The propensity for growth of dendritic protrusions can be estimated by solving the mechanical equilibrium, mass transport and charge transport equations, coupled with the nonlinear Butler-Volmer relation. Based on this computational approach, a map correlating growth during operation at 75% of the limiting current density to the electrolyte shear modulus and transference number (see Figure 1) has been developed, showing regimes in which prevention of dendritic protrusion is possible. The results are consistent with experimental observations of dendrite growth in liquid and polymer (PEO) based electrolytes (demarcated by the red regions). This phase-map is expected to help in designing new electrolyte materials that promote dendrite-free lithium deposition.
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