Table 3.

Temperatures of characteristic state points calculated from different LJ EOS

	$T_{max(\mathcal{Z})}^{\ast }$	$T_{max(\mathcal{B})}^{\ast }$	$T_{max(\mathcal{C})}^{\ast }$	$T_{max(\mathcal{A})}^{\ast }$	$T_{\text{VLE}\cap \mathcal{B}}^{\ast }$	$T_{\text{VLE}\cap \mathcal{C}}^{\ast }$	$T_{\mathcal{Z}\cap \mathcal{C}}^{\ast }$	$T_{\mathcal{Z}({\rho }^{\ast }\to 0)}^{\ast }$	$T_{\mathcal{B}({\rho }^{\ast }\to 0)}^{\ast }$	$T_{\mathcal{C}({\rho }^{\ast }\to 0)}^{\ast }$	$T_{\mathcal{A}({\rho }^{\ast }\to 0)}^{\ast }$	$T_{C^{\ast }=0}^{\ast }$	$T_{max(C^{\ast })}^{\ast }$
Cotterman et al. [35]	1.6310	1.9335	2.5495	4.3358	1.3005	1.0572	1.6310	3.4321	3.4321	6.3469	18.7773	–	–
Paricaud [57]	1.7642	2.0918	2.9776	4.7771	1.3469	1.0651	1.7642	3.4248	3.4248	6.4571	25.1718	–	–
Lafitte et al. [38]	1.6711	2.1382	2.7890	4.2976	1.2838	1.0525	1.6711	3.4220	3.4220	6.4379	24.6615	0.1838	0.2704
van Westen and Gross [56]	1.7026	2.0406	2.8827	4.0655	1.2029	1.0579	1.7026	3.4280	3.4280	6.4444	24.6640	0.3559	0.4994
Stephan et al. [46]	1.7884	2.2171	3.3279	–	1.3008	1.0505	1.7884	3.3172	3.3172	6.3423	–	–	–
Koutras et al. [66]	1.5278	1.9851	2.8420	–	1.3187	1.0343	1.5278	3.0549	3.0549	5.3955	8.8877	–	–
Kolafa and Nezbeda [52]	1.7437	2.1305	2.9641	4.5240	1.3037	1.0448	1.7437	3.4176	3.4176	6.4303	25.1215	1.0110	1.5316
Mecke et al. [54, 55]	1.7326	2.1531	2.8817	4.4880	1.3058	1.0535	1.7326	3.4181	3.4181	6.4315	25.4520	0.9791	1.4068
Hess [67]	1.7466	2.1710	2.9804	4.6380	1.3789	1.0526	1.7466	3.4179	3.4179	6.4308	25.1526	–	–
Boltachev and Baidakov [68]	–	2.0292	–	–	1.1894	1.0538	2.8050	3.4183	3.4183	6.4339	25.2259	–	–
Gottschalk [69]	1.7392	2.1185	2.9255	4.6550	1.2959	1.0497	1.7393	3.4179	3.4179	6.4308	25.1526	–	–
Quiñones-Cisneros et al. [65]	1.7456	2.0612	2.8011	4.1177	1.3029	1.0570	1.7456	–	–	–	38.0169	–	–
Nicolas et al. [51]	1.8031	2.1744	3.0167	7.3349	1.3281	1.0998	1.8031	3.4748	3.4748	6.2763	14.4852	–	–
Adachi et al. [64]	1.6818	2.0867	2.8610	20.3570	1.2570	1.0373	1.6818	3.4148	3.4148	6.4090	30.9385	–	–
Miyano [61]	1.7547	2.2564	3.2542	3.6436	1.3165	1.0349	1.7547	3.4151	3.4151	6.4166	25.1903	0.3159	0.3938
Johnson et al. [28]	1.7321	2.1165	3.0488	16.7742	1.2838	1.0567	1.7321	3.4150	3.4150	6.4147	31.8491	0.6878	0.9906
Sun and Teja [60]	1.6831	2.1198	2.8851	8.6988	1.2858	1.0506	1.6831	3.4004	3.4004	6.2288	17.4236	–	–
May and Mausbach [62, 63]	1.7267	2.1387	3.0118	15.9232	1.2859	1.0617	1.7267	3.4150	3.4150	6.4147	31.8491	0.5986	0.8588
Ree [53]	1.7771	2.0370	2.9266	3.8508	1.3725	1.0894	1.7771	3.8746	3.8746	7.3462	28.5118	–	–
Thol et al. [41]	1.7424	2.1760	2.9211	4.4841	1.2943	1.0512	1.7424	3.4168	3.4168	6.4253	25.1728	0.8884	1.2139

The columns are from left to right: the maxima of the four characteristic curves, the intersection point of the Boyle and Charles curve with the VLE phase boundary, the intersection point of the Zeno and Charles curve, the zero-density limit of the four characteristic curves, the zero crossing of the third virial coefficient, and the maximum of the third virial coefficient. The full specifications of the state points are reported in the electronic Supplementary Material. Exact values obtained from the virial coefficient route by numerical integration; Eqs. (9) and (10), cf. Fig. 4—middle and bottom: $T_{C^{\ast }=0}^{\ast }=0.886917868$, $T_{\text{max}(C^{\ast })}^{\ast }=1.229875759$, $T_{\mathcal{B}({\rho }^{\ast }\to 0)}^{\ast }=3.417927982$, $T_{\mathcal{C}({\rho }^{\ast }\to 0)}^{\ast }=6.430798418$, $T_{\mathcal{A}({\rho }^{\ast }\to 0)}^{\ast }=25.15242837$