The invention relates to a chip assembly comprising a chip (20) having a front side (21) and a rear side (22) and in whose front side at least one integrated component is provided. The chip is provided, on or in the front side thereof, with contact locations (23) serving to contact the integrated component and has contact material elements (24) made of a contact material that extend in material receptacles (29) between the contact locations (23) and contact points (26) on the rear side of the chip. The chip assembly also comprises a substrate (10) with a contact side (11) on which contact surfaces (12) for defining a contact surface layout are provided. The chip is placed on the substrate so that the rear side (22) of the chip (20) is situated on the contact side (11) of the substrate (10), and the contact surfaces (12) rest opposite the contact points (26) while establishing an electrical connection.