Revised Variable Soft Sphere and Lennard-Jones Model Parameters for Eight Common Gases up to 2200 K

Authors: Andrew Weaver and Alina Alexeenko

Revised parameters for variable soft sphere (VSS) and Lennard-Jones (L-J) (6-12) models are presented for 8 common gases in the temperature range 20-2200 K. The new parameters are based on a critical review of experimental measurements and ab-initio calculations of shear viscosity and self-diffusion coefficients. The optimized parameters are assessed relative to experimental measurements and ab-initio calculations of thermal conductivity. Results indicate most significant improvements for the VSS model occur when considering lighter gases where repulsive forces are more important. The agreement with transport property measurements for He gas extends to much higher temperatures using the revised parameters. The accuracy of the L-J model is more significantly improved when considering the heavier gases for which attractive forces are important over a wider temperature range.

Table 1: Recommended VSS Model Parameters for 8 Common Gases in Temperature Range 20-2200 K

Interaction

H2-H2

He-He

Ne-Ne

N2-N2

O2-O2

Ar-Ar

Kr-Kr

Xe-Xe

T Range (K)

20-2200

140-2000

80-2200

50-2200

50-2200

90-2200

140-2000

180-2000

2.9016

2.2980

2.4840

3.8705

3.8631

3.5645

4.0957

4.4165

0.689

0.712

0.675

0.686

0.7154

0.697

0.7344

0.7407

1.370

1.429

1.331

1.365

1.2929

1.311

1.312

1.336

296

350

823.15

353.15

298.15

523.15

473.15

723.15

8.86

22.13

64.96

20.24

20.53

35.07

37.87

50.67

1.37

1.39

1.35

1.37

1.31

1.33

1.31

1.33

(%)

0.05

0.0066

0.0069

0.46

0.42

0.38

0.22

0.36

Table 2: Recommended L-J Model Parameters for 8 Common Gases in Temperature Range 20-2200 K

Interaction

H2-H2

He-He

Ne-Ne

N2-N2

O2-O2

Ar-Ar

Kr-Kr

Xe-Xe

T Range (K)

20-1000

140-1000

80-2200

50-2200

50-2000

90-2200

140-2000

180-1500

63.997

9.8725

75.748

84.942

121.74

143.78

207.44

262.68

2.7828

2.5238

2.6016

3.7047

3.3920

3.3237

3.5160

3.903

(%)

0.38

0.12

0.05

0.02

0.0056

0.14

0.0076

0.0038

Supplemental Data:

  • The zip file contains 8 files of transport property calculations corresponding to each of the 8 gases:
    • H2-H2.txt
    • He-He.txt
    • Ne-Ne.txt
    • N2-N2.txt
    • O2-O2.txt
    • Ar-Ar.txt
    • Kr-Kr.txt
    • Xe-Xe.txt

How to Cite:

Weaver, A.B. and Alexeenko, A.A., "Revised Variable Soft Sphere and Lennard-Jones Model Parameters for Eight Common Gases up to 2200 K," J. Phys. Chem. Ref. Data, Vol. 44, No. 2, 2015, pp. 023103.