Abstract A hybrid neutron spectrometer is described. It consists of a crystal monochromator unit and a time-of-flight analyzer unit. The chopping of the beam can be performed either by using a curved slit rotating chopper or by means of a so-called “flipper-chopper” device. The resolution function of the spectrometer is formulated using the independent resolution-vector approach. Experimentally obtained resolution ellipses are compared with the results of computer calculations. By means of a diagonalization procedure the computer programs can also give the lengths and orientations of the principal axes of the resolution ellipsoid for any experimental geometry. This is of great help in planning neutron inelastic scattering experiments.