active metal center that changes coordination number during the electron-transfer process, resulting in simultaneous changes in geometry and number of molecular components. As copper complexes are known to prefer hexa/pentacoordination and tetracoordination for the CuII and CuI redox states, respectively, , we postulated that a redox-induced change in copper coordination number could afford large ΔS redox. Herein, we demonstrate notable enhancement in the temperature sensitivity of E 1/2 of the CuII/CuI redox couple by leveraging the redox-induced change in the coordination number approach through the use of an external ligand (Scheme ), thereby providing a new design strategy toward increasing the temperature sensitivity of molecular redox potentials.
1. Overview of CuII/CuI Redox Processes with No Change in Copper Coordination Number (A) and with Change Involving a Solvent Molecule (B) or an External Ligand (C) As Discussed in This Work.

Copper complexes supported by 2,9-dimethyl-1,10-phenanthroline (Me2-phen) ligands were selected for these proof-of-concept studies, as they have previously been shown to favor pentacoordinate CuII and tetracoordinate CuI complexes. − The mononuclear complexes [Cu(Me2-phen)2(MeCN)](PF6)2 (1a·MeCN) and [Cu(Me2-phen)2](PF6) (1b) were synthesized as green and orange-red solids, respectively (Experimental Section, Scheme S1, Figure S1). , Slow diffusion of Et2O vapor into a concentrated MeCN solution of 1a·MeCN gave green block-shaped crystals of [Cu(Me2-phen)2(MeCN)](PF6)2·MeCN (1a′; Figures and S2, Table S1). Application of vacuum and/or heat to these crystals afforded a purple polycrystalline solid corresponding to the desolvated tetracoordinate CuII complex 1a. , This solvation–desolvation behavior is reversible. Slow evaporation of a CH2Cl2 solution of 1b afforded orange-red needle-shaped crystals matching the reported structure. The CuII center in 1a′ and CuI center in 1b reside in distorted square pyramidal and tetrahedral coordination environments, respectively, as indicated by τ5 and τ4 parameters of 0.19(2) and 0.71(1), respectively (Table S2). While these structural metrics suggest that a redox-induced change in copper coordination number could be realized in MeCN solutions of 1a and/or 1b (Scheme B), we postulated that employing an external ligand would be more effective due to greater structural changes and less transient interactions (Scheme C). ,, The external ligand 4-tert-butylpyridine ( t Bu-py) was selected, as it has been shown to replace MeCN in 1a·MeCN and display no coordination to the CuI center in 1b. , Reaction of 1a with t Bu-py in CH2Cl2 afforded [Cu(Me2-phen)2( t Bu-py)](PF6)2·CH2Cl2 (1a· t Bu-py). Slow diffusion of Et2O vapor into a concentrated CH2Cl2 solution of 1a· t Bu-py gave blue-green plate-shaped crystals (Figures and S3, Table S1). The CuII center in 1a· t Bu-py exhibits similar structural metrics to those in 1a′, albeit displaying closer to ideal square pyramidal geometry (τ5 = 0.039(2); Table S2). To provide a related coordinatively saturated hexacoordinate CuII complex for comparison to pentacoordinate 1a·MeCN and 1a· t Bu-py, the pseudo-octahedral [Cu(terpy)2](PF6)2 (2) was synthesized (Figure , Table S2). ,
1.
Crystal structures of the cationic complexes [Cu(Me2-phen)2(MeCN)]2+, [Cu(Me2-phen)2( t Bu-py)]2+, [Cu(Me2-phen)2]+, and [Cu(terpy)2]2+, as observed in 1a′, 1a· t Bu-py, 1b, and 2, respectively. Green, orange, blue, and gray spheres represent CuII, CuI, N, and C atoms, respectively; H atoms are omitted for clarity.
To investigate interactions between t Bu-py and copper complexes 1a, 1b, and 2, UV–visible–NIR spectrophotometric titrations were carried out in MeCN. The spectrum of 1a is unaffected by air exposure (Figure S4) but shows clear changes upon addition of 0.2–15.0 equiv of t Bu-py, with the d–d transition band ,, shift from 725 to 717 nm and increase in intensity (Figures and S5–S7). Insignificant spectral changes were observed upon further addition of up to 40.0 equiv of t Bu-py (Figures S5–S7), indicating complete exchange of MeCN for t Bu-py. , As t Bu-py does not absorb visible light (Figure S8), an effective K eq = 8(2) × 102 M–1 for the ligand-exchange reaction can be obtained from monitoring the absorbance at 725 nm (Experimental Section). This value aligns with prior studies and corroborates complete coordination of t Bu-py to 1a in the presence of 15.0 equiv of t Bu-py (Table S3). The UV–visible–NIR spectra of 1a· t Bu-py in the presence and absence of t Bu-py align with these results (Figures S9–S13). Notably, dissociation of Me2-phen (Figures S14 and S15) occurs with >100 equiv of t Bu-py, as the spectrum of [Cu( t Bu-py)4(MeCN)](PF6)2 (3), which was synthesized as violet-blue plates of [trans-Cu( t Bu-py)4(MeCN)2](PF6)2·Et2O·solvent (3′; Figures S16 and S17, Tables S1 and S4), shows similar features (Figures S18 and S19). , Similar analysis of MeCN solutions of 1b and 2 reveals no spectral changes (Figures , S20, and S21), supporting no interactions between t Bu-py and the CuI and CuII centers in 1b and 2, respectively.
