One variation of a battery unit includes: a substrate including silicon and defining a cell, wherein the cell includes a base encompassed by a continuous wall and a set of posts extending normal to the base; an electrolyte material coating vertical surfaces of each post, in the set of posts, and vertical surfaces of the continuous wall in the cell; a cathode material filling the cell over the electrolyte material, between posts in the set of posts, and between the set of posts and the continuous wall; a seal extending along a top of the continuous wall; and a cathode current collector bonded to the seal, electrically coupled to the cathode material, and cooperating with the substrate to enclose the cell to form a single-cell battery.