___________________________________________________________________________ 

____________________________________________________________________________ 

Update to ESTAR, PSTAR, and ASTAR Databases 

A result of Report 90 (ICRU, 2014) of the International Commission on Radiation Units and 

Measurements (ICRU) a has been to update stopping powers and ranges of electrons, positrons, 

protons, and alpha particles in three materials: air (dry, at sea level), graphite, and liquid water. 

This addendum to the ESTAR, PSTAR, and ASTAR databases provides these updated results, 

but only in a non-interactive set of computer-readable tables. The ICRU Report considered also 

stopping powers and ranges of carbon ions in these three materials, and these results are included 

also. 

a This Report was released in 2016; the members of the Report Committee were S. M. Seltzer 

(Co-Chairman), J. M. Fernández-Varea (Co-Chairman), P. Andreo, P. M. Bergstrom Jr., D. T. 

Burns, I. Krajcar Bronić, C. K. Ross, and F. Salvat. 

The methods underlying the calculations, as detailed in ICRU Report 90, are basically the same 

as those used earlier, but with differences listed below. 

•	 The key parameter in Bethe’s theory of charged-particle electronic (collision) stopping 

power, i.e., the mean excitation energy, I, was thoroughly reviewed, with the results: 

I = 85.7 eV for air (no change from previous recommendation), I = 81 eV for graphite 

(previous recommendation was 78 eV), and I = 78 eV for liquid water (previous 

recommendation was 75 eV). 

•	 The density-effect correction, δ, for the electronic (collision) stopping powers in graphite 

assumes a mass density of ρ = 2.25 g cm-3 rather than ρ = 1.7 g cm-3, and assumes there is 

one conduction electron rather than two. 

•	 The radiative stopping powers, Srad, for electrons and positrons are now taken from 

Seltzer and Berger (1986), which are slightly different from the somewhat more 

preliminary results of Seltzer and Berger (1985). 

•	 The low-energy electronic (collision) stopping powers for protons in graphite are taken 

from the measured results of Nečas et al. (1993) rather than those used in ICRU Report 

49 (ICRU, 1993). 

1
 
 

 

The tables use the following symbols: 

T, kinetic energy of the charged particle 

Sel, electronic (collision) stopping power 

Srad, radiative stopping power (given here for electrons and positrons) 

Snuc, nuclear stopping power (given here for protons, alpha particles, and carbon ions) 

Stot, total stopping power 

r0, csda range of the charged particle 

Y, radiation yield (given here for electrons and positrons) 

δ, density-effect correction 

Additional References 

ICRU (1993). International Commission on Radiation Units and Measurements. Stopping Power 

and Ranges for Protons and Alpha Particles, ICRU Report 49 (International Commission on 

Radiation Units and Measurements, Bethesda, MD). 

ICRU (2014). International Commission on Radiation Units and Measurements. ICRU 

Report 90, Key Data for Ionizing-Radiation Dosimetry: Measurement Standards and 

Applications. ICRU Report 90, J. ICRU 14 (Oxford University Press, Oxford). 

Nečas, V., Käferböck, W., Rössler, W., and Bauer, P. (1993). “Electronic stopping of hydrogen 

ions in graphite and amorphous carbon,” Nucl. Instrum. Meth. B 80–81, 41–44. 

Seltzer, S. M., and Berger, M. J. (1986). “Bremsstrahlung energy spectra from electrons with 

kinetic energy 1 keV–10 GeV incident on screened nuclei and orbital electrons of neutral atoms 

with Z = 1–100,” At. Data Nucl. Data Tables 35, 345–418. 

2
 
 

 

Appendix A: New Tabular Data 

Table A.1. Electrons in air, I = 85.7 eV, ρ = 0.0012 g cm-3. 

