Table 2.
Doublet constraints, set by atomic physics, are embedded in the fitting to obtain best-fit results for C IV, N V, and Si IV+O IV].
| Fit parameters | Rules |
|---|---|
| Gaussian parameters for doublet lines: | |
| Line centre, λ0 (Å) |  |
| Line flux, F (erg s−1 cm−2) |  |
| Line width, σλ (Å) | σλ, 1 = σλ, 2 |
| Gaussian parameters for the O IV] quintuplet line (n = 1, 2, 3, 5): | |
| Line centre, λ0 (Å) |  |
| Line flux, F (erg s−1 cm−2) |  |
| Line width, σλ (Å) | σλ, 4 = σλ, n |
| Voigt parameters for multiplet lines with n transitions: | |
| Redshift, z | z1 = zn |
| Doppler parameter, b (km s−1) | b1 = bn |
| Column density, N (cm−2) | N1 = Nn |
Notes. The flux ratios (F1/F2) are equal to the oscillator strength ratios (f1/f2). The line centre ratios (λ0, 1/λ0, 2) are equal to the rest-frame wavelength ratios (λ1/λ2). The redshift, z, Doppler parameter, and column density, N, are equal between doublet wavelengths. The O IV] quintuplet constraints are similar to those of the doublets. The fourth quintuplet line, 1404.8 Å, is the brightest of the O IV] quintuplets, therefore the other four O IV] lines are fixed to it.
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