The theoretical thermodynamic stability was calculated for products of cycloaddition of vinylimine to ketene and isocyanic acid to allene by using the MP2, DFT(B3PW91), and HF methods involving the 6-311++G** basis set. These cycloaddition reactions could yield fourteen different molecules; practically however, free Gibbs energies calculated for the considered molecules suggest that only 4-and 3-methylene-b-lactams can be formed in observable amounts. For these particular isomers the heats of formation, geometry, rotational constants, harmonic vibrational frequencies, infrared intensities, Raman activities, depolarisation ratios, and 1 H, 13 C, 17 O and 15 N NMR spectra were evaluated and discussed. The PED analysis carried out for theoretical IR spectra allowed us to assign vibrations of the two isomers. The IR and NMR assignments form a basis for the elucidation of future experimental data.