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The structure and dynamics of water surrounding DNA, proteins, and membranes have been the subject of intense experimental and theoretical study. It has been argued that the most important vibrations of a biopolymer lie in the GHz to a few hundred GHz frequency range. Because the relaxation frequencies of the hydration shells lie in this frequency range, water cannot be treated as a viscous damping medium (low-frequency case) or some perturbation on the local bonds (high-frequency case). Some dieletric, and inelastic neutron-scattering measurements have been used to study the hydration shells of DNA in this frequency range.