2.
UV–visible–NIR spectra of 1a, 1b, and 2 in the presence of 0, 1.5, 3.0, and 15.0 equiv of t Bu-py collected at room temperature in MeCN.
In anticipation of variable-temperature electrochemical analysis, we first sought to investigate the influence of t Bu-py on the electrochemical properties of the copper complexes at room temperature (∼23 °C). The cyclic voltammograms (CVs) of 1a and 1b in MeCN containing 0.1 M ( n Bu4N)(PF6) supporting electrolyte exhibit a quasi-reversible CuII/CuI redox wave with E 1/2 = 0.382–0.384 V vs Ag/AgNO3 (Figures S22 and S23). Upon addition of t Bu-py to a MeCN solution of 1a, E 1/2 shifts negatively, reaching a value of 0.306 V vs Ag/AgNO3 in the presence of 15.0 equiv, and the voltammogram becomes less reversible (Figures , S24, and S25), likely owing to the slower rate of [Cu(Me2-phen)2( t Bu-py)]2+/[Cu(Me2-phen)2]+ reduction than [Cu(Me2-phen)2(MeCN)]2+/[Cu(Me2-phen)2]+. The CV of 1a· t Bu-py shows similar behavior to the CV of 1a in the presence of 1.0 equiv of t Bu-py (Figures S26–S28). Open-circuit potential (E OCP) analysis of an equimolar MeCN solution of 1a and 1b (here, E OCP ≈ E 1/2) shows similar changes in E OCP upon addition of t Bu-py (Figures S29 and S30). Complex 2 displays a quasi-reversible CuII/CuI redox wave with E 1/2 = −0.560 V vs Ag/AgNO3 that is minimally affected in the presence of low concentrations of t Bu-py but shifts slightly positively at higher concentrations (Figures S31–S34). In contrast, the CV of 3 shows a largely irreversible CuII/CuI redox wave (Figures S35 and S36). Together, room-temperature electrochemical analysis corroborates UV–visible–NIR analysis and underscores the feasibility of using t Bu-py as an external ligand to influence the redox behavior of 1a. The employment of 1.5–15.0 equiv of t Bu-py allows us to probe the impact of MeCN ligand displacement efficiency on α while retaining favorable quasi-reversible electrochemical behavior.
3.

Cyclic voltammograms of 3 mM 1a in the presence of 0, 1.5, 3.0, and 15.0 equiv of t Bu-py collected at room temperature in MeCN containing 0.1 M ( n Bu4N)(PF6) supporting electrolyte using a 100 mV s–1 scan rate.
To probe the impact of redox-induced change in metal coordination number on the electrochemical properties of copper complexes and gain insights into the influence of such a mechanism stemming from a solvent molecule vs an external ligand, variable-temperature cyclic voltammetry measurements were undertaken for MeCN solutions of copper complexes in the absence and presence of t Bu-py using an isothermal setup. The voltammograms collected in the temperature range 23–44 °C for 1a with 0, 1.5, 3.0, and 15.0 equiv of t Bu-py shift positively with increasing temperature (Figures and S37), consistent with cationic redox couples. ,,,,,− ,,− Temperature coefficients ranging from α = 1.70(6) mV °C–1 in the absence of t Bu-py to α = 2.3(2) mV °C–1 with 15.0 equiv of t Bu-py were obtained from plots of apparent half-wave potential vs temperature (Table , Figures S38–S41) and consideration of the temperature dependence of the Ag/AgNO3 reference electrode potential. ,,, Variable-temperature cyclic voltammetry analysis of 1a· t Bu-py aligns with these results of increasing α with an increasing amount of t Bu-py (Table , Figures S42–S45). In contrast, a similar analysis of 2 with 0, 3.0, and 15.0 equiv of t Bu-py provides temperature coefficients that fall within error of one another (Table , Figures S46–S51). We note that the temperature sensitivity of E 1/2 arises from a collection of processes that influence the geometric and electronic structure and/or solvation of the oxidized and/or reduced copper species ,,,, and is minimally affected by changes in molecular diffusion and solution viscosity, as similar room-temperature diffusion coefficients , were observed in the absence and presence of t Bu-py across all compounds (Figures S52–S71, Tables S5–S7). These results underscore the critical role that change in coordination number during electron-transfer reactions plays in boosting α. Furthermore, the similar temperature coefficients obtained for 1a and 2 in the absence of t Bu-py suggest that the use of an external ligand as opposed to a (de)coordinated solvent molecule is important for observing the enhancement, although influence from the different coordination at CuII in 1a and 2 cannot be ruled out. Statistically identical temperature coefficients were obtained for 1a and 1b (Figures S72 and S73) in the absence of t Bu-py, as well as for an equimolar solution with and without 15.0 equiv of t Bu-py assessed by variable-temperature E OCP analysis (Figures S74–S77), demonstrating reversible electrochemical behavior. The reversibility of the investigated CuII/CuI redox systems is further evident from the good agreement between E 1/2 of MeCN solutions before heating and after cooling back down (Figures S38–S41, S43, S47, S49, S51, S73, S75, and S77).
