To avoid even in rotor-stator dispersion machines with high suction power that the drawn liquid is set into a rotational movement whereby the dispersion performance is impaired, the invention provides transitional elements, such as an intermediate piece, for establishing the connection between a rotor-stator dispersion machine and a container. The rotor-stator dispersion machine comprises a rotor-stator system having at least one toothed ring. The container has a longitudinal axis and an outlet. The intermediate piece has a first opening for the connection with the outlet of the container and a second opening for the connection with the rotor-stator dispersion machine. The intermediate piece comprises a tube line that extends between the first and the second opening and has at least in some sections a longitudinal axis that is inclined relative to the longitudinal axis of the container by an angle a30 in the range of 0° to 90°.