Gadolinium 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 | 1.81E-01 | 1.07E-01 | 3.84E-02 | 3.43E-02 | 3.17E-02 | 1.37E-02 | 2.55E-03 | 5.40E-04 | 2.86E-04 | 1.16E-03 | 2.00E+00 | 3.00E+00 | 9.00E+00 |
| 1.0 | 1.94E+00 | 1.98E+00 | 1.96E+00 | 1.75E+00 | 1.23E+00 | 8.99E-01 | 4.51E-01 | 1.05E-01 | 2.54E-02 | 1.67E-02 | 2.00E+00 | 3.00E+00 | 9.00E+00 |
| 1.5 | 2.02E+00 | 2.02E+00 | 2.04E+00 | 2.17E+00 | 2.07E+00 | 1.74E+00 | 1.06E+00 | 3.87E-01 | 9.47E-02 | 3.86E-02 | 1.06E+00 | 3.00E+00 | 9.00E+00 |
| 2.0 | 2.23E+00 | 2.25E+00 | 2.44E+00 | 2.84E+00 | 2.78E+00 | 2.32E+00 | 1.73E+00 | 8.05E-01 | 1.90E-01 | 6.17E-02 | 1.09E+00 | 3.00E+00 | 9.00E+00 |
| 5.0 | 2.84E+00 | 2.84E+00 | 2.89E+00 | 2.99E+00 | 3.00E+00 | 3.05E+00 | 3.00E+00 | 2.71E+00 | 1.76E+00 | 4.15E-01 | 1.33E+00 | 3.00E+00 | 9.01E+00 |
| 7.0 | 3.01E+00 | 3.01E+00 | 3.04E+00 | 3.25E+00 | 4.30E+00 | 5.42E+00 | 5.71E+00 | 4.52E+00 | 2.61E+00 | 1.08E+00 | 1.53E+00 | 3.01E+00 | 9.05E+00 |
| 10.0 | 3.84E+00 | 3.91E+00 | 4.34E+00 | 4.90E+00 | 5.49E+00 | 6.75E+00 | 7.34E+00 | 6.87E+00 | 5.60E+00 | 4.20E+00 | 2.25E+00 | 3.29E+00 | 9.16E+00 |
| 15.0 | 5.12E+00 | 5.15E+00 | 5.27E+00 | 5.53E+00 | 6.70E+00 | 8.14E+00 | 8.89E+00 | 9.04E+00 | 7.94E+00 | 6.70E+00 | 5.78E+00 | 7.09E+00 | 9.61E+00 |
| 23.0 | 6.69E+00 | 6.69E+00 | 6.73E+00 | 7.02E+00 | 8.28E+00 | 9.27E+00 | 1.14E+01 | 1.24E+01 | 1.19E+01 | 1.02E+01 | 8.23E+00 | 7.80E+00 | 1.11E+01 |
| 32.0 | 8.35E+00 | 8.35E+00 | 8.37E+00 | 8.57E+00 | 9.23E+00 | 1.07E+01 | 1.28E+01 | 1.41E+01 | 1.44E+01 | 1.30E+01 | 1.13E+01 | 1.04E+01 | 1.25E+01 |
| 52.0 | 1.05E+01 | 1.05E+01 | 1.05E+01 | 1.06E+01 | 1.12E+01 | 1.27E+01 | 1.45E+01 | 1.63E+01 | 1.72E+01 | 1.66E+01 | 1.52E+01 | 1.36E+01 | 1.47E+01 |
| 74.0 | 1.28E+01 | 1.28E+01 | 1.28E+01 | 1.28E+01 | 1.31E+01 | 1.40E+01 | 1.57E+01 | 1.73E+01 | 1.79E+01 | 1.84E+01 | 1.70E+01 | 1.58E+01 | 1.65E+01 |
| 100.0 | 1.44E+01 | 1.44E+01 | 1.44E+01 | 1.44E+01 | 1.46E+01 | 1.52E+01 | 1.67E+01 | 1.77E+01 | 1.88E+01 | 2.10E+01 | 2.02E+01 | 1.73E+01 | 1.80E+01 |
| 165.0 | 1.69E+01 | 1.69E+01 | 1.69E+01 | 1.69E+01 | 1.70E+01 | 1.72E+01 | 1.77E+01 | 1.87E+01 | 2.17E+01 | 2.52E+01 | 2.65E+01 | 2.38E+01 | 2.03E+01 |
| 235.0 | 1.80E+01 | 1.80E+01 | 1.80E+01 | 1.80E+01 | 1.80E+01 | 1.81E+01 | 1.85E+01 | 2.02E+01 | 2.40E+01 | 2.74E+01 | 3.01E+01 | 2.80E+01 | 2.47E+01 |
| 310.0 | 1.92E+01 | 1.92E+01 | 1.92E+01 | 1.92E+01 | 1.92E+01 | 1.93E+01 | 1.97E+01 | 2.20E+01 | 2.59E+01 | 2.91E+01 | 3.34E+01 | 3.19E+01 | 2.77E+01 |
| 390.0 | 2.12E+01 | 2.12E+01 | 2.12E+01 | 2.12E+01 | 2.12E+01 | 2.13E+01 | 2.18E+01 | 2.39E+01 | 2.74E+01 | 3.12E+01 | 3.45E+01 | 3.55E+01 | 3.04E+01 |
| 475.0 | 2.45E+01 | 2.45E+01 | 2.45E+01 | 2.45E+01 | 2.45E+01 | 2.45E+01 | 2.49E+01 | 2.65E+01 | 2.93E+01 | 3.32E+01 | 3.54E+01 | 3.83E+01 | 3.51E+01 |
