A 3D printer head comprises a chamber that is configured for receiving liquid or solid print material through an inlet. The chamber has an outlet opening on one surface, and a spiral feed screw is associated with the chamber and is configured for supplying the outlet opening with print material that passes from the inlet into the chamber, by coupling the spiral feed screw or the chamber to a drive that is configured for rotating the spiral feed screw or the chamber in such a way that the spiral feed screw rotates at a distance from the surface of the chamber and relative thereto. The spiral feed screw has at least one conveyor that is configured for conveying print material between a radially outwardly situated inlet area and a radially inwardly situated outlet area, toward the latter, and at least one discharge conveyor that is arranged and configured for conveying print material, together with gas present therein, away from at least one section of a radially outer border zone of the outlet area.