T 

MeV 

Sel/ρ Srad/ρ -1 MeV cm2 gStot/ρ ρr0 

-2 g cm Y δ

0.0010 1.025E+02 2.883E-03 1.025E+02 4.879E-06 1.407E-05 0.000E+00 

0.0015 7.903E+01 3.171E-03 7.904E+01 1.049E-05 2.077E-05 0.000E+00 

0.0020 6.501E+01 3.351E-03 6.502E+01 1.750E-05 2.705E-05 0.000E+00 

0.0030 4.879E+01 3.562E-03 4.879E+01 3.547E-05 3.883E-05 0.000E+00 

0.0040 3.954E+01 3.679E-03 3.954E+01 5.839E-05 4.991E-05 0.000E+00 

0.0050 3.348E+01 3.752E-03 3.349E+01 8.598E-05 6.045E-05 0.000E+00 

0.0060 2.918E+01 3.801E-03 2.919E+01 1.181E-04 7.058E-05 0.000E+00 

0.0080 2.344E+01 3.858E-03 2.345E+01 1.950E-04 8.983E-05 0.000E+00 

0.0100 1.975E+01 3.889E-03 1.976E+01 2.884E-04 1.080E-04 0.000E+00 

0.0150 1.444E+01 3.919E-03 1.445E+01 5.886E-04 1.502E-04 0.000E+00 

0.0200 1.157E+01 3.933E-03 1.158E+01 9.781E-04 1.891E-04 0.000E+00 

0.0300 8.491E+00 3.958E-03 8.495E+00 2.002E-03 2.607E-04 0.000E+00 

0.0400 6.848E+00 3.981E-03 6.852E+00 3.322E-03 3.266E-04 0.000E+00 

0.0500 5.818E+00 4.006E-03 5.822E+00 4.912E-03 3.883E-04 0.000E+00 

0.0600 5.110E+00 4.039E-03 5.114E+00 6.750E-03 4.468E-04 0.000E+00 

0.0800 4.197E+00 4.116E-03 4.201E+00 1.110E-02 5.566E-04 0.000E+00 

0.1000 3.633E+00 4.205E-03 3.637E+00 1.623E-02 6.591E-04 0.000E+00 

0.1500 2.861E+00 4.463E-03 2.865E+00 3.193E-02 8.930E-04 0.000E+00 

0.2000 2.469E+00 4.759E-03 2.474E+00 5.082E-02 1.105E-03 0.000E+00 

0.3000 2.084E+00 5.463E-03 2.089E+00 9.528E-02 1.494E-03 0.000E+00 

0.4000 1.902E+00 6.283E-03 1.908E+00 1.456E-01 1.859E-03 0.000E+00 

0.5000 1.802E+00 7.194E-03 1.809E+00 1.995E-01 2.214E-03 0.000E+00 

0.6000 1.743E+00 8.181E-03 1.751E+00 2.558E-01 2.566E-03 0.000E+00 

0.8000 1.683E+00 1.033E-02 1.694E+00 3.723E-01 3.270E-03 0.000E+00 

1.0000 1.661E+00 1.267E-02 1.674E+00 4.912E-01 3.982E-03 0.000E+00 

1.5000 1.661E+00 1.919E-02 1.680E+00 7.901E-01 5.815E-03 0.000E+00 

2.0000 1.684E+00 2.644E-02 1.711E+00 1.085E+00 7.718E-03 0.000E+00 

3.0000 1.740E+00 4.247E-02 1.782E+00 1.658E+00 1.168E-02 0.000E+00 

4.0000 1.790E+00 5.994E-02 1.850E+00 2.208E+00 1.579E-02 0.000E+00 

5.0000 1.833E+00 7.841E-02 1.911E+00 2.740E+00 1.997E-02 0.000E+00 

6.0000 1.870E+00 9.762E-02 1.968E+00 3.255E+00 2.420E-02 0.000E+00 

8.0000 1.931E+00 1.378E-01 2.068E+00 4.246E+00 3.268E-02 0.000E+00 

10.0000 1.979E+00 1.796E-01 2.159E+00 5.192E+00 4.114E-02 0.000E+00 

15.0000 2.069E+00 2.891E-01 2.359E+00 7.405E+00 6.181E-02 0.000E+00 

20.0000 2.134E+00 4.032E-01 2.537E+00 9.447E+00 8.161E-02 0.000E+00 

30.0000 2.226E+00 6.394E-01 2.865E+00 1.315E+01 1.184E-01 7.556E-03 

40.0000 2.282E+00 8.825E-01 3.164E+00 1.647E+01 1.517E-01 1.375E-01 

50.0000 2.319E+00 1.130E+00 3.449E+00 1.949E+01 1.821E-01 3.188E-01 

60.0000 2.347E+00 1.381E+00 3.728E+00 2.228E+01 2.100E-01 5.024E-01 

80.0000 2.387E+00 1.890E+00 4.277E+00 2.729E+01 2.594E-01 8.360E-01 

100.0000 2.417E+00 2.405E+00 4.822E+00 3.169E+01 3.018E-01 1.120E+00 

150.0000 2.468E+00 3.713E+00 6.181E+00 4.082E+01 3.857E-01 1.669E+00 

200.0000 2.502E+00 5.035E+00 7.538E+00 4.814E+01 4.484E-01 2.078E+00 

300.0000 2.550E+00 7.698E+00 1.025E+01 5.947E+01 5.368E-01 2.674E+00 

400.0000 2.582E+00 1.037E+01 1.296E+01 6.813E+01 5.971E-01 3.116E+00 

500.0000 2.606E+00 1.306E+01 1.566E+01 7.514E+01 6.413E-01 3.471E+00 

600.0000 2.625E+00 1.575E+01 1.837E+01 8.103E+01 6.754E-01 3.772E+00 

800.0000 2.653E+00 2.114E+01 2.380E+01 9.056E+01 7.251E-01 4.266E+00 

1000.0000 2.674E+00 2.655E+01 2.922E+01 9.813E+01 7.599E-01 4.667E+00 

3
 
 

 

Table A.2. Electrons in graphite, I = 81 eV, ρ = 2.265 g cm-3. 

