Based on the UB matrix approach commonly used for the elastic scattering experiments, the crystal
orientation techniques
for the
inelastic neutron scattering experiments based on 3-axis and time-of-flight (TOF) spectrometers were developed. In principle, both methods are similar. Differences arose from the goniometer settings and the fact that the energy transfer is non-zero for inelastic scattering, as well as few notational differences.
The most important feature of the typical 3-axis goniometer is that the scattering vector rotation must maintain the specified reference plane as horizontal as possible. This means that we need to find the U matrix similar to the elastic case and reorient U. Unique for the inelastic case, the transfer energy can be obtained by adjusting the monochromator and analyzer scattering angle.
The general case for the TOF spectrometer is difficult as the detector used are not planar. The treatment for the calculation was then limited to arc angles required to place a specified plane horizontal and angles for the case where the the only sample manipulation is obtained through a rotation stage.