4.
Cyclic voltammograms of 3 mM 1a in the presence of 0, 3.0, and 15.0 equiv of t Bu-py collected at variable temperatures (∼23–44 °C) in MeCN containing 0.1 M ( n Bu4N)(PF6) supporting electrolyte using a 100 mV s–1 scan rate. Average temperature coefficients are displayed in teal.
1. Selected Electrochemical and Thermodynamic Parameters for Copper Complexes in MeCN Solutions .
| Compound | Equiv of t Bu-py | E 1/2 (V) | ΔE p (V) | α (mV °C–1) | ΔS redox (J K–1 mol–1) |
|---|---|---|---|---|---|
| 1a | 0 | 0.382 | 0.086 | 1.70(6) | 164(6) |
| 1.5 | 0.361 | 0.096 | 2.02(7) | 195(7) | |
| 3.0 | 0.347 | 0.096 | 2.15(7) | 207(7) | |
| 15.0 | 0.306 | 0.110 | 2.3(2) | 222(20) | |
| 1b | 0 | 0.384 | 0.093 | 1.80(6) | 174(6) |
| 1a· t Bu-py | 0 | 0.365 | 0.091 | 1.91(7) | 184(7) |
| 2 | 0 | –0.560 | 0.091 | 1.66(7) | 160(7) |
| 3.0 | –0.559 | 0.094 | 1.67(6) | 161(6) | |
| 15.0 | –0.550 | 0.103 | 1.6(1) | 154(10) |
Solutions contained 3 mM copper complex and 0.1 M ( n Bu4N)(PF6) supporting electrolyte.
Apparent half-wave potential vs Ag/AgNO3 at room temperature.
Difference in apparent anodic and cathodic peak potentials at room temperature.
Temperature coefficient calculated using eqs S9 and S10.
Redox reaction entropy calculated using eq .
The temperature coefficient and corresponding ΔS redox obtained for 1a in the presence of 15.0 equiv of t Bu-py are higher than values reported for other metal complexes with overall 2+/1+ charge-state change in homogeneous MeCN solution , and surmount CuII/Cu0 systems harnessing thermosensitive crystallization (Table S8). − Moreover, a MeCN solution of 1b with 15.0 equiv of t Bu-py provides (after CV cycling to a stable E 1/2) an even higher temperature coefficient of α = 2.6(2) mV °C–1 (Figures S78–S80), affording a record-high temperature sensitivity of E 1/2 of the CuII/CuI couple. The different results observed when starting from a solution containing predominantly CuII vs CuI species likely arise from influence of the CuII/CuI concentration ratio on α. −
The foregoing results demonstrate that the temperature sensitivity of metal-based redox potentials may be enhanced using a redox-induced change in the coordination number strategy when facilitated by an external ligand. Efforts are underway to extend this initial proof-of-concept investigation to other metal and ligand systems and understand the effect of the concentrations of individual redox species.
Supplementary Material
Acknowledgments
This research was funded by start-up funds from the University of Rochester. This work made use of the CENTC Elemental Analysis Facility at the University of Rochester, funded by the NSF through award CHE-0650456, the X-ray Crystallographic Facility of the Department of Chemistry at the University of Rochester, using an instrument purchased with funding from the NSF through MRI award CHE-1725028, and a JEOL NMR spectrometer acquired with support from the NSF through MRI award CHE-2215973. We thank B. Kneer, J. Pulido, C. Boivin, and S. Prescott for experimental assistance.
The Supporting Information is available free of charge at https://pubs.acs.org/doi/10.1021/jacs.5c21444.
Experimental details and additional characterization data, including NMR data, X-ray crystallographic data, UV–visible–NIR absorption spectra, and electrochemical data (PDF)
The authors declare no competing financial interest.
