A connection device allows connection of an anesthetic container (400) to an anesthetic vaporizer (300) in a fluid-tight manner. A port section (1000) of the anesthetic vaporizer can be detachably connected to an adapter (1100) of the port section. With the adapter connected to the port section, a vaporizer-side channel section and a container-side channel section together form a continuous channel for anesthetic. The area of the surface of the port section that points towards the adapter is formed by a vaporizer-side contact profile (K.1, K.8), and the area of the surface of the adapter that points towards the port section is formed by a container-side contact profile (K.25, 28, 31). One contact profile has a projection (1), and the other contact profile has a corresponding recess (25) that contact with one another without an intermediate space. The projection positive-lockingly meshes with the recess.