Cerium Average Charge States by FLYCHK calculations
Steady-State Average Charge States are tabulated
Electron Density Grid : 1012 cm-3 - 1024 cm-3 : Electron Temperature Grid : 0.5 eV - 105 eV
FLYCHK calculations are known to give better results for highly ionized plasmas and intermediate electron densities.
For very low Ne, FLYCHK overestimates the meta-stable state population which may affect <Z>.
For very high Ne, FLYCHK may give inadequate results due to simple continuum lowering model and lack of degenerate states.
| Te\ Ne | 1012 | 1013 | 1014 | 1015 | 1016 | 1017 | 1018 | 1019 | 1020 | 1021 | 1022 | 1023 | 1024 |
| 0.5 | 1.05E+00 | 1.05E+00 | 1.04E+00 | 1.02E+00 | 9.96E-01 | 9.46E-01 | 7.05E-01 | 3.26E-01 | 2.03E-01 | 5.33E-01 | 2.00E+00 | 2.00E+00 | 1.20E+01 |
| 1.0 | 2.00E+00 | 2.00E+00 | 2.00E+00 | 2.00E+00 | 1.99E+00 | 1.95E+00 | 1.73E+00 | 1.32E+00 | 1.11E+00 | 1.20E+00 | 2.00E+00 | 2.01E+00 | 1.20E+01 |
| 1.5 | 2.00E+00 | 2.00E+00 | 2.00E+00 | 2.00E+00 | 2.00E+00 | 2.00E+00 | 1.99E+00 | 1.95E+00 | 1.82E+00 | 1.75E+00 | 2.00E+00 | 2.06E+00 | 1.20E+01 |
| 2.0 | 2.00E+00 | 2.00E+00 | 2.00E+00 | 2.01E+00 | 2.02E+00 | 2.01E+00 | 2.00E+00 | 1.99E+00 | 1.96E+00 | 1.91E+00 | 2.00E+00 | 2.14E+00 | 1.20E+01 |
| 5.0 | 2.62E+00 | 2.88E+00 | 3.07E+00 | 3.43E+00 | 3.99E+00 | 4.55E+00 | 4.33E+00 | 3.31E+00 | 2.37E+00 | 2.10E+00 | 2.07E+00 | 3.06E+00 | 1.20E+01 |
| 7.0 | 3.38E+00 | 3.45E+00 | 3.66E+00 | 4.00E+00 | 4.80E+00 | 5.72E+00 | 5.89E+00 | 5.02E+00 | 3.69E+00 | 2.68E+00 | 2.34E+00 | 3.84E+00 | 1.20E+01 |
| 10.0 | 4.24E+00 | 4.25E+00 | 4.33E+00 | 4.67E+00 | 5.72E+00 | 6.97E+00 | 7.55E+00 | 7.02E+00 | 5.66E+00 | 4.33E+00 | 3.46E+00 | 4.98E+00 | 1.20E+01 |
| 15.0 | 5.59E+00 | 5.60E+00 | 5.63E+00 | 5.93E+00 | 7.13E+00 | 8.00E+00 | 9.59E+00 | 1.00E+01 | 8.39E+00 | 6.46E+00 | 5.55E+00 | 6.67E+00 | 1.20E+01 |
| 23.0 | 7.42E+00 | 7.42E+00 | 7.45E+00 | 7.65E+00 | 8.14E+00 | 9.81E+00 | 1.17E+01 | 1.18E+01 | 1.12E+01 | 9.93E+00 | 8.52E+00 | 8.78E+00 | 1.20E+01 |
