The electrochemical and phase-change behavior of lithium trivanadate during lithiation and delithiation is analyzed by comparing a coupled electrode/crystal-scale mathematical model to operando experiments. The model expands on a previously published crystalscale model by adding descriptions for electrode-scale resistances. Agreement between simulated and observed electrochemical measurements is compelling. Time and space-resolved operando EDXRD measurements on the cathode are compared with simulated concentration profiles. Both simulation and experiment reveal that during lithiation, phase transformations preferentially occur near the separator, while during delithiation the disappearance of the lithium-rich β-phase occurs uniformly across the electrode. Lithium trivanadate, LiV 3 O 8 , and transition metal oxides in general are attractive cathode materials for lithium-ion batteries due to their moderate redox potential, high theoretical capacity, and good rate capability.1,2 LiV 3 O 8 , as with many other transition metal oxides, undergoes phase change during lithiation. 1,3,4 Up to a composition of Li 2.5 V 3 O 8 , the material is in the parent layered α-phase; from Li 2.5 V 3 O 8 to Li 4 V 3 O 8 , the α-to β-phase transition process takes place where the layered phase transforms into the defected rock-salt β-phase; beyond Li 4 V 3 O 8 , lithiation occurs into the single β-phase.
1,4Phase transitions during battery operation are significant because they have implications for electrochemical performance, rate capability, as well as cycle life. Previous studies have interrogated phase change using a variety of methods, both experimental and theoretical: electrochemical, 5-7 in-situ 8,9 and ex-situ 10 characterization (SEM,7,11 XRD 4,5,7,10,11 ), DFT, 9,12 and continuum modeling.
6Electrochemical measurements are commonly used to investigate battery performance. While these measurements are useful, they are indirect measurements of the physical processes that govern performance. For this reason, direct measurements through characterization, such as SEM, XRD, and TEM are used in-situ and ex-situ to try to understand the internal processes. However, because battery systems are highly dynamic, if there are even short delays between operating the battery and interrogating it, the observed profiles may not be indicative of the profiles that exist during operation. This concept is illustrated in Figure 1. Using the parameters listed in Table II and discharging at C/18 until an equivalence of Li 2.4 V 3 O 8 , simulations show that even with a short gap between discharge and characterization (two hours) the spatial profiles change significantly. And if there is a 10-hour delay or more, the non-uniformities present during operation will be completely undetectable. operando studies are therefore very valuable because they allow for characterization in time and position and show how these profiles evolve during battery operation; insights about the physical process can be gained from this characterization information. Z...