Abstract
The static and the dynamic Jahn-Teller vibronic couplings found in square planar molecules are investigated. Without spin-orbit coupling and considering only one distorting vibration, the problem can be solved exactly within the adiabatic Born-Oppenheimer approximation. In this case the vibrational pattern is that expected for a harmonic oscillator. If on the other hand spin-orbit coupling is included the vibrational pattern becomes highly irregular. Finally, in the limit of large spin-orbit coupling the Jahn-Teller coupling is completely quenched and the potential surfaces are again harmonic.
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