T 

MeV 

Sel/ρ Srad/ρ -1 MeV cm2 gStot/ρ ρr0 

-2 g cm Y δ

0.00100 1.048E+02 2.507E-03 1.048E+02 4.772E-06 1.197E-05 2.470E-04 

0.00150 8.057E+01 2.715E-03 8.057E+01 1.027E-05 1.760E-05 3.719E-04 

0.00200 6.617E+01 2.836E-03 6.617E+01 1.716E-05 2.278E-05 4.978E-04 

0.00300 4.956E+01 2.969E-03 4.957E+01 3.483E-05 3.235E-05 7.522E-04 

0.00400 4.012E+01 3.037E-03 4.012E+01 5.740E-05 4.123E-05 1.010E-03 

0.00500 3.395E+01 3.077E-03 3.395E+01 8.461E-05 4.963E-05 1.272E-03 

0.00600 2.958E+01 3.101E-03 2.958E+01 1.162E-04 5.766E-05 1.537E-03 

0.00800 2.374E+01 3.128E-03 2.374E+01 1.923E-04 7.286E-05 2.079E-03 

0.01000 1.999E+01 3.142E-03 1.999E+01 2.845E-04 8.720E-05 2.634E-03 

0.01500 1.460E+01 3.152E-03 1.461E+01 5.813E-04 1.204E-04 4.085E-03 

0.02000 1.169E+01 3.164E-03 1.169E+01 9.668E-04 1.512E-04 5.622E-03 

0.03000 8.572E+00 3.181E-03 8.575E+00 1.980E-03 2.080E-04 8.946E-03 

0.04000 6.908E+00 3.200E-03 6.911E+00 3.289E-03 2.604E-04 1.259E-02 

0.05000 5.866E+00 3.227E-03 5.869E+00 4.866E-03 3.097E-04 1.654E-02 

0.06000 5.150E+00 3.256E-03 5.153E+00 6.690E-03 3.566E-04 2.079E-02 

0.08000 4.226E+00 3.324E-03 4.229E+00 1.101E-02 4.449E-04 3.011E-02 

0.10000 3.654E+00 3.400E-03 3.657E+00 1.611E-02 5.277E-04 4.047E-02 

0.15000 2.871E+00 3.619E-03 2.875E+00 3.174E-02 7.175E-04 7.039E-02 

0.20000 2.473E+00 3.871E-03 2.476E+00 5.059E-02 8.913E-04 1.052E-01 

0.30000 2.076E+00 4.462E-03 2.081E+00 9.513E-02 1.213E-03 1.847E-01 

0.40000 1.886E+00 5.148E-03 1.891E+00 1.458E-01 1.518E-03 2.708E-01 

0.50000 1.778E+00 5.911E-03 1.784E+00 2.004E-01 1.818E-03 3.580E-01 

0.60000 1.712E+00 6.734E-03 1.718E+00 2.576E-01 2.117E-03 4.438E-01 

0.80000 1.640E+00 8.533E-03 1.648E+00 3.767E-01 2.724E-03 6.075E-01 

1.00000 1.606E+00 1.050E-02 1.617E+00 4.994E-01 3.345E-03 7.593E-01 

1.50000 1.582E+00 1.596E-02 1.598E+00 8.113E-01 4.970E-03 1.090E+00 

2.00000 1.586E+00 2.204E-02 1.608E+00 1.124E+00 6.686E-03 1.364E+00 

3.00000 1.609E+00 3.552E-02 1.645E+00 1.739E+00 1.033E-02 1.798E+00 

4.00000 1.634E+00 5.023E-02 1.684E+00 2.339E+00 1.417E-02 2.136E+00 

5.00000 1.656E+00 6.582E-02 1.722E+00 2.927E+00 1.814E-02 2.414E+00 

6.00000 1.675E+00 8.203E-02 1.757E+00 3.501E+00 2.219E-02 2.653E+00 

8.00000 1.706E+00 1.160E-01 1.822E+00 4.619E+00 3.043E-02 3.051E+00 

10.00000 1.729E+00 1.514E-01 1.881E+00 5.699E+00 3.876E-02 3.381E+00 

15.00000 1.770E+00 2.442E-01 2.014E+00 8.266E+00 5.953E-02 4.033E+00 

20.00000 1.797E+00 3.410E-01 2.138E+00 1.067E+01 7.980E-02 4.533E+00 

30.00000 1.832E+00 5.419E-01 2.374E+00 1.511E+01 1.181E-01 5.279E+00 

40.00000 1.856E+00 7.489E-01 2.605E+00 1.913E+01 1.533E-01 5.828E+00 

50.00000 1.874E+00 9.599E-01 2.834E+00 2.281E+01 1.854E-01 6.260E+00 

60.00000 1.888E+00 1.174E+00 3.062E+00 2.620E+01 2.147E-01 6.616E+00 

80.00000 1.911E+00 1.608E+00 3.519E+00 3.229E+01 2.665E-01 7.183E+00 

100.00000 1.928E+00 2.048E+00 3.977E+00 3.764E+01 3.106E-01 7.624E+00 

150.00000 1.960E+00 3.166E+00 5.125E+00 4.868E+01 3.972E-01 8.429E+00 

200.00000 1.982E+00 4.296E+00 6.278E+00 5.748E+01 4.612E-01 9.002E+00 

300.00000 2.013E+00 6.574E+00 8.587E+00 7.105E+01 5.505E-01 9.811E+00 

400.00000 2.035E+00 8.863E+00 1.090E+01 8.136E+01 6.107E-01 1.039E+01 

500.00000 2.052E+00 1.116E+01 1.321E+01 8.968E+01 6.545E-01 1.083E+01 

600.00000 2.066E+00 1.346E+01 1.553E+01 9.665E+01 6.882E-01 1.119E+01 

800.00000 2.089E+00 1.809E+01 2.017E+01 1.079E+02 7.369E-01 1.177E+01 

1000.00000 2.106E+00 2.272E+01 2.482E+01 1.168E+02 7.708E-01 1.222E+01 

4
 
 

 

Table A.3. Electrons in liquid water, I = 78 eV, ρ = 0.998 g cm-3. 

