Hafnium 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 | 7.16E-01 | 7.11E-01 | 6.62E-01 | 3.85E-01 | 7.55E-02 | 9.19E-03 | 1.23E-03 | 2.50E-04 | 1.32E-04 | 5.34E-04 | 1.00E+00 | 4.00E+00 | 8.00E+00 |
| 1.0 | 1.00E+00 | 1.01E+00 | 1.16E+00 | 1.24E+00 | 1.05E+00 | 9.96E-01 | 9.17E-01 | 6.03E-01 | 2.45E-01 | 1.64E-01 | 1.03E+00 | 4.00E+00 | 8.00E+00 |
| 1.5 | 1.15E+00 | 1.54E+00 | 1.93E+00 | 1.95E+00 | 1.72E+00 | 1.23E+00 | 1.04E+00 | 9.93E-01 | 9.28E-01 | 8.09E-01 | 1.09E+00 | 4.00E+00 | 8.00E+00 |
| 2.0 | 1.70E+00 | 1.95E+00 | 2.03E+00 | 2.11E+00 | 2.05E+00 | 1.74E+00 | 1.25E+00 | 1.05E+00 | 1.00E+00 | 9.69E-01 | 4.39E-01 | 4.00E+00 | 8.00E+00 |
| 5.0 | 3.76E+00 | 3.76E+00 | 3.80E+00 | 3.94E+00 | 3.99E+00 | 3.99E+00 | 3.90E+00 | 3.28E+00 | 1.97E+00 | 1.27E+00 | 1.18E+00 | 4.00E+00 | 8.00E+00 |
| 7.0 | 3.86E+00 | 3.86E+00 | 3.89E+00 | 3.98E+00 | 4.03E+00 | 4.03E+00 | 3.98E+00 | 3.80E+00 | 2.88E+00 | 1.73E+00 | 1.23E+00 | 4.00E+00 | 8.00E+00 |
| 10.0 | 1.07E+01 | 1.07E+01 | 1.07E+01 | 1.08E+01 | 1.08E+01 | 1.06E+01 | 5.59E+00 | 4.16E+00 | 3.63E+00 | 2.31E+00 | 1.66E+00 | 4.01E+00 | 8.01E+00 |
| 15.0 | 1.10E+01 | 1.10E+01 | 1.10E+01 | 1.10E+01 | 1.10E+01 | 1.10E+01 | 1.10E+01 | 1.08E+01 | 9.33E+00 | 3.56E+00 | 2.23E+00 | 4.09E+00 | 8.02E+00 |
| 23.0 | 1.10E+01 | 1.10E+01 | 1.10E+01 | 1.10E+01 | 1.10E+01 | 1.10E+01 | 1.10E+01 | 1.11E+01 | 1.10E+01 | 7.80E+00 | 4.17E+00 | 4.46E+00 | 8.04E+00 |
| 32.0 | 1.10E+01 | 1.10E+01 | 1.10E+01 | 1.10E+01 | 1.10E+01 | 1.10E+01 | 1.15E+01 | 1.41E+01 | 1.45E+01 | 1.32E+01 | 6.46E+00 | 5.05E+00 | 8.07E+00 |
| 52.0 | 1.10E+01 | 1.10E+01 | 1.10E+01 | 1.11E+01 | 1.11E+01 | 1.18E+01 | 1.46E+01 | 1.64E+01 | 1.78E+01 | 1.78E+01 | 1.60E+01 | 9.15E+00 | 8.78E+00 |
| 74.0 | 1.14E+01 | 1.14E+01 | 1.14E+01 | 1.15E+01 | 1.18E+01 | 1.39E+01 | 1.58E+01 | 1.79E+01 | 2.00E+01 | 2.12E+01 | 1.97E+01 | 1.76E+01 | 1.77E+01 |
| 100.0 | 1.30E+01 | 1.30E+01 | 1.30E+01 | 1.31E+01 | 1.37E+01 | 1.50E+01 | 1.69E+01 | 1.93E+01 | 2.19E+01 | 2.38E+01 | 2.32E+01 | 2.08E+01 | 1.93E+01 |
| 165.0 | 1.66E+01 | 1.66E+01 | 1.66E+01 | 1.67E+01 | 1.68E+01 | 1.73E+01 | 1.89E+01 | 2.15E+01 | 2.45E+01 | 2.57E+01 | 2.74E+01 | 2.53E+01 | 2.37E+01 |
| 235.0 | 1.91E+01 | 1.91E+01 | 1.91E+01 | 1.91E+01 | 1.92E+01 | 1.94E+01 | 2.06E+01 | 2.32E+01 | 2.54E+01 | 2.76E+01 | 3.15E+01 | 3.06E+01 | 2.67E+01 |
| 310.0 | 2.11E+01 | 2.11E+01 | 2.11E+01 | 2.11E+01 | 2.12E+01 | 2.13E+01 | 2.22E+01 | 2.44E+01 | 2.61E+01 | 2.98E+01 | 3.42E+01 | 3.44E+01 | 3.07E+01 |
| 390.0 | 2.29E+01 | 2.29E+01 | 2.29E+01 | 2.29E+01 | 2.29E+01 | 2.30E+01 | 2.36E+01 | 2.52E+01 | 2.70E+01 | 3.18E+01 | 3.58E+01 | 3.77E+01 | 3.40E+01 |
| 475.0 | 2.43E+01 | 2.43E+01 | 2.43E+01 | 2.43E+01 | 2.43E+01 | 2.43E+01 | 2.47E+01 | 2.58E+01 | 2.81E+01 | 3.34E+01 | 3.75E+01 | 4.06E+01 | 3.65E+01 |
