half-opening angle of the torus using $$\label{Eq:fractioncos}
\theta_{\mathrm{OA}}=\cos ^{-1}( f_{\mathrm{obs}}).$$ For Eq.\[Eq:Burlon\] we converted the hard X-ray luminosity to the luminosity in the 2–10keV band assuming a photon index $\Gamma=1.9$ (e.g., [@Beckmann:2009fk]). The three $\theta_{\mathrm{OA}}-L_{\mathrm{X}}$ relationships used in this work are shown in Fig.\[fig:tor\_CFL2\].

![[*Top panel:*]{} extract in the 5.5-7.5keV region of a spectrum simulated using the model of @Ikeda:2009nx. The model has a torus with an half-opening angle of $\theta_{\mathrm{OA}}=46.2^{\circ}$ (equivalent to $\log L_{\mathrm{X}}=42.7$ according to the relationship of [@Hasinger:2008ve]), an equatorial column density of $\log N_{\rm\,H}^{\rm\,T}=23.8$, and an inclination angle of $\theta_{\,\mathrm{i}}=1^{\circ}$. The continuous line represents the fit to the simulated spectrum using for the continuum the same model we used for the simulations, and a Gaussian line for the iron K$\alpha$ fluorescent line. [*Bottom panel:*]{} contribution to the chi-squared for the best fit to the simulations. []{data-label="fig:simulations_line"}](sim_line1.ps){width="8.5cm"}

Spectral simulations and fitting
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@Ikeda:2009nx recently presented Monte-Carlo simulations of the reprocessed X-ray emission of an AGN surrounded by a three-dimensional spherical-toroidal structure. The simulations were performed using the ray-tracing method, taking into account Compton down-scattering and absorption, and are stored in tables, so that they can be used to perform spectral fitting. The free parameters of this model 