Incident particle is a Muon with M = 105.65839 MeV Index = 106: aluminum oxide (sapphire, Al\sub{2}O\sub{3}) Absorber with = 0.49038, density = 3.970 Sternheimer coef: a k=m_s x_0 x_1 I[eV] Cbar delta0 0.0850 3.5458 0.0402 2.8665 145.2 3.5682 0.00 (Restricted energy loss for Tcut = 0.05 MeV Table written with (1X, 1P9E10.3,0PF8.4,f8.5,1pE10.3) post-Born included in pair prod *** Results below 10 MeV are not dependable *** T p Ionization brems pair photonuc Radloss dE/dx CSDA Range delta beta dE/dx_R [MeV] [MeV/c] -----------------------[MeV cm^2/g]------------------------ [g/cm^2] [MeV cm^2/g] 1.000E+00 1.457E+01 2.569E+00 0.000E+00 0.000E+00 4.788E-05 4.788E-05 5.139E+00 2.388E-03 0.0000 0.13661 3.932E+01 1.200E+00 1.597E+01 3.407E+01 0.000E+00 0.000E+00 4.797E-05 4.797E-05 3.407E+01 7.868E-03 0.0000 0.14944 3.407E+01 1.400E+00 1.726E+01 3.016E+01 0.000E+00 0.000E+00 4.806E-05 4.806E-05 3.016E+01 1.412E-02 0.0000 0.16119 3.016E+01 1.700E+00 1.903E+01 2.585E+01 0.000E+00 0.000E+00 4.819E-05 4.819E-05 2.585E+01 2.490E-02 0.0000 0.17725 2.585E+01 2.000E+00 2.066E+01 2.272E+01 0.000E+00 0.000E+00 4.833E-05 4.833E-05 2.272E+01 3.731E-02 0.0000 0.19186 2.272E+01 2.500E+00 2.312E+01 1.901E+01 0.000E+00 0.000E+00 4.855E-05 4.855E-05 1.901E+01 6.148E-02 0.0000 0.21376 1.901E+01 3.000E+00 2.536E+01 1.644E+01 0.000E+00 0.000E+00 4.878E-05 4.878E-05 1.644E+01 8.985E-02 0.0000 0.23336 1.624E+01 3.500E+00 2.742E+01 1.454E+01 0.000E+00 0.000E+00 4.900E-05 4.900E-05 1.454E+01 1.223E-01 0.0000 0.25120 1.419E+01 4.000E+00 2.935E+01 1.308E+01 0.000E+00 0.000E+00 4.923E-05 4.923E-05 1.308E+01 1.586E-01 0.0000 0.26763 1.264E+01 4.500E+00 3.116E+01 1.191E+01 0.000E+00 0.000E+00 4.945E-05 4.945E-05 1.191E+01 1.987E-01 0.0000 0.28290 1.141E+01 5.000E+00 3.289E+01 1.096E+01 0.000E+00 0.000E+00 4.968E-05 4.968E-05 1.096E+01 2.425E-01 0.0000 0.29720 1.043E+01 5.500E+00 3.453E+01 1.017E+01 0.000E+00 0.000E+00 4.990E-05 4.990E-05 1.017E+01 2.898E-01 0.0000 0.31066 9.614E+00 6.000E+00 3.611E+01 9.506E+00 0.000E+00 0.000E+00 5.013E-05 5.013E-05 9.506E+00 3.407E-01 0.0000 0.32339 8.930E+00 7.000E+00 3.909E+01 8.435E+00 0.000E+00 0.000E+00 5.057E-05 5.057E-05 8.435E+00 4.526E-01 0.0000 0.34700 7.847E+00 8.000E+00 4.189E+01 7.614E+00 0.000E+00 0.000E+00 5.102E-05 5.102E-05 7.614E+00 5.776E-01 0.0000 0.36854 7.025E+00 9.000E+00 