All Tables

Table 8: Means and standard deviations of cluster parameters.
Table 9: Scaling relations for the distant clusters.
Table 1: Observation logs of ASCA GIS/SIS and ROSAT HRI. Columns 1 and 2, cluster ID and name (ordered according to redshift). Column 3, redshift of the cluster from NED. Columns 4 and 5, net exposures of the ASCA SIS and the GIS [s], respectively. The two sensors of the same system, i.e. SIS-0 and SIS-1, and GIS-2 and GIS-3 are added together. Note that for CL0500-24 and CL0024+17, the GIS data were not used in the spectral analysis because the spectra are heavily contaminated by point sources. For A402 the SIS data were not used due to the decrease in the low energy efficiency of the detectors. Column 6, sequential number of the ASCA data. Columns 7 and 8, X-ray centroid of the cluster, which was used to derive the radial surface brightness profile. Units of right ascension are hours, minutes, and seconds, and units of declination are degree, arcminutes, and arcseconds. Column 9, net exposure of the ROSAT HRI [s]. Column 10, sequential number(s) of the ROSAT HRI data.
Table 2: Results of single- $\beta$ model fitting with the ROSAT HRI. Column 3, R = regular cluster, I = irregular cluster. Column 4, S = single $\beta$ cluster, W = double $\beta$ cluster. (1)/(2) = inner/outer core dominant cluster. See Sect. 3.5 for details. Column 9, reduced $\chi ^2$ of the single $\beta$ -model fitting for the degree of freedom of 140. Column 10, Bautz-Morgan type.
Table 3: Results of double- $\beta$ model fitting with the ROSAT HRI. Column 7, we assumed $\beta _1 = \beta _2$ in the double- $\beta$ model fitting. Column 10, reduced $\chi ^2$ of the double $\beta$ -model fitting for the degree of freedom of 138.
Table 4: Results of the ASCA spectral analysis. Column 3, absorption column density, which was included as a free parameter in the spectral fitting. Column 4, emission-weighted X-ray temperature of the cluster. Column 5, metal abundance. Column 6, normalization factor for the Raymond-Smith model, $k=\int n_{\rm e} n_{\rm H} {\rm d}V/4\pi D^2 {\rm [10^{-14} cm^{-5}]}$ , where $D=D_{\rm A}(1+z)$ ( $D_{\rm A}$ : angular diameter distance to the source). Column 7, X-ray flux in the 2-10 keV band measured with the GIS. Note that for CL0500-24 and CL0024+17, the 2-10 keV flux, the 2-10 keV luminosity and the bolometric luminosity were estimated with the SIS data. Column 8, 2-10 keV luminosity within r<6' measured with ASCA. Column 9, bolometric luminosity within r<6'. Column 10, bolometric luminosity within r₅₀₀. Column 11, $\chi ^2$ and the degree of freedom (d.o.f.) of the Raymond-Smith model fitting. (F) Fixed parameters.
Table 5: Cluster parameters for the single $\beta$ -model. Columns 3-5 and 8-11, see Sect. 5.2.1 for definitions of the parameters. Column 6, age of the Universe at the cluster redshift. Column 7, X-ray significance radius ( $3\sigma$ ). Columns 8-11, values are for the overdensity of $\Delta _{\rm c}=500$ .
Table 6: Gas density, gas mass, cluster mass and gas-mass fraction for the double- $\beta$ clusters. Column 3, central electron density for the inner-core component of the double- $\beta$ model. Column 4, cooling timescale estimated with the inner-core component. Column 5, central electron density for the outer-core component. Column 6, cooling timescale estimated with the outer-core component. Column 7, central mass density of the cluster estimated with Eq. (A.6). Column 8, r₅₀₀ derived with Eqs. (8) and (A.5). Column 9, M₅₀₀ estimated with Eq. (A.4). Column 10, gas mass within r₅₀₀ determined from the double- $\beta$ gas density profiles (Eq. (A.1)). Column 11, gas-mass fraction within r₅₀₀.
Table 7: Cluster parameters for the single $\beta$ -model. Columns 3-6, and 7-10, overdensity radius, $r_{\Delta }$ and cluster mass, gas mass, and gas-mass fraction within $r_{\Delta }$ . The definitions of the parameters are the same as those described in Sect. 5.2.1 but the overdensities of $\Delta _{\rm c}=500\Omega ^{0.427}$ and $18\pi ^2\Omega ^{0.427}$ are assumed, respectively.