The resolution function of a slow neutron rotating-crystal time-of-flight spectrometer. I. Application to phonon measurements
Abstract
The resolution function of a slow neutron rotating crystal time-of-flight spectrometer applied to phonon measurements is treated analytically. It is demonstrated that every component of the instrument may contribute to the uncertainty of the time-of-flight measurement. Focusing conditions are derived leading to the concept of removable and irremovable time-of-flight spreads. No approximations are made concerning the phonon dispersion surface. Experimental evidence is presented to support the resolution functions calculated on the basis of this theory.