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Table 1:

Properties of the z>0.3 cluster sample described in Balestra et al. (2007).

Cluster
z $kT_{\rm gas}$ (a0,a1,a2/10-3,a3,a4,a6) $R_{\rm spat}$ $R_{\rm spec}$ R500 $f_{\rm gas}$ $\hat{R}_{500}$ $\hat{f}_{\rm gas}$
    keV   kpc kpc kpc (<R500) kpc (<R500)
MS 1008.1-1224 0.306 $6.90\pm0.35$ (0.928,0.028,3.9,0.39,1.13,0.44) 688 490 $1176\pm116$ $0.135\pm0.045$ $1303\pm179$ $0.112\pm0.044$
MS 2137.3-2353 0.313 $5.05\pm0.11$ (0.028,0.204,93.3,0.37,0.53,0.47) 698 362 $940\pm26$ $0.152\pm0.016$ $997\pm35$ $0.135\pm0.016$
A1995 0.320 $8.61\pm0.35$ (0.142,0.290,7.3,0.32,0.30,1.56) 855 479 $1317\pm46$ $0.091\pm0.011$ $1429\pm60$ $0.076\pm0.010$
MACS-J 0308.9+2645 0.324 $12.73\pm1.02$ (0.104,0.230,11.2,0.30,0.30,0.96) 1039 577 $1423\pm68$ $0.131\pm0.020$ $1491\pm77$ $0.120\pm0.017$
ZW 1358.1+6245 0.328 $6.78\pm0.28$ (0.006,0.400,143.5,0.00,0.35,1.40) 869 419 $1157\pm73$ $0.106\pm0.021$ $1256\pm100$ $0.090\pm0.019$
MACS-J 0404.6+1109 0.355 $7.38\pm0.90$ (0.105,0.125,4.6,0.00,0.30,0.19) 1398 782 $887\pm63$ $0.205\pm0.039$ $850\pm68$ $0.215\pm0.038$
RXJ 0027.6+2616 0.367 $8.76\pm1.69$ (0.676,0.163,2.0,0.35,0.89,0.62) 642 550 $1299\pm269$ $0.067\pm0.054$ $1421\pm351$ $0.055\pm0.048$
MACS-J 1720.2+3536 0.391 $6.46\pm0.33$ (0.010,0.533,161.4,0.00,0.40,2.03) 974 546 $1200\pm104$ $0.103\pm0.034$ $1345\pm143$ $0.078\pm0.028$
ZW 0024.0+1652 0.395 $4.32\pm0.32$ (0.375,0.010,13.2,0.17,0.66,0.60) 672 341 $879\pm100$ $0.098\pm0.035$ $957\pm144$ $0.083\pm0.031$
V1416+4446 0.400 $3.43\pm0.20$ (0.008,0.544,72.5,0.00,0.36,2.19) 677 397 $797\pm100$ $0.135\pm0.058$ $894\pm148$ $0.110\pm0.058$
MACS-J 0159.8-0849 0.405 $9.43\pm0.61$ (0.011,0.302,167.0,0.09,0.40,0.86) 994 639 $1214\pm62$ $0.139\pm0.025$ $1286\pm81$ $0.125\pm0.022$
MACS-J 2228.5+2036 0.412 $8.25\pm0.59$ (0.240,0.079,6.4,0.42,0.48,0.23) 1211 753 $1052\pm61$ $0.217\pm0.033$ $1091\pm82$ $0.205\pm0.032$
MS 0302.7+1658 0.424 $4.78\pm0.60$ (0.015,0.361,50.7,0.00,0.37,2.50) 369 328 $1041\pm92$ $0.055\pm0.023$ $1167\pm104$ $0.041\pm0.016$
MS 1621.5+2640 0.426 $7.22\pm0.75$ (0.248,0.212,3.9,0.12,0.30,0.96) 1003 658 $977\pm79$ $0.153\pm0.040$ $1006\pm106$ $0.146\pm0.039$
MACS-J 0417.5-1154 0.440 $10.84\pm0.98$ (0.015,1.000,137.1,0.00,0.40,1.58) 1259 785 $1340\pm105$ $0.201\pm0.043$ $1465\pm141$ $0.171\pm0.036$
MACS-J 1206.2-0847 0.440 $11.98\pm0.85$ (0.012,0.316,82.9,0.00,0.30,1.11) 1259 785 $1336\pm75$ $0.161\pm0.028$ $1416\pm95$ $0.144\pm0.025$
V1701+6414 0.453 $4.36\pm0.28$ (0.011,0.842,66.4,0.00,0.39,2.50) 729 370 $826\pm98$ $0.146\pm0.051$ $910\pm150$ $0.123\pm0.050$
CL1641+4001 0.464 $4.74\pm0.54$ (1.000,0.135,1.7,0.44,0.30,1.34) 341 287 $848\pm139$ $0.079\pm0.059$ $902\pm189$ $0.070\pm0.055$
