Four models for the calculation of the IR spectrum of gas phase molecules and clusters from molecular dynamics simulations are presented with the aim to reduce the computational cost of the usual Fourier transform (FT) of the time correlation function of the dipole moment. These models are based on the VDOS, FT of time correlation function of velocities, and atomic polar tensors (APT). The models differ from each other by the number of APTs inserted into the velocities correlation function. Excellent accuracy is achieved by the model adopting a weighted linear combination of a few selected APTs adapted for the rotation of the molecule (model D). The achieved accuracy relates to band positions, band shapes, and band intensities. Depending on...