A battery includes an electrode assembly. The electrode assembly has a population of unit cells, each unit cell including an electrode current collector layer, an electrode layer, a separator layer, a counter-electrode layer, and a counter-electrode current collector layer in stacked succession. The electrode layer has an electrode active material, and the counter-electrode layer has a counter-electrode active material. One of the electrode active material and the counter-electrode material is a cathodically active material and the other of the electrode active material and the counter-electrode material is an anodically active material. A subset of the unit cell population includes a pair of spacer members located between the electrode current collector layer and the counter-electrode current collector layer. At least a portion of the counter-electrode active material is located between the spacer members in a common plane defined by the x and z axes.