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Page 12 of 28           Choi et al. Energy Mater. 2025, 5, 500106  https://dx.doi.org/10.20517/energymater.2025.50

               Table 2. TE performance of i-TE hydrogels with PVA networks
                Authors        Polymer       Ion conductor   Type  S  [mV/K]    σ  [mS/cm]   κ  [W/mK]
                                                                                 i
                                                                    i
                                                                                              i
                Hsiao et al. [45]  PVA       Na[BF ]         p     66.7         31.4         -
                                                 4
                               PEG
                      [79]
                Chen et al.    PVA           HCl             p     38.2         1.89         0.46
                       [80]
                Horike et al.  PVA           [Rmim]Cl        p     10           0.16         0.29
                      [29]
                Chen et al.    PVA           NaOH            n     -37.6        0.00736      0.42
                Li et al. [36]  PVA          KCl             n     -16.8        17.7         0.5
                      [50]                        2−
                Chen et al.    PVA cellulose  [CuCl ]        n     -26.3        8.47         0.47
                                                4
                Chen et al. [77]  PVA        NaOH            n     -20.7        0.62         -
                               BC
                Hu et al. [81]  PVA          ZnSO 4          n     -3.69        0.15         -
                               PVP
               S : Ionic Seebeck coefficient; σ : ionic conductivity; κ : thermal conductivity; PEG: polyethylene glycol; PVP: polyvinylpyrrolidone; BC: bacterial
                i
                                                 i
                                   i
               cellulose.
























                Figure 5. PVA-based n-type i-TE materials and their TE properties. The figure includes the structural representation of PVA and
                illustrates its interactions within the hydrogel network, highlighting the relationship between structure and TE performance. (A) Design
                schematic of PVA modified by sulfonate (-SO -). (B) Increase in -ΔV as a function of ΔT, representing the Seebeck coefficient. (C) Ionic
                                              3
                conductivity (σ), thermal conductivity (κ), power factor (PF) and figure of merit (ZT) of hydrogel electrolytes. Reproduced with
                                                                           i
                          i
                                                          i
                permission [36] . Copyright 2025, Royal Society of Chemistry; (D) Schematic illustration of the fabricated i-TE materials based on
                                        +
                coordination interaction between Na  and -OH groups of NaOH-PVA hydrogels under the temperature gradient. Seebeck coefficient of
                fabricated PVA hydrogels (E) before and (F) after dry-annealing process with different NaOH concentrations. Reproduced under the
                terms of the Creative Commons CC-BY license [29] . Copyright 2021, American Association for the Advancement of Science.
               molecular interactions enable adjustable mechanical properties and ionic conductivity, making PAM
               suitable for both p-type and n-type i-TE applications. Incorporating salts, polyelectrolytes, or ILs further
               modulates ion diffusion, thus optimizing Seebeck coefficients. Due to its flexibility, hydration stability, and
               strong ion-polymer interactions, PAM-based hydrogels present a promising platform for next-generation i-
               TE materials.


               PAM-based hydrogels are often optimized for p-type i-TE applications by enhancing selective cation
                                 [83]
               transport [Figure 6A] . A major strategy involves introducing negatively charged functional groups, such
                                                                     -
               as carboxyl (-COO ), phosphate (-PO ), or sulfonate (-SO ), to increase surface charge density and
                                                 2-
                                -
                                                                    3
                                                 4
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