4.453E+01 6.964E+00 0.000E+00 0.000E+00 5.147E-05 5.147E-05 6.964E+00 7.151E-01 0.0000 0.38836 6.380E+00 1.000E+01 4.704E+01 6.435E+00 0.000E+00 0.000E+00 5.192E-05 5.192E-05 6.435E+00 8.647E-01 0.0000 0.40675 5.860E+00 1.200E+01 5.177E+01 5.627E+00 0.000E+00 0.000E+00 5.282E-05 5.282E-05 5.627E+00 1.198E+00 0.0000 0.43998 5.072E+00 1.400E+01 5.616E+01 5.037E+00 0.000E+00 0.000E+00 5.372E-05 5.372E-05 5.037E+00 1.575E+00 0.0000 0.46937 4.504E+00 1.700E+01 6.230E+01 4.401E+00 0.000E+00 0.000E+00 5.506E-05 5.506E-05 4.401E+00 2.214E+00 0.0000 0.50792 3.896E+00 2.000E+01 6.802E+01 3.947E+00 0.000E+00 0.000E+00 5.641E-05 5.641E-05 3.947E+00 2.935E+00 0.0000 0.54129 3.467E+00 2.500E+01 7.686E+01 3.425E+00 0.000E+00 0.000E+00 5.865E-05 5.865E-05 3.425E+00 4.301E+00 0.0000 0.58827 2.978E+00 3.000E+01 8.509E+01 3.073E+00 0.000E+00 0.000E+00 6.090E-05 6.090E-05 3.073E+00 5.847E+00 0.0000 0.62720 2.650E+00 3.500E+01 9.285E+01 2.819E+00 0.000E+00 0.000E+00 6.314E-05 6.314E-05 2.820E+00 7.549E+00 0.0000 0.66011 2.415E+00 4.000E+01 1.003E+02 2.630E+00 0.000E+00 0.000E+00 6.539E-05 6.539E-05 2.630E+00 9.387E+00 0.0000 0.68834 2.240E+00 4.500E+01 1.074E+02 2.482E+00 0.000E+00 0.000E+00 6.763E-05 6.763E-05 2.482E+00 1.135E+01 0.0000 0.71286 2.104E+00 5.000E+01 1.143E+02 2.365E+00 3.759E-07 0.000E+00 6.988E-05 7.025E-05 2.365E+00 1.341E+01 0.0000 0.73434 1.996E+00 5.500E+01 1.210E+02 2.269E+00 1.165E-06 0.000E+00 7.212E-05 7.329E-05 2.270E+00 1.557E+01 0.0077 0.75332 1.907E+00 6.000E+01 1.276E+02 2.190E+00 1.977E-06 0.000E+00 7.437E-05 7.634E-05 2.190E+00 1.781E+01 0.0186 0.77019 1.834E+00 7.000E+01 1.403E+02 2.067E+00 3.671E-06 0.000E+00 7.886E-05 8.253E-05 2.067E+00 2.252E+01 0.0432 0.79887 1.719E+00 8.000E+01 1.527E+02 1.977E+00 5.451E-06 0.000E+00 8.334E-05 8.880E-05 1.977E+00 2.747E+01 0.0702 0.82227 1.634E+00 9.000E+01 1.647E+02 1.909E+00 7.315E-06 0.000E+00 8.783E-05 9.515E-05 1.909E+00 3.262E+01 0.0985 0.84166 1.570E+00 1.000E+02 1.764E+02 1.857E+00 9.256E-06 0.000E+00 9.232E-05 1.016E-04 1.857E+00 3.794E+01 0.1277 0.85794 1.519E+00 1.200E+02 1.994E+02 1.783E+00 1.336E-05 0.000E+00 1.013E-04 1.147E-04 1.783E+00 4.894E+01 0.1868 0.88361 1.446E+00 1.400E+02 2.218E+02 1.736E+00 1.773E-05 0.000E+00 1.103E-04 1.280E-04 1.736E+00 6.032E+01 0.2460 0.90278 1.396E+00 1.700E+02 2.546E+02 1.693E+00 2.475E-05 