theta:           angle (arcsec)
 theta_arcmin:    angle (arcmin)
 energy:          (keV)
 SB_hrma          full HRMA surface brightness (cts s^-1 arcsec^-1)/source cts s^-1)
 E_ex_hrma:       excluded energy; fraction of the PSF exterior to theta
 SB_1             shell 1 surface brightness (cts s^-1 arcsec^-1)/(source cts s^-1)
 SB_3             shell 3 surface brightness (cts s^-1 arcsec^-1)/(source cts s^-1)
 SB_4             shell 4 surface brightness (cts s^-1 arcsec^-1)/(source cts s^-1)
 SB_6             shell 6 surface brightness (cts s^-1 arcsec^-1)/(source cts s^-1)
 f_1:             shell 1 spatial frequency (mm^-1)
 f_3:             shell 3 spatial frequency (mm^-1)
 f_4:             shell 4 spatial frequency (mm^-1)
 f_6:             shell 6 spatial frequency (mm^-1)
 twoW_1           shell 1 2W1(f)  (Angstrom^2 mm)
 twoW_3           shell 3 2W1(f)  (Angstrom^2 mm)
 twoW_4           shell 4 2W1(f)  (Angstrom^2 mm)
 twoW_6           shell 6 2W1(f)  (Angstrom^2 mm)
 twoW_hrma        HRMA    2W1(f)  (Angstrom^2 mm)
 A_eff_1          shell 1 effective area (35 mm on-axis) (cm^2)
 A_eff_3          shell 3 effective area (35 mm on-axis) (cm^2)
 A_eff_4          shell 4 effective area (35 mm on-axis) (cm^2)
 A_eff_6          shell 6 effective area (35 mm on-axis) (cm^2)
 A_eff_hrma       hrma  effective area (35 mm on-axis) (cm^2)
: A_eff_1 = 315.4459
: A_eff_3 = 211.7235
: A_eff_4 = 169.6331
: A_eff_6 = 96.1752
: A_eff_hrma = 792.2064
: energy = 0.5
energy theta theta_arcmin SB_hrma E_ex_hrma SB_1 SB_3 SB_4 SB_6 f_1 f_3 f_4 f_6 twoW1_hrma twoW1_1 twoW1_3 twoW1_4 twoW1_6
0.5 55.2 0.920 2.783e-08 0.001 3.142e-08 1.270e-08 2.947e-08 4.625e-08 1.61 1.29 1.14 0.85 7.828e+00 3.285e+00 2.548e+00 8.575e+00 3.297e+01
0.5 58.0 0.966 2.465e-08 0.001 2.856e-08 1.138e-08 2.550e-08 3.934e-08 1.69 1.36 1.20 0.89 7.132e+00 3.135e+00 2.398e+00 7.790e+00 2.945e+01
0.5 60.9 1.014 2.185e-08 0.001 2.596e-08 1.020e-08 2.206e-08 3.346e-08 1.77 1.43 1.26 0.93 6.502e+00 2.992e+00 2.257e+00 7.076e+00 2.630e+01
0.5 63.9 1.065 1.938e-08 0.001 2.359e-08 9.143e-09 1.908e-08 2.846e-08 1.86 1.50 1.32 0.98 5.932e+00 2.855e+00 2.124e+00 6.428e+00 2.348e+01
0.5 67.1 1.118 1.720e-08 0.001 2.144e-08 8.194e-09 1.651e-08 2.420e-08 1.95 1.57 1.39 1.03 5.415e+00 2.725e+00 1.999e+00 5.839e+00 2.097e+01
0.5 70.4 1.174 1.528e-08 0.001 1.949e-08 7.344e-09 1.428e-08 2.058e-08 2.05 1.65 1.46 1.08 4.947e+00 2.601e+00 1.881e+00 5.303e+00 1.873e+01