| 32.0 | 8.73E+00 | 8.74E+00 | 8.75E+00 | 8.85E+00 | 9.55E+00 | 1.13E+01 | 1.19E+01 | 1.20E+01 | 1.20E+01 | 1.10E+01 | 1.00E+01 | 9.62E+00 | 1.20E+01 |
| 52.0 | 1.15E+01 | 1.15E+01 | 1.15E+01 | 1.15E+01 | 1.16E+01 | 1.18E+01 | 1.21E+01 | 1.33E+01 | 1.49E+01 | 1.47E+01 | 1.22E+01 | 1.09E+01 | 1.23E+01 |
| 74.0 | 1.20E+01 | 1.20E+01 | 1.20E+01 | 1.20E+01 | 1.20E+01 | 1.22E+01 | 1.28E+01 | 1.48E+01 | 1.72E+01 | 1.84E+01 | 1.61E+01 | 1.33E+01 | 1.30E+01 |
| 100.0 | 1.25E+01 | 1.25E+01 | 1.25E+01 | 1.25E+01 | 1.26E+01 | 1.28E+01 | 1.39E+01 | 1.63E+01 | 1.91E+01 | 2.09E+01 | 1.97E+01 | 1.66E+01 | 1.48E+01 |
| 165.0 | 1.48E+01 | 1.48E+01 | 1.48E+01 | 1.48E+01 | 1.49E+01 | 1.51E+01 | 1.63E+01 | 1.89E+01 | 2.16E+01 | 2.38E+01 | 2.45E+01 | 2.18E+01 | 1.99E+01 |
| 235.0 | 1.78E+01 | 1.78E+01 | 1.78E+01 | 1.78E+01 | 1.78E+01 | 1.79E+01 | 1.88E+01 | 2.11E+01 | 2.35E+01 | 2.62E+01 | 2.75E+01 | 2.58E+01 | 2.21E+01 |
| 310.0 | 2.21E+01 | 2.21E+01 | 2.21E+01 | 2.21E+01 | 2.21E+01 | 2.22E+01 | 2.25E+01 | 2.38E+01 | 2.59E+01 | 2.79E+01 | 3.07E+01 | 3.16E+01 | 2.51E+01 |
| 390.0 | 2.65E+01 | 2.65E+01 | 2.65E+01 | 2.65E+01 | 2.65E+01 | 2.65E+01 | 2.66E+01 | 2.69E+01 | 2.78E+01 | 2.89E+01 | 3.22E+01 | 3.43E+01 | 3.25E+01 |
| 475.0 | 2.83E+01 | 2.83E+01 | 2.83E+01 | 2.83E+01 | 2.83E+01 | 2.84E+01 | 2.84E+01 | 2.84E+01 | 2.87E+01 | 2.98E+01 | 3.33E+01 | 3.64E+01 | 3.51E+01 |
| 655.0 | 2.93E+01 | 2.93E+01 | 2.93E+01 | 2.93E+01 | 2.93E+01 | 2.93E+01 | 2.93E+01 | 2.93E+01 | 2.95E+01 | 3.12E+01 | 3.52E+01 | 3.91E+01 | 3.88E+01 |
| 845.0 | 2.96E+01 | 2.96E+01 | 2.96E+01 | 2.96E+01 | 2.96E+01 | 2.96E+01 | 2.96E+01 | 2.97E+01 | 3.01E+01 | 3.24E+01 | 3.66E+01 | 4.09E+01 | 4.15E+01 |
| 1000.0 | 2.98E+01 | 2.98E+01 | 2.98E+01 | 2.98E+01 | 2.98E+01 | 2.98E+01 | 2.98E+01 | 2.99E+01 | 3.05E+01 | 3.32E+01 | 3.75E+01 | 4.21E+01 | 4.30E+01 |
| 1441.0 | 3.05E+01 | 3.05E+01 | 3.05E+01 | 3.05E+01 | 3.05E+01 | 3.05E+01 | 3.06E+01 | 3.07E+01 | 3.18E+01 | 3.49E+01 | 3.94E+01 | 4.41E+01 | 4.51E+01 |
| 1925.0 | 3.19E+01 | 3.19E+01 | 3.19E+01 | 3.19E+01 | 3.19E+01 | 3.19E+01 | 3.19E+01 | 3.21E+01 | 3.34E+01 | 3.65E+01 | 4.11E+01 | 4.52E+01 | 4.62E+01 |
