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 the study. In this paper,
the static structure factors, ion-ion dynamic structure factors, adiabatic
velocity, and optical properties of beryllium along the Hugoniot are calculated
by ab initio simulations concurrently. The dynamic structure factor via the
intermediate scattering function extracts the dispersion relation for the
collective excitations. The static structure factors show that beryllium atoms
are randomly distributed. By collecting the peak position of dynamic structure
factors, the dispersion relation and adiabatic sound velocity are derived. By
the calculated equation of state, the thermoelastic properties and adiabatic
sound velocity are derived. The two calculated methods about adiabatic sound
velocity are verified to be equivalent