T 

MeV 

Sel/ρ Srad/ρ -1 MeV cm2 gStot/ρ ρr0 

-2 g cm Y δ

0.0010 1.181E+02 2.830E-03 1.181E+02 4.235E-06 1.199E-05 0.000E+00 

0.0015 9.063E+01 3.122E-03 9.063E+01 9.118E-06 1.774E-05 0.000E+00 

0.0020 7.436E+01 3.307E-03 7.436E+01 1.524E-05 2.318E-05 0.000E+00 

0.0030 5.563E+01 3.530E-03 5.564E+01 3.098E-05 3.348E-05 0.000E+00 

0.0040 4.500E+01 3.657E-03 4.500E+01 5.110E-05 4.322E-05 0.000E+00 

0.0050 3.806E+01 3.737E-03 3.807E+01 7.536E-05 5.253E-05 0.000E+00 

0.0060 3.315E+01 3.791E-03 3.315E+01 1.036E-04 6.149E-05 0.000E+00 

0.0080 2.659E+01 3.855E-03 2.660E+01 1.714E-04 7.858E-05 0.000E+00 

0.0100 2.239E+01 3.890E-03 2.239E+01 2.537E-04 9.476E-05 0.000E+00 

0.0150 1.635E+01 3.928E-03 1.635E+01 5.189E-04 1.324E-04 0.000E+00 

0.0200 1.308E+01 3.939E-03 1.309E+01 8.632E-04 1.670E-04 0.000E+00 

0.0300 9.591E+00 3.965E-03 9.595E+00 1.769E-03 2.307E-04 0.000E+00 

0.0400 7.729E+00 3.987E-03 7.733E+00 2.939E-03 2.893E-04 0.000E+00 

0.0500 6.564E+00 4.011E-03 6.568E+00 4.348E-03 3.442E-04 0.000E+00 

0.0600 5.763E+00 4.044E-03 5.767E+00 5.978E-03 3.962E-04 0.000E+00 

0.0800 4.731E+00 4.122E-03 4.735E+00 9.833E-03 4.939E-04 0.000E+00 

0.1000 4.093E+00 4.211E-03 4.097E+00 1.439E-02 5.851E-04 0.000E+00 

0.1500 3.221E+00 4.471E-03 3.226E+00 2.833E-02 7.936E-04 0.000E+00 

0.2000 2.779E+00 4.771E-03 2.784E+00 4.512E-02 9.831E-04 0.000E+00 

0.3000 2.344E+00 5.482E-03 2.349E+00 8.464E-02 1.331E-03 0.000E+00 

0.4000 2.138E+00 6.309E-03 2.144E+00 1.294E-01 1.657E-03 0.000E+00 

0.5000 2.025E+00 7.228E-03 2.032E+00 1.774E-01 1.976E-03 0.000E+00 

0.6000 1.956E+00 8.221E-03 1.965E+00 2.275E-01 2.291E-03 1.501E-02 

0.8000 1.880E+00 1.039E-02 1.891E+00 3.315E-01 2.927E-03 1.005E-01 

1.0000 1.845E+00 1.276E-02 1.858E+00 4.384E-01 3.577E-03 2.086E-01 

1.5000 1.819E+00 1.934E-02 1.838E+00 7.096E-01 5.275E-03 4.982E-01 

2.0000 1.821E+00 2.666E-02 1.848E+00 9.811E-01 7.071E-03 7.703E-01 

3.0000 1.844E+00 4.286E-02 1.887E+00 1.517E+00 1.089E-02 1.231E+00 

4.0000 1.869E+00 6.056E-02 1.929E+00 2.041E+00 1.493E-02 1.601E+00 

5.0000 1.891E+00 7.922E-02 1.970E+00 2.554E+00 1.910E-02 1.906E+00 

6.0000 1.910E+00 9.865E-02 2.008E+00 3.057E+00 2.336E-02 2.165E+00 

8.0000 1.942E+00 1.392E-01 2.081E+00 4.035E+00 3.203E-02 2.589E+00 

10.0000 1.967E+00 1.816E-01 2.148E+00 4.980E+00 4.077E-02 2.928E+00 

15.0000 2.013E+00 2.924E-01 2.305E+00 7.226E+00 6.248E-02 3.567E+00 

20.0000 2.045E+00 4.079E-01 2.453E+00 9.327E+00 8.357E-02 4.039E+00 

30.0000 2.088E+00 6.472E-01 2.736E+00 1.318E+01 1.232E-01 4.734E+00 

40.0000 2.117E+00 8.936E-01 3.011E+00 1.667E+01 1.592E-01 5.252E+00 

50.0000 2.139E+00 1.145E+00 3.284E+00 1.985E+01 1.920E-01 5.665E+00 

60.0000 2.156E+00 1.399E+00 3.555E+00 2.277E+01 2.220E-01 6.010E+00 

80.0000 2.182E+00 1.914E+00 4.097E+00 2.801E+01 2.745E-01 6.563E+00 

100.0000 2.202E+00 2.437E+00 4.640E+00 3.259E+01 3.190E-01 6.998E+00 

150.0000 2.238E+00 3.763E+00 6.001E+00 4.204E+01 4.061E-01 7.796E+00 

200.0000 2.263E+00 5.103E+00 7.366E+00 4.955E+01 4.701E-01 8.367E+00 

300.0000 2.298E+00 7.802E+00 1.010E+01 6.110E+01 5.590E-01 9.173E+00 

400.0000 2.322E+00 1.051E+01 1.284E+01 6.986E+01 6.186E-01 9.747E+00 

500.0000 2.341E+00 1.323E+01 1.558E+01 7.692E+01 6.620E-01 1.019E+01 

600.0000 2.357E+00 1.596E+01 1.832E+01 8.284E+01 6.951E-01 1.056E+01 

800.0000 2.382E+00 2.143E+01 2.381E+01 9.239E+01 7.431E-01 1.113E+01 

1000.0000 2.401E+00 2.691E+01 2.931E+01 9.994E+01 7.764E-01 1.158E+01 

5
 
 

 

Table A.4. Positrons in air, I = 85.7 eV, ρ = 0.0012 g cm-3. 

