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We present results of lattice dynamics calculations of the $P-V$ equation ofstate and the pressure dependence of the Raman-active $E_{2g}$ lattice phononfor $p-$H$_2$ and $o-$D$_2$ in a wide pressure range up to $\sim$2 Mbar usingour recently developed semi-empirical many-body potential, anddensity-functional theory. Comparison with existing body of experimental andtheoretical results showed that the employed many-body potential is a reliablebasis for high-precision calculations for phases I, II, and III of solidhydrogens.

Equation of state and Raman-active $E_{2g}$ lattice phonon in phases I, II, and III of solid hydrogen and deuterium