Lutetium 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 | 9.06E-01 | 9.03E-01 | 8.68E-01 | 6.29E-01 | 1.79E-01 | 2.73E-02 | 3.88E-03 | 7.95E-04 | 4.19E-04 | 1.70E-03 | 1.01E+00 | 3.00E+00 | 8.00E+00 |
| 1.0 | 1.21E+00 | 1.21E+00 | 1.22E+00 | 1.15E+00 | 1.06E+00 | 1.00E+00 | 9.61E-01 | 7.75E-01 | 4.29E-01 | 3.14E-01 | 1.06E+00 | 3.00E+00 | 8.00E+00 |
| 1.5 | 2.06E+00 | 2.06E+00 | 2.09E+00 | 2.25E+00 | 2.07E+00 | 1.36E+00 | 1.06E+00 | 1.00E+00 | 9.59E-01 | 8.82E-01 | 1.13E+00 | 3.00E+00 | 8.00E+00 |
| 2.0 | 2.75E+00 | 2.76E+00 | 2.81E+00 | 2.92E+00 | 2.89E+00 | 2.42E+00 | 1.40E+00 | 1.06E+00 | 1.01E+00 | 9.80E-01 | 1.21E+00 | 3.00E+00 | 8.00E+00 |
| 5.0 | 2.96E+00 | 2.96E+00 | 2.98E+00 | 3.01E+00 | 3.02E+00 | 3.01E+00 | 2.97E+00 | 2.69E+00 | 1.62E+00 | 1.09E+00 | 1.93E+00 | 3.00E+00 | 8.00E+00 |
| 7.0 | 3.87E+00 | 3.87E+00 | 3.95E+00 | 4.44E+00 | 4.62E+00 | 3.45E+00 | 3.18E+00 | 3.00E+00 | 2.31E+00 | 1.24E+00 | 2.30E+00 | 3.01E+00 | 8.00E+00 |
| 10.0 | 9.98E+00 | 9.98E+00 | 9.98E+00 | 9.98E+00 | 9.98E+00 | 9.97E+00 | 9.82E+00 | 6.96E+00 | 3.33E+00 | 1.71E+00 | 2.52E+00 | 3.04E+00 | 8.01E+00 |
| 15.0 | 1.00E+01 | 1.00E+01 | 1.00E+01 | 1.00E+01 | 1.00E+01 | 1.00E+01 | 9.99E+00 | 9.89E+00 | 9.13E+00 | 3.65E+00 | 1.74E+00 | 3.22E+00 | 8.02E+00 |
| 23.0 | 1.00E+01 | 1.00E+01 | 1.00E+01 | 1.00E+01 | 1.00E+01 | 1.00E+01 | 1.01E+01 | 1.22E+01 | 1.19E+01 | 7.60E+00 | 4.29E+00 | 3.72E+00 | 8.03E+00 |
| 32.0 | 1.00E+01 | 1.00E+01 | 1.00E+01 | 1.00E+01 | 1.00E+01 | 1.01E+01 | 1.28E+01 | 1.40E+01 | 1.45E+01 | 1.34E+01 | 6.23E+00 | 4.46E+00 | 8.06E+00 |
| 52.0 | 1.01E+01 | 1.01E+01 | 1.01E+01 | 1.02E+01 | 1.04E+01 | 1.27E+01 | 1.45E+01 | 1.63E+01 | 1.78E+01 | 1.78E+01 | 1.59E+01 | 1.42E+01 | 1.60E+01 |
| 74.0 | 1.12E+01 | 1.12E+01 | 1.12E+01 | 1.14E+01 | 1.23E+01 | 1.39E+01 | 1.57E+01 | 1.79E+01 | 2.00E+01 | 2.12E+01 | 1.96E+01 | 1.75E+01 | 1.77E+01 |
| 100.0 | 1.34E+01 | 1.34E+01 | 1.34E+01 | 1.35E+01 | 1.39E+01 | 1.50E+01 | 1.68E+01 | 1.92E+01 | 2.19E+01 | 2.34E+01 | 2.28E+01 | 2.07E+01 | 1.91E+01 |
| 165.0 | 1.68E+01 | 1.68E+01 | 1.68E+01 | 1.68E+01 | 1.69E+01 | 1.74E+01 | 1.89E+01 | 2.15E+01 | 2.40E+01 | 2.52E+01 | 2.74E+01 | 2.49E+01 | 2.30E+01 |
| 235.0 | 1.92E+01 | 1.92E+01 | 1.92E+01 | 1.92E+01 | 1.92E+01 | 1.95E+01 | 2.06E+01 | 2.31E+01 | 2.48E+01 | 2.77E+01 | 3.15E+01 | 3.04E+01 | 2.65E+01 |
| 310.0 | 2.12E+01 | 2.12E+01 | 2.12E+01 | 2.12E+01 | 2.12E+01 | 2.14E+01 | 2.22E+01 | 2.40E+01 | 2.56E+01 | 2.99E+01 | 3.39E+01 | 3.40E+01 | 3.04E+01 |
| 390.0 | 2.28E+01 | 2.28E+01 | 2.28E+01 | 2.28E+01 | 2.29E+01 | 2.29E+01 | 2.34E+01 | 2.46E+01 | 2.68E+01 | 3.18E+01 | 3.56E+01 | 3.76E+01 | 3.35E+01 |
| 475.0 | 2.40E+01 | 2.40E+01 | 2.40E+01 | 2.40E+01 | 2.40E+01 | 2.41E+01 | 2.43E+01 | 2.53E+01 | 2.82E+01 | 3.33E+01 | 3.77E+01 | 4.01E+01 | 3.61E+01 |
