The influence of instrumental resolution on high frequency incoherent neutron scattering

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Abstract
The instrumental energy resolution Δω limits the analysis and interpretation of experimental data to times t≲(Δω)−1. Investigating high frequency molecular modes with a resolution Δω much bigger than the characteristic frequency of the lattice phonon spectrum the observed intensity has a dependence on momentum transfer Q and temperature T which is described by a Debye–Waller factor which contains only the amplitudes of the high frequency molecular modes. With improved resolution details of the signal coming from the molecular mode itself and from the lattice phonon, sidebands can be studied. This paper generalizes the recent analysis of Griffin and Jobic, which ignored instrumental resolution.