The nonequilibrium phase transformation and particle shape effects in LiFePO 4 materials of Li-ion batteries are explored in this work. A continuum model employing the "mushy-zone" (MZ) approach, accounting for sluggish Li diffusion across the two-phase boundary, has been developed to study the kinetically-induced nonequilibrium phenomenon in Li-ion batteries. A theoretical analysis is presented to show that the nonequilibrium miscibility gap expands and shifts to higher Li composition at high discharge rates, due to insufficient compositional readjustments at the two-phase boundary. Furthermore, critical effects of particle shape on nonequilibrium phase transformation and discharge capacity have been discovered by the model.The demand for Li-ion batteries as power sources in transportation and future energy landscape requires significant breakthroughs in materials and design as well as fundamental understanding of particle-level mechanism. The phase transformation across the miscibility gap between the Li-rich phase, b (e.g., LiFePO 4 ) and the Li-deficient phase, a (e.g., FePO 4 ) has been demonstrated to play a critical role in the rate performance of cathode materials, such as Mn þ2 -doped LiFePO 4 1 and nanosize LiFePO 4 . 2,3 Reduction of particle size and partial substitution of Fe in LiFePO 4 by Mn þ2 have been found to shrink the miscibility gap, i.e., to increase the solid solution range. Furthermore, the miscibility (either equilibrium or nonequilibrium) relies not only on particle size 3 and temperature, 4 but also surface coatings 5 and particle geometries. 6 Additionally, phase separation also depends on the timescale of Li insertion. Li ion insertion at a sufficiently low rate will allow the system to be in equilibrium; however, faster insertion may lead to a kineticallyinduced nonequilibrium phase transformation, as seen in the spinel Li 4þx Ti 5 O 12 . 7 The kinetically-induced nonequilibrium phase transformation can be illustrated by Fig. 1. At a low-rate discharge (e.g., C/10 in Fig. 1a), a flat plateau appears at around 3.5 V for a LiFePO 4 -based cathode, corresponding to the two-phase region in the equilibrium phase diagram (Fig. 1b). This equilibrium phase separation, as shown by the red curve in Fig. 1b, is realized by Li ion diffusion and readjustments in composition at the two-phase interfaces. However, at a high-rate discharge (e.g., 20 C in Fig. 1a) the flat plateau may disappear and is instead replaced with a fast decaying curve. 8,9 These phenomena are more pronounced at lower temperature where Li diffusion is retarded. 10 It is hypothesized that a nonequilibrium phase transformation occurs during fast discharge, where the nonequilibrium miscibility gap shifts to higher Li contents and is represented by the dashed blue line in Fig. 1b. The implication of this phenomenon is that the nonequilibrium miscibility gap is significantly expanded, leading to significant reduction in two-phase solubility and battery discharge capacity.This work is to explore numerically the nature of the noneq...