MACS-J 1621.4+3810 0.465 $6.62\pm0.74$ (0.301,0.010,139.1,0.00,0.30,1.14) 893 458 $980\pm102$ $0.152\pm0.041$ $1037\pm146$ $0.137\pm0.037$
MACS-J 1824.3+4309 0.487 $9.69\pm2.82$ (0.034,0.343,7.6,1.50,0.30,0.00) 765 506 $930\pm189$ $0.136\pm0.072$ $873\pm223$ $0.145\pm0.069$
MACS-J 1311.0-0311 0.492 $8.17\pm0.86$ (0.086,0.029,39.8,0.00,0.44,0.59) 631 478 $1055\pm72$ $0.106\pm0.026$ $1112\pm85$ $0.096\pm0.023$
V1525+0958 0.516 $5.54\pm0.40$ (0.740,0.092,4.2,0.00,1.20,0.59) 834 490 $901\pm113$ $0.137\pm0.050$ $1002\pm168$ $0.115\pm0.048$
MS 0451.6-0305 0.540 $9.11\pm0.45$ (0.481,0.082,14.4,0.02,0.82,0.71) 1167 625 $1292\pm86$ $0.129\pm0.025$ $1446\pm124$ $0.099\pm0.020$
MS 0015.9+1609 0.541 $9.59\pm0.43$ (1.000,0.256,3.5,0.38,0.54,1.18) 1408 626 $1177\pm54$ $0.180\pm0.020$ $1279\pm78$ $0.155\pm0.018$
MACS-J 1149.5+2223 0.544 $13.10\pm1.12$ (0.769,0.225,5.0,0.00,1.20,0.46) 1147 944 $1536\pm150$ $0.103\pm0.031$ $1734\pm201$ $0.079\pm0.025$
MACS-J 1423.8+2404 0.545 $7.55\pm0.59$ (0.019,0.875,164.6,0.00,0.52,2.50) 805 504 $1176\pm138$ $0.091\pm0.041$ $1343\pm187$ $0.067\pm0.033$
V1121+2327 0.562 $5.24\pm0.37$ (0.811,0.590,1.4,0.36,1.20,2.50) 647 447 $1053\pm167$ $0.071\pm0.043$ $1217\pm225$ $0.050\pm0.031$
SC1120-1202 0.562 $6.35\pm1.15$ (0.039,0.037,12.9,0.00,0.30,0.47) 297 318 $795\pm132$ $0.083\pm0.057$ $795\pm163$ $0.082\pm0.058$
RXJ 0848.7+4456 0.570 $3.42\pm0.35$ (0.150,0.119,2.8,0.44,0.30,0.90) 380 196 $648\pm91$ $0.074\pm0.039$ $679\pm127$ $0.068\pm0.039$
MACS-J 2129.4-0741 0.570 $9.17\pm0.90$ (0.105,0.830,14.4,0.32,0.48,2.50) 1199 639 $1339\pm81$ $0.089\pm0.014$ $1526\pm92$ $0.066\pm0.009$
MS 2053.7-0449 0.583 $5.77\pm0.51$ (1.000,0.191,1.0,0.71,0.30,1.21) 568 357 $903\pm132$ $0.075\pm0.036$ $975\pm183$ $0.065\pm0.033$
MACS-J 0647.7+7015 0.584 $12.79\pm1.59$ (1.000,0.311,2.7,0.57,0.30,1.92) 832 584 $1440\pm149$ $0.077\pm0.027$ $1586\pm192$ $0.061\pm0.021$
RXJ 0956.0+4107 0.587 $7.59\pm2.00$ (1.000,0.138,3.5,0.00,1.18,0.91) 450 424 $1046\pm332$ $0.088\pm0.130$ $1152\pm457$ $0.072\pm0.122$
CL 0542.8-4100 0.634 $8.36\pm1.09$ (1.000,0.168,2.2,0.41,0.30,1.03) 714 539 $946\pm116$ $0.126\pm0.045$ $984\pm164$ $0.119\pm0.043$
RCS-J 1419.2+5326 0.640 $4.35\pm0.74$ (0.053,0.043,29.0,0.00,0.30,0.72) 276 303 $685\pm140$ $0.157\pm0.114$ $709\pm192$ $0.148\pm0.107$
MACS-J 0744.9+3927 0.686 $9.58\pm0.67$ (0.010,0.217,159.7,0.00,0.36,0.59) 1079 695 $963\pm43$ $0.192\pm0.026$ $995\pm53$ $0.183\pm0.024$
RXJ 1221.4+4918 0.700 $8.37\pm0.82$ (1.000,0.308,2.1,0.28,0.30,1.63) 901 562 $990\pm81$ $0.114\pm0.026$ $1064\pm103$ $0.101\pm0.022$
RXJ 1113.1-2615 0.730 $5.92\pm0.76$ (0.327,0.035,12.9,0.00,1.15,0.79) 290 286 $934\pm177$ $0.039\pm0.058$ $1046\pm238$ $0.030\pm0.049$
