Table 2 Typical parameters used in Fig. 3 taken mostly from Labrosse (2015)

ρ₀

Density at the center

12451 kg m^-3

L_ρ

Density scale height

8039

A_ρ

4th order polynomial fitting constant of the density

0.484

b

Core radius

3486 km

c

Inner core radius

1221 km at the present

k_c0

Thermal conductivity at the center

163 W/m/K or 125 W/m/K

A_k

Radial dependence of thermal conductivity

2.39

γ

Grüneisen parameter

1.5

\( {\left(\frac{\partial {T}_m}{\partial P}\right)}_X \)

Pressure derivative of melting temperature

9 × 10⁻⁹ K/Pa

\( {\left(\frac{\partial {T}_m}{\partial X}\right)}_P \)

Compositional derivative of melting temperature

−2.1 × 10⁴ K^-1

X₀

Initial concentration of light elements of the Earth’s core

5.6 %

∆_Xρ_I

Density difference across the ICB

580 kg m^-3

c_p

Heat capacity

750 J K^-1 kg^-1

T_m0

Melting temperature at the center

5300 K^j