An electrochemical storage device is provided including an anode chamber filled with anode material, and a cathode chamber filled with cathode material. The anode chamber is separated from the cathode chamber by ion-conducting solid body electrolyte, and is limited on one side at least partially by the solid body electrolyte, and to the other side at least partially by a wall surrounding at least partially the solid body electrolytes. The electrochemical storage device has a head part where electric energy is guided to and/or taken away from, a base part arranged opposite the head part, and at least one lateral part including at least one wall arranged between the head and base part. At least one first area and second area are formed between the wall and the solid body electrolyte, both areas being different with respect to the respective distance between the wall and solid body electrolyte.