Erbium 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 | 9.77E-01 | 9.76E-01 | 9.64E-01 | 8.57E-01 | 4.15E-01 | 7.34E-02 | 1.03E-02 | 2.12E-03 | 1.12E-03 | 4.52E-03 | 2.00E+00 | 2.00E+00 | 8.00E+00 |
| 1.0 | 1.40E+00 | 1.42E+00 | 1.75E+00 | 1.78E+00 | 1.37E+00 | 1.05E+00 | 9.03E-01 | 5.41E-01 | 2.00E-01 | 1.31E-01 | 2.00E+00 | 2.00E+00 | 8.00E+00 |
| 1.5 | 1.98E+00 | 1.98E+00 | 1.99E+00 | 1.99E+00 | 1.97E+00 | 1.77E+00 | 1.27E+00 | 1.00E+00 | 7.69E-01 | 4.98E-01 | 1.15E+00 | 2.00E+00 | 8.00E+00 |
| 2.0 | 2.00E+00 | 2.00E+00 | 2.00E+00 | 2.00E+00 | 1.99E+00 | 1.95E+00 | 1.70E+00 | 1.23E+00 | 9.95E-01 | 7.82E-01 | 1.21E+00 | 2.00E+00 | 8.00E+00 |
| 5.0 | 2.28E+00 | 2.29E+00 | 2.34E+00 | 2.58E+00 | 2.77E+00 | 2.77E+00 | 2.50E+00 | 1.99E+00 | 1.55E+00 | 1.25E+00 | 1.49E+00 | 2.01E+00 | 8.04E+00 |
| 7.0 | 3.07E+00 | 3.08E+00 | 3.16E+00 | 3.48E+00 | 3.85E+00 | 3.86E+00 | 3.68E+00 | 2.92E+00 | 1.96E+00 | 1.41E+00 | 1.63E+00 | 2.03E+00 | 8.21E+00 |
| 10.0 | 6.96E+00 | 6.96E+00 | 6.96E+00 | 6.96E+00 | 6.96E+00 | 6.87E+00 | 6.41E+00 | 5.22E+00 | 3.21E+00 | 1.81E+00 | 1.85E+00 | 2.08E+00 | 8.96E+00 |
| 15.0 | 7.02E+00 | 7.02E+00 | 7.02E+00 | 7.02E+00 | 7.02E+00 | 7.04E+00 | 7.66E+00 | 9.60E+00 | 6.46E+00 | 3.59E+00 | 2.65E+00 | 2.40E+00 | 1.08E+01 |
| 23.0 | 7.44E+00 | 7.44E+00 | 7.44E+00 | 7.47E+00 | 7.69E+00 | 9.07E+00 | 1.16E+01 | 1.23E+01 | 1.19E+01 | 1.06E+01 | 4.46E+00 | 3.26E+00 | 1.21E+01 |
| 32.0 | 8.12E+00 | 8.12E+00 | 8.14E+00 | 8.27E+00 | 8.75E+00 | 1.12E+01 | 1.27E+01 | 1.40E+01 | 1.44E+01 | 1.31E+01 | 1.16E+01 | 7.63E+00 | 1.31E+01 |
| 52.0 | 9.42E+00 | 9.43E+00 | 9.45E+00 | 9.62E+00 | 1.09E+01 | 1.27E+01 | 1.44E+01 | 1.63E+01 | 1.77E+01 | 1.76E+01 | 1.56E+01 | 1.41E+01 | 1.54E+01 |
| 74.0 | 1.22E+01 | 1.22E+01 | 1.23E+01 | 1.23E+01 | 1.28E+01 | 1.38E+01 | 1.57E+01 | 1.79E+01 | 2.00E+01 | 2.05E+01 | 1.91E+01 | 1.71E+01 | 1.82E+01 |
| 100.0 | 1.41E+01 | 1.41E+01 | 1.41E+01 | 1.41E+01 | 1.43E+01 | 1.50E+01 | 1.68E+01 | 1.92E+01 | 2.11E+01 | 2.17E+01 | 2.11E+01 | 1.96E+01 | 1.90E+01 |
| 165.0 | 1.71E+01 | 1.71E+01 | 1.71E+01 | 1.71E+01 | 1.71E+01 | 1.75E+01 | 1.89E+01 | 2.10E+01 | 2.21E+01 | 2.50E+01 | 2.72E+01 | 2.44E+01 | 2.13E+01 |
| 235.0 | 1.94E+01 | 1.94E+01 | 1.94E+01 | 1.94E+01 | 1.94E+01 | 1.96E+01 | 2.05E+01 | 2.17E+01 | 2.36E+01 | 2.78E+01 | 3.08E+01 | 2.95E+01 | 2.58E+01 |
| 310.0 | 2.08E+01 | 2.08E+01 | 2.08E+01 | 2.08E+01 | 2.09E+01 | 2.09E+01 | 2.14E+01 | 2.24E+01 | 2.54E+01 | 3.00E+01 | 3.32E+01 | 3.29E+01 | 2.92E+01 |
| 390.0 | 2.18E+01 | 2.18E+01 | 2.18E+01 | 2.18E+01 | 2.18E+01 | 2.19E+01 | 2.21E+01 | 2.33E+01 | 2.71E+01 | 3.13E+01 | 3.59E+01 | 3.65E+01 | 3.21E+01 |
| 475.0 | 2.29E+01 | 2.29E+01 | 2.29E+01 | 2.29E+01 | 2.29E+01 | 2.29E+01 | 2.32E+01 | 2.47E+01 | 2.87E+01 | 3.25E+01 | 3.76E+01 | 3.88E+01 | 3.47E+01 |
