The present invention relates to a clamping device (300) for battery cells (100), characterized by: a container that comprises a space (310) with a variable volume for receiving a fluid, the container being designed such that a battery cell (100) or a plurality of battery cells (100) can be clamped. The invention also relates to a battery module, a battery, a battery system, a vehicle and a method for producing a battery module (20; 30; 40; 50; 60).