Table 2: Best fit values for the Sersic parameters of the ICM, $\kappa$ from Eq. (5), and radius r₂₀₀ within which the mean density is 200 times the critical density of the Universe.
Cluster $\nu$ $a_{\rm eq}$ (kpc) ${n_{\rm e}}_0 \times 10^{-3}$ (cm^-3) $\kappa$ r₂₀₀ (kpc)

A85 0.55 $\pm$ 0.01 260 $\pm$ 5 5.72 $\pm$ 0.11 7.17 $\pm$ 0.32 2714

A478 0.50 $\pm$ 0.01 143 $\pm$ 4 18.51 $\pm$ 0.52 7.04 $\pm$ 0.42 2607

A644 0.82 $\pm$ 0.01 389 $\pm$ 6 3.58 $\pm$ 0.06 7.19 $\pm$ 0.21 2421

A1651 0.74 $\pm$ 0.02 385 $\pm$ 9 3.57 $\pm$ 0.11 6.59 $\pm$ 0.25 2453

A1689 0.58 $\pm$ 0.01 198 $\pm$ 9 14.26 $\pm$ 0.82 7.90 $\pm$ 0.35 2594

A1795 0.54 $\pm$ 0.00 164 $\pm$ 2 12.30 $\pm$ 0.23 7.64 $\pm$ 0.21 2462

A2029 0.49 $\pm$ 0.01 151 $\pm$ 4 16.63 $\pm$ 0.52 8.65 $\pm$ 0.43 2946

A2034 1.00 $\pm$ 0.03 811 $\pm$ 18 1.72 $\pm$ 0.04 3.58 $\pm$ 0.43 2450

A2052 0.47 $\pm$ 0.01 100 $\pm$ 5 11.70 $\pm$ 0.72 9.90 $\pm$ 0.67 1930

A2142 0.81 $\pm$ 0.01 528 $\pm$ 6 3.86 $\pm$ 0.05 4.26 $\pm$ 0.50 2824

A2199 0.60 $\pm$ 0.00 180 $\pm$ 1 6.82 $\pm$ 0.06 9.42 $\pm$ 0.20 2142

A2219 0.85 $\pm$ 0.02 689 $\pm$ 15 3.40 $\pm$ 0.08 4.04 $\pm$ 0.24 2887

A2244 0.56 $\pm$ 0.02 237 $\pm$ 17 6.38 $\pm$ 0.68 13.05 $\pm$ 0.70 3039

A2319 0.80 $\pm$ 0.01 755 $\pm$ 13 1.86 $\pm$ 0.04 5.13 $\pm$ 0.10 3294

A2382 1.17 $\pm$ 0.04 831 $\pm$ 19 0.49 $\pm$ 0.01 6.61 $\pm$ 0.66 1900

A2390 0.59 $\pm$ 0.02 313 $\pm$ 16 8.61 $\pm$ 0.48 5.13 $\pm$ 0.62 2658

A2589 0.72 $\pm$ 0.02 312 $\pm$ 8 2.31 $\pm$ 0.07 9.25 $\pm$ 1.73 2008

A2597 0.39 $\pm$ 0.01 37 $\pm$ 4 71.44 $\pm$ 46.76 12.42 $\pm$ 1.60 2035

A2670 0.52 $\pm$ 0.03 215 $\pm$ 27 4.05 $\pm$ 0.74 11.44 $\pm$ 0.58 2331

A2744 1.35 $\pm$ 0.07 877 $\pm$ 25 2.26 $\pm$ 0.07 4.82 $\pm$ 0.29 2506

A3266 1.18 $\pm$ 0.01 935 $\pm$ 7 1.22 $\pm$ 0.01 5.66 $\pm$ 0.20 2973

A3667 0.89 $\pm$ 0.01 990 $\pm$ 9 1.07 $\pm$ 0.01 3.29 $\pm$ 0.36 2723

A3921 0.81 $\pm$ 0.02 653 $\pm$ 15 1.41 $\pm$ 0.04 3.66 $\pm$ 0.50 2090

A4059 0.64 $\pm$ 0.01 233 $\pm$ 8 4.34 $\pm$ 0.18 8.46 $\pm$ 1.02 2033

HCG62 0.36 22 17.4 36.9 $\pm$ 1.63 -