0.5 74.0 1.233 1.358e-08 0.001 1.771e-08 6.582e-09 1.236e-08 1.751e-08 2.15 1.73 1.53 1.14 4.523e+00 2.482e+00 1.770e+00 4.817e+00 1.672e+01
0.5 77.7 1.294 1.208e-08 0.001 1.610e-08 5.898e-09 1.069e-08 1.489e-08 2.26 1.82 1.61 1.19 4.138e+00 2.368e+00 1.665e+00 4.376e+00 1.493e+01
0.5 81.5 1.359 1.076e-08 0.001 1.463e-08 5.286e-09 9.245e-09 1.266e-08 2.37 1.91 1.69 1.25 3.788e+00 2.260e+00 1.567e+00 3.974e+00 1.333e+01
0.5 85.6 1.427 9.581e-09 0.001 1.330e-08 4.737e-09 7.997e-09 1.076e-08 2.49 2.01 1.77 1.31 3.471e+00 2.157e+00 1.475e+00 3.610e+00 1.190e+01
0.5 89.9 1.498 8.540e-09 0.001 1.209e-08 4.246e-09 6.918e-09 9.153e-09 2.62 2.11 1.86 1.38 3.183e+00 2.058e+00 1.388e+00 3.278e+00 1.063e+01
0.5 94.4 1.573 7.616e-09 0.001 1.098e-08 3.805e-09 5.984e-09 7.783e-09 2.75 2.21 1.95 1.45 2.921e+00 1.964e+00 1.306e+00 2.978e+00 9.489e+00
0.5 99.1 1.652 6.797e-09 0.001 9.982e-09 3.410e-09 5.175e-09 6.617e-09 2.89 2.32 2.05 1.52 2.682e+00 1.874e+00 1.229e+00 2.704e+00 8.471e+00
0.5 104.1 1.735 6.070e-09 0.001 9.071e-09 3.055e-09 4.476e-09 5.626e-09 3.03 2.44 2.15 1.60 2.465e+00 1.788e+00 1.156e+00 2.456e+00 7.562e+00
0.5 109.3 1.821 5.424e-09 0.001 8.243e-09 2.738e-09 3.872e-09 4.783e-09 3.18 2.56 2.26 1.68 2.267e+00 1.706e+00 1.088e+00 2.230e+00 6.750e+00
0.5 114.7 1.912 4.849e-09 0.001 7.491e-09 2.454e-09 3.348e-09 4.066e-09 3.34 2.69 2.38 1.76 2.087e+00 1.628e+00 1.024e+00 2.025e+00 6.026e+00
0.5 120.5 2.008 4.338e-09 0.001 6.807e-09 2.199e-09 2.896e-09 3.456e-09 3.51 2.82 2.49 1.85 1.923e+00 1.553e+00 9.631e-01 1.839e+00 5.378e+00
0.5 126.5 2.108 3.882e-09 0.001 6.185e-09 1.970e-09 2.504e-09 2.938e-09 3.68 2.96 2.62 1.94 1.773e+00 1.482e+00 9.062e-01 1.670e+00 4.800e+00
0.5 132.8 2.214 3.477e-09 0.001 5.620e-09 1.766e-09 2.166e-09 2.497e-09 3.87 3.11 2.75 2.04 1.636e+00 1.414e+00 8.526e-01 1.517e+00 4.284e+00
0.5 139.5 2.325 3.115e-09 0.001 5.106e-09 1.582e-09 1.873e-09 2.122e-09 4.06 3.27 2.89 2.14 1.511e+00 1.349e+00 8.022e-01 1.377e+00 3.823e+00
0.5 146.4 2.441 2.792e-09 0.001 4.640e-09 1.418e-09 1.620e-09 1.804e-09 4.26 3.43 3.03 2.25 1.396e+00 1.287e+00 7.547e-01 1.250e+00 3.412e+00
0.5 153.8 2.563 2.504e-09 0.001 4.215e-09 1.270e-09 1.400e-09 1.533e-09 4.48 3.60 3.18 2.36 1.291e+00 1.228e+00 7.101e-01 1.135e+00 3.044e+00
0.5 161.5 2.691 2.247e-09 0.001 3.830e-09 1.138e-09 1.211e-09 1.302e-09 4.70 3.78 3.34 2.48 1.195e+00 1.171e+00 6.681e-01 1.031e+00 2.716e+00
0.5 169.5 2.826 2.016e-09 0.001 3.479e-09 1.020e-09 1.047e-09 1.107e-09 4.94 3.97 3.51 2.60 1.107e+00 1.117e+00 6.285e-01 9.356e-01 2.423e+00