References
- De A., Dagar M., Kneer B., Kim J., Thorarinsdottir A. E.. Best Practices for Variable-Temperature Electrochemistry Experiments and Data Reporting. ACS Energy Lett. 2025;10(4):1542–1549. doi: 10.1021/acsenergylett.5c00308. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Petersen H. A., Miller E. N., Pham P. H., Kajal, Katsirubas J. L., Koltunski H. J., Luca O. R.. On the Temperature Sensitivity of Electrochemical Reaction Thermodynamics. ACS Phys. Chem. Au. 2023;3(3):241–251. doi: 10.1021/acsphyschemau.2c00063. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Vos R. E., Kolmeijer K. E., Jacobs T. S., van der Stam W., Weckhuysen B. M., Koper M. T. M.. How Temperature Affects the Selectivity of the Electrochemical CO2 Reduction on Copper. ACS Catal. 2023;13(12):8080–8091. doi: 10.1021/acscatal.3c00706. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Lu X., Gankhuyag T., Obata K., Yu Y., Takanabe K.. Selectivity Control by Modifying Pressure, Temperature, and Ionomer Decoration for CO2 Electroreduction Using Gas-Diffusion Cu Electrodes. Chem Catal. 2024;4(7):101030. doi: 10.1016/j.checat.2024.101030. [DOI] [Google Scholar]
- Al-Amin M., Hemmer J. V., Wilson A. J.. Effect of Temperature Gradients on the Selectivity of the Electrocatalytic CO2 Reduction Reaction. ACS Appl. Mater. Interfaces. 2025;17(39):54816–54825. doi: 10.1021/acsami.5c12578. [DOI] [PubMed] [Google Scholar]
- Liu S., Yin Y., Yang J., Zhao W., Zhou M., Qin H., Jiao J., Wang Y., Wang H., Tong X., Xu Y., Sun X., Zhu Q., Fan M., Kang X., Han B.. Temperature-Dependent Pathways in Carbon Dioxide Electroreduction. Sci. Bull. 2025;70(6):889–896. doi: 10.1016/j.scib.2024.12.052. [DOI] [PubMed] [Google Scholar]
- Xiong L., Fletcher A. M., Ernst S., Davies S. G., Compton R. G.. An Electrochemical Thermometer: Voltammetric Measurement of Temperature and Its Application to Amperometric Gas Sensing. Analyst. 2012;137(11):2567–2573. doi: 10.1039/c2an35336a. [DOI] [PubMed] [Google Scholar]
- Xiong L., Fletcher A. M., Davies S. G., Norman S. E., Hardacre C., Compton R. G.. A Simultaneous Voltammetric Temperature and Humidity Sensor. Analyst. 2012;137(21):4951–4957. doi: 10.1039/c2an35939a. [DOI] [PubMed] [Google Scholar]
- Hassan H. C., Said S. M., Ibrahim N. M. J. N., Hasnan M. M. I. M., Noor I. S. M., Zakaria R., Salleh M. F. M., Noor N. L. M., Abdullah N.. Ultra-High Seebeck Coefficient of a Thermal Sensor Through Entropic Optimisation of Ligand Length of Fe(II) Spin-Crossover (SCO) Materials. RSC Adv. 2021;11(34):20970–20982. doi: 10.1039/D1RA01387D. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Quickenden T. I., Mua Y.. A Review of Power Generation in Aqueous Thermogalvanic Cells. J. Electrochem. Soc. 1995;142(11):3985–3994. doi: 10.1149/1.2048446. [DOI] [Google Scholar]
- Dupont M. F., MacFarlane D. R., Pringle J. M.. Thermo-Electrochemical Cells for Waste Heat Harvesting – Progress and Perspectives. Chem. Commun. 2017;53(47):6288–6302. doi: 10.1039/C7CC02160G. [DOI] [PubMed] [Google Scholar]
- Gao C., Lee S. W., Yang Y.. Thermally Regenerative Electrochemical Cycle for Low-Grade Heat Harvesting. ACS Energy Lett. 2017;2(10):2326–2334. doi: 10.1021/acsenergylett.7b00568. [DOI] [Google Scholar]
- Han C.-G., Qian X., Li Q., Deng B., Zhu Y., Han Z., Zhang W., Wang W., Feng S.-P., Chen G., Liu W.. Giant Thermopower of Ionic Gelatin near Room Temperature. Science. 2020;368(6495):1091–1098. doi: 10.1126/science.aaz5045. [DOI] [PubMed] [Google Scholar]
- Cheng H., Le Q., Liu Z., Qian Q., Zhao Y., Ouyang J.. Ionic Thermoelectrics: Principles, Materials and Applications. J. Mater. Chem. C. 2022;10(2):433–450. doi: 10.1039/D1TC05242J. [DOI] [Google Scholar]
