“…Thus, to estimate the buoyancy of melts generated at depth, to calculate the mineral-melt partition coefficients of elements and volatiles or to evaluate the solubility of rare gases in melts at high pressure, an accurate evaluation of the equation of state (EOS) for liquid silicates is needed to make reliable predictions. However density measurements of melts under pressure remain somewhat scarce (Fujii and Kushiro, 1977;Rigden et al, 1984;Agee and Walker, 1988;Miller et al, 1991;Agee and Walker, 1993;Ohtani et al, 1993;Suzuki et al, 1995Suzuki et al, , 1998Circone and Agee, 1996;Smith and Agee, 1997;Ohtani et al, 1998;Ohtani and Maeda, 2001;Chen et al, 2002;Suzuki and Ohtani, 2003) and mostly incomplete (in general only one or two state points are evaluated) which prevents the accurate determination of the EOS. Moreover in these studies, the experimental set up deals either with isostatic pressure (sink/float experiment) or with shock-wave compression (Hugoniot curve) and the link between the two methods is not straightforward; this is additionally obscured by experimental uncertainties.…”