  Beryllium is an ablator material in the inertial-confinement fusion and
hypervelocity impact studies. The thermoelastic properties, structure factors,
and optical properties of beryllium are important in these studies. In this
paper, the static structure factors, ion-ion dynamic structure factors,
adiabatic velocity, and optical properties of beryllium along the Hugoniot were
calculated by ab initio simulations. The static structure factors show that
beryllium atoms were randomly distributed. The dynamic structure factors via
the scattering function have extracted the dispersion relation for the
collective excitations. By collecting the peak position of dynamic structure
factors, the dispersion relation and adiabatic sound velocity were derived by
definitions. By the calculated equation of state, the thermoelastic properties
and adiabatic sound velocity have been derived. The two calculated methods
about adiabatic sound velocity were verified to be equivalent.