0.000E+00 1.237E-04 1.485E-04 1.693E+00 7.784E+01 0.3331 0.92363 1.347E+00 2.000E+02 2.868E+02 1.669E+00 3.228E-05 0.000E+00 1.372E-04 1.695E-04 1.669E+00 9.570E+01 0.4173 0.93835 1.316E+00 2.500E+02 3.396E+02 1.651E+00 4.579E-05 0.000E+00 1.597E-04 2.055E-04 1.651E+00 1.259E+02 0.5506 0.95485 1.286E+00 2.969E+02 3.884E+02 1.647E+00 6.039E-05 0.000E+00 1.821E-04 2.425E-04 1.648E+00 Minimum ionization 3.000E+02 3.917E+02 1.647E+00 6.039E-05 0.000E+00 1.821E-04 2.425E-04 1.648E+00 1.562E+02 0.6753 0.96548 1.269E+00 3.500E+02 4.432E+02 1.651E+00 7.593E-05 0.000E+00 2.046E-04 2.805E-04 1.651E+00 1.865E+02 0.7921 0.97274 1.259E+00 4.000E+02 4.945E+02 1.657E+00 9.232E-05 0.000E+00 2.270E-04 3.193E-04 1.658E+00 2.167E+02 0.9019 0.97793 1.254E+00 4.500E+02 5.455E+02 1.666E+00 1.095E-04 0.000E+00 2.494E-04 3.589E-04 1.666E+00 2.468E+02 1.0053 0.98176 1.251E+00 5.000E+02 5.964E+02 1.675E+00 1.273E-04 0.000E+00 2.719E-04 3.992E-04 1.675E+00 2.768E+02 1.1032 0.98467 1.249E+00 5.500E+02 6.471E+02 1.684E+00 1.457E-04 0.000E+00 2.943E-04 4.401E-04 1.685E+00 3.065E+02 1.1961 0.98693 1.249E+00 6.000E+02 6.977E+02 1.694E+00 1.648E-04 0.000E+00 3.168E-04 4.816E-04 1.694E+00 3.361E+02 1.2844 0.98873 1.249E+00 7.000E+02 7.987E+02 1.713E+00 2.045E-04 0.000E+00 3.617E-04 5.661E-04 1.713E+00 3.948E+02 1.4491 0.99136 1.250E+00 8.000E+02 8.995E+02 1.730E+00 2.460E-04 0.000E+00 4.066E-04 6.526E-04 1.731E+00 4.529E+02 1.6002 0.99317 1.252E+00 9.000E+02 1.000E+03 1.747E+00 2.893E-04 0.000E+00 4.515E-04 7.408E-04 1.748E+00 5.104E+02 1.7399 0.99447 1.254E+00 1.000E+03 1.101E+03 1.762E+00 3.341E-04 1.303E-05 4.963E-04 8.435E-04 1.763E+00 5.673E+02 1.8698 0.99542 1.256E+00 1.200E+03 1.301E+03 1.789E+00 4.277E-04 7.692E-05 5.861E-04 1.091E-03 1.790E+00 6.799E+02 2.1052 0.99672 1.260E+00 1.400E+03 1.502E+03 1.813E+00 5.261E-04 1.495E-04 6.759E-04 1.352E-03 1.815E+00 7.908E+02 2.3145 0.99753 1.264E+00 1.700E+03 1.803E+03 1.844E+00 6.811E-04 2.723E-04 8.106E-04 1.764E-03 1.845E+00 9.547E+02 2.5907 0.99829 1.268E+00 2.000E+03 2.103E+03 1.869E+00 8.437E-04 4.093E-04 9.485E-04 2.201E-03 1.871E+00 1.116E+03 2.8321 0.99874 1.272E+00 2.500E+03 2.604E+03 1.904E+00 1.129E-03 6.638E-04 1.190E-03 2.983E-03 1.907E+00 1.381E+03 3.1777 0.99918 1.277E+00 3.000E+03 3.104E+03 1.932E+00 1.429E-03 9.457E-04 1.435E-03 3.810E-03 1.936E+00 1.641E+03 3.4714 