The properties of rechargeable lithium ion batteries are determined by the electrochemical and kinetic properties of their constituent materials as well as by their underlying microstructure. Through this project, methods are developed that use microscopic information and constitutive material properties to calculate the response of rechargeable batteries. The methods are implemented in OOF, a public domain finite element code, so they can be applied to arbitrary two dimensional microstructures with crystallographic anisotropy. This methodology is being used as a design tool for creating improved electrode microstructures. Novel geometrical arrangements of electrode particles are explored to improve active materials utilization, power density, and reliability (electrochemical and electrical) of the LiyC | LixMn2O4, and the LiyC | LixCoO2 battery system. Analyses suggest battery performance can be improved by controlling the transport paths to the back of the cathode, maximizing the surface area for intercalating lithium ions, and carefully controlling the spatial distribution and particle size of active material (see Figure 1).