A theoretical spectroscopic study is performed for the C state of LiH using
eight diabatic or adiabatic states of symmetry (1)Sigma beyond the Born-Op
penheimer approximation. For the position of the vibrational levels, an exc
ellent agreement is found with the ten recently observed ones giving confid
ence to the present study. The vibrational levels present rather strong vib
ronic shifts (rising to about 10 cm(-1) for upsilon = 37) particularly for
the highest ones. Two approximate methods are tested for their estimation a
nd a new method is presented for the evaluation of the vibronic part of the
adiabatic correction. The new method involves the diabatic picture and the
discrete variable representation. It leads to nonlocal corrections but avo
ids the calculation of radial couplings. Nonradiative lifetimes are accurat
ely determined. They range over six orders of magnitude, from nanoseconds t
o milliseconds. Similarities of the LiH molecule in the C state and in high
er excited states at large internuclear distances with highly excited Rydbe
rg atoms are emphasized. (C) 1999 American Institute of Physics. [S0021-960
6(99)01423-3].