- #1
oshah
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- TL;DR Summary
- To implement various EoS for planetary modelling in an Astrophysical context I need to know how unit cell volumes of minerals are converted into density.
I'm modelling the interiors of core-dominated (exo)planets. The EoS I use in my calculations are mostly either a Birch-Murnaghan formulation or a Mie-Grüneisen-Debye formulation. In either case, the ambient density ρ0 at ambient pressure and temperature are required for the implementation. However, in most of the literature the ambient volume V0 is given instead. E.g. Sun 2018 (https://www.sciencedirect.com/science/article/pii/S0012821X18301195) give the unit cell volume for Perovskite and post-Perovskite as 162.37 A3 and 164.22 A3 respectively (see their Table 1). As I have a purely Astrophysical background I do not know how to convert the unit cell volume into density as the conversion would of course depend on the lattice structure of the material which itself depends on the mineral phase at hand. To avoid loosing too much time diving into the world of solid state physics, I would appretiate it if, using the example from Sun 2018, someone more familier with the field could provide me with the proceedure to convert V0 into ρ0.