0.99942 1.281E+00 3.500E+03 3.604E+03 1.956E+00 1.741E-03 1.251E-03 1.683E-03 4.674E-03 1.961E+00 1.897E+03 3.7269 0.99957 1.284E+00 4.000E+03 4.104E+03 1.976E+00 2.064E-03 1.575E-03 1.932E-03 5.571E-03 1.982E+00 2.151E+03 3.9533 0.99967 1.286E+00 4.500E+03 4.604E+03 1.994E+00 2.397E-03 1.917E-03 2.183E-03 6.497E-03 2.000E+00 2.402E+03 4.1566 0.99974 1.288E+00 5.000E+03 5.105E+03 2.009E+00 2.739E-03 2.277E-03 2.431E-03 7.446E-03 2.017E+00 2.651E+03 4.3411 0.99979 1.289E+00 5.500E+03 5.605E+03 2.023E+00 3.093E-03 2.661E-03 2.659E-03 8.413E-03 2.032E+00 2.898E+03 4.5101 0.99982 1.290E+00 6.000E+03 6.105E+03 2.036E+00 3.455E-03 3.058E-03 2.886E-03 9.400E-03 2.045E+00 3.143E+03 4.6660 0.99985 1.292E+00 7.000E+03 7.105E+03 2.058E+00 4.199E-03 3.890E-03 3.339E-03 1.143E-02 2.069E+00 3.629E+03 4.9457 0.99989 1.293E+00 8.000E+03 8.105E+03 2.076E+00 4.966E-03 4.766E-03 3.789E-03 1.352E-02 2.090E+00 4.110E+03 5.1914 0.99992 1.294E+00 9.000E+03 9.105E+03 2.093E+00 5.754E-03 5.680E-03 4.237E-03 1.567E-02 2.108E+00 4.586E+03 5.4105 0.99993 1.295E+00 1.000E+04 1.011E+04 2.107E+00 6.561E-03 6.630E-03 4.682E-03 1.787E-02 2.125E+00 5.059E+03 5.6083 0.99995 1.296E+00 1.200E+04 1.211E+04 2.131E+00 8.235E-03 8.665E-03 5.545E-03 2.244E-02 2.153E+00 5.994E+03 5.9540 0.99996 1.297E+00 1.400E+04 1.411E+04 2.151E+00 9.967E-03 1.081E-02 6.398E-03 2.717E-02 2.178E+00 6.917E+03 6.2494 0.99997 1.298E+00 1.700E+04 1.711E+04 2.175E+00 1.265E-02 1.420E-02 7.664E-03 3.452E-02 2.209E+00 8.285E+03 6.6249 0.99998 1.299E+00 2.000E+04 2.011E+04 2.195E+00 1.543E-02 1.777E-02 8.914E-03 4.211E-02 2.237E+00 9.634E+03 6.9417 0.99999 1.299E+00 2.500E+04 2.511E+04 2.221E+00 2.024E-02 2.416E-02 1.100E-02 5.540E-02 2.277E+00 1.185E+04 7.3799 0.99999 1.300E+00 3.000E+04 3.011E+04 2.242E+00 2.523E-02 3.091E-02 1.305E-02 6.919E-02 2.312E+00 1.403E+04 7.7400 0.99999 1.300E+00 3.500E+04 3.511E+04 2.260E+00 3.036E-02 3.795E-02 1.509E-02 8.340E-02 2.343E+00 1.618E+04 8.0456 1.00000 1.300E+00 4.000E+04 4.011E+04 2.275E+00 3.562E-02 4.525E-02 1.711E-02 9.797E-02 2.373E+00 1.830E+04 8.3109 1.00000 1.300E+00 4.500E+04 4.511E+04 2.288E+00 4.098E-02 5.276E-02 1.912E-02 1.129E-01 2.400E+00 2.039E+04 8.5454 1.00000 1.300E+00 5.000E+04 5.011E+04 2.299E+00 4.644E-02 6.047E-02 2.111E-02 1.280E-01 2.427E+00 2.246E+04 8.7554 1.00000 1.300E+00 5.500E+04 