Relationship between the fitted column density of Na, NNaD, and the covering fraction, Cf, of the best-fit model for the Na D lines. The color and size of each circle is related to the velocity offset (purple to red indicates −100 to + 200 km s-1) and dispersion of the lines (lowest to highest indicates 200 to ~1000 km s-1) respectively. This trend is artificially induced because the individual components of the doublet are not resolved and does not affect the overall results. The inset (magenta histrogram) shows the distribution of NNaD × Cf from the Monte-Carlo simulations, where the column density and covering fractions were held constant at 3 × 1013 cm-2 and 0.5 respectively (see text for details).
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