This invention pertains to alkaline electrochemical cells, typically to metal-air cells of the button-type. Non-reactive elements of cells of the invention are thinner than corresponding non-reactive elements of prior art cells. Such elements can be made thinner because of improved structures of such elements. The anode can is made from a metal strip structure having a higher steel content. The cathode can has a modified temper, which improves relative stiffness and rigidity while retaining sufficient ductility. The seal disposed between the anode can and the cathode can is made thinner. Structure of the corner of the cathode can between the bottom and the side wall is improved. By so reducing the thicknesses of non-non-reactive elements of the cell, and thus the volume occupied by such non-reactive elements, the fraction of the cell devoted to holding electrochemically reactive anode material therein is increased, with corresponding increase in the milliampere hour capacity of the cell.