Molecular alignment and molecular optics in moderately intense, far-off resonance laser fields have been the topic of intensive research during the past decade. Nonetheless, two qualitatively different forms of the interaction Hamiltonian that underlies these and related strong field manipulation methods have been consistently applied in theoretical and numerical studies. Using a generalization of the (t, t) method, we derive the effective interaction Hamiltonian and prove that one form holds when the laser frequency is larger than the molecular rotational frequencies and the duration of the laser pulse is sufficiently large, while the other form holds only in the adiabatic limit when the laser frequency is smaller than the rotational ones and the field can be considered as a static field with slowly varying strength. Only the first form is applicable to the study of alignment of molecules by lasers. The alignment and orientation of molecules by lasers have a large variety of applications in different fields of chemistry, physics, and potentially also biology and material research [1, 2]. Examples of recently demonstrated applications range from laser-assisted isotope separation [3], and catalysis [4], through pulse compression [5] and nanoscale design [6, 7] to tomographic imaging of molecules [8] and quantum information processing [9]. Molecular alignment can be induced at different frequency domains (i.e., different laser energies with respect to the transition frequencies of the molecule) but the case of far-offresonance excitation has been particularly well studied and is also the topic of the present work. In the far-off-resonance limit, the field interacts with the material system via an induced dipole Hamiltonian, which, at the intensity range of relevance, is dominated by the molecular polarizability term. The induced dipole Hamiltonian is of interest since it underlies a variety of phenomena in strong field control of external and internal molecular modes, including