Table 1: The comparison of the $\beta$ -model fitting results for the galaxy cluster CL0016+16.
$\beta$ -fit (0.01-2.5 Mpc) $\beta$ -fit by region extern (0.3-2.5 Mpc)

data source $\beta$ $r_{\rm c}$ (Mpc) $\chi^{2}_{\rm reduced}$ $\beta$ $r_{\rm c}$ (Mpc) $\chi^{2}_{\rm reduced}$

Kotov & Vikhlinin (2005) 0.76 $\pm$ 0.01 0.27 $\pm$ 0.01 1.38 ... ... ...

Worrall & Birkinshaw (2003) 0.70 $\pm$ 0.01 0.23 $\pm$ 0.01 1.35 ... ... ...

Neumann & Bohringer (1996) 0.68 $\pm$ 0.3 0.28 $\pm$ 0.14 1.02 ... ... ...

Using background by A. Read 0.77 $\pm$ 0.01 0.31 $\pm$ 0.01 1.56 0.80 $\pm$ 0.02 0.34 $\pm$ 0.02 1.35

Using background by J. Nevalainen 0.76 $\pm$ 0.01 0.29 $\pm$ 0.01 1.15 0.72 $\pm$ 0.01 0.29 $\pm$ 0.01 1.02

Using the modelling

of background from observation 0.76 $\pm$ 0.01 0.38 $\pm$ 0.01 1.57 0.81 $\pm$ 0.02 0.38 $\pm$ 0.02 1.21

**Table 1:** The comparison of the $\beta$ -model fitting results for the galaxy cluster CL0016+16.
	$\beta$ -fit	(0.01-2.5 Mpc)		$\beta$ -fit by region extern	(0.3-2.5 Mpc)
data source	$\beta$	$r_{\rm c}$ (Mpc)	$\chi^{2}_{\rm reduced}$	$\beta$	$r_{\rm c}$ (Mpc)	$\chi^{2}_{\rm reduced}$
Kotov & Vikhlinin (2005)	0.76 $\pm$ 0.01	0.27 $\pm$ 0.01	1.38	...	...	...
Worrall & Birkinshaw (2003)	0.70 $\pm$ 0.01	0.23 $\pm$ 0.01	1.35	...	...	...
Neumann & Bohringer (1996)	0.68 $\pm$ 0.3	0.28 $\pm$ 0.14	1.02	...	...	...
Using background by A. Read	0.77 $\pm$ 0.01	0.31 $\pm$ 0.01	1.56	0.80 $\pm$ 0.02	0.34 $\pm$ 0.02	1.35
Using background by J. Nevalainen	0.76 $\pm$ 0.01	0.29 $\pm$ 0.01	1.15	0.72 $\pm$ 0.01	0.29 $\pm$ 0.01	1.02
Using the modelling
of background from observation	0.76 $\pm$ 0.01	0.38 $\pm$ 0.01	1.57	0.81 $\pm$ 0.02	0.38 $\pm$ 0.02	1.21

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