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Quasielastic Neutron Scattering and Solid State Diffusion$
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Rolf Hempelmann

Print publication date: 2000

Print ISBN-13: 9780198517436

Published to Oxford Scholarship Online: January 2010

DOI: 10.1093/acprof:oso/9780198517436.001.0001

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Coherent quasielastic neutron scattering

Coherent quasielastic neutron scattering

(p.140) 6 Coherent quasielastic neutron scattering
Quasielastic Neutron Scattering and Solid State Diffusion

Rolf Hempelmann

Oxford University Press

QENS on diffusing atoms with a sizable coherent neutron scattering cross section yields information on interference effects and correlated motion contained in the coherent scattering function S(Q, ω). As an introduction to this complex situation, this chapter begins by describing first coherent elastic scattering due to short-range order. The structure factor SSROM(Q) for short-range order of a lattice fluid can be expressed in terms of Cowley's short-range order parameters. For a diffusing lattice fluid, coherent QENS consists of a single Lorentzian: its intensity is given by SSRO and its width Λ and thus the collective diffusion coefficient Dc exhibit the so-called de Gennes narrowing: at the Q value where SSRO has a maximum, Λ and Dc exhibit a minimum. Furthermore, elastic distortion scattering (Huang scattering) and quasielastic scattering on distortions combined with diffusion is dealt with.

Keywords:   Cowley, short-range order parameters, collective diffusion, de Gennes narrowing, Huang scattering

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