**Table 2:** Best fit values for the Sersic parameters of the ICM, $\kappa$ from Eq. (5), and radius r₂₀₀ within which the mean density is 200 times the critical density of the Universe.
Cluster	$\nu$	$a_{\rm eq}$ (kpc)	${n_{\rm e}}_0 \times 10^{-3}$ (cm^-3)	$\kappa$	r₂₀₀ (kpc)
A85	0.55 $\pm$ 0.01	260 $\pm$ 5	5.72 $\pm$ 0.11	7.17 $\pm$ 0.32	2714
A478	0.50 $\pm$ 0.01	143 $\pm$ 4	18.51 $\pm$ 0.52	7.04 $\pm$ 0.42	2607
A644	0.82 $\pm$ 0.01	389 $\pm$ 6	3.58 $\pm$ 0.06	7.19 $\pm$ 0.21	2421
A1651	0.74 $\pm$ 0.02	385 $\pm$ 9	3.57 $\pm$ 0.11	6.59 $\pm$ 0.25	2453
A1689	0.58 $\pm$ 0.01	198 $\pm$ 9	14.26 $\pm$ 0.82	7.90 $\pm$ 0.35	2594
A1795	0.54 $\pm$ 0.00	164 $\pm$ 2	12.30 $\pm$ 0.23	7.64 $\pm$ 0.21	2462
A2029	0.49 $\pm$ 0.01	151 $\pm$ 4	16.63 $\pm$ 0.52	8.65 $\pm$ 0.43	2946
A2034	1.00 $\pm$ 0.03	811 $\pm$ 18	1.72 $\pm$ 0.04	3.58 $\pm$ 0.43	2450
A2052	0.47 $\pm$ 0.01	100 $\pm$ 5	11.70 $\pm$ 0.72	9.90 $\pm$ 0.67	1930
A2142	0.81 $\pm$ 0.01	528 $\pm$ 6	3.86 $\pm$ 0.05	4.26 $\pm$ 0.50	2824
A2199	0.60 $\pm$ 0.00	180 $\pm$ 1	6.82 $\pm$ 0.06	9.42 $\pm$ 0.20	2142
A2219	0.85 $\pm$ 0.02	689 $\pm$ 15	3.40 $\pm$ 0.08	4.04 $\pm$ 0.24	2887
A2244	0.56 $\pm$ 0.02	237 $\pm$ 17	6.38 $\pm$ 0.68	13.05 $\pm$ 0.70	3039
A2319	0.80 $\pm$ 0.01	755 $\pm$ 13	1.86 $\pm$ 0.04	5.13 $\pm$ 0.10	3294
A2382	1.17 $\pm$ 0.04	831 $\pm$ 19	0.49 $\pm$ 0.01	6.61 $\pm$ 0.66	1900
A2390	0.59 $\pm$ 0.02	313 $\pm$ 16	8.61 $\pm$ 0.48	5.13 $\pm$ 0.62	2658
A2589	0.72 $\pm$ 0.02	312 $\pm$ 8	2.31 $\pm$ 0.07	9.25 $\pm$ 1.73	2008
A2597	0.39 $\pm$ 0.01	37 $\pm$ 4	71.44 $\pm$ 46.76	12.42 $\pm$ 1.60	2035
A2670	0.52 $\pm$ 0.03	215 $\pm$ 27	4.05 $\pm$ 0.74	11.44 $\pm$ 0.58	2331
A2744	1.35 $\pm$ 0.07	877 $\pm$ 25	2.26 $\pm$ 0.07	4.82 $\pm$ 0.29	2506
A3266	1.18 $\pm$ 0.01	935 $\pm$ 7	1.22 $\pm$ 0.01	5.66 $\pm$ 0.20	2973
A3667	0.89 $\pm$ 0.01	990 $\pm$ 9	1.07 $\pm$ 0.01	3.29 $\pm$ 0.36	2723
A3921	0.81 $\pm$ 0.02	653 $\pm$ 15	1.41 $\pm$ 0.04	3.66 $\pm$ 0.50	2090
A4059	0.64 $\pm$ 0.01	233 $\pm$ 8	4.34 $\pm$ 0.18	8.46 $\pm$ 1.02	2033
HCG62	0.36	22	17.4	36.9 $\pm$ 1.63	-

Source LaTeX | All tables | In the text