0.5 178.0 2.967 1.811e-09 0.001 3.161e-09 9.137e-10 9.051e-10 9.403e-10 5.18 4.17 3.68 2.73 1.027e+00 1.066e+00 5.913e-01 8.493e-01 2.162e+00
0.5 186.9 3.115 1.631e-09 0.001 2.871e-09 8.186e-10 8.022e-10 7.988e-10 5.44 4.38 3.87 2.87 9.568e-01 1.017e+00 5.563e-01 7.904e-01 1.928e+00
0.5 196.3 3.271 1.472e-09 0.001 2.608e-09 7.334e-10 7.219e-10 6.785e-10 5.71 4.60 4.06 3.01 8.946e-01 9.696e-01 5.233e-01 7.469e-01 1.720e+00
0.5 206.1 3.434 1.328e-09 0.001 2.369e-09 6.571e-10 6.497e-10 5.764e-10 6.00 4.83 4.27 3.16 8.371e-01 9.247e-01 4.923e-01 7.057e-01 1.534e+00
0.5 216.4 3.606 1.199e-09 0.001 2.152e-09 5.887e-10 5.846e-10 4.895e-10 6.30 5.07 4.48 3.32 7.838e-01 8.819e-01 4.631e-01 6.668e-01 1.368e+00
0.5 227.2 3.787 1.082e-09 0.001 1.954e-09 5.274e-10 5.260e-10 4.157e-10 6.62 5.32 4.70 3.49 7.343e-01 8.410e-01 4.356e-01 6.300e-01 1.220e+00
0.5 238.6 3.976 9.772e-10 0.001 1.775e-09 4.725e-10 4.733e-10 3.530e-10 6.95 5.59 4.94 3.66 6.883e-01 8.020e-01 4.097e-01 5.952e-01 1.088e+00
0.5 250.5 4.175 8.825e-10 0.001 1.612e-09 4.232e-10 4.258e-10 2.997e-10 7.29 5.87 5.19 3.85 6.456e-01 7.648e-01 3.854e-01 5.622e-01 9.695e-01
0.5 263.0 4.383 7.971e-10 0.001 1.464e-09 3.791e-10 3.831e-10 2.544e-10 7.66 6.16 5.44 4.04 6.059e-01 7.292e-01 3.625e-01 5.311e-01 8.642e-01
0.5 276.2 4.603 7.200e-10 0.001 1.329e-09 3.396e-10 3.446e-10 2.160e-10 8.04 6.47 5.72 4.24 5.689e-01 6.953e-01 3.409e-01 5.016e-01 7.703e-01
0.5 290.0 4.833 6.505e-10 0.001 1.207e-09 3.042e-10 3.100e-10 1.833e-10 8.44 6.79 6.00 4.45 5.344e-01 6.629e-01 3.207e-01 4.738e-01 6.864e-01
0.5 304.5 5.074 5.887e-10 0.001 1.096e-09 2.725e-10 2.788e-10 1.633e-10 8.87 7.13 6.30 4.68 5.060e-01 6.319e-01 3.016e-01 4.474e-01 6.421e-01
0.5 319.7 5.328 5.331e-10 0.001 9.948e-10 2.440e-10 2.507e-10 1.487e-10 9.31 7.49 6.62 4.91 4.807e-01 6.024e-01 2.836e-01 4.225e-01 6.139e-01
0.5 335.7 5.594 4.827e-10 0.001 9.031e-10 2.186e-10 2.255e-10 1.354e-10 9.77 7.86 6.95 5.15 4.566e-01 5.742e-01 2.667e-01 3.989e-01 5.868e-01
0.5 352.4 5.874 4.371e-10 0.000 8.198e-10 1.957e-10 2.027e-10 1.232e-10 10.26 8.26 7.30 5.41 4.337e-01 5.473e-01 2.508e-01 3.767e-01 5.608e-01
0.5 370.1 6.168 3.958e-10 0.000 7.441e-10 1.753e-10 1.823e-10 1.121e-10 10.78 8.67 7.66 5.68 4.119e-01 5.216e-01 2.358e-01 3.556e-01 5.359e-01
0.5 388.6 6.476 3.583e-10 0.000 6.753e-10 1.570e-10 1.639e-10 1.020e-10 11.31 9.10 8.04 5.97 3.912e-01 4.970e-01 2.218e-01 3.356e-01 5.120e-01
