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Table 1.

Morphological parameters.

Name Description Type Centre R500
ns, 0 Log gas density at a radius of 0.02R500 relative to a scaled critical density M V Y
ns, 0* Log gas density at a radius of 0.02R500 relative to a scaled critical density M P Y
n50 Log gas electron density at a radius of 50 kpc M V N
n50* Log gas electron density at a radius of 50 kpc M P N
α Inner density slope at 0.04R500 radius M V Y
α* Inner density slope at 0.04R500 radius M P Y
α50 Inner density slope at 50 kpc radius M V N
α50* Inner density slope at 50 kpc radius M P N
c500 Log ratio of integrated model surface brightness in apertures of 0.1R500 and R500 M V Y
c500* Log ratio of integrated model surface brightness in apertures of 0.1R500 and R500 M P Y
c80 − 800 Log ratio of integrated model surface brightness in apertures of 80 and 800 kpc M V N
c80 − 800* Log ratio of integrated model surface brightness in apertures of 80 and 800 kpc M P N
F Ratio of offset between best fitting cluster centre and peak and R500 M/I Y
P10, P20, P30, P40 Log power ratio with orders from 1 to 4 I F Y
P10*, P20* Log power ratio with orders from 1 to 2 I P Y
G Gini coefficient (0–1) I F Y
Aphot Photon asymmetry I F Y
Aphot* Photon asymmetry I P Y
w Centroid shift I F Y
ϵ Ellipticity, the ratio of minor to major axis (0–1) M M N
H Slosh, the degree of sloshing factor (0–1) M M N
M1, M2, M3, M4 Multipole magnitudes (0–1) for orders 1 to 4 M M N

Dshape Combined disturbance score (0–1), based on ϵ, H, M1 to M4, and F M/I Y
Dcomb Combined disturbance score (0–1), also including c80 − 800 M/I Y

Notes. The Type column lists whether the parameter is the output of models (M) or computed from images (I). I values can also depend on the model fits (e.g. cluster centre, background rate, model surface brightness profile for masking). The type of cluster centre is given, including symmetric model position, where the value can vary during the analysis (V), when it is fixed to the best fit location (F), the cluster peak (P) or comes from the model being fitted, which can vary during the analysis (M). The column R500 specifies whether the parameter depends on the cluster radius. The disturbance indicators combine other parameters and are discussed in Sect. 8.

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