| 655.0 | 3.30E+01 | 3.30E+01 | 3.30E+01 | 3.30E+01 | 3.30E+01 | 3.30E+01 | 3.30E+01 | 3.32E+01 | 3.38E+01 | 3.47E+01 | 3.71E+01 | 4.13E+01 | 4.16E+01 |
| 845.0 | 3.48E+01 | 3.48E+01 | 3.48E+01 | 3.48E+01 | 3.48E+01 | 3.48E+01 | 3.48E+01 | 3.48E+01 | 3.49E+01 | 3.54E+01 | 3.83E+01 | 4.33E+01 | 4.44E+01 |
| 1000.0 | 3.52E+01 | 3.52E+01 | 3.52E+01 | 3.52E+01 | 3.52E+01 | 3.52E+01 | 3.52E+01 | 3.52E+01 | 3.52E+01 | 3.58E+01 | 3.90E+01 | 4.44E+01 | 4.60E+01 |
| 1441.0 | 3.57E+01 | 3.57E+01 | 3.57E+01 | 3.57E+01 | 3.57E+01 | 3.57E+01 | 3.57E+01 | 3.57E+01 | 3.58E+01 | 3.71E+01 | 4.08E+01 | 4.65E+01 | 4.90E+01 |
| 1925.0 | 3.61E+01 | 3.61E+01 | 3.61E+01 | 3.61E+01 | 3.61E+01 | 3.61E+01 | 3.61E+01 | 3.61E+01 | 3.64E+01 | 3.82E+01 | 4.25E+01 | 4.82E+01 | 5.05E+01 |
| 2454.0 | 3.68E+01 | 3.68E+01 | 3.68E+01 | 3.68E+01 | 3.68E+01 | 3.68E+01 | 3.68E+01 | 3.68E+01 | 3.73E+01 | 3.93E+01 | 4.40E+01 | 4.95E+01 | 5.15E+01 |
| 3030.0 | 3.80E+01 | 3.80E+01 | 3.80E+01 | 3.80E+01 | 3.80E+01 | 3.80E+01 | 3.80E+01 | 3.81E+01 | 3.86E+01 | 4.07E+01 | 4.55E+01 | 5.05E+01 | 5.22E+01 |
| 3655.0 | 4.01E+01 | 4.01E+01 | 4.01E+01 | 4.01E+01 | 4.01E+01 | 4.01E+01 | 4.01E+01 | 4.02E+01 | 4.06E+01 | 4.25E+01 | 4.70E+01 | 5.13E+01 | 5.28E+01 |
| 4331.0 | 4.29E+01 | 4.29E+01 | 4.29E+01 | 4.29E+01 | 4.29E+01 | 4.29E+01 | 4.30E+01 | 4.30E+01 | 4.33E+01 | 4.47E+01 | 4.86E+01 | 5.18E+01 | 5.34E+01 |
| 5060.0 | 4.61E+01 | 4.61E+01 | 4.61E+01 | 4.61E+01 | 4.61E+01 | 4.61E+01 | 4.61E+01 | 4.61E+01 | 4.63E+01 | 4.72E+01 | 5.00E+01 | 5.23E+01 | 5.39E+01 |
| 5844.0 | 4.89E+01 | 4.89E+01 | 4.89E+01 | 4.89E+01 | 4.89E+01 | 4.89E+01 | 4.89E+01 | 4.89E+01 | 4.90E+01 | 4.95E+01 | 5.10E+01 | 5.27E+01 | 5.44E+01 |
| 6685.0 | 5.07E+01 | 5.07E+01 | 5.07E+01 | 5.07E+01 | 5.07E+01 | 5.07E+01 | 5.07E+01 | 5.07E+01 | 5.07E+01 | 5.09E+01 | 5.18E+01 | 5.30E+01 | 5.49E+01 |
| 7585.0 | 5.17E+01 | 5.17E+01 | 5.17E+01 | 5.17E+01 | 5.17E+01 | 5.17E+01 | 5.17E+01 | 5.17E+01 | 5.17E+01 | 5.18E+01 | 5.23E+01 | 5.34E+01 | 5.55E+01 |
| 8546.0 | 5.24E+01 | 5.24E+01 | 5.24E+01 | 5.24E+01 | 5.24E+01 | 5.24E+01 | 5.24E+01 | 5.24E+01 | 5.24E+01 | 5.25E+01 | 5.28E+01 | 5.37E+01 | 5.60E+01 |
| 10000.0 | 5.30E+01 | 5.30E+01 | 5.30E+01 | 5.30E+01 | 5.30E+01 | 5.30E+01 | 5.30E+01 | 5.30E+01 | 5.30E+01 | 5.31E+01 | 5.33E+01 | 5.42E+01 | 5.66E+01 |
| 20000.0 | 5.62E+01 | 5.62E+01 | 5.62E+01 | 5.62E+01 | 5.62E+01 | 5.62E+01 | 5.62E+01 | 5.62E+01 | 5.62E+01 | 5.62E+01 | 5.64E+01 | 5.74E+01 | 5.89E+01 |
| 50000.0 | 6.00E+01 | 6.00E+01 | 6.00E+01 | 6.00E+01 | 6.00E+01 | 6.00E+01 | 6.00E+01 | 6.00E+01 | 5.99E+01 | 5.98E+01 | 5.98E+01 | 5.99E+01 | 6.03E+01 |
| 100000.0 | 6.12E+01 | 6.12E+01 | 6.12E+01 | 6.12E+01 | 6.12E+01 | 6.12E+01 | 6.12E+01 | 6.12E+01 | 6.11E+01 | 6.10E+01 | 6.09E+01 | 6.09E+01 | 6.12E+01 |