A new implementation of the EBK method for the semiclassical quantization of partially destroyed tori is presented. The application to the calculation of some quantum states of the LiNC/LiCN molecule which are influenced by a saddle-node bifurcation is discussed. In this quantization surrogates of invariant tori, computed using gap filling saddle-node orbits, are used. These orbits are obtained from a very detailed study of the islands around islands structure existing in the relevant classical phase space region. (C) 1997 American Institute of Physics.