5.511E+04 2.309E+00 5.196E-02 6.823E-02 2.314E-02 1.433E-01 2.453E+00 2.451E+04 8.9455 1.00000 1.300E+00 6.000E+04 6.011E+04 2.319E+00 5.756E-02 7.613E-02 2.516E-02 1.588E-01 2.477E+00 2.654E+04 9.1191 1.00000 1.300E+00 7.000E+04 7.011E+04 2.335E+00 6.896E-02 9.233E-02 2.918E-02 1.905E-01 2.525E+00 3.054E+04 9.4269 1.00000 1.300E+00 8.000E+04 8.011E+04 2.349E+00 8.060E-02 1.090E-01 3.317E-02 2.228E-01 2.572E+00 3.446E+04 9.6936 1.00000 1.300E+00 9.000E+04 9.011E+04 2.361E+00 9.246E-02 1.261E-01 3.715E-02 2.557E-01 2.617E+00 3.832E+04 9.9289 1.00000 1.300E+00 1.000E+05 1.001E+05 2.372E+00 1.045E-01 1.435E-01 4.111E-02 2.891E-01 2.661E+00 4.211E+04 10.1393 1.00000 1.300E+00 1.200E+05 1.201E+05 2.390E+00 1.289E-01 1.786E-01 4.915E-02 3.566E-01 2.747E+00 4.950E+04 10.5036 1.00000 1.300E+00 1.400E+05 1.401E+05 2.406E+00 1.538E-01 2.146E-01 5.717E-02 4.256E-01 2.832E+00 5.667E+04 10.8117 1.00000 1.300E+00 1.700E+05 1.701E+05 2.426E+00 1.920E-01 2.703E-01 6.915E-02 5.314E-01 2.957E+00 6.704E+04 11.1997 1.00000 1.300E+00 2.000E+05 2.001E+05 2.442E+00 2.311E-01 3.274E-01 8.109E-02 6.396E-01 3.082E+00 7.698E+04 11.5246 1.00000 1.300E+00 2.500E+05 2.501E+05 2.465E+00 2.967E-01 4.221E-01 1.013E-01 8.201E-01 3.285E+00 9.269E+04 11.9707 1.00000 1.300E+00 3.000E+05 3.001E+05 2.483E+00 3.638E-01 5.191E-01 1.215E-01 1.004E+00 3.487E+00 1.075E+05 12.3352 1.00000 1.300E+00 3.500E+05 3.501E+05 2.498E+00 4.320E-01 6.180E-01 1.417E-01 1.192E+00 3.690E+00 1.214E+05 12.6434 1.00000 1.300E+00 4.000E+05 4.001E+05 2.512E+00 5.012E-01 7.186E-01 1.619E-01 1.382E+00 3.893E+00 1.346E+05 12.9103 1.00000 1.300E+00 4.500E+05 4.501E+05 2.524E+00 5.713E-01 8.207E-01 1.821E-01 1.574E+00 4.098E+00 1.471E+05 13.1459 1.00000 1.300E+00 5.000E+05 5.001E+05 2.534E+00 6.422E-01 9.240E-01 2.023E-01 1.769E+00 4.303E+00 1.590E+05 13.3565 1.00000 1.300E+00 5.500E+05 5.501E+05 2.544E+00 7.126E-01 1.026E+00 2.231E-01 1.961E+00 4.505E+00 1.704E+05 13.5471 1.00000 1.300E+00 6.000E+05 6.001E+05 2.553E+00 7.835E-01 1.128E+00 2.438E-01 2.156E+00 4.708E+00 1.812E+05 13.7211 1.00000 1.300E+00 7.000E+05 7.001E+05 2.568E+00 9.269E-01 1.336E+00 2.855E-01 2.548E+00 5.116E+00 2.016E+05 14.0294 1.00000 1.300E+00 7.055E+05 7.056E+05 2.569E+00 9.347E-01 1.347E+00 2.878E-01 2.569E+00 5.139E+00 Muon critical energy 8.000E+05 8.001E+05 2.582E+00 1.072E+00 1.545E+00 