T 

MeV 

Sel/ρ Srad/ρ -1 MeV cm2 gStot/ρ ρr0 

-2 g cm Y δ

0.0010 1.235E+02 9.936E-04 1.235E+02 4.047E-06 4.021E-06 0.000E+00 

0.0015 9.305E+01 1.210E-03 9.305E+01 8.765E-06 6.180E-06 0.000E+00 

0.0020 7.551E+01 1.372E-03 7.551E+01 1.477E-05 8.527E-06 0.000E+00 

0.0030 5.576E+01 1.606E-03 5.577E+01 3.038E-05 1.350E-05 0.000E+00 

0.0040 4.475E+01 1.774E-03 4.475E+01 5.054E-05 1.868E-05 0.000E+00 

0.0050 3.764E+01 1.904E-03 3.764E+01 7.501E-05 2.397E-05 0.000E+00 

0.0060 3.264E+01 2.009E-03 3.264E+01 1.036E-04 2.932E-05 0.000E+00 

0.0080 2.601E+01 2.173E-03 2.602E+01 1.728E-04 4.012E-05 0.000E+00 

0.0100 2.179E+01 2.297E-03 2.180E+01 2.571E-04 5.099E-05 0.000E+00 

0.0150 1.578E+01 2.513E-03 1.579E+01 5.308E-04 7.812E-05 0.000E+00 

0.0200 1.256E+01 2.664E-03 1.256E+01 8.887E-04 1.050E-04 0.000E+00 

0.0300 9.125E+00 2.880E-03 9.128E+00 1.837E-03 1.580E-04 0.000E+00 

0.0400 7.306E+00 3.035E-03 7.309E+00 3.071E-03 2.100E-04 0.000E+00 

0.0500 6.171E+00 3.157E-03 6.174E+00 4.566E-03 2.607E-04 0.000E+00 

0.0600 5.393E+00 3.265E-03 5.396E+00 6.304E-03 3.103E-04 0.000E+00 

0.0800 4.393E+00 3.452E-03 4.396E+00 1.044E-02 4.067E-04 0.000E+00 

0.1000 3.776E+00 3.617E-03 3.780E+00 1.537E-02 4.997E-04 0.000E+00 

0.1500 2.935E+00 3.991E-03 2.939E+00 3.058E-02 7.200E-04 0.000E+00 

0.2000 2.510E+00 4.350E-03 2.514E+00 4.909E-02 9.265E-04 0.000E+00 

0.3000 2.091E+00 5.111E-03 2.096E+00 9.316E-02 1.313E-03 0.000E+00 

0.4000 1.893E+00 5.950E-03 1.899E+00 1.435E-01 1.681E-03 0.000E+00 

0.5000 1.784E+00 6.862E-03 1.791E+00 1.979E-01 2.041E-03 0.000E+00 

0.6000 1.719E+00 7.840E-03 1.727E+00 2.548E-01 2.399E-03 0.000E+00 

0.8000 1.652E+00 9.959E-03 1.662E+00 3.732E-01 3.115E-03 0.000E+00 

1.0000 1.626E+00 1.227E-02 1.638E+00 4.946E-01 3.839E-03 0.000E+00 

1.5000 1.621E+00 1.867E-02 1.639E+00 8.005E-01 5.700E-03 0.000E+00 

2.0000 1.642E+00 2.581E-02 1.668E+00 1.103E+00 7.630E-03 0.000E+00 

3.0000 1.695E+00 4.163E-02 1.737E+00 1.691E+00 1.165E-02 0.000E+00 

4.0000 1.744E+00 5.892E-02 1.803E+00 2.256E+00 1.582E-02 0.000E+00 

5.0000 1.786E+00 7.722E-02 1.863E+00 2.801E+00 2.007E-02 0.000E+00 

6.0000 1.823E+00 9.630E-02 1.919E+00 3.330E+00 2.436E-02 0.000E+00 

8.0000 1.883E+00 1.363E-01 2.019E+00 4.345E+00 3.299E-02 0.000E+00 

10.0000 1.931E+00 1.780E-01 2.109E+00 5.314E+00 4.159E-02 0.000E+00 

15.0000 2.020E+00 2.873E-01 2.308E+00 7.578E+00 6.263E-02 0.000E+00 

20.0000 2.085E+00 4.014E-01 2.486E+00 9.664E+00 8.278E-02 0.000E+00 

30.0000 2.176E+00 6.379E-01 2.814E+00 1.344E+01 1.202E-01 7.556E-03 

40.0000 2.232E+00 8.816E-01 3.114E+00 1.681E+01 1.540E-01 1.375E-01 

50.0000 2.269E+00 1.130E+00 3.399E+00 1.988E+01 1.849E-01 3.188E-01 

60.0000 2.297E+00 1.383E+00 3.680E+00 2.271E+01 2.132E-01 5.024E-01 

80.0000 2.337E+00 1.897E+00 4.234E+00 2.777E+01 2.632E-01 8.360E-01 

100.0000 2.367E+00 2.419E+00 4.786E+00 3.221E+01 3.061E-01 1.120E+00 

150.0000 2.418E+00 3.750E+00 6.168E+00 4.139E+01 3.910E-01 1.669E+00 

200.0000 2.452E+00 5.102E+00 7.555E+00 4.871E+01 4.542E-01 2.078E+00 

300.0000 2.500E+00 7.841E+00 1.034E+01 5.997E+01 5.431E-01 2.674E+00 

400.0000 2.532E+00 1.061E+01 1.314E+01 6.853E+01 6.035E-01 3.116E+00 

500.0000 2.556E+00 1.340E+01 1.595E+01 7.543E+01 6.477E-01 3.471E+00 

600.0000 2.575E+00 1.620E+01 1.877E+01 8.120E+01 6.817E-01 3.772E+00 

800.0000 2.603E+00 2.184E+01 2.444E+01 9.051E+01 7.312E-01 4.266E+00 

1000.0000 2.624E+00 2.752E+01 3.014E+01 9.787E+01 7.657E-01 4.667E+00 

6
 
 

 

Table A.5. Positrons in graphite, I = 81 eV, ρ = 2.265 g cm-3. 

T 

MeV 

Sel/ρ Srad/ρ -1 MeV cm2 gStot/ρ ρr0 

-2 g cm Y δ

0.00100 1.258E+02 9.929E-04 1.258E+02 3.973E-06 3.945E-06 2.470E-04 

0.00150 9.460E+01 1.183E-03 9.460E+01 8.610E-06 6.025E-06 3.719E-04 

0.00200 7.667E+01 1.322E-03 7.667E+01 1.452E-05 8.235E-06 4.978E-04 

0.00300 5.654E+01 1.517E-03 5.655E+01 2.991E-05 1.283E-05 7.522E-04 

0.00400 4.533E+01 1.655E-03 4.534E+01 4.980E-05 1.754E-05 1.010E-03 

0.00500 3.811E+01 1.760E-03 3.811E+01 7.396E-05 2.230E-05 1.272E-03 

0.00600 3.303E+01 1.844E-03 3.303E+01 1.022E-04 2.708E-05 1.537E-03 

0.00800 2.631E+01 1.974E-03 2.631E+01 1.706E-04 3.667E-05 2.079E-03 

0.01000 2.203E+01 2.071E-03 2.203E+01 2.540E-04 4.624E-05 2.634E-03 

0.01500 1.594E+01 2.241E-03 1.594E+01 5.248E-04 6.994E-05 4.085E-03 

0.02000 1.268E+01 2.364E-03 1.268E+01 8.792E-04 9.334E-05 5.622E-03 

0.03000 9.206E+00 2.533E-03 9.208E+00 1.819E-03 1.393E-04 8.946E-03 

0.04000 7.366E+00 2.655E-03 7.369E+00 3.042E-03 1.839E-04 1.259E-02 

0.05000 6.219E+00 2.754E-03 6.222E+00 4.526E-03 2.275E-04 1.654E-02 

0.06000 5.432E+00 2.840E-03 5.435E+00 6.251E-03 2.700E-04 2.079E-02 

0.08000 4.421E+00 2.989E-03 4.424E+00 1.036E-02 3.525E-04 3.011E-02 

0.10000 3.797E+00 3.119E-03 3.800E+00 1.526E-02 4.317E-04 4.047E-02 

0.15000 2.945E+00 3.420E-03 2.949E+00 3.040E-02 6.188E-04 7.039E-02 

0.20000 2.513E+00 3.713E-03 2.516E+00 4.888E-02 7.938E-04 1.052E-01 

0.30000 2.083E+00 4.342E-03 2.088E+00 9.301E-02 1.122E-03 1.847E-01 

0.40000 1.877E+00 5.041E-03 1.882E+00 1.437E-01 1.436E-03 2.708E-01 

0.50000 1.760E+00 5.804E-03 1.766E+00 1.987E-01 1.746E-03 3.580E-01 

0.60000 1.688E+00 6.623E-03 1.694E+00 2.566E-01 2.054E-03 4.438E-01 

0.80000 1.609E+00 8.405E-03 1.617E+00 3.778E-01 2.678E-03 6.075E-01 

1.00000 1.571E+00 1.034E-02 1.581E+00 5.030E-01 3.315E-03 7.593E-01 

1.50000 1.542E+00 1.574E-02 1.558E+00 8.225E-01 4.977E-03 1.090E+00 

2.00000 1.543E+00 2.175E-02 1.565E+00 1.143E+00 6.730E-03 1.364E+00 

3.00000 1.564E+00 3.507E-02 1.599E+00 1.776E+00 1.044E-02 1.798E+00 

4.00000 1.588E+00 4.964E-02 1.638E+00 2.393E+00 1.436E-02 2.136E+00 

5.00000 1.609E+00 6.512E-02 1.674E+00 2.997E+00 1.841E-02 2.414E+00 

6.00000 1.628E+00 8.124E-02 1.709E+00 3.588E+00 2.254E-02 2.653E+00 

8.00000 1.658E+00 1.150E-01 1.773E+00 4.737E+00 3.096E-02 3.051E+00 

10.00000 1.681E+00 1.503E-01 1.831E+00 5.847E+00 3.946E-02 3.381E+00 

15.00000 1.721E+00 2.430E-01 1.964E+00 8.481E+00 6.068E-02 4.033E+00 

20.00000 1.747E+00 3.396E-01 2.087E+00 1.095E+01 8.137E-02 4.533E+00 

30.00000 1.782E+00 5.406E-01 2.323E+00 1.549E+01 1.205E-01 5.279E+00 

40.00000 1.806E+00 7.483E-01 2.554E+00 1.959E+01 1.562E-01 5.828E+00 

50.00000 1.824E+00 9.605E-01 2.784E+00 2.334E+01 1.889E-01 6.260E+00 

60.00000 1.838E+00 1.176E+00 3.015E+00 2.679E+01 2.188E-01 6.616E+00 

80.00000 1.861E+00 1.616E+00 3.477E+00 3.296E+01 2.714E-01 7.183E+00 

100.00000 1.878E+00 2.063E+00 3.941E+00 3.836E+01 3.161E-01 7.624E+00 

150.00000 1.910E+00 3.204E+00 5.113E+00 4.947E+01 4.038E-01 8.429E+00 

200.00000 1.932E+00 4.365E+00 6.297E+00 5.827E+01 4.684E-01 9.002E+00 

300.00000 1.963E+00 6.720E+00 8.683E+00 7.174E+01 5.581E-01 9.811E+00 

400.00000 1.985E+00 9.104E+00 1.109E+01 8.191E+01 6.184E-01 1.039E+01 

500.00000 2.002E+00 1.151E+01 1.351E+01 9.007E+01 6.622E-01 1.083E+01 

600.00000 2.016E+00 1.392E+01 1.594E+01 9.687E+01 6.957E-01 1.119E+01 

800.00000 2.038E+00 1.880E+01 2.083E+01 1.078E+02 7.441E-01 1.177E+01 

1000.00000 2.055E+00 2.370E+01 2.576E+01 1.164E+02 7.776E-01 1.222E+01 

7
 
 

 

Table A.6. Positrons in liquid water, I = 78 eV, ρ = 0.998 g cm-3. 