RXJ 2302.8+0844 0.734 $8.39\pm1.35$ (0.116,0.103,7.0,0.00,0.30,0.78) 930 393 $856\pm84$ $0.090\pm0.028$ $876\pm95$ $0.087\pm0.026$
MS 1137.5+6624 0.782 $6.87\pm0.52$ (0.067,0.427,20.4,0.00,0.47,2.18) 590 367 $893\pm123$ $0.089\pm0.040$ $968\pm172$ $0.075\pm0.037$
RXJ 1317.4+2911 0.805 $4.51\pm1.17$ (0.110,1.000,3.6,0.45,0.60,1.20) 202 184 $693\pm112$ $0.042\pm0.026$ $751\pm130$ $0.037\pm0.021$
RXJ 1350.0+6007 0.810 $4.44\pm0.67$ (1.000,0.538,0.6,0.78,0.30,2.50) 526 483 $615\pm146$ $0.151\pm0.102$ $660\pm219$ $0.140\pm0.121$
RXJ 1716.4+6708 0.813 $7.04\pm0.81$ (1.000,0.254,1.5,0.67,0.30,1.79) 565 408 $844\pm124$ $0.110\pm0.055$ $904\pm166$ $0.097\pm0.051$
RXJ 0152.7-1357S 0.828 $9.43\pm2.35$ (0.367,0.533,3.6,0.35,1.20,1.20) 420 400 $1162\pm248$ $0.030\pm0.037$ $1326\pm309$ $0.022\pm0.026$
MS 1054.4-0321 0.832 $7.91\pm0.48$ (1.000,0.323,5.6,0.00,0.30,2.39) 848 599 $962\pm92$ $0.147\pm0.038$ $1067\pm128$ $0.120\pm0.031$
RXJ 0152.7-1357N 0.835 $6.74\pm1.03$ (0.073,0.642,7.8,0.00,0.30,2.50) 582 442 $866\pm179$ $0.117\pm0.094$ $975\pm265$ $0.095\pm0.094$
1WGA-J 1226.9+3332 0.890 $12.14\pm1.38$ (0.077,0.257,29.1,0.00,0.46,0.87) 677 497 $1126\pm166$ $0.085\pm0.040$ $1222\pm226$ $0.071\pm0.035$
CL 1415.1+3612 1.030 $6.93\pm0.74$ (0.040,0.316,18.2,1.02,0.30,2.50) 425 318 $857\pm93$ $0.059\pm0.026$ $960\pm121$ $0.045\pm0.020$
RDCS-J0910+5422 1.106 $6.43\pm1.41$ (0.147,1.000,3.4,0.58,0.36,1.20) 230 201 $576\pm144$ $0.117\pm0.092$ $570\pm208$ $0.116\pm0.096$
RDCS-J1252-2927 1.235 $7.57\pm1.18$ (1.000,0.089,4.0,0.32,0.30,1.20) 329 287 $636\pm123$ $0.079\pm0.061$ $662\pm172$ $0.073\pm0.061$
RDCS-J0849+4452 1.261 $5.21\pm1.31$ (0.046,1.000,10.3,0.00,0.36,1.20) 222 197 $504\pm152$ $0.103\pm0.100$ $512\pm216$ $0.099\pm0.103$
RDCS-J0848+4453 1.273 $3.75\pm1.86$ (0.069,1.000,6.8,0.00,0.60,1.20) 112 165 $432\pm151$ $0.052\pm0.295$ $456\pm192$ $0.047\pm0.436$
Column (1): name; Col. (2): adopted redshift; Col. (3): best-fit gas temperature within $R_{\rm spec}$; Col. (4): best-fit parameters of the gas density profile in Eq. (5) fitted over the radial range $0{-}R_{\rm spat}$; Col. (5): outer radius $R_{\rm spat}$ where the signal-to-noise ratio is above 2; Col. (6): radius $R_{\rm spec}$ of the circular region adopted in the spectral fit; Cols. (7-8): R500 and $f_{\rm gas}$ estimated by assuming the temperature profile in Eq. (6); Cols. (9-10): R500 and $f_{\rm gas}$ estimated by assuming a constant temperature equal to $kT_{\rm gas}$. A cosmology of $(H_0, \Omega _{\rm m}, \Omega _{\Lambda }) = (70$ km s-1 Mpc -1, 0.3, 0.7) is adopted here.

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