- Liu Y., Cui M., Ling W., Cheng L., Lei H., Li W., Huang Y.. Thermo-Electrochemical Cells for Heat to Electricity Conversion: From Mechanisms, Materials, Strategies to Applications. Energy Environ. Sci. 2022;15(9):3670–3687. doi: 10.1039/D2EE01457B. [DOI] [Google Scholar]
- Qian X., Ma Z., Huang Q., Jiang H., Yang R.. Thermodynamics of Ionic Thermoelectrics for Low-Grade Heat Harvesting. ACS Energy Lett. 2024;9(2):679–706. doi: 10.1021/acsenergylett.3c02448. [DOI] [Google Scholar]
- Zeng Y., Yu B., Chen M., Zhang J., Liu P., Guo J., Wang J., Feng G., Zhou J., Duan J.. Solvation Entropy Engineering of Thermogalvanic Electrolytes for Efficient Electrochemical Refrigeration. Joule. 2025;9(3):101822. doi: 10.1016/j.joule.2025.101822. [DOI] [Google Scholar]
- Wakayama Y., Zhou H., Iwata R., Ujita M., Yamada T.. Electrochemical Peltier Cooling: Device Design, Measurement Techniques, and Molecular Optimization. Small Methods. 2025;9(12):e01604. doi: 10.1002/smtd.202501604. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Sutin N., Weaver M. J., Yee E. L.. Correlations Between Outer-Sphere Self-Exchange Rates and Reaction Entropies for Some Simple Redox Couples. Inorg. Chem. 1980;19(4):1096–1098. doi: 10.1021/ic50206a074. [DOI] [Google Scholar]
- Sahami S., Weaver M. J.. Entropic and Enthalpic Contributions to the Solvent Dependence of the Thermodynamics of Transition-Metal Redox Couples: Part II. Couples Containing Ammine and Ethylenediamine Ligands. J. Electroanal. Chem. Interfacial Electrochem. 1981;122:171–181. doi: 10.1016/S0022-0728(81)80148-9. [DOI] [Google Scholar]
- Basu P., Chakravorty A.. Low-Spin Tris(quinone oximates) of Manganese(II,III). Synthesis, Isomerism, and Equilibria. Inorg. Chem. 1992;31(24):4980–4986. doi: 10.1021/ic00050a014. [DOI] [Google Scholar]
- Wytko J. A., Boudon C., Weiss J., Gross M.. Copper(II/I) Complexes of a Hexakis(bipyridyl)cyclotriveratrylene Ligand: A Redox-Induced Conformational Switch. Inorg. Chem. 1996;35(15):4469–4477. doi: 10.1021/ic9516626. [DOI] [PubMed] [Google Scholar]
- van Staveren D. R., Bothe E., Weyhermüller T., Metzler-Nolte N.. Variable Temperature Electrochemistry as a Powerful Method for Conformational Investigations on the Fluxional Organometallic Complex Mo(His-N ε-C2H4CO2Me)(η-allyl)(CO)2 (His = N δ, N,O-L-Histidinate) Chem. Commun. 2001;2001(1):131–132. doi: 10.1039/b007822k. [DOI] [Google Scholar]
- Battistuzzi G., Bellei M., Zederbauer M., Furtmüller P. G., Sola M., Obinger C.. Redox Thermodynamics of the Fe(III)/Fe(II) Couple of Human Myeloperoxidase in Its High-Spin and Low-Spin Forms. Biochemistry. 2006;45(42):12750–12755. doi: 10.1021/bi061647k. [DOI] [PubMed] [Google Scholar]
- Schulzke C.. Temperature Dependent ElectrochemistryA Versatile Tool for Investigations of Biology Related Topics. Dalton Trans. 2009;2009(34):6683–6691. doi: 10.1039/b904361f. [DOI] [PubMed] [Google Scholar]
- Dagar M., De A., Lu Z., Matson E. M., Thorarinsdottir A. E.. Implications of Charge and Heteroatom Dopants on the Thermodynamics and Kinetics of Redox Reactions in Keggin-Type Polyoxometalates. ACS Mater. Au. 2025;5(1):200–210. doi: 10.1021/acsmaterialsau.4c00136. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Yee E. L., Cave R. J., Guyer K. L., Tyma P. D., Weaver M. J.. A Survey of Ligand Effects upon the Reaction Entropies of Some Transition Metal Redox Couples. J. Am. Chem. Soc. 1979;101(5):1131–1137. doi: 10.1021/ja00499a013. [DOI] [Google Scholar]
- Hupp J. T., Weaver M. J.. Solvent, Ligand, and Ionic Charge Effects on Reaction Entropies for Simple Transition-Metal Redox Couples. Inorg. Chem. 1984;23(22):3639–3644. doi: 10.1021/ic00190a042. [DOI] [Google Scholar]
