H2–H2O demixing in Uranus and Neptune: Adiabatic structure models

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Table 2

Case (ii) and case (iii) constrained models with resulting J₄ values and required water and rock abundances and core mass.

Planet	Phase	Z_atm	P_Z	$Z_{2, H_{2} O}$ ${Z_{2,{{\rm{H}}_2}{\rm{O}}}}$	J₄/10⁻⁶	M_core	$Z_{2, H_{2} O}$ ${Z_{2,{{\rm{H}}_2}{\rm{O}}}}$	Z_2,гocks	J₄/10⁻⁶	M_core
	diagram		(GPa)	case (ii)	case (ii)	(M_E)	case (iii)	case (iii)	case (iii)	(M_E)
U	SFB-linear-3 GPa	0.209	3	0.683	−43.32	4.134	0.437	0.324	−38.61	2.252
U	SFB-linear-4 GPa	0.058	4	0.775	−38.78	2.953	0.449	0.332	−36.01	1.777
U	SFB-linear-5 GPa	0.057	5	0.799	−37.71	2.582	0.455	0.337	−35.48	1.556
U	V23 conv-1800 K	0.133	4.8	0.759	−39.70	3.165	0.447	0.331	−36.75	1.870
U	V23 conv-2000 K	0.085	6	0.808	−37.43	2.431	0.458	0.339	−35.38	1.428
U	V23 flat	0.114	3.7	0.743	−40.36	3.397	0.443	0.328	−36.93	1.989
U	Berg24	0.141	11	0.864	−35.72	1.467	0.479	0.355	−34.45	0.654

N	SFB-linear-3 GPa	0.159	3	0.734	−43.54	5.389	0.454	0.336	−38.80	3.332
N	SFB-linear-4 GPa	0.058	4	0.793	−40.66	4.517	0.460	0.341	−37.50	3.057
N	SFB-linear-5 GPa	0.057	5	0.814	−39.66	4.142	0.465	0.344	−37.02	2.838
N	V23 conv-1800 K	0.094	4.8	0.796	−40.53	4.439	0.461	0.341	−37.52	2.996
N	V23 conv-2000 K	0.057	6	0.834	−38.74	3.771	0.471	0.349	−36.51	2.591
N	V23 flat	0.078	3.7	0.778	−41.36	4.756	0.457	0.339	−37.84	3.162
N	Berg24	0.101	11	0.892	−36.41	2.524	0.635^(*)	0.235^(*)	−35.47	1.880

Notes. In case (ii), the heavy element is only water, whereas in case (iii) rocks are added. $Z_{2, H_{2} O}$ ${Z_{2,{{\rm{H}}_2}{\rm{O}}}}$ is obtained as Z_շ,rocks × I/R.^(*) I/R=1x solar.

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