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Table 1
Fitting formulas of the scaling relations.
| Relation | Fitting formula |
|---|---|
| LXMM – LRASS | ln(LXMM/1043 erg s–1) = A + B ln(LRASS/1043 erg s–1) + SlnY|lnX |
| σv – Lx | ln(σv/km s–1) = A + B ln(LX/1043 erg s–1) + SlnY|lnX |
| σv – kT | ln(σv/km s–1) = A + B ln(kT/1.5 keV) + SlnY|lnX |
| kT – LX | ln(kT/keV–1) = A + B ln(LX/1043 erg s−1) + SlnY|lnX |
| σv – M10000 | ln(σv/km s–1) = A + B ln(M10000/1013M⊙) + SlnY|lnX |
| c200 – LX | ln(c200) = A + B ln(LX/8 × 1042(†) erg s–1) + SlnY|lnX |
Notes. A, B, and SlnY|lnX are the normalisation, slope, and intrinsic scatter of the scaling relations, respectively (see Sect. 4.1 for more details). (†)8 × 1042 erg s–1 is the median Lx of the concentration sample and is found to decrease the slope uncertainty by a factor of 2.
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