A method of attaching a semiconductor chip on a lead frame includes A) providing a semiconductor chip, B) applying a solder metal layer sequence to the semiconductor chip, wherein the solder metal layer sequence includes a first metallic layer including indium or an indium-tin alloy, C) providing a lead frame, D) applying a metallization layer sequence to the lead frame, wherein the metallization layer sequence includes a fourth layer including indium and/or tin arranged above the lead frame and a third layer including gold arranged above the fourth layer, E) forming an intermetallic intermediate layer including gold and indium, gold and tin or gold, tin and indium, G) applying the semiconductor chip to the lead frame via the solder metal layer sequence and the intermetallic intermediate layer, and H) heating the arrangement produced in G) to attach the semiconductor chip to the lead frame.