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Yang et al. Microstructures 2023;3:2023013  https://dx.doi.org/10.20517/microstructures.2022.30  Page 13 of 27

               different reduction resistances. The decreased reduction resistance in the 5 M electrolyte depressed the
               irreversible electrochemical reaction and formed less SEI compared to the less concentrated electrolytes .
                                                                                                        [73]
               A comparison of the electrochemical performance of Bi-based anode materials in PIBs is shown in Table 2.

               Based on the current study of Bi-based PIBs, KFSI-based electrolytes have better electrochemical
               performance compared to KPF -based electrolytes because of the higher ionic conductivity and the
                                           6
               formation of a more stable and uniform SEI. Some ether-based electrolytes have extraordinary performance
               in half cells because their ether-derived SEI possesses better mechanical flexibility. The concentrated
               electrolyte can improve the electrochemical performance to a certain extent due to the lower resistance of
               the electrolyte.


               Sb-based electrodes for PIBs
               Antimony is a layered structure hexagonal element with a high electrical conductivity of 2.5 × 10  S·m .
                                                                                                        -1
                                                                                                    6
               Studies of Sb as anode applied in batteries can be traced back to the 1970s  when Weppner first studied its
                                                                             [77]
               kinetic parameters and thermodynamic properties in mixing conducting electrodes to be applied in a Li Sb
                                                                                                       3
               system. Theoretically, one mole of Sb can alloy with three moles of lithium, sodium or potassium. The first
               study of Sb in PIBs was in 2015 . Sb is a promising anode material with a high theoretical capacity of
                                           [78]
               687 mAh g  in PIBs, which makes it a novel potential anode material.
                        -1
               K-ion storage mechanism of Sb
               Based on the Sb-K phase diagram, there are four K-Sb binary phases going through K Sb, K Sb , KSb and
                                                                                              5
                                                                                         3
                                                                                                 4
                                          [79]
               KSb with decreasing K content . The corresponding equilibrium potentials of KSb , KSb, K Sb and K Sb
                   2
                                                                                                       3
                                                                                       2
                                                                                                 4
                                                                                               5
               are 0.890, 0.849, 0.439 and 0.398 V, respectively, based on DFT computations , which are shown in
                                                                                     [74]
               Figure 7A-C. In-situ XRD experiments and cyclic voltammetry (CV) were carried out to analyze the phase
                      [80]
               changes . In the discharge process, the first step was the transformation of hexagonal Sb to amorphous Sb.
               As reported, the peak at 28.6° corresponding to the (012) phase of Sb gradually became weaker , as shown
                                                                                               [81]
               in Figure 7D. In the amorphous region, KSb and KSb phases can form at the potential of 0.78 V and at the
                                                     2
               potential of 0.23 V, K Sb phase can form based on the CV results. When fully discharged to ~0.2 V, the
                                  5
                                     4
               cubic K Sb phase with Fm3m symmetry forms as the final potassiation product. Upon charging, the K Sb
                      3
                                                                                                       3
               phase gradually decreases by the formation of the intermediate phase K Sb. When further charging, the Sb
                                                                            x
               phase forms with the decomposition of intermediate K Sb. In addition, the cubic K Sb phase can be
                                                                 x
                                                                                           3
                                                                         [82]
               observed in the second cycle, while no crystalline Sb can be observed .
               One interesting observation is the formation of the cubic K Sb phase as the fully discharged product. There
                                                                 3
               are two polymorphs of K Sb, hexagonal K Sb (h-K Sb) and cubic K Sb (c-K Sb). Based on the DFT
                                                                             3
                                                             3
                                                      3
                                                                                    3
                                      3
               calculations, h-K Sb is more stable than c-K Sb, as shown in Figure 7E . If we consider the crystalline
                                                                             [83]
                                                      3
                              3
               energy and the reaction activation energy, however, the results are different. The following equation
               represents the activation barrier ΔE*(x):
                                                                       2
                                                                                ΔE*(x) = 16πγ /3(ΔE (x)/p(x)V ) .                                                                 (5)
                                                        3
                                                             g
                                                                     0
               where γ represents the surface energy, ΔE  represents the energy gain on passing from the crystalline to
                                                   g
               amorphous phase and V  is the molar volume of the crystalline phase, as shown in Figure 7E and F. Even
                                    0
               the molar energy gain of h-K Sb is higher than that of c-K Sb by ~0.12 eV and h-K Sb also has a higher
                                                                                        3
                                                                  3
                                         3
               surface energy and lower density. As a result, h-K Sb has a higher activation barrier, which results in the
                                                          3
               final formation of c-K Sb instead of h-K Sb . Thus, based on current reports, the reaction can be
                                                       [83]
                                                    3
                                    3
               concluded as Sb crystal  → Sb amorphous , Sb amorphous  + xK  + xe  ↔ K Sb amorphous  and K Sb amorphous  + (3-x)K  + (3-x)e  ↔
                                                                                                       -
                                                        +
                                                                                               +
                                                             -
                                                                               x
                                                                 x
               c-K Sb crystalline .
                  3
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