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6. Statistics of C IV systems

In order to investigate the statistical properties of C IV systems, an enlarged sample has been created by merging the present data with those recently obtained at similar resolution for Q0000-26 (Savaglio et al. 1997) and Q0055 - 269 (Cristiani et al. 1995). All the spectra have been analyzed in a homogeneous way according to the same procedures described in Sects. 2 and 3.

6.1. Doppler parameter and column density

The distribution of C IV column densities is shown in Fig. 7 (click here). It can be described as a single power-law distribution, tex2html_wrap_inline1975, with tex2html_wrap_inline1981 (in agreement with Petitjean & Bergeron 1994), down to a completeness limit tex2html_wrap_inline2635.

  figure470
Figure 7: Histogram of the logarithmic number of C IV absorptions as a function of the column density. The solid line represents a power-law: tex2html_wrap_inline2637, tex2html_wrap_inline1981 (Petitjean & Bergeron 1994)

  figure477
Figure 8: Rest equivalent width of single C IV system components as a function of the column density (in units of
tex2html_wrap_inline2641). The overplotted curves of growth have been computed for values b = 6, 14, 22 km s-1 of the Doppler parameter (Spitzer 1978; Press & Rybicki 1993)

The distribution of the Doppler parameters for the same C IV lines has a mode of tex2html_wrap_inline2647 km s-1 and a standard deviation tex2html_wrap_inline2651 km s-1. A simple derivation of the expected tex2html_wrap_inline2655 from the corresponding tex2html_wrap_inline2657, with the hypothesis of pure thermal broadening with a single temperature would provide tex2html_wrap_inline2659 km s-1. This indicates either that turbulent motions are present or some of the lines are blends of subcomponents, which would be separated only by observations with higher spectral resolution and s/n.

Figure 8 (click here) shows the equivalent widths, estimated from the b and tex2html_wrap_inline2667 values derived for each subcomponent by profile fitting, versus the column density. It can be seen that most of the lines are on the linear part of the curve of growth, at least for tex2html_wrap_inline2669 cm-2. Curves of growth have been drawn for values of the Doppler parameter tex2html_wrap_inline2673 km s-1.


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