We employ the methodological iterative Bogoliubov transformations (IBT) [Int. J. Quantum Chem. 94 (2003) 179], in which analytical expressions for the transition probabilities between quantum states of an anharmonic system interacting with a low intensity time dependent field were derived, for the evaluation of state-to-state transitions in diatomic molecules of the type H-X. We extend the former result in the calculation of the squeezing and dispersive properties of the system, and evaluate it for the same kind of molecules. © 2004 Elsevier Inc. All rights reserved.