Modified Lennard-Jones Potentials with a Reduced Temperature-Correction Parameter for Calculating Thermodynamic and Transport Properties: Noble Gases and Their Mixtures (He, Ne, Ar, Kr, and Xe)

Table 3

Deviations between experimental and calculated viscosities of pure noble gases.

Compound	Number of data points	Average RMSDr in η (%)						Δ𝑇 (K)	Reference
		Present study	L-J	Kihara	Lucas	Simsci	Refprop
Regression results
Helium	9	5.27	18.3	13.2	3.23	2.05	2.83	80–1300	[24]
Neon	36	1.50	1.86	3.76	2.80	4.29	2.48	30–500	[24]
Argon	30	1.84	2.72	5.33	1.73	1.32	0.29	10–650	[24]
Krypton	19	2.87	12.2	8.56	1.23	0.91	1.85	150–600	[24]
Xenon	23	0.49	9.88	4.10	2.50	0.57	2.13	300–430	[24]
Average	117**	1.90	6.60	5.74	2.25	2.08	1.78
Prediction results
	22	4.11	8.33	2.99	4.95	0.98	3.94	50–973	[26]
	31	4.62	9.03	2.96	3.92	0.60	10.0	20–1000	[29]
	1	4.44	8.82	0.76	2.87	0.64	1.32	300	[30]
	8	2.34	6.52	4.03	6.74	0.91	0.84	298–1010	[31]
	1	4.83	9.93	0.14	2.26	0.06	0.75	303	[32]
	13	3.15	7.32	4.24	6.36	1.31	1.43	198–473	[33]
	8	2.90	6.86	4.17	6.42	0.40	0.53	298–973	[34]
	8	2.71	6.65	4.27	6.54	0.23	0.42	298–973	[35]
	6	2.98	6.87	4.37	6.55	0.36	0.57	298–973	[36]
	9	3.26	7.90	2.47	4.72	0.33	0.49	298–678	[37]
	9	2.51	6.68	3.83	6.17	0.26	0.36	298–778	[38]
	5	4.05	8.85	1.32	3.48	0.09	0.41	298–473	[39]
	1	2.91	7.66	2.66	5.3	3.68	3.46	767	[40–42]
	6	4.24	8.91	1.37	3.54	0.35	0.32	298–512	[43]
	1	5.28	10.2	0.08	2.03	0.09	0.62	292	[44]
	1	5.72	10.5	0.77	1.34	0.76	0.03	291	[45, 46]
Helium	2	6.29	11.1	1.40	0.98	1.39	0.76	291	[47]
	2	5.06	10.1	12.7	2.12	0.13	0.60	293–303	[48]
	4	5.48	10.4	0.95	1.82	0.51	0.81	237–308	[49]
	6	5.91	10.7	1.51	0.36	1.50	2.50	72–291	[50]
	10	5.01	9.61	4.31	1.77	3.08	30.8	14–293	[51]
	5	5.30	10.2	0.46	2.23	1.84	1.83	297–523	[52]
	2	5.07	10.1	0.13	2.11	0.12	0.59	293–303	[53]
	1	4.85	9.99	0.02	2.16	0.14	0.54	303	[54]
	10	4.94	9.75	1.01	2.86	1.40	1.38	293–523	[55]
	39	6.84	10.4	2.73	6.18	5.94	22.0	14–973	[56]
	74	3.40	7.42	3.73	5.97	0.87	0.58	100–1000	[57]
	72	5.77	10.3	6.75	4.09	15.7	62.2	200–1000	[58]
	8	2.69	6.63	4.28	6.55	0.24	0.44	298–973	[59]
	11	4.70	9.22	1.89	3.51	0.46	0.49	100–600	[60]
	19	5.32	9.72	3.05	4.30	0.35	1.68	80–1000	[61]