0.5 408.0 6.800 3.244e-10 0.000 6.128e-10 1.406e-10 1.473e-10 9.282e-11 11.88 9.56 8.45 6.27 3.715e-01 4.736e-01 2.085e-01 3.168e-01 4.891e-01
0.5 428.4 7.140 2.937e-10 0.000 5.561e-10 1.259e-10 1.324e-10 8.443e-11 12.47 10.04 8.87 6.58 3.528e-01 4.513e-01 1.960e-01 2.990e-01 4.671e-01
0.5 449.8 7.497 2.658e-10 0.000 5.046e-10 1.127e-10 1.190e-10 7.678e-11 13.10 10.54 9.31 6.91 3.350e-01 4.299e-01 1.843e-01 2.821e-01 4.460e-01
0.5 472.3 7.872 2.406e-10 0.000 4.578e-10 1.009e-10 1.069e-10 6.981e-11 13.75 11.07 9.78 7.25 3.181e-01 4.095e-01 1.733e-01 2.662e-01 4.258e-01
0.5 495.9 8.266 2.178e-10 0.000 4.152e-10 9.033e-11 9.606e-11 6.346e-11 14.44 11.62 10.27 7.62 3.020e-01 3.901e-01 1.629e-01 2.511e-01 4.064e-01
0.5 520.7 8.679 1.971e-10 0.000 3.766e-10 8.087e-11 8.629e-11 5.767e-11 15.16 12.20 10.78 8.00 2.866e-01 3.715e-01 1.531e-01 2.369e-01 3.878e-01
0.5 546.8 9.113 1.783e-10 0.000 3.416e-10 7.239e-11 7.751e-11 5.240e-11 15.92 12.81 11.32 8.40 2.721e-01 3.538e-01 1.439e-01 2.234e-01 3.700e-01
0.5 574.1 9.568 1.613e-10 0.000 3.098e-10 6.479e-11 6.961e-11 4.760e-11 16.72 13.45 11.88 8.82 2.582e-01 3.368e-01 1.352e-01 2.106e-01 3.529e-01
0.5 602.8 10.047 1.460e-10 0.000 2.809e-10 5.799e-11 6.250e-11 4.322e-11 17.55 14.12 12.48 9.26 2.450e-01 3.207e-01 1.271e-01 1.986e-01 3.365e-01
0.5 632.9 10.549 1.320e-10 0.000 2.546e-10 5.190e-11 5.611e-11 3.924e-11 18.43 14.83 13.10 9.72 2.325e-01 3.052e-01 1.194e-01 1.872e-01 3.208e-01
0.5 664.6 11.077 1.194e-10 0.000 2.308e-10 4.644e-11 5.037e-11 3.561e-11 19.35 15.57 13.76 10.21 2.206e-01 2.905e-01 1.122e-01 1.764e-01 3.057e-01
0.5 697.8 11.630 1.080e-10 0.000 2.092e-10 4.156e-11 4.520e-11 3.231e-11 20.32 16.35 14.45 10.72 2.092e-01 2.765e-01 1.054e-01 1.663e-01 2.912e-01
0.5 732.7 12.212 9.765e-11 0.000 1.895e-10 3.718e-11 4.056e-11 2.931e-11 21.33 17.17 15.17 11.25 1.984e-01 2.630e-01 9.905e-02 1.566e-01 2.773e-01
0.5 769.4 12.823 8.828e-11 0.000 1.717e-10 3.327e-11 3.638e-11 2.657e-11 22.40 18.03 15.93 11.81 1.882e-01 2.502e-01 9.304e-02 1.476e-01 2.640e-01
0.5 807.8 13.464 7.980e-11 0.000 1.555e-10 2.976e-11 3.263e-11 2.409e-11 23.52 18.93 16.72 12.40 1.784e-01 2.380e-01 8.739e-02 1.390e-01 2.513e-01
0.5 848.2 14.137 7.212e-11 0.000 1.409e-10 2.662e-11 2.926e-11 2.182e-11 24.70 19.87 17.56 13.02 1.691e-01 2.263e-01 8.208e-02 1.308e-01 2.391e-01
0.5 890.6 14.844 6.517e-11 0.000 1.276e-10 2.381e-11 2.623e-11 1.977e-11 25.93 20.87 18.44 13.68 1.603e-01 2.152e-01 7.708e-02 1.232e-01 2.274e-01
