Breakdown of the Born-Oppenheimer adiabatic approach is found for the third
electronic excited state of LiH of (1)Sigma symmetry. A comparison between
adiabatic and vibronic calculations indicates changes in the arrangement o
f the levels and strong level-shifts, rising up to 90 cm(-1). In the presen
t case, the predictions can be easily confirmed by experiment with the help
of the rotational constants. The generality of such breakdown of the adiab
atic approach for highly excited states of molecular systems (even diatomic
) is further discussed by considering the diabatic picture.