| 655.0 | 2.76E+01 | 2.76E+01 | 2.76E+01 | 2.76E+01 | 2.76E+01 | 2.76E+01 | 2.78E+01 | 2.91E+01 | 3.21E+01 | 3.60E+01 | 3.88E+01 | 4.26E+01 | 4.31E+01 |
| 845.0 | 3.54E+01 | 3.54E+01 | 3.54E+01 | 3.54E+01 | 3.54E+01 | 3.55E+01 | 3.55E+01 | 3.57E+01 | 3.67E+01 | 3.81E+01 | 3.99E+01 | 4.46E+01 | 4.62E+01 |
| 1000.0 | 3.80E+01 | 3.80E+01 | 3.80E+01 | 3.80E+01 | 3.80E+01 | 3.80E+01 | 3.80E+01 | 3.81E+01 | 3.82E+01 | 3.87E+01 | 4.07E+01 | 4.58E+01 | 4.80E+01 |
| 1441.0 | 3.92E+01 | 3.92E+01 | 3.92E+01 | 3.92E+01 | 3.92E+01 | 3.92E+01 | 3.92E+01 | 3.92E+01 | 3.92E+01 | 3.96E+01 | 4.22E+01 | 4.81E+01 | 5.13E+01 |
| 1925.0 | 3.96E+01 | 3.96E+01 | 3.96E+01 | 3.96E+01 | 3.96E+01 | 3.96E+01 | 3.96E+01 | 3.96E+01 | 3.97E+01 | 4.04E+01 | 4.35E+01 | 4.97E+01 | 5.31E+01 |
| 2454.0 | 4.00E+01 | 4.00E+01 | 4.00E+01 | 4.00E+01 | 4.00E+01 | 4.00E+01 | 4.00E+01 | 4.00E+01 | 4.02E+01 | 4.12E+01 | 4.49E+01 | 5.11E+01 | 5.42E+01 |
| 3030.0 | 4.06E+01 | 4.06E+01 | 4.06E+01 | 4.06E+01 | 4.06E+01 | 4.06E+01 | 4.06E+01 | 4.06E+01 | 4.08E+01 | 4.21E+01 | 4.63E+01 | 5.24E+01 | 5.51E+01 |
| 3655.0 | 4.15E+01 | 4.15E+01 | 4.15E+01 | 4.15E+01 | 4.15E+01 | 4.15E+01 | 4.15E+01 | 4.15E+01 | 4.18E+01 | 4.33E+01 | 4.78E+01 | 5.34E+01 | 5.57E+01 |
| 4331.0 | 4.31E+01 | 4.31E+01 | 4.31E+01 | 4.31E+01 | 4.31E+01 | 4.31E+01 | 4.31E+01 | 4.32E+01 | 4.35E+01 | 4.49E+01 | 4.92E+01 | 5.43E+01 | 5.63E+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 | 4.59E+01 | 4.71E+01 | 5.08E+01 | 5.50E+01 | 5.68E+01 |
| 5844.0 | 4.85E+01 | 4.85E+01 | 4.85E+01 | 4.85E+01 | 4.85E+01 | 4.85E+01 | 4.85E+01 | 4.86E+01 | 4.87E+01 | 4.95E+01 | 5.24E+01 | 5.55E+01 | 5.72E+01 |
| 6685.0 | 5.13E+01 | 5.13E+01 | 5.13E+01 | 5.13E+01 | 5.13E+01 | 5.13E+01 | 5.13E+01 | 5.13E+01 | 5.14E+01 | 5.19E+01 | 5.37E+01 | 5.60E+01 | 5.77E+01 |
| 7585.0 | 5.34E+01 | 5.34E+01 | 5.34E+01 | 5.34E+01 | 5.34E+01 | 5.34E+01 | 5.34E+01 | 5.34E+01 | 5.35E+01 | 5.37E+01 | 5.48E+01 | 5.64E+01 | 5.81E+01 |
| 8546.0 | 5.48E+01 | 5.48E+01 | 5.48E+01 | 5.48E+01 | 5.48E+01 | 5.48E+01 | 5.48E+01 | 5.48E+01 | 5.48E+01 | 5.49E+01 | 5.55E+01 | 5.68E+01 | 5.85E+01 |
| 10000.0 | 5.59E+01 | 5.59E+01 | 5.59E+01 | 5.59E+01 | 5.59E+01 | 5.59E+01 | 5.59E+01 | 5.59E+01 | 5.60E+01 | 5.60E+01 | 5.63E+01 | 5.72E+01 | 5.92E+01 |
| 20000.0 | 5.90E+01 | 5.90E+01 | 5.90E+01 | 5.90E+01 | 5.90E+01 | 5.90E+01 | 5.90E+01 | 5.90E+01 | 5.90E+01 | 5.90E+01 | 5.92E+01 | 6.00E+01 | 6.19E+01 |
| 50000.0 | 6.33E+01 | 6.33E+01 | 6.33E+01 | 6.33E+01 | 6.33E+01 | 6.33E+01 | 6.33E+01 | 6.33E+01 | 6.32E+01 | 6.32E+01 | 6.32E+01 | 6.33E+01 | 6.38E+01 |
| 100000.0 | 6.47E+01 | 6.47E+01 | 6.47E+01 | 6.47E+01 | 6.47E+01 | 6.47E+01 | 6.47E+01 | 6.47E+01 | 6.46E+01 | 6.44E+01 | 6.44E+01 | 6.44E+01 | 6.47E+01 |