/1/R. Br\""{u}hl et al: J. Chem. Phys. 94 (1991) 5865 and J. Mol. Spectr. 155 (1992) 277Author Institution: Institut f\""{u}r Strahlungs-und Kemphysik, Technische Universitat Berlin HardenbergstrThe interatomic potential of the K-Ar system has been determined for the molecular states X2Σ and A2Π from laserspectroscopic data using a fully quantum-mechanical approach and using the same analytical functions for the potential as in previous cases /1/. For the first time, we were able to take approximately into account the B2Σ state which due to an avoided crossing lowers the energy values of the upper vibrational levels of the A2Π1/2 state. Our experimental data have been derived from a high-resolution absorption spectrum due to the transition AΠ←XΣ. They consist of rovibrational energy values for v′=0…3 of XΣ and v′=6…11 for A2Π. The molecular energy levels could accuratryly be referred to the atomic energy scale by observation of the onset of predissociation in the AΠ3/2 state. In addition, the spectral distribution of the fluorescence light AΠ→XΣ has been recorded providing information on the repulsive part of the XΣ potential. We obtain agreement with all experimental data by using a Tang-Toennies function for A2Π, a HFD function for X2Σ, and a (12.6) Lennard-Jones potential for B2Σ. Our results for equilibrium distance Re and well-depth De ar