Online Material

Appendix A: Fit of the deprojected gas density profiles

We show the electron density profiles, obtained from the deprojection of the surface brightness, of the objects in our high-z sample. We overplot the best-fitted function form in Eq. (5) fitted over the radial range $0{-}R_{\rm spat}$ . Both the best-fit parameters and $R_{\rm spat}$ are quoted in Table 1.

$\begin{figure} \par\vspace*{-0.0cm} \hbox{ \includegraphics[width=7cm]{ngas/MS1... ...s.ps}\includegraphics[width=7cm]{ngas/MACS-J1720.2+3536_ngas.ps} }\end{figure}$

Figure A.1:

Plots of the deprojected electron density profiles with the best-fit model in Eq. (5) overplotted and the residuals $\sigma _i = (d_i-m_i)/\epsilon _i$ shown in the bottom panel, where d_i, m_i and $\epsilon _i$ are the values of the data, model and error on the data at a given radius, respectively. Together with the $\chi ^2 = \sum (d_i-m_i)^2/\epsilon _i^2 = \sum \sigma _i^2$ value, the R factor represents a measure of the overall residuals and is given by $R=\sum {\rm abs} (d_i-m_i) / \sum d_i$ . In 81 per cent of the cases, R < 0.2.

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$\begin{figure} \par\vspace*{-0.0cm} \hbox{\includegraphics[width=7.5cm]{ngas/Zw0... ...s} \includegraphics[width=7.5cm]{ngas/MACS-J1206.2-0847_ngas.ps} }\end{figure}$	Figure A.1: continued.
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$\begin{figure} \vspace*{-0.0cm} \hbox{ \includegraphics[width=7.5cm]{ngas/V170... ...as.ps} \includegraphics[width=7.5cm]{ngas/MS0015.9+1609_ngas.ps} }\end{figure}$	Figure A.1: continued.
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$\begin{figure} \vspace*{-0.0cm} \hbox{ \includegraphics[width=7.5cm]{ngas/MACS-... ...s} \includegraphics[width=7.5cm]{ngas/MACS-J0647.7+7015_ngas.ps} }\end{figure}$	Figure A.1: continued.
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$\begin{figure} \vspace*{-0.0cm} \hbox{ \includegraphics[width=7.5cm]{ngas/RXJ09... ...as.ps} \includegraphics[width=7.5cm]{ngas/MS1137.5+6624_ngas.ps} }\end{figure}$	Figure A.1: continued.
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$\begin{figure} \par\vspace*{-0.0cm} \hbox{ \includegraphics[width=7.5cm]{ngas/R... ...as.ps} \includegraphics[width=7.5cm]{ngas/CL1415.1+3612_ngas.ps} }\end{figure}$	Figure A.1: continued.
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$\begin{figure} \par\vspace*{-0.0cm} \hbox{ \includegraphics[width=7.5cm]{ngas/R... ....ps} \includegraphics[width=7.5cm]{ngas/RDCS-J0848+4453_ngas.ps} }\end{figure}$	Figure A.1: continued.
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