Universal thermodynamic properties of the intracluster medium over two decades in radius in the X-COP sample

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Table 2.

Results of the piecewise power law fits (normalizations, slopes, and intrinsic scatter; see Eq. (4)) for the various thermodynamic quantities in several radial ranges, marked by the inner and outer rescaled radii x_in and x_out.

Density
x_in	x_out	A (10⁻⁴ cm⁻³)	B (slope)	σ_int	ρ_A, B
0.01	0.07	13.00 ± 3.83	−0.48 ± 0.10	0.38 ± 0.04	0.9884
0.07	0.13	3.44 ± 1.73	−1.04 ± 0.24	0.28 ± 0.03	0.9969
0.13	0.21	2.60 ± 0.79	−1.21 ± 0.19	0.18 ± 0.02	0.9974
0.21	0.31	2.85 ± 0.72	−1.16 ± 0.21	0.15 ± 0.01	0.9963
0.31	0.46	1.84 ± 0.31	−1.60 ± 0.20	0.15 ± 0.01	0.9938
0.46	0.72	1.63 ± 0.17	−1.80 ± 0.21	0.18 ± 0.02	0.9767
0.72	1.14	1.42 ± 0.06	−2.38 ± 0.29	0.27 ± 0.03	0.7102
1.15	2.00	1.53 ± 0.19	−2.47 ± 0.31	0.37 ± 0.04	−0.8783
Pressure
x_in	x_out	A	B (slope)	σ_int	ρ_A, B

0.01	0.09	5.75 ± 2.39	−0.31 ± 0.13	0.65 ± 0.09	0.9353
0.09	0.22	1.84 ± 1.06	−0.72 ± 0.28	0.39 ± 0.05	0.9321
0.22	0.39	0.68 ± 0.24	−1.27 ± 0.28	0.27 ± 0.04	0.9550
0.39	0.65	0.27 ± 0.07	−2.27 ± 0.36	0.29 ± 0.04	0.9636
0.65	0.88	0.26 ± 0.05	−2.19 ± 0.65	0.34 ± 0.05	0.9371
0.89	1.28	0.24 ± 0.02	−2.09 ± 0.61	0.38 ± 0.06	−0.3866
1.29	2.65	0.27 ± 0.07	−3.21 ± 0.40	0.40 ± 0.07	−0.9363
Temperature
x_in	x_out	A	B (slope)	σ_int	ρ_A, B

0.01	0.12	1.29 ± 0.16	0.12 ± 0.04	0.18 ± 0.02	0.9713
0.12	0.32	0.96 ± 0.11	−0.04 ± 0.07	0.14 ± 0.02	0.9804
0.32	0.56	0.74 ± 0.10	−0.22 ± 0.15	0.14 ± 0.02	0.9789
0.56	0.87	0.65 ± 0.04	−0.34 ± 0.18	0.13 ± 0.02	0.9388
0.88	1.90	0.65 ± 0.02	−0.31 ± 0.11	0.08 ± 0.02	−0.4798
Entropy
x_in	x_out	A	B (slope)	σ_int	ρ_A, B

0.01	0.10	0.82 ± 0.38	0.61 ± 0.14	0.56 ± 0.07	0.9394
0.11	0.24	1.57 ± 0.32	0.93 ± 0.11	0.28 ± 0.03	0.9665
0.24	0.45	1.14 ± 0.20	0.72 ± 0.16	0.16 ± 0.02	0.9783
0.45	0.66	1.11 ± 0.16	0.65 ± 0.23	0.16 ± 0.02	0.9748
0.67	0.95	1.20 ± 0.08	0.87 ± 0.25	0.14 ± 0.02	0.9057
0.96	1.90	1.27 ± 0.08	1.09 ± 0.27	0.21 ± 0.05	−0.6778

Notes.ρ_A, B is the correlation coefficient between A and B.

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