A new model of electrodeposition and electrodissolution is developed and applied to the evolution of Mg deposits during anode cycling. The model captures Butler-Volmer kinetics, facet evolution, the spatially varying potential in the electrolyte, and the time-dependent electrolyte concentration. The model utilizes a diffuse interface approach, employing the phase field and smoothed boundary methods. Scanning electron microscope (SEM) images of magnesium deposited on a gold substrate show the formation of faceted deposits, often in the form of hexagonal prisms. Orientation-dependent reaction rate coefficients were parameterized using the experimental SEM images. Three-dimensional simulations of the growth of magnesium deposits yield deposit morphologies consistent with the experimental results. The simulations predict that the deposits become narrower and taller as the current density increases due to the depletion of the electrolyte concentration near the sides of the deposits. Increasing the distance between the deposits leads to increased depletion of the electrolyte surrounding the deposit. Two models relating the orientation-dependence of the deposition and dissolution reactions are presented. The morphology of the Mg deposit after one deposition-dissolution cycle is significantly different between the two orientation-dependence models, providing testable predictions that suggest the underlying physical mechanisms governing morphology evolution during deposition and dissolution. Magnesium batteries have garnered substantial attention as a successor to Li-ion batteries due to their potential for high energy density and safe operation.1-3 Metallic Mg anodes provide a substantially higher specific volumetric capacity (3833 mA h/cm 3 ) than either Ligraphite anodes (760 mA h/cm 3 ) or metallic Li anodes (2046 mA h/cm 3 ). 2 Furthermore, unlike metallic Li anodes, 5 metallic Mg anodes can be cycled without the formation of dendrites. 4 Dendrite growth poses a hazard because dendrites can grow across the separator to the cathode and short the battery, leading to thermal runaway. 5,6 Instead of forming dendrites, metallic Mg anodes form compact, faceted films, practically eliminating this risk. 4 Understanding the evolution of this Mg film during cycling is a critical factor in the development of high-performance magnesium batteries.
7Although the development of electrolytes for the efficient and reversible deposition and dissolution of Mg has been pursued extensively (see Refs. 1 and 2 for comprehensive reviews on this topic), much less attention has been given to the morphological evolution of the Mg deposits during cycling. SEM and AFM images of the Mg film typically show a highly faceted film with grains on the order of 1 μm in width. [8][9][10][11] However, other morphologies with either larger 10 or smaller 12,13 features have also been observed. The most comprehensive examination of the morphology of electrodeposited Mg was conducted by Matsui, 4 who examined the morphology of 1 C/cm 2 of Mg deposited at 0.5...