- Svensson Grape E., Huang J., Roychowdhury D., Debela T. T., Chang H., Jenkins A., Schimpf A. M., Hendon C. H., Brozek C. K.. Converting Heat to Electrical Energy Using Highly Charged Polyoxometalate Electrolytes. ACS Appl. Energy Mater. 2024;7(24):11423–11428. doi: 10.1021/acsaem.4c00036. [DOI] [Google Scholar]
- Kobayashi T., Yamada T., Tadokoro M., Kimizuka N.. A Novel Thermocell System Using Proton Solvation Entropy. Chem. – Eur. J. 2021;27(13):4287–4290. doi: 10.1002/chem.202004562. [DOI] [PubMed] [Google Scholar]
- Yamada T., Kobayashi T., Wakayama Y., Matoba F., Yatsuzuka K., Kimizuka N., Zhou H.. An Aqueous Vanadium Complex for the Superior Electrolyte of a Thermo-Electrochemical Cell. Sustain. Energy Fuels. 2024;8(4):684–688. doi: 10.1039/D3SE00774J. [DOI] [Google Scholar]
- Sahami S., Weaver M. J.. Entropic and Enthalpic Contributions to the Solvent Dependence of the Thermodynamics of Transition-Metal Redox Couples: Part I. Couples Containing Aromatic Ligands. J. Electroanal. Chem. Interfacial Electrochem. 1981;122:155–170. doi: 10.1016/S0022-0728(81)80147-7. [DOI] [Google Scholar]
- Jaworski J. S.. Reaction Entropy for the Electroreduction of Bis(biphenyl)chromium(I) in Different Solvents. Polyhedron. 1987;6(12):2151–2153. doi: 10.1016/S0277-5387(00)84278-3. [DOI] [Google Scholar]
- He J., Al-Masri D., MacFarlane D. R., Pringle J. M.. Temperature Dependence of the Electrode Potential of a Cobalt-Based Redox Couple in Ionic Liquid Electrolytes for Thermal Energy Harvesting. Faraday Discuss. 2016;190:205–218. doi: 10.1039/C5FD00238A. [DOI] [PubMed] [Google Scholar]
- Huang B., Muy S., Feng S., Katayama Y., Lu Y.-C., Chen G., Shao-Horn Y.. Non-Covalent Interactions in Electrochemical Reactions and Implications in Clean Energy Applications. Phys. Chem. Chem. Phys. 2018;20(23):15680–15686. doi: 10.1039/C8CP02512F. [DOI] [PubMed] [Google Scholar]
- Laws K., Buckingham M. A., Farleigh M., Ma M., Aldous L.. High Seebeck Coefficient Thermogalvanic Cells via the Solvent-Sensitive Charge Additivity of Cobalt 1,8-Diaminosarcophagine. Chem. Commun. 2023;59(16):2323–2326. doi: 10.1039/D2CC05413B. [DOI] [PubMed] [Google Scholar]
- Inoue H., Zhou H., Ando H., Nakagawa S., Yamada T.. Exploring the Local Solvation Structure of Redox Molecules in a Mixed Solvent for Increasing the Seebeck Coefficient of Thermocells. Chem. Sci. 2024;15(1):146–153. doi: 10.1039/D3SC04955H. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Zhou H., Yoneda N., Nohara K., Hartano N., Wakayama Y., Inoue H., Ando H., Matsumoto K., Yamada T.. Enthalpy–Entropy Compensation Governs the Solvent-Mixing Effect in Electrochemical Thermoelectric Conversion. J. Am. Chem. Soc. 2026;148(4):4043–4050. doi: 10.1021/jacs.5c14655. [DOI] [PubMed] [Google Scholar]
- Kadish K. M., Das K., Schaeper D., Merrill C. L., Welch B. R., Wilson L. J.. Spin State Dependent Redox Properties of the [FeIII(X-Sal)2trien]+ Spin-Equilibrium System in Solution. Inorg. Chem. 1980;19(9):2816–2821. doi: 10.1021/ic50211a065. [DOI] [Google Scholar]
- Abraham T. J., MacFarlane D. R., Pringle J. M.. High Seebeck Coefficient Redox Ionic Liquid Electrolytes for Thermal Energy Harvesting. Energy Environ. Sci. 2013;6(9):2639–2645. doi: 10.1039/c3ee41608a. [DOI] [Google Scholar]
- Abdullah N., Elsheikh M. H., Ibrahim N. M. J. N., Said S. M., Sabri M. F. M., Hassan M. H., Marlina A.. Magnetic, Thermal, Mesomorphic and Thermoelectric Properties of Mononuclear, Dimeric and Polymeric Iron(II) Complexes with Conjugated Ligands. RSC Adv. 2015;5(63):50999–51007. doi: 10.1039/C5RA07100C. [DOI] [Google Scholar]
