Zirconium 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 | 1.49E-01 | 2.43E-01 | 4.62E-01 | 5.70E-01 | 3.22E-01 | 6.25E-02 | 8.96E-03 | 1.84E-03 | 9.73E-04 | 4.10E-03 | 1.04E+00 | 4.00E+00 | 8.00E+00 |
| 1.0 | 1.06E+00 | 1.26E+00 | 1.73E+00 | 1.81E+00 | 1.54E+00 | 1.09E+00 | 7.45E-01 | 2.98E-01 | 8.90E-02 | 1.14E-01 | 1.14E+00 | 4.00E+00 | 8.00E+00 |
| 1.5 | 1.73E+00 | 1.92E+00 | 2.01E+00 | 2.09E+00 | 2.09E+00 | 1.94E+00 | 1.49E+00 | 6.78E-01 | 1.74E-01 | 1.47E-01 | 1.26E+00 | 4.00E+00 | 8.00E+00 |
| 2.0 | 2.01E+00 | 2.08E+00 | 2.34E+00 | 2.79E+00 | 2.84E+00 | 2.55E+00 | 2.00E+00 | 1.27E+00 | 3.19E-01 | 1.13E-01 | 1.39E+00 | 4.00E+00 | 8.00E+00 |
| 5.0 | 3.97E+00 | 3.97E+00 | 3.98E+00 | 3.99E+00 | 4.00E+00 | 3.99E+00 | 3.94E+00 | 3.59E+00 | 2.59E+00 | 1.38E+00 | 2.26E+00 | 4.00E+00 | 8.01E+00 |
| 7.0 | 4.02E+00 | 4.02E+00 | 4.03E+00 | 4.05E+00 | 4.11E+00 | 4.12E+00 | 4.09E+00 | 3.91E+00 | 3.36E+00 | 2.34E+00 | 2.86E+00 | 4.00E+00 | 8.01E+00 |
| 10.0 | 4.24E+00 | 4.25E+00 | 4.27E+00 | 4.41E+00 | 4.87E+00 | 5.20E+00 | 5.21E+00 | 4.82E+00 | 3.97E+00 | 3.09E+00 | 3.45E+00 | 4.02E+00 | 8.02E+00 |
| 15.0 | 4.92E+00 | 4.92E+00 | 4.95E+00 | 5.15E+00 | 5.78E+00 | 6.54E+00 | 7.02E+00 | 6.87E+00 | 5.78E+00 | 4.26E+00 | 4.01E+00 | 4.12E+00 | 8.04E+00 |
| 23.0 | 6.27E+00 | 6.27E+00 | 6.29E+00 | 6.41E+00 | 6.92E+00 | 8.02E+00 | 9.00E+00 | 9.27E+00 | 8.51E+00 | 6.67E+00 | 5.19E+00 | 4.48E+00 | 8.08E+00 |
| 32.0 | 8.44E+00 | 8.44E+00 | 8.45E+00 | 8.49E+00 | 8.78E+00 | 9.46E+00 | 1.00E+01 | 1.04E+01 | 1.01E+01 | 8.71E+00 | 6.69E+00 | 5.27E+00 | 8.14E+00 |
| 52.0 | 1.11E+01 | 1.11E+01 | 1.11E+01 | 1.11E+01 | 1.11E+01 | 1.11E+01 | 1.13E+01 | 1.22E+01 | 1.36E+01 | 1.33E+01 | 9.81E+00 | 7.79E+00 | 8.30E+00 |
| 74.0 | 1.16E+01 | 1.16E+01 | 1.16E+01 | 1.16E+01 | 1.16E+01 | 1.17E+01 | 1.20E+01 | 1.35E+01 | 1.52E+01 | 1.61E+01 | 1.45E+01 | 1.15E+01 | 8.95E+00 |
| 100.0 | 1.20E+01 | 1.20E+01 | 1.20E+01 | 1.20E+01 | 1.20E+01 | 1.21E+01 | 1.27E+01 | 1.45E+01 | 1.65E+01 | 1.83E+01 | 1.74E+01 | 1.51E+01 | 1.34E+01 |
| 165.0 | 1.29E+01 | 1.29E+01 | 1.29E+01 | 1.29E+01 | 1.30E+01 | 1.32E+01 | 1.42E+01 | 1.62E+01 | 1.88E+01 | 2.12E+01 | 2.18E+01 | 1.99E+01 | 1.76E+01 |
| 235.0 | 1.44E+01 | 1.44E+01 | 1.44E+01 | 1.44E+01 | 1.44E+01 | 1.46E+01 | 1.56E+01 | 1.76E+01 | 2.03E+01 | 2.26E+01 | 2.49E+01 | 2.33E+01 | 2.04E+01 |
| 310.0 | 1.59E+01 | 1.59E+01 | 1.59E+01 | 1.59E+01 | 1.60E+01 | 1.61E+01 | 1.68E+01 | 1.87E+01 | 2.13E+01 | 2.41E+01 | 2.69E+01 | 2.60E+01 | 2.27E+01 |
| 390.0 | 1.74E+01 | 1.74E+01 | 1.74E+01 | 1.74E+01 | 1.74E+01 | 1.75E+01 | 1.80E+01 | 1.97E+01 | 2.20E+01 | 2.54E+01 | 2.79E+01 | 2.76E+01 | 2.49E+01 |
| 475.0 | 1.87E+01 | 1.87E+01 | 1.87E+01 | 1.87E+01 | 1.87E+01 | 1.88E+01 | 1.92E+01 | 2.05E+01 | 2.27E+01 | 2.65E+01 | 2.85E+01 | 2.85E+01 | 2.66E+01 |