| 655.0 | 2.61E+01 | 2.61E+01 | 2.61E+01 | 2.62E+01 | 2.62E+01 | 2.62E+01 | 2.63E+01 | 2.74E+01 | 3.12E+01 | 3.55E+01 | 4.06E+01 | 4.36E+01 | 4.25E+01 |
| 845.0 | 3.11E+01 | 3.11E+01 | 3.11E+01 | 3.11E+01 | 3.11E+01 | 3.11E+01 | 3.13E+01 | 3.22E+01 | 3.49E+01 | 3.87E+01 | 4.16E+01 | 4.58E+01 | 4.75E+01 |
| 1000.0 | 3.72E+01 | 3.72E+01 | 3.72E+01 | 3.72E+01 | 3.72E+01 | 3.72E+01 | 3.72E+01 | 3.75E+01 | 3.86E+01 | 4.06E+01 | 4.22E+01 | 4.69E+01 | 4.94E+01 |
| 1441.0 | 4.17E+01 | 4.17E+01 | 4.17E+01 | 4.17E+01 | 4.17E+01 | 4.17E+01 | 4.17E+01 | 4.18E+01 | 4.18E+01 | 4.20E+01 | 4.35E+01 | 4.92E+01 | 5.28E+01 |
| 1925.0 | 4.23E+01 | 4.23E+01 | 4.23E+01 | 4.23E+01 | 4.23E+01 | 4.23E+01 | 4.23E+01 | 4.23E+01 | 4.23E+01 | 4.26E+01 | 4.47E+01 | 5.09E+01 | 5.49E+01 |
| 2454.0 | 4.27E+01 | 4.27E+01 | 4.27E+01 | 4.27E+01 | 4.27E+01 | 4.27E+01 | 4.27E+01 | 4.27E+01 | 4.27E+01 | 4.32E+01 | 4.58E+01 | 5.23E+01 | 5.62E+01 |
| 3030.0 | 4.30E+01 | 4.30E+01 | 4.30E+01 | 4.30E+01 | 4.30E+01 | 4.30E+01 | 4.30E+01 | 4.31E+01 | 4.31E+01 | 4.38E+01 | 4.70E+01 | 5.36E+01 | 5.72E+01 |
| 3655.0 | 4.36E+01 | 4.36E+01 | 4.36E+01 | 4.36E+01 | 4.36E+01 | 4.36E+01 | 4.36E+01 | 4.36E+01 | 4.37E+01 | 4.45E+01 | 4.84E+01 | 5.47E+01 | 5.79E+01 |
| 4331.0 | 4.45E+01 | 4.45E+01 | 4.45E+01 | 4.45E+01 | 4.45E+01 | 4.45E+01 | 4.45E+01 | 4.45E+01 | 4.46E+01 | 4.56E+01 | 4.98E+01 | 5.58E+01 | 5.85E+01 |
| 5060.0 | 4.60E+01 | 4.60E+01 | 4.60E+01 | 4.60E+01 | 4.60E+01 | 4.60E+01 | 4.60E+01 | 4.60E+01 | 4.62E+01 | 4.73E+01 | 5.13E+01 | 5.67E+01 | 5.91E+01 |
| 5844.0 | 4.83E+01 | 4.83E+01 | 4.83E+01 | 4.83E+01 | 4.83E+01 | 4.83E+01 | 4.83E+01 | 4.83E+01 | 4.85E+01 | 4.94E+01 | 5.29E+01 | 5.74E+01 | 5.95E+01 |
| 6685.0 | 5.11E+01 | 5.11E+01 | 5.11E+01 | 5.11E+01 | 5.11E+01 | 5.11E+01 | 5.11E+01 | 5.11E+01 | 5.12E+01 | 5.18E+01 | 5.45E+01 | 5.80E+01 | 5.99E+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 | 5.59E+01 | 5.86E+01 | 6.03E+01 |
| 8546.0 | 5.58E+01 | 5.58E+01 | 5.58E+01 | 5.58E+01 | 5.58E+01 | 5.58E+01 | 5.58E+01 | 5.58E+01 | 5.59E+01 | 5.61E+01 | 5.71E+01 | 5.90E+01 | 6.07E+01 |
| 10000.0 | 5.77E+01 | 5.77E+01 | 5.77E+01 | 5.77E+01 | 5.77E+01 | 5.77E+01 | 5.77E+01 | 5.77E+01 | 5.77E+01 | 5.78E+01 | 5.83E+01 | 5.95E+01 | 6.12E+01 |
| 20000.0 | 6.12E+01 | 6.12E+01 | 6.12E+01 | 6.12E+01 | 6.12E+01 | 6.12E+01 | 6.12E+01 | 6.12E+01 | 6.12E+01 | 6.13E+01 | 6.14E+01 | 6.21E+01 | 6.40E+01 |
| 50000.0 | 6.57E+01 | 6.57E+01 | 6.57E+01 | 6.57E+01 | 6.57E+01 | 6.57E+01 | 6.57E+01 | 6.57E+01 | 6.57E+01 | 6.57E+01 | 6.57E+01 | 6.59E+01 | 6.64E+01 |
| 100000.0 | 6.73E+01 | 6.73E+01 | 6.73E+01 | 6.73E+01 | 6.73E+01 | 6.73E+01 | 6.73E+01 | 6.73E+01 | 6.72E+01 | 6.71E+01 | 6.70E+01 | 6.71E+01 | 6.73E+01 |