| 2454.0 | 3.42E+01 | 3.42E+01 | 3.42E+01 | 3.42E+01 | 3.42E+01 | 3.42E+01 | 3.42E+01 | 3.44E+01 | 3.55E+01 | 3.82E+01 | 4.28E+01 | 4.60E+01 | 4.72E+01 |
| 3030.0 | 3.74E+01 | 3.74E+01 | 3.74E+01 | 3.74E+01 | 3.74E+01 | 3.74E+01 | 3.74E+01 | 3.75E+01 | 3.81E+01 | 4.03E+01 | 4.43E+01 | 4.65E+01 | 4.81E+01 |
| 3655.0 | 4.10E+01 | 4.10E+01 | 4.10E+01 | 4.10E+01 | 4.10E+01 | 4.10E+01 | 4.10E+01 | 4.10E+01 | 4.13E+01 | 4.28E+01 | 4.54E+01 | 4.70E+01 | 4.88E+01 |
| 4331.0 | 4.40E+01 | 4.40E+01 | 4.40E+01 | 4.40E+01 | 4.40E+01 | 4.40E+01 | 4.40E+01 | 4.40E+01 | 4.41E+01 | 4.47E+01 | 4.61E+01 | 4.73E+01 | 4.95E+01 |
| 5060.0 | 4.56E+01 | 4.56E+01 | 4.56E+01 | 4.56E+01 | 4.56E+01 | 4.56E+01 | 4.56E+01 | 4.56E+01 | 4.57E+01 | 4.59E+01 | 4.66E+01 | 4.77E+01 | 5.02E+01 |
| 5844.0 | 4.64E+01 | 4.64E+01 | 4.64E+01 | 4.64E+01 | 4.64E+01 | 4.64E+01 | 4.64E+01 | 4.64E+01 | 4.65E+01 | 4.66E+01 | 4.70E+01 | 4.81E+01 | 5.07E+01 |
| 6685.0 | 4.70E+01 | 4.70E+01 | 4.70E+01 | 4.70E+01 | 4.70E+01 | 4.70E+01 | 4.70E+01 | 4.70E+01 | 4.70E+01 | 4.70E+01 | 4.74E+01 | 4.85E+01 | 5.12E+01 |
| 7585.0 | 4.74E+01 | 4.74E+01 | 4.74E+01 | 4.74E+01 | 4.74E+01 | 4.74E+01 | 4.74E+01 | 4.74E+01 | 4.74E+01 | 4.74E+01 | 4.77E+01 | 4.90E+01 | 5.17E+01 |
| 8546.0 | 4.77E+01 | 4.77E+01 | 4.77E+01 | 4.77E+01 | 4.77E+01 | 4.77E+01 | 4.77E+01 | 4.77E+01 | 4.77E+01 | 4.78E+01 | 4.81E+01 | 4.95E+01 | 5.21E+01 |
| 10000.0 | 4.83E+01 | 4.83E+01 | 4.83E+01 | 4.83E+01 | 4.83E+01 | 4.83E+01 | 4.83E+01 | 4.83E+01 | 4.83E+01 | 4.83E+01 | 4.87E+01 | 5.03E+01 | 5.26E+01 |
| 20000.0 | 5.22E+01 | 5.22E+01 | 5.22E+01 | 5.22E+01 | 5.22E+01 | 5.22E+01 | 5.22E+01 | 5.22E+01 | 5.22E+01 | 5.22E+01 | 5.24E+01 | 5.31E+01 | 5.40E+01 |
| 50000.0 | 5.49E+01 | 5.49E+01 | 5.49E+01 | 5.49E+01 | 5.49E+01 | 5.49E+01 | 5.49E+01 | 5.49E+01 | 5.48E+01 | 5.46E+01 | 5.46E+01 | 5.47E+01 | 5.52E+01 |
| 100000.0 | 5.58E+01 | 5.58E+01 | 5.58E+01 | 5.58E+01 | 5.58E+01 | 5.58E+01 | 5.58E+01 | 5.58E+01 | 5.57E+01 | 5.57E+01 | 5.56E+01 | 5.57E+01 | 5.59E+01 |