- Hasnan M. M. I. M., Abdullah N., Said S. M., Salleh M. F. M., Hussin S. A. M., Shah N. M.. Thermo-Electrochemical Generation Capabilities of Octahedral Spin Crossover Complexes of Mn(II), Fe(II) and Co(II) with N-Donor Ligands and Benzoate Counter Ion. Electrochim. Acta. 2018;261:330–339. doi: 10.1016/j.electacta.2017.12.145. [DOI] [Google Scholar]
- Al-Masri D., Dupont M., Yunis R., MacFarlane D. R., Pringle J. M.. The Electrochemistry and Performance of Cobalt-Based Redox Couples for Thermoelectrochemical Cells. Electrochim. Acta. 2018;269:714–723. doi: 10.1016/j.electacta.2018.03.032. [DOI] [Google Scholar]
- Carmona-Pérez D., Gao M., Andes S., Brennessel W. W., Thorarinsdottir A. E.. Effect of Coordination Environment and Electronic Coupling on Redox Entropy in a Family of Dinuclear Complexes. ACS Electrochem. 2025;1(5):741–753. doi: 10.1021/acselectrochem.4c00186. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Youngblood M. P., Margerum D. W.. Reaction Entropies of Copper(III,II) Peptide and Nickel(III,II) Peptide Redox Couples and the Role of Axial Solvent Coordination. Inorg. Chem. 1980;19(10):3068–3072. doi: 10.1021/ic50212a048. [DOI] [Google Scholar]
- Conry, R. R. Copper: Inorganic & Coordination Chemistry. Encyclopedia of Inorganic and Bioinorganic Chemistry; John Wiley & Sons, 2011; pp 1–19 10.1002/9781119951438.eibc0050. [DOI] [Google Scholar]
- Zerk T. J., Bernhardt P. V.. Redox-Coupled Structural Changes in Copper Chemistry: Implications for Atom Transfer Catalysis. Coord. Chem. Rev. 2018;375:173–190. doi: 10.1016/j.ccr.2017.11.016. [DOI] [Google Scholar]
- Leandri V., Daniel Q., Chen H., Sun L., Gardner J. M., Kloo L.. Electronic and Structural Effects of Inner Sphere Coordination of Chloride to a Homoleptic Copper(II) Diimine Complex. Inorg. Chem. 2018;57(8):4556–4562. doi: 10.1021/acs.inorgchem.8b00225. [DOI] [PubMed] [Google Scholar]
- Kannankutty K., Chen C.-C., Nguyen V. S., Lin Y.-C., Chou H.-H., Yeh C.-Y., Wei T.-C.. tert-Butylpyridine Coordination with [Cu(dmp)2]2+/+ Redox Couple and Its Connection to the Stability of the Dye-Sensitized Solar Cell. ACS Appl. Mater. Interfaces. 2020;12(5):5812–5819. doi: 10.1021/acsami.9b19119. [DOI] [PubMed] [Google Scholar]
- Fürer S. O., Milhuisen R. A., Kashif M. K., Raga S. R., Acharya S. S., Forsyth C., Liu M., Frazer L., Duffy N. W., Ohlin C. A., Funston A. M., Tachibana Y., Bach U.. The Performance-Determining Role of Lewis Bases in Dye-Sensitized Solar Cells Employing Copper-Bisphenanthroline Redox Mediators. Adv. Energy Mater. 2020;10(37):2002067. doi: 10.1002/aenm.202002067. [DOI] [Google Scholar]
- Zhou G., Zhang L., Xia Y., Xu H., Yin W., Wang S., Yi J., Zhu X., Ning X., Wang X.. Highly Selective Photocatalytic CO2 Reduction by Metal-N4 Dynamically Generated from Atomically Dispersed Copper. Chem. Eng. J. 2023;477:147040. doi: 10.1016/j.cej.2023.147040. [DOI] [Google Scholar]
- Kovalevsky A. Y., Gembicky M., Novozhilova I. V., Coppens P.. Solid-State Structure Dependence of the Molecular Distortion and Spectroscopic Properties of the Cu(I) Bis(2,9-dimethyl-1,10-phenanthroline) Ion. Inorg. Chem. 2003;42(26):8794–8802. doi: 10.1021/ic0348805. [DOI] [PubMed] [Google Scholar]
- Blackman A. G., Schenk E. B., Jelley R. E., Krenske E. H., Gahan L. R.. Five-Coordinate Transition Metal Complexes and the Value of τ5: Observations and Caveats. Dalton Trans. 2020;49(42):14798–14806. doi: 10.1039/D0DT02985H. [DOI] [PubMed] [Google Scholar]
- Yang L., Powell D. R., Houser R. P.. Structural Variation in Copper(I) Complexes with Pyridylmethylamide Ligands: Structural Analysis with a New Four-Coordinate Geometry Index, τ4 . Dalton Trans. 2007;2007(9):955–964. doi: 10.1039/B617136B. [DOI] [PubMed] [Google Scholar]
