Research Article

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 4

Deviations between experimental and calculated thermal conductivities of pure noble gases.

CompoundNumber of pointsAverage RMSDr in λ (%) (K) Reference
Present studyL-JSimsciRefprop

647.7710.72.943.5270–1000[56]
82.615.160.781.03298–1010[31]
82.334.401.681.32298–973[34]
82.414.421.751.27298–973[36]
275.047.951.091.81275–725[57]
936.109.107.2020.120–1000[58]
82.474.671.300.95298–973[59]
410.213.54.984.16303–363[100]
27.7211.22.351.25303[101]
253.666.211.414.5250–973[26]
64.016.761.191.91100–600[29]
114.957.651.441.95100–600[60]
Helium296.909.602.502.8080–1000[102]
1026.809.504.7012.520–1000[103]
140.410.640.240.31350–1000[104]
67.9411.03.373.18303–589[105]
525.908.605.5017.420–1000[106]
511.014.06.887.20250–600[62]
15.408.760.091.04596[107]
17.2410.31.720.53291[108]
410.413.65.114.19308–363[109]
24.687.321.320.07302–793[110]
16.339.560.920.09311[111]
16.5710.01.200.08302[112]
132.164.391.060.29373–973[63]

Average 495*5.908.593.949.47

81.520.621.072.91298–973[64]
82.501.160.663.87298–973[65]
11.040.541.102.53291[47]
82.741.410.664.11298–973[36]
293.502.530.944.1190–1300[56]
441.360.861.652.40275–1275[57]
1112.832.655.9512.727–1000[58]
82.551.170.763.92298–973[59]
41.673.252.100.84303–363[100]
31.250.761.022.14313–363[113]
Neon222.401.702.404.3650–973[26]
61.811.341.093.25100–600[29]
111.483.032.502.04100–600[60]
152.921.630.534.01273–1100[102]
1112.172.351.594.4827–1500[114]
242.921.411.015.94350–1500[104]
41.392.961.500.37303–318[105]
11.362.901.530.14311[115]
10.201.390.321.73296[107]
11.040.531.112.54291[108]
25.864.274.287.50302–793[110]

Average 422*2.412.082.636.20

212.092.721.071.00202–394[90]
32.153.970.485.0890–273[108]
11.752.954.904.231373[116]
10.144.351.092.98291[47]
91.065.270.531.24298–1124[31]
81.215.110.491.17298–973[64]
81.535.710.660.99298–973[65]
81.485.660.771.09298–973[35]
661.764.501.251.6090–2000[56]
142.256.412.362.57331–645[117]
971.744.980.800.99280–1390[57]
1222.556.171.265.2387–3300[58]
2352.105.971.022.2080–2000[92]
632.743.093.085.0590–500[79]
633.824.803.403.5390–500[93]
81.365.500.541.10298–973[59]
30.774.701.372.70313–363[113]
Argon292.635.642.487.1050–3273[26]
61.924.112.465.20100–600[29]
111.653.371.393.07100–600[60]
542.025.781.072.5580–2000[102]
1181.674.821.212.1488–2500[103]
241.706.200.500.90350–1500[104]
42.733.571.650.77273–593[105]
40.494.150.682.20308–363[118]
31.083.520.211.81300–340[119]
80.794.421.202.51295–420[120]
602.034.951.162.0490–2000[106]
71.413.861.091.43250–1000[62]
11.403.190.251.52311[115]
11.143.410.061.93296[107]
40.504.150.672.20308–363[109]
23.107.102.402.70302–793[110]
11.403.200.251.52311[111]
221.464.210.843.3187–1000[29]

Average 1089*2.115.221.312.82

Krypton91.9014.80.822.93298–1149[31]
81.8014.80.883.10298–973[64]
81.6515.11.243.44298–973[65]
183.2019.54.186.57125–1300[56]
54.8810.61.940.94291–318[57]
1012.3314.01.713.19119–1900[58]
63.1213.42.253.45100–600[26]
2352.6015.52.504.5080–2000[92]
512.5012.50.962.50125–500[93]
81.7514.91.103.28298–973[59]
30.8115.53.685.50313–363[113]
273.5014.62.707.7450–2273[26]
104.6210.82.460.64150–600[60]
1095.8014.45.336.25120–2000[114]
243.0015.92.503.50350–1500[104]
55.769.802.670.78303–318[105]
44.2411.31.351.06308–363[118]
14.3811.01.300.65311[115]
14.1610.91.170.81291[108]
44.2111.31.341.11308–363[109]
24.0617.45.036.98302–793[110]

Average 639*3.2214.72.704.35

71.2914.29.682.32202–298[90]
83.2814.22.651.43298–973[35]
247.3017.71.024.55175–1300[56]
13.5312.70.601.95291[57]
13.3612.60.771.78291[108]
1345.3615.75.8010.1165–5000[58]
2304.8715.34.831.96105–2000[92]
473.3312.02.100.71170–500[93]
83.2914.22.641.43298–973[59]
43.3913.10.572.48303–363[100]
Xenon 38.3517.64.757.55313–363[113]
295.8414.98.182.9050–3273[26]
65.5012.85.962.82100–600[29]
91.4611.23.600.92200–600[60]
956.4016.71.743.93165–1500[114]
248.0019.01.205.10350–1500[104]
64.207.607.875.20303–318[105]
675.6416.15.9710.2165–5000[106]
29.0019.03.907.01302–793[110]
10.809.104.952.06311[111]
17.3016.33.436.00302[112]

Average 707*5.2615.44.394.76

Overall 3352**3.599.282.784.93

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