	7	1.32	4.25	5.50	7.98	3.10	3.45	250–1000	[62]
	13	3.83	8.54	1.89	4.34	2.64	2.53	373–973	[63]
Average	415*	4.49	8.76	3.75	4.82	3.97	15.1
Neon	27	2.04	1.54	8.00	3.14	3.04	15.2	50–973	[26]
	6	1.58	1.22	7.79	2.45	1.47	2.20	100–600	[29]
	8	1.58	0.72	8.36	3.65	0.57	27.4	298–973	[64]
	13	1.83	1.04	8.60	3.54	1.04	21.2	298–973	[33]
	8	2.07	1.24	8.91	4.21	0.92	27.1	298–973	[35]
	6	2.22	1.37	8.97	4.30	1.09	29.8	298–973	[36]
	8	2.27	1.39	9.05	4.36	1.08	26.9	298–973	[65]
	5	1.13	0.46	7.91	1.82	1.07	2.72	298–473	[39]
	7	1.80	1.00	8.66	3.64	0.91	11.3	298–778	[38]
	9	1.67	0.90	8.47	2.90	1.15	3.52	298–673	[37]
	3	1.07	2.10	5.89	0.82	0.66	0.47	298–348	[66]
	3	4.46	5.53	2.74	4.21	3.99	2.91	298–348	[67, 68]
	3	0.49	1.50	6.45	0.29	0.13	1.07	298–348	[69]
	6	1.03	2.01	6.02	0.81	0.70	0.71	298–348	[40–42]
	3	0.27	1.17	6.78	0.22	0.58	1.39	298–348	[70]
	3	0.19	1.17	6.76	0.22	0.33	1.39	298–348	[71]
	3	0.75	0.75	7.36	0.97	1.00	2.11	298–348	[72]
	3	0.56	0.52	7.38	0.81	0.97	2.04	298–348	[73]
	3	0.49	0.56	7.32	0.74	0.92	1.98	298–348	[74]
	3	1.09	0.89	7.56	1.30	1.28	2.38	298–348	[75]
	3	0.58	0.50	7.39	0.83	0.99	2.06	298–348	[76]
	4	0.65	0.305	7.45	0.64	1.61	1.71	237–308	[49]
	2	0.65	0.328	7.50	0.78	1.35	1.94	293–303	[53]
	5	2.20	1.986	8.31	2.24	2.10	3.38	72–291	[77]
	5	1.08	2.994	8.15	1.92	9.59	7.60	20–293	[51]
	6	2.08	2.176	7.54	2.44	2.05	2.91	273–523	[52]
	2	0.65	0.328	7.50	0.78	1.35	1.94	293–303	[53]
	2	1.12	2.129	5.76	1.14	0.47	0.17	291	[47]
	2	0.52	0.947	6.98	0.51	0.92	1.39	291	[45, 46]
	52	0.98	1.568	7.83	1.68	6.64	13.4	20–1000	[56]
	32	1.24	0.991	7.71	3.11	0.68	22.1	100–950	[57]
	92	4.80	4.116	5.86	4.23	12.4	7.89	27–320	[58]
	8	2.08	1.242	8.92	4.21	0.93	27.1	298–973	[59]
	11	1.77	2.693	5.38	1.53	1.83	1.92	100–600	[60]
	19	1.35	1.439	7.15	2.68	1.10	20.4	80–1000	[61]
	1	1.28	2.29	5.60	1.30	0.60	0.14	291	[48]
	4	1.04	2.09	5.92	0.57	1.51	0.71	293–523	[78]
Average	380*	2.25	2.07	7.24	2.87	4.83	12.0
Argon	22	2.37	2.77	7.56	2.17	2.23	2.14	50–973	[26]
	63	2.78	2.25	5.85	2.38	2.98	1.94	90–500	[79]
	28	1.63	1.99	6.96	1.73	1.48	1.06	87–1000	[29]
	19	2.45	2.04	6.46	2.02	1.55	8.98	173–1597	[80]
	1	1.71	0.48	6.00	0.18	0.17	0.02	298	[32]