T 

MeV 

Sel/ρ Srad/ρ -1 MeV cm2 gStot/ρ ρr0 

-2 g cm Y δ

0.0010 1.415E+02 1.012E-03 1.415E+02 3.534E-06 3.575E-06 0.000E+00 

0.0015 1.062E+02 1.219E-03 1.062E+02 7.661E-06 5.481E-06 0.000E+00 

0.0020 8.603E+01 1.377E-03 8.603E+01 1.293E-05 7.543E-06 0.000E+00 

0.0030 6.339E+01 1.608E-03 6.339E+01 2.665E-05 1.192E-05 0.000E+00 

0.0040 5.080E+01 1.775E-03 5.080E+01 4.440E-05 1.647E-05 0.000E+00 

0.0050 4.268E+01 1.904E-03 4.269E+01 6.597E-05 2.113E-05 0.000E+00 

0.0060 3.699E+01 2.009E-03 3.699E+01 9.121E-05 2.585E-05 0.000E+00 

0.0080 2.945E+01 2.172E-03 2.945E+01 1.523E-04 3.539E-05 0.000E+00 

0.0100 2.466E+01 2.297E-03 2.466E+01 2.268E-04 4.501E-05 0.000E+00 

0.0150 1.784E+01 2.516E-03 1.784E+01 4.689E-04 6.907E-05 0.000E+00 

0.0200 1.418E+01 2.665E-03 1.418E+01 7.857E-04 9.294E-05 0.000E+00 

0.0300 1.030E+01 2.881E-03 1.030E+01 1.626E-03 1.400E-04 0.000E+00 

0.0400 8.239E+00 3.036E-03 8.242E+00 2.720E-03 1.861E-04 0.000E+00 

0.0500 6.956E+00 3.158E-03 6.959E+00 4.046E-03 2.311E-04 0.000E+00 

0.0600 6.077E+00 3.266E-03 6.081E+00 5.588E-03 2.752E-04 0.000E+00 

0.0800 4.948E+00 3.455E-03 4.951E+00 9.261E-03 3.609E-04 0.000E+00 

0.1000 4.252E+00 3.621E-03 4.256E+00 1.364E-02 4.437E-04 0.000E+00 

0.1500 3.303E+00 4.000E-03 3.307E+00 2.715E-02 6.401E-04 0.000E+00 

0.2000 2.824E+00 4.363E-03 2.828E+00 4.360E-02 8.244E-04 0.000E+00 

0.3000 2.352E+00 5.132E-03 2.357E+00 8.278E-02 1.170E-03 0.000E+00 

0.4000 2.128E+00 5.978E-03 2.134E+00 1.276E-01 1.500E-03 0.000E+00 

0.5000 2.005E+00 6.896E-03 2.012E+00 1.760E-01 1.823E-03 0.000E+00 

0.6000 1.930E+00 7.879E-03 1.938E+00 2.267E-01 2.143E-03 1.501E-02 

0.8000 1.846E+00 1.002E-02 1.856E+00 3.324E-01 2.789E-03 1.005E-01 

1.0000 1.806E+00 1.234E-02 1.818E+00 4.414E-01 3.448E-03 2.086E-01 

1.5000 1.774E+00 1.881E-02 1.793E+00 7.191E-01 5.170E-03 4.982E-01 

2.0000 1.774E+00 2.601E-02 1.800E+00 9.976E-01 6.990E-03 7.703E-01 

3.0000 1.794E+00 4.198E-02 1.836E+00 1.548E+00 1.086E-02 1.231E+00 

4.0000 1.817E+00 5.947E-02 1.877E+00 2.087E+00 1.496E-02 1.601E+00 

5.0000 1.838E+00 7.795E-02 1.916E+00 2.614E+00 1.920E-02 1.906E+00 

6.0000 1.857E+00 9.722E-02 1.954E+00 3.131E+00 2.354E-02 2.165E+00 

8.0000 1.888E+00 1.376E-01 2.026E+00 4.136E+00 3.236E-02 2.589E+00 

10.0000 1.913E+00 1.798E-01 2.093E+00 5.107E+00 4.128E-02 2.928E+00 

15.0000 1.958E+00 2.905E-01 2.249E+00 7.410E+00 6.345E-02 3.567E+00 

20.0000 1.990E+00 4.061E-01 2.396E+00 9.563E+00 8.498E-02 4.039E+00 

30.0000 2.033E+00 6.462E-01 2.679E+00 1.351E+01 1.254E-01 4.734E+00 

40.0000 2.062E+00 8.937E-01 2.956E+00 1.706E+01 1.622E-01 5.252E+00 

50.0000 2.084E+00 1.146E+00 3.230E+00 2.029E+01 1.956E-01 5.665E+00 

60.0000 2.101E+00 1.403E+00 3.504E+00 2.327E+01 2.261E-01 6.010E+00 

80.0000 2.127E+00 1.925E+00 4.052E+00 2.857E+01 2.794E-01 6.563E+00 

100.0000 2.147E+00 2.456E+00 4.603E+00 3.320E+01 3.246E-01 6.998E+00 

150.0000 2.182E+00 3.810E+00 5.992E+00 4.269E+01 4.127E-01 7.796E+00 

200.0000 2.207E+00 5.185E+00 7.392E+00 5.019E+01 4.772E-01 8.367E+00 

300.0000 2.242E+00 7.974E+00 1.022E+01 6.165E+01 5.665E-01 9.173E+00 

400.0000 2.266E+00 1.079E+01 1.306E+01 7.029E+01 6.262E-01 9.747E+00 

500.0000 2.286E+00 1.364E+01 1.592E+01 7.721E+01 6.694E-01 1.019E+01 

600.0000 2.301E+00 1.649E+01 1.880E+01 8.299E+01 7.025E-01 1.056E+01 

800.0000 2.326E+00 2.225E+01 2.457E+01 9.227E+01 7.500E-01 1.113E+01 

1000.0000 2.345E+00 2.804E+01 3.039E+01 9.957E+01 7.830E-01 1.158E+01 

8
 
 

 

Table A.7. Protons in air, I = 85.7 eV, ρ = 0.0012 g cm-3. 