3.273E-01 2.944E+00 5.526E+00 2.204E+05 14.2964 1.00000 1.300E+00 9.000E+05 9.001E+05 2.594E+00 1.218E+00 1.757E+00 3.692E-01 3.345E+00 5.939E+00 2.378E+05 14.5319 1.00000 1.300E+00 1.000E+06 1.000E+06 2.605E+00 1.366E+00 1.971E+00 4.113E-01 3.749E+00 6.354E+00 2.541E+05 14.7426 1.00000 1.300E+00 1.200E+06 1.200E+06 2.623E+00 1.661E+00 2.393E+00 4.969E-01 4.551E+00 7.174E+00 2.837E+05 15.1072 1.00000 1.300E+00 1.400E+06 1.400E+06 2.639E+00 1.958E+00 2.819E+00 5.831E-01 5.360E+00 8.000E+00 3.101E+05 15.4155 1.00000 1.300E+00 1.700E+06 1.700E+06 2.660E+00 2.410E+00 3.464E+00 7.132E-01 6.587E+00 9.247E+00 3.450E+05 15.8038 1.00000 1.300E+00 2.000E+06 2.000E+06 2.677E+00 2.866E+00 4.116E+00 8.442E-01 7.827E+00 1.050E+01 3.754E+05 16.1288 1.00000 1.300E+00 2.500E+06 2.500E+06 2.700E+00 3.623E+00 5.191E+00 1.067E+00 9.881E+00 1.258E+01 4.188E+05 16.5751 1.00000 1.300E+00 3.000E+06 3.000E+06 2.720E+00 4.386E+00 6.274E+00 1.293E+00 1.195E+01 1.467E+01 4.556E+05 16.9397 1.00000 1.300E+00 3.500E+06 3.500E+06 2.736E+00 5.156E+00 7.364E+00 1.520E+00 1.404E+01 1.678E+01 4.875E+05 17.2480 1.00000 1.300E+00 4.000E+06 4.000E+06 2.751E+00 5.931E+00 8.459E+00 1.749E+00 1.614E+01 1.889E+01 5.155E+05 17.5150 1.00000 1.300E+00 4.500E+06 4.500E+06 2.763E+00 6.710E+00 9.560E+00 1.979E+00 1.825E+01 2.101E+01 5.406E+05 17.7506 1.00000 1.300E+00 5.000E+06 5.000E+06 2.775E+00 7.493E+00 1.067E+01 2.211E+00 2.037E+01 2.314E+01 5.633E+05 17.9613 1.00000 1.300E+00 5.500E+06 5.500E+06 2.785E+00 8.269E+00 1.176E+01 2.447E+00 2.247E+01 2.526E+01 5.839E+05 18.1519 1.00000 1.300E+00 6.000E+06 6.000E+06 2.795E+00 9.046E+00 1.285E+01 2.685E+00 2.459E+01 2.738E+01 6.030E+05 18.3260 1.00000 1.300E+00 7.000E+06 7.000E+06 2.812E+00 1.061E+01 1.505E+01 3.164E+00 2.882E+01 3.163E+01 6.369E+05 18.6343 1.00000 1.300E+00 8.000E+06 8.000E+06 2.827E+00 1.217E+01 1.726E+01 3.647E+00 3.308E+01 3.591E+01 6.666E+05 18.9013 1.00000 1.300E+00 9.000E+06 9.000E+06 2.840E+00 1.375E+01 1.947E+01 4.134E+00 3.735E+01 4.019E+01 6.929E+05 19.1369 1.00000 1.300E+00 1.000E+07 1.000E+07 2.852E+00 1.533E+01 2.168E+01 4.624E+00 4.164E+01 4.449E+01 7.165E+05 19.3476 1.00000 1.300E+00 1.200E+07 1.200E+07 2.872E+00 1.847E+01 2.609E+01 5.624E+00 5.019E+01 5.306E+01 7.576E+05 19.7122 1.00000 1.300E+00 1.400E+07 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