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The dynamical structure factor of a Coulomb crystal of ions is calculated atarbitrary temperature below the melting point taking into account multi-phononprocesses in the harmonic approximation. In a strongly coupled Coulomb ionliquid, the static structure factor is split into two parts, aBragg-diffraction-like one, describing incipient long-range order structures,and an inelastic part corresponding to thermal ion density fluctuations. It isassumed that the diffractionlike scattering does not lead to the electronrelaxation in the liquid phase. This assumption, together with the inclusion ofmulti-phonon processes in the crystalline phase, eliminates largediscontinuities of the transport coefficients (jumps of the thermal andelectric conductivities, as well as shear viscosity, reported previously) at amelting point.Comment: 4 pages, 2 figures, REVTeX using epsf.sty. Phys. Rev. Lett., in pres

Ion Structure Factors and Electron Transport in Dense Coulomb Plasmas