| 655.0 | 2.11E+01 | 2.11E+01 | 2.11E+01 | 2.11E+01 | 2.11E+01 | 2.11E+01 | 2.12E+01 | 2.21E+01 | 2.45E+01 | 2.79E+01 | 2.92E+01 | 2.98E+01 | 2.93E+01 |
| 845.0 | 2.36E+01 | 2.36E+01 | 2.36E+01 | 2.36E+01 | 2.36E+01 | 2.36E+01 | 2.37E+01 | 2.44E+01 | 2.66E+01 | 2.86E+01 | 2.95E+01 | 3.09E+01 | 3.15E+01 |
| 1000.0 | 2.62E+01 | 2.62E+01 | 2.62E+01 | 2.62E+01 | 2.62E+01 | 2.62E+01 | 2.63E+01 | 2.66E+01 | 2.78E+01 | 2.90E+01 | 2.98E+01 | 3.16E+01 | 3.27E+01 |
| 1441.0 | 2.89E+01 | 2.89E+01 | 2.89E+01 | 2.89E+01 | 2.89E+01 | 2.89E+01 | 2.89E+01 | 2.90E+01 | 2.91E+01 | 2.95E+01 | 3.05E+01 | 3.32E+01 | 3.47E+01 |
| 1925.0 | 2.96E+01 | 2.96E+01 | 2.96E+01 | 2.96E+01 | 2.96E+01 | 2.96E+01 | 2.96E+01 | 2.96E+01 | 2.96E+01 | 2.99E+01 | 3.14E+01 | 3.44E+01 | 3.59E+01 |
| 2454.0 | 3.00E+01 | 3.00E+01 | 3.00E+01 | 3.00E+01 | 3.00E+01 | 3.00E+01 | 3.00E+01 | 3.00E+01 | 3.00E+01 | 3.04E+01 | 3.24E+01 | 3.53E+01 | 3.65E+01 |
| 3030.0 | 3.05E+01 | 3.05E+01 | 3.05E+01 | 3.05E+01 | 3.05E+01 | 3.05E+01 | 3.05E+01 | 3.05E+01 | 3.06E+01 | 3.11E+01 | 3.35E+01 | 3.59E+01 | 3.70E+01 |
| 3655.0 | 3.12E+01 | 3.12E+01 | 3.12E+01 | 3.12E+01 | 3.12E+01 | 3.12E+01 | 3.12E+01 | 3.12E+01 | 3.13E+01 | 3.21E+01 | 3.44E+01 | 3.63E+01 | 3.72E+01 |
| 4331.0 | 3.22E+01 | 3.22E+01 | 3.22E+01 | 3.22E+01 | 3.22E+01 | 3.22E+01 | 3.22E+01 | 3.22E+01 | 3.23E+01 | 3.31E+01 | 3.51E+01 | 3.67E+01 | 3.74E+01 |
| 5060.0 | 3.34E+01 | 3.34E+01 | 3.34E+01 | 3.34E+01 | 3.34E+01 | 3.34E+01 | 3.34E+01 | 3.34E+01 | 3.35E+01 | 3.41E+01 | 3.56E+01 | 3.69E+01 | 3.76E+01 |
| 5844.0 | 3.46E+01 | 3.46E+01 | 3.46E+01 | 3.46E+01 | 3.46E+01 | 3.46E+01 | 3.46E+01 | 3.45E+01 | 3.45E+01 | 3.50E+01 | 3.60E+01 | 3.71E+01 | 3.77E+01 |
| 6685.0 | 3.55E+01 | 3.55E+01 | 3.55E+01 | 3.55E+01 | 3.55E+01 | 3.55E+01 | 3.55E+01 | 3.54E+01 | 3.53E+01 | 3.56E+01 | 3.64E+01 | 3.73E+01 | 3.77E+01 |
| 7585.0 | 3.61E+01 | 3.61E+01 | 3.61E+01 | 3.61E+01 | 3.61E+01 | 3.61E+01 | 3.61E+01 | 3.60E+01 | 3.59E+01 | 3.60E+01 | 3.66E+01 | 3.74E+01 | 3.78E+01 |
| 8546.0 | 3.66E+01 | 3.66E+01 | 3.66E+01 | 3.66E+01 | 3.66E+01 | 3.66E+01 | 3.66E+01 | 3.65E+01 | 3.64E+01 | 3.64E+01 | 3.69E+01 | 3.75E+01 | 3.78E+01 |
| 10000.0 | 3.70E+01 | 3.70E+01 | 3.70E+01 | 3.70E+01 | 3.70E+01 | 3.70E+01 | 3.70E+01 | 3.69E+01 | 3.68E+01 | 3.68E+01 | 3.71E+01 | 3.77E+01 | 3.79E+01 |
| 20000.0 | 3.79E+01 | 3.79E+01 | 3.79E+01 | 3.79E+01 | 3.79E+01 | 3.79E+01 | 3.79E+01 | 3.79E+01 | 3.79E+01 | 3.79E+01 | 3.79E+01 | 3.81E+01 | 3.83E+01 |
| 50000.0 | 3.87E+01 | 3.87E+01 | 3.87E+01 | 3.87E+01 | 3.87E+01 | 3.87E+01 | 3.87E+01 | 3.87E+01 | 3.87E+01 | 3.87E+01 | 3.88E+01 | 3.88E+01 | 3.89E+01 |
| 100000.0 | 3.93E+01 | 3.93E+01 | 3.93E+01 | 3.93E+01 | 3.93E+01 | 3.93E+01 | 3.93E+01 | 3.93E+01 | 3.93E+01 | 3.93E+01 | 3.93E+01 | 3.93E+01 | 3.94E+01 |