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We present a model for quasielastic neutron scattering (QENS) by an aqueoussolution of compact and inflexible molecules. This model accounts fortime-dependent spatial pair correlations between the atoms of the same as wellas of distinct molecules and includes all coherent and incoherent neutronscattering contributions. The extension of the static theory of the excludedvolume effect [A. K. Soper, J. Phys.:Condens. Matter 9, 2399 (1997)] to thetime-dependent (dynamic) case allows us to obtain simplified model expressionsfor QENS spectra in the low Q region in the uniform fluid approximation. Theresulting expressions describe the quasielastic small-angle neutron scattering(QESANS) spectra of D2O solutions of native and methylated cyclodextrins well,yielding in particular translational and rotational diffusion coefficients ofthese compounds in aqueous solution. Finally, we discuss the full potential ofthe QESANS analysis (that is, beyond the uniform fluid approximation), inparticular, the information on solute-solvent interactions (e.g., hydrationshell properties) that such an analysis can provide, in principle.

Quasielastic small-angle neutron scattering from heavy water solutions of cyclodextrins