T Sel/ρ Snuc/ρ Stot/ρ ρr0 Detour 

MeV -1 MeV cm2 g -2 g cm factor 

0.0010 1.197E+02 2.163E+01 1.413E+02 9.857E-06 0.3304 

0.0015 1.467E+02 1.840E+01 1.651E+02 1.310E-05 0.3760 

0.0020 1.693E+02 1.614E+01 1.854E+02 1.595E-05 0.4123 

0.0030 2.074E+02 1.314E+01 2.205E+02 2.088E-05 0.4674 

0.0040 2.395E+02 1.120E+01 2.507E+02 2.512E-05 0.5084 

0.0050 2.678E+02 9.825E+00 2.776E+02 2.891E-05 0.5406 

0.0060 2.933E+02 8.786E+00 3.021E+02 3.236E-05 0.5669 

0.0080 3.387E+02 7.310E+00 3.460E+02 3.853E-05 0.6078 

0.0100 3.787E+02 6.300E+00 3.850E+02 4.400E-05 0.6387 

0.0150 4.504E+02 4.751E+00 4.552E+02 5.588E-05 0.6923 

0.0200 5.067E+02 3.858E+00 5.106E+02 6.623E-05 0.7281 

0.0300 5.905E+02 2.848E+00 5.933E+02 8.430E-05 0.7743 

0.0400 6.483E+02 2.282E+00 6.506E+02 1.003E-04 0.8041 

0.0500 6.877E+02 1.917E+00 6.896E+02 1.152E-04 0.8256 

0.0600 7.132E+02 1.659E+00 7.149E+02 1.295E-04 0.8420 

0.0800 7.341E+02 1.316E+00 7.354E+02 1.569E-04 0.8664 

0.1000 7.290E+02 1.098E+00 7.301E+02 1.842E-04 0.8839 

0.1500 6.672E+02 7.861E-01 6.680E+02 2.554E-04 0.9133 

0.2000 5.922E+02 6.183E-01 5.928E+02 3.349E-04 0.9320 

0.3000 4.765E+02 4.390E-01 4.770E+02 5.240E-04 0.9544 

0.4000 4.012E+02 3.435E-01 4.016E+02 7.536E-04 0.9668 

0.5000 3.498E+02 2.836E-01 3.501E+02 1.021E-03 0.9743 

0.6000 3.121E+02 2.423E-01 3.123E+02 1.324E-03 0.9793 

0.8000 2.587E+02 1.885E-01 2.589E+02 2.031E-03 0.9852 

1.0000 2.227E+02 1.548E-01 2.229E+02 2.867E-03 0.9886 

1.5000 1.682E+02 1.080E-01 1.683E+02 5.479E-03 0.9926 

2.0000 1.370E+02 8.340E-02 1.371E+02 8.792E-03 0.9943 

3.0000 1.017E+02 5.778E-02 1.018E+02 1.737E-02 0.9959 

4.0000 8.192E+01 4.444E-02 8.197E+01 2.839E-02 0.9966 

5.0000 6.905E+01 3.621E-02 6.909E+01 4.173E-02 0.9969 

6.0000 5.994E+01 3.061E-02 5.997E+01 5.731E-02 0.9972 

8.0000 4.781E+01 2.345E-02 4.783E+01 9.493E-02 0.9975 

10.0000 4.004E+01 1.905E-02 4.006E+01 1.408E-01 0.9976 

15.0000 2.892E+01 1.304E-02 2.894E+01 2.899E-01 0.9979 

20.0000 2.293E+01 9.953E-03 2.294E+01 4.855E-01 0.9980 

30.0000 1.652E+01 6.790E-03 1.653E+01 1.007E+00 0.9981 

40.0000 1.312E+01 5.173E-03 1.312E+01 1.691E+00 0.9982 

50.0000 1.098E+01 4.187E-03 1.099E+01 2.528E+00 0.9983 

60.0000 9.514E+00 3.523E-03 9.518E+00 3.509E+00 0.9983 

80.0000 7.618E+00 2.681E-03 7.620E+00 5.876E+00 0.9984 

100.0000 6.441E+00 2.169E-03 6.443E+00 8.744E+00 0.9985 

150.0000 4.815E+00 1.475E-03 4.816E+00 1.786E+01 0.9986 

200.0000 3.975E+00 1.122E-03 3.976E+00 2.937E+01 0.9986 

300.0000 3.117E+00 7.631E-04 3.118E+00 5.816E+01 0.9987 

400.0000 2.686E+00 5.806E-04 2.687E+00 9.293E+01 0.9988 

500.0000 2.431E+00 4.697E-04 2.431E+00 1.322E+02 0.9989 

600.0000 2.265E+00 3.951E-04 2.266E+00 1.749E+02 0.9990 

800.0000 2.069E+00 3.009E-04 2.069E+00 2.677E+02 0.9990 

1000.0000 1.962E+00 2.436E-04 1.963E+00 3.672E+02 0.9991 

1500.0000 1.850E+00 1.661E-04 1.850E+00 6.311E+02 0.9992 

2000.0000 1.820E+00 1.267E-04 1.820E+00 9.041E+02 0.9993 

3000.0000 1.828E+00 8.655E-05 1.828E+00 1.454E+03 0.9994 

4000.0000 1.861E+00 6.608E-05 1.861E+00 1.996E+03 0.9995 

5000.0000 1.898E+00 5.362E-05 1.898E+00 2.528E+03 0.9996 

6000.0000 1.934E+00 4.520E-05 1.934E+00 3.050E+03 0.9996 

8000.0000 1.998E+00 3.453E-05 1.998E+00 4.067E+03 0.9997 

10000.0000 2.052E+00 2.803E-05 2.053E+00 5.054E+03 0.9997 

9
 
 

 

Table A.8. Protons in graphite, I = 81 eV, ρ = 2.265 g cm-3. 