- West R. J., Lincoln S. F.. Nitrogen-14 Magnetic Resonance Study of the Exchange of Acetonitrile on Copper(II) Complexes. J. Chem. Soc., Dalton Trans. 1974;1974(3):281–284. doi: 10.1039/dt9740000281. [DOI] [Google Scholar]
- Helm L., Merbach A. E.. Inorganic and Bioinorganic Solvent Exchange Mechanisms. Chem. Rev. 2005;105(6):1923–1959. doi: 10.1021/cr030726o. [DOI] [PubMed] [Google Scholar]
- Arriortua M. I., Rojo T., Amigó J. M., Germain G., Declercq J. P.. Bis(2,2′:6′,2″-terpyridine)copper(II) Hexafluorophosphate. Acta Crystallogr., Sect. B: Struct. Sci., Cryst. Eng. Mater. 1982;38(4):1323–1324. doi: 10.1107/S0567740882005676. [DOI] [Google Scholar]
- Meyer A., Schnakenburg G., Glaum R., Schiemann O.. (Bis(terpyridine))copper(II) Tetraphenylborate: A Complex Example for the Jahn–Teller Effect. Inorg. Chem. 2015;54(17):8456–8464. doi: 10.1021/acs.inorgchem.5b01157. [DOI] [PubMed] [Google Scholar]
- Horikoshi R., Funasako Y., Yajima T., Mochida T., Kobayashi Y., Kageyama H.. Copper(II) Solvatochromic Complexes [Cu(acac)(N ∧ N)(ligand)]BPh4 with Various Axial Ligands. Correlation Between Coordination Geometries and d–d Transition Energies (acac = Acetylacetonato, N ∧ N = 1,10-Phenanthoroline, 2,2′-Bipyridyl) Polyhedron. 2013;50(1):66–74. doi: 10.1016/j.poly.2012.09.063. [DOI] [Google Scholar]
- Bard, A. J. ; Faulkner, L. R. . Electrochemical Methods: Fundamentals and Applications, 2nd ed.; John Wiley & Sons, 2001. [Google Scholar]
- Kratochvil B., Lorah E., Garber C.. Silver–Silver Nitrate Couple as Reference Electrode in Acetonitrile. Anal. Chem. 1969;41(13):1793–1796. doi: 10.1021/ac60282a011. [DOI] [Google Scholar]
- Randles J. E. B.. A Cathode Ray Polarograph. Part II.The Current-Voltage Curves. Trans. Faraday Soc. 1948;44:327–338. doi: 10.1039/TF9484400327. [DOI] [Google Scholar]
- Ševčík A.. Oscillographic Polarography with Periodical Triangular Voltage. Collect. Czech. Chem. Commun. 1948;13:349–377. doi: 10.1135/cccc19480349. [DOI] [Google Scholar]
- Yu B., Xiao H., Zeng Y., Liu S., Wu D., Liu P., Guo J., Xie W., Duan J., Zhou J.. Cost-Effective n-Type Thermocells Enabled by Thermosensitive Crystallizations and 3D Multi-Structured Electrodes. Nano Energy. 2022;93:106795. doi: 10.1016/j.nanoen.2021.106795. [DOI] [Google Scholar]
- Wu M., Hao S., Qi L., Shi Y., Yang W., Bao J., Du M., Mo Z., Sun L.. An N-Type Thermogalvanic Cell with a High Temperature Coefficient Based on the Cu/Cu(en)2 2+ Redox Couple. ACS Appl. Mater. Interfaces. 2025;17(18):26775–26783. doi: 10.1021/acsami.5c03375. [DOI] [PubMed] [Google Scholar]
- Xie B., Li M., Chen C., Chen G., Liu Z.. Thermopower Regulation of Thermocells via Electrolyte Engineering: Progress and Prospects. Chem. Commun. 2025;61(78):15042–15060. doi: 10.1039/D5CC04133C. [DOI] [PubMed] [Google Scholar]
- Yu B., Duan J., Cong H., Xie W., Liu R., Zhuang X., Wang H., Qi B., Xu M., Wang Z. L., Zhou J.. Thermosensitive Crystallization–Boosted Liquid Thermocells for Low-Grade Heat Harvesting. Science. 2020;370(6514):342–346. doi: 10.1126/science.abd6749. [DOI] [PubMed] [Google Scholar]
- Li S., Li Z., Xu D., Hu R.. Strong Concentration Gradient Effect and Weak Solvation Effect in Thermopower Enhancement in K3Fe(CN)6/ K4Fe(CN)6 Aqueous Electrolyte with Ethanol Addition. Chem. Eng. J. 2024;493:152806. doi: 10.1016/j.cej.2024.152806. [DOI] [Google Scholar]
- Liu X., Wang T., Ye H., Nan W., Chen M., Fang J., Fan F. R.. Boosting I–/I3 – Liquid State Thermocells Through Solubility-Driven Biphasic System Optimization. EcoEnergy. 2024;2(3):478–488. doi: 10.1002/ece2.52. [DOI] [Google Scholar]
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