	8	1.14	2.59	8.39	2.39	0.58	1.47	298–973	[64]
	11	0.88	2.64	8.05	1.96	0.87	0.90	298–473	[33]
	6	1.20	2.92	8.25	2.23	0.97	0.61	298–767	[81]
	9	1.48	3.43	8.85	2.86	1.20	3.30	298–1124	[31]
	8	1.17	3.03	8.45	2.43	0.63	1.54	298–973	[35]
	7	1.21	2.97	8.24	2.36	0.73	1.41	298–973	[65]
	5	0.92	1.99	7.36	1.33	0.95	0.62	298–473	[82]
	5	0.85	1.95	7.36	1.29	0.92	0.60	300–473	[83]
	2	8.16	6.93	11.4	5.32	6.43	7.39	55–90	[84]
	1	2.01	0.12	5.79	0.34	0.31	0.07	273	[85]
	1	3.90	1.56	4.81	1.25	6.76	26.7	1373	[86]
	1	1.98	0.21	5.77	0.41	0.40	0.19	293	[87]
	1	2.99	0.62	5.40	0.89	5.27	12.3	1100	[40–42]
	1	5.90	3.55	3.33	2.25	9.28	80.4	1873	[88]
	9	0.94	2.79	8.22	2.08	0.80	0.49	298–773	[38]
	6	1.18	2.84	8.17	2.16	0.85	0.45	298–770	[89]
	8	0.93	2.68	8.07	1.95	0.93	0.46	298–673	[37]
	21	2.21	0.83	5.73	0.83	0.89	0.39	202–394	[90]
	5	12.8	13.9	17.4	13.6	12.2	11.4	775–1053	[40–42]
	7	12.0	12.7	15.9	12.5	11.7	29.9	775–1838	[76]
	5	3.75	1.70	5.30	1.20	5.79	36.5	569–1838	[91]
	6	5.64	4.66	8.52	3.63	3.25	3.96	72–291	[50]
	2	1.79	0.44	11.2	0.27	0.26	0.11	293–303	[48]
	1	2.19	0.01	5.59	0.60	0.58	0.37	291	[45, 46]
	5	5.22	4.39	8.44	3.36	3.00	3.72	72–291	[77]
	4	2.00	0.48	5.92	0.55	1.08	1.46	293–523	[52]
	2	1.72	0.50	6.00	0.23	0.22	0.09	293–303	[53]
	2	1.90	0.31	5.83	0.37	0.36	0.20	293–303	[47]
	8	2.09	0.49	5.83	0.64	1.10	1.47	293–523	[55]
	46	13.3	13.4	15.0	13.3	13.3	13.3	90–1000	[56]
	124	1.55	2.99	8.44	2.59	0.90	6.64	100–1600	[57]
	68	2.21	1.35	5.62	1.55	2.17	1.04	87–700	[58]
	135	1.53	2.67	7.81	2.21	1.46	1.34	80–1000	[92]
	63	1.60	1.43	6.50	1.13	1.50	0.57	90–500	[93]
	1	1.52	0.66	6.17	0.01	0.00	0.14	300	[94]
	8	1.17	3.04	8.81	2.44	0.64	1.53	298–973	[59]
	11	1.65	1.53	6.50	1.24	1.43	0.56	100–600	[60]
	20	4.41	3.96	8.23	3.19	3.18	3.52	60–1000	[61]
	7	0.85	1.43	7.06	0.82	1.29	2.98	250–1000	[62]
	5	2.19	2.35	7.11	1.97	1.7	1.72	323–523	[95]
	5	0.81	1.48	6.98	0.76	0.58	0.47	298–423	[96]
	4	1.59	1.10	6.34	0.59	0.50	0.38	298–373	[97]
Average	787*	2.75	3.14	7.85	2.84	2.44	3.76
Krypton	29	3.41	6.47	8.26	3.40	4.00	59.7	50–3273	[26]
	6	2.96	4.24	6.53	1.85	1.84	3.40	100–600	[29]
	1	3.90	1.95	4.82	0.83	0.50	0.91	293	[73]
	2	3.40	2.59	5.36	0.58	0.51	1.53	293–300	[30]