0.5 935.2 15.586 5.888e-11 0.000 1.155e-10 2.129e-11 2.351e-11 1.789e-11 27.23 21.91 19.36 14.36 1.519e-01 2.046e-01 7.238e-02 1.159e-01 2.161e-01
0.5 981.9 16.365 5.319e-11 0.000 1.045e-10 1.904e-11 2.107e-11 1.619e-11 28.59 23.01 20.33 15.08 1.439e-01 1.944e-01 6.795e-02 1.090e-01 2.053e-01
0.5 1031.0 17.183 4.803e-11 0.000 9.459e-11 1.702e-11 1.887e-11 1.465e-11 30.02 24.16 21.34 15.83 1.362e-01 1.847e-01 6.379e-02 1.026e-01 1.950e-01
0.5 1082.6 18.043 4.337e-11 0.000 8.558e-11 1.521e-11 1.690e-11 1.324e-11 31.52 25.36 22.41 16.62 1.290e-01 1.755e-01 5.988e-02 9.644e-02 1.851e-01
0.5 1136.7 18.945 3.915e-11 0.000 7.740e-11 1.360e-11 1.513e-11 1.197e-11 33.10 26.63 23.53 17.45 1.221e-01 1.666e-01 5.620e-02 9.066e-02 1.757e-01
0.5 1193.5 19.892 3.533e-11 0.000 6.999e-11 1.215e-11 1.354e-11 1.081e-11 34.75 27.96 24.71 18.33 1.156e-01 1.582e-01 5.273e-02 8.519e-02 1.666e-01
0.5 1253.2 20.887 3.187e-11 0.000 6.327e-11 1.086e-11 1.212e-11 9.755e-12 36.49 29.36 25.94 19.24 1.093e-01 1.502e-01 4.948e-02 8.003e-02 1.579e-01
0.5 1315.9 21.931 2.875e-11 0.000 5.718e-11 9.702e-12 1.084e-11 8.800e-12 38.31 30.83 27.24 20.21 1.034e-01 1.425e-01 4.641e-02 7.516e-02 1.496e-01
0.5 1381.6 23.027 2.592e-11 0.000 5.166e-11 8.667e-12 9.687e-12 7.934e-12 40.23 32.37 28.60 21.22 9.776e-02 1.352e-01 4.353e-02 7.055e-02 1.416e-01
0.5 1450.7 24.179 2.337e-11 0.000 4.666e-11 7.741e-12 8.658e-12 7.148e-12 42.24 33.99 30.03 22.28 9.240e-02 1.282e-01 4.082e-02 6.621e-02 1.339e-01
0.5 1523.3 25.388 2.106e-11 0.000 4.213e-11 6.912e-12 7.734e-12 6.436e-12 44.35 35.69 31.53 23.39 8.730e-02 1.216e-01 3.828e-02 6.210e-02 1.266e-01
0.5 1599.4 26.657 1.897e-11 0.000 3.802e-11 6.171e-12 6.906e-12 5.791e-12 46.57 37.47 33.11 24.56 8.245e-02 1.152e-01 3.588e-02 5.823e-02 1.196e-01
0.5 1679.4 27.990 1.708e-11 0.000 3.431e-11 5.508e-12 6.164e-12 5.207e-12 48.90 39.35 34.76 25.79 7.784e-02 1.091e-01 3.363e-02 5.457e-02 1.129e-01
0.5 1763.4 29.389 1.538e-11 0.000 3.094e-11 4.916e-12 5.500e-12 4.678e-12 51.35 41.32 36.50 27.08 7.345e-02 1.033e-01 3.151e-02 5.112e-02 1.065e-01
0.5 1851.5 30.859 1.384e-11 0.000 2.789e-11 4.386e-12 4.904e-12 4.199e-12 53.91 43.38 38.33 28.43 6.928e-02 9.783e-02 2.952e-02 4.786e-02 1.004e-01
0.5 1944.1 32.402 1.245e-11 0.000 2.514e-11 3.912e-12 4.371e-12 3.766e-12 56.61 45.55 40.24 29.85 6.532e-02 9.256e-02 2.765e-02 4.479e-02 9.456e-02
0.5 2041.3 34.022 1.119e-11 0.000 2.264e-11 3.489e-12 3.893e-12 3.375e-12 59.44 47.83 42.26 31.35 6.155e-02 8.755e-02 2.589e-02 4.189e-02 8.897e-02