| 655.0 | 2.63E+01 | 2.63E+01 | 2.63E+01 | 2.63E+01 | 2.63E+01 | 2.63E+01 | 2.65E+01 | 2.74E+01 | 3.09E+01 | 3.56E+01 | 4.09E+01 | 4.38E+01 | 4.18E+01 |
| 845.0 | 2.99E+01 | 2.99E+01 | 2.99E+01 | 2.99E+01 | 2.99E+01 | 2.99E+01 | 3.01E+01 | 3.11E+01 | 3.44E+01 | 3.84E+01 | 4.23E+01 | 4.62E+01 | 4.79E+01 |
| 1000.0 | 3.57E+01 | 3.57E+01 | 3.57E+01 | 3.57E+01 | 3.57E+01 | 3.57E+01 | 3.58E+01 | 3.62E+01 | 3.79E+01 | 4.07E+01 | 4.28E+01 | 4.73E+01 | 4.99E+01 |
| 1441.0 | 4.25E+01 | 4.25E+01 | 4.25E+01 | 4.25E+01 | 4.25E+01 | 4.25E+01 | 4.25E+01 | 4.25E+01 | 4.26E+01 | 4.28E+01 | 4.41E+01 | 4.96E+01 | 5.33E+01 |
| 1925.0 | 4.32E+01 | 4.32E+01 | 4.32E+01 | 4.32E+01 | 4.32E+01 | 4.32E+01 | 4.32E+01 | 4.32E+01 | 4.32E+01 | 4.34E+01 | 4.52E+01 | 5.13E+01 | 5.55E+01 |
| 2454.0 | 4.36E+01 | 4.36E+01 | 4.36E+01 | 4.36E+01 | 4.36E+01 | 4.36E+01 | 4.36E+01 | 4.36E+01 | 4.36E+01 | 4.39E+01 | 4.62E+01 | 5.27E+01 | 5.69E+01 |
| 3030.0 | 4.39E+01 | 4.39E+01 | 4.39E+01 | 4.39E+01 | 4.39E+01 | 4.39E+01 | 4.39E+01 | 4.39E+01 | 4.40E+01 | 4.45E+01 | 4.74E+01 | 5.39E+01 | 5.79E+01 |
| 3655.0 | 4.44E+01 | 4.44E+01 | 4.44E+01 | 4.44E+01 | 4.44E+01 | 4.44E+01 | 4.44E+01 | 4.44E+01 | 4.45E+01 | 4.52E+01 | 4.86E+01 | 5.51E+01 | 5.86E+01 |
| 4331.0 | 4.51E+01 | 4.51E+01 | 4.51E+01 | 4.51E+01 | 4.51E+01 | 4.51E+01 | 4.51E+01 | 4.51E+01 | 4.53E+01 | 4.61E+01 | 5.00E+01 | 5.62E+01 | 5.93E+01 |
| 5060.0 | 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 | 4.75E+01 | 5.15E+01 | 5.71E+01 | 5.98E+01 |
| 5844.0 | 4.84E+01 | 4.84E+01 | 4.84E+01 | 4.84E+01 | 4.84E+01 | 4.84E+01 | 4.84E+01 | 4.84E+01 | 4.86E+01 | 4.95E+01 | 5.30E+01 | 5.79E+01 | 6.02E+01 |
| 6685.0 | 5.10E+01 | 5.10E+01 | 5.10E+01 | 5.10E+01 | 5.10E+01 | 5.10E+01 | 5.10E+01 | 5.10E+01 | 5.11E+01 | 5.18E+01 | 5.47E+01 | 5.86E+01 | 6.07E+01 |
| 7585.0 | 5.37E+01 | 5.37E+01 | 5.37E+01 | 5.37E+01 | 5.37E+01 | 5.37E+01 | 5.37E+01 | 5.37E+01 | 5.38E+01 | 5.42E+01 | 5.62E+01 | 5.92E+01 | 6.10E+01 |
| 8546.0 | 5.60E+01 | 5.60E+01 | 5.60E+01 | 5.60E+01 | 5.60E+01 | 5.60E+01 | 5.60E+01 | 5.60E+01 | 5.60E+01 | 5.63E+01 | 5.75E+01 | 5.97E+01 | 6.14E+01 |
| 10000.0 | 5.82E+01 | 5.82E+01 | 5.82E+01 | 5.82E+01 | 5.82E+01 | 5.82E+01 | 5.82E+01 | 5.82E+01 | 5.82E+01 | 5.83E+01 | 5.89E+01 | 6.03E+01 | 6.19E+01 |
| 20000.0 | 6.20E+01 | 6.20E+01 | 6.20E+01 | 6.20E+01 | 6.20E+01 | 6.20E+01 | 6.20E+01 | 6.20E+01 | 6.20E+01 | 6.20E+01 | 6.21E+01 | 6.28E+01 | 6.47E+01 |
| 50000.0 | 6.65E+01 | 6.65E+01 | 6.65E+01 | 6.65E+01 | 6.65E+01 | 6.65E+01 | 6.65E+01 | 6.65E+01 | 6.65E+01 | 6.65E+01 | 6.65E+01 | 6.67E+01 | 6.73E+01 |
| 100000.0 | 6.82E+01 | 6.82E+01 | 6.82E+01 | 6.82E+01 | 6.82E+01 | 6.82E+01 | 6.82E+01 | 6.82E+01 | 6.81E+01 | 6.80E+01 | 6.79E+01 | 6.80E+01 | 6.82E+01 |