	8	1.70	6.11	7.76	2.28	1.88	3.05	298–973	[64]
	6	1.92	5.77	7.54	2.15	1.83	3.18	298–767	[81]
	8	1.89	6.25	7.86	2.51	2.07	3.20	298–973	[65]
	8	1.88	6.07	7.67	2.25	1.83	2.97	298–973	[35]
	9	1.60	6.61	8.20	2.80	2.40	3.27	298–1151	[31]
	9	1.87	5.82	7.53	2.05	1.71	3.10	298–778	[38]
	6	1.98	5.68	7.45	2.06	1.75	3.09	298–770	[89]
	1	5.59	0.36	3.27	2.47	2.13	0.70	293	[67, 68]
	1	5.08	0.84	3.74	1.97	1.64	0.21	293	[66]
	1	5.42	0.52	3.42	2.30	1.95	0.54	293	[76]
	12	2.01	5.43	7.27	1.83	1.57	2.93	298–773	[98]
	4	2.59	3.19	6.23	1.14	1.28	2.56	237–308	[49]
	2	4.93	0.82	3.82	1.96	1.63	0.43	273–293	[52]
	2	3.80	2.13	4.93	0.70	0.37	1.02	273–293	[54]
	2	3.72	2.10	4.40	0.69	0.68	1.10	273–293	[45, 46]
	1	4.34	1.49	3.82	1.27	0.90	0.48	293	[47]
	15	2.54	5.66	7.18	2.0	1.87	5.45	293–1600	[56]
	78	2.12	5.77	7.43	2.06	1.69	2.60	300–1300	[57]
	71	4.64	4.98	7.24	3.83	3.77	4.28	119–950	[58]
	235	2.02	6.98	8.64	3.61	3.57	12.5	80–2000	[92]
	51	8.49	7.44	8.66	7.50	7.45	7.40	125–500	[93]
	8	1.86	6.08	7.69	2.26	1.84	2.99	298–973	[59]
	10	4.62	2.00	4.19	2.0	2.09	0.26	150–600	[60]
	26	1.89	6.29	7.95	3.19	3.20	13.4	140–2000	[61]
Average	612*	3.03	6.18	7.94	3.42	3.32	10.2
	22	5.51	7.31	5.84	2.10	9.51	12.3	50–973	[26]
	6	5.06	6.39	5.33	1.86	6.59	12.0	100–600	[29]
	17	2.09	4.22	4.46	2.18	1.34	6.71	173–797	[80]
	8	3.13	7.60	5.87	1.42	2.11	7.94	298–973	[35]
	9	3.04	7.43	5.86	1.34	2.24	4.06	298–778	[38]
	7	1.24	2.65	3.75	2.51	0.46	5.94	202–298	[90]
	4	3.75	5.22	6.18	2.20	3.08	2.30	237–308	[49]
	3	0.53	2.62	2.99	2.32	0.74	2.90	273–373	[99]
Xenon	2	0.26	2.42	3.24	2.83	0.66	3.45	291	[45, 46]
	9	2.45	6.88	5.27	1.07	1.42	8.06	293–1000	[56]
	41	2.88	7.43	5.61	1.22	1.72	16.1	300–1300	[57]
	67	2.32	5.41	4.68	1.97	1.32	12.0	165–1250	[58]
	130	3.77	6.66	9.69	1.43	3.44	8.68	105–1000	[92]
	47	3.54	5.07	5.27	3.74	3.34	6.56	170–500	[93]
	8	3.11	7.52	5.77	1.60	2.08	7.96	298–973	[59]
	9	1.99	3.64	3.42	3.04	1.80	3.59	200–600	[60]
	14	2.45	5.87	4.93	1.85	1.42	8.25	180–1000	[61]
Average	403*	3.21	6.10	6.57	1.93	2.87	9.44
Overall	2597**	3.09	5.06	6.92	3.15	3.31	9.19

∗Number of data points for each noble gas. ∗∗Total number of data points for all noble gases.