T Sel/ρ Snuc/ρ Stot/ρ ρr0 Detour 

MeV -1 MeV cm2 g -2 g cm factor 

0.0010 1.185E+02 2.514E+01 1.436E+02 8.186E-06 0.3727 

0.0015 1.451E+02 2.106E+01 1.662E+02 1.092E-05 0.4211 

0.0020 1.676E+02 1.829E+01 1.859E+02 1.331E-05 0.4588 

0.0030 2.053E+02 1.469E+01 2.200E+02 1.742E-05 0.5147 

0.0040 2.370E+02 1.241E+01 2.494E+02 2.098E-05 0.5557 

0.0050 2.650E+02 1.081E+01 2.758E+02 2.421E-05 0.5877 

0.0060 2.903E+02 9.618E+00 2.999E+02 2.718E-05 0.6136 

0.0080 3.352E+02 7.943E+00 3.431E+02 3.254E-05 0.6534 

0.0100 3.748E+02 6.810E+00 3.816E+02 3.739E-05 0.6832 

0.0150 4.353E+02 5.094E+00 4.404E+02 4.812E-05 0.7343 

0.0200 4.811E+02 4.115E+00 4.852E+02 5.763E-05 0.7677 

0.0300 5.503E+02 3.019E+00 5.533E+02 7.457E-05 0.8102 

0.0400 6.110E+02 2.411E+00 6.134E+02 8.985E-05 0.8371 

0.0500 6.630E+02 2.019E+00 6.650E+02 1.040E-04 0.8559 

0.0600 6.976E+02 1.744E+00 6.993E+02 1.175E-04 0.8702 

0.0800 7.267E+02 1.380E+00 7.281E+02 1.433E-04 0.8908 

0.1000 7.266E+02 1.149E+00 7.277E+02 1.688E-04 0.9055 

0.1500 6.712E+02 8.200E-01 6.720E+02 2.353E-04 0.9298 

0.2000 5.986E+02 6.436E-01 5.992E+02 3.097E-04 0.9451 

0.3000 4.833E+02 4.559E-01 4.837E+02 4.928E-04 0.9635 

0.4000 4.071E+02 3.561E-01 4.075E+02 7.190E-04 0.9736 

0.5000 3.546E+02 2.937E-01 3.549E+02 9.828E-04 0.9797 

0.6000 3.159E+02 2.505E-01 3.161E+02 1.282E-03 0.9836 

0.8000 2.624E+02 1.943E-01 2.626E+02 1.980E-03 0.9884 

1.0000 2.261E+02 1.594E-01 2.263E+02 2.803E-03 0.9910 

1.5000 1.711E+02 1.108E-01 1.712E+02 5.373E-03 0.9941 

2.0000 1.394E+02 8.541E-02 1.395E+02 8.628E-03 0.9955 

3.0000 1.035E+02 5.901E-02 1.036E+02 1.706E-02 0.9967 

4.0000 8.326E+01 4.529E-02 8.330E+01 2.789E-02 0.9972 

5.0000 7.010E+01 3.685E-02 7.014E+01 4.103E-02 0.9975 

6.0000 6.081E+01 3.112E-02 6.084E+01 5.638E-02 0.9977 

8.0000 4.845E+01 2.380E-02 4.847E+01 9.348E-02 0.9980 

10.0000 4.055E+01 1.932E-02 4.057E+01 1.388E-01 0.9981 

15.0000 2.925E+01 1.320E-02 2.926E+01 2.861E-01 0.9983 

20.0000 2.317E+01 1.006E-02 2.318E+01 4.796E-01 0.9984 

30.0000 1.668E+01 6.858E-03 1.669E+01 9.960E-01 0.9985 

40.0000 1.323E+01 5.221E-03 1.324E+01 1.674E+00 0.9986 

50.0000 1.107E+01 4.225E-03 1.108E+01 2.504E+00 0.9986 

60.0000 9.591E+00 3.553E-03 9.595E+00 3.477E+00 0.9987 

80.0000 7.675E+00 2.703E-03 7.678E+00 5.826E+00 0.9987 

100.0000 6.486E+00 2.186E-03 6.488E+00 8.673E+00 0.9988 

150.0000 4.843E+00 1.486E-03 4.845E+00 1.773E+01 0.9988 

200.0000 3.994E+00 1.130E-03 3.995E+00 2.917E+01 0.9989 

300.0000 3.125E+00 7.686E-04 3.126E+00 5.786E+01 0.9990 

400.0000 2.687E+00 5.847E-04 2.688E+00 9.257E+01 0.9990 

500.0000 2.426E+00 4.730E-04 2.427E+00 1.319E+02 0.9991 

600.0000 2.255E+00 3.979E-04 2.256E+00 1.747E+02 0.9991 

800.0000 2.050E+00 3.029E-04 2.050E+00 2.681E+02 0.9992 

1000.0000 1.936E+00 2.453E-04 1.936E+00 3.688E+02 0.9993 

1500.0000 1.806E+00 1.672E-04 1.806E+00 6.378E+02 0.9994 

2000.0000 1.760E+00 1.275E-04 1.761E+00 9.188E+02 0.9995 

3000.0000 1.744E+00 8.710E-05 1.744E+00 1.491E+03 0.9995 

4000.0000 1.756E+00 6.650E-05 1.756E+00 2.063E+03 0.9996 

5000.0000 1.775E+00 5.395E-05 1.775E+00 2.629E+03 0.9997 

6000.0000 1.796E+00 4.548E-05 1.796E+00 3.189E+03 0.9997 

8000.0000 1.834E+00 3.474E-05 1.834E+00 4.291E+03 0.9997 

10000.0000 1.868E+00 2.820E-05 1.868E+00 5.371E+03 0.9998 

10
 
 

 

Table A.9. Protons in liquid water, I = 78 eV, ρ = 0.998 g cm-3 . 

T Sel/ρ Snuc/ρ Stot/ρ ρr0 Detour 

MeV -1 MeV cm2 g -2 g cm factor 

0.0010 1.337E+02 4.315E+01 1.769E+02 6.319E-06 0.4555 

0.0015 1.638E+02 3.460E+01 1.984E+02 8.969E-06 0.4906 

0.0020 1.891E+02 2.927E+01 2.184E+02 1.137E-05 0.5197 

0.0030 2.316E+02 2.281E+01 2.544E+02 1.560E-05 0.5647 

0.0040 2.675E+02 1.894E+01 2.864E+02 1.930E-05 0.5986 

0.0050 2.990E+02 1.631E+01 3.153E+02 2.262E-05 0.6254 

0.0060 3.276E+02 1.439E+01 3.420E+02 2.567E-05 0.6473 

0.0080 3.782E+02 1.175E+01 3.900E+02 3.113E-05 0.6813 

0.0100 4.229E+02 1.000E+01 4.329E+02 3.599E-05 0.7070 

0.0150 5.036E+02 7.400E+00 5.110E+02 4.657E-05 0.7514 

0.0200 5.673E+02 5.939E+00 5.732E+02 5.578E-05 0.7808 

0.0300 6.628E+02 4.325E+00 6.671E+02 7.187E-05 0.8187 

0.0400 7.290E+02 3.437E+00 7.324E+02 8.613E-05 0.8429 

0.0500 7.740E+02 2.870E+00 7.769E+02 9.935E-05 0.8602 

0.0600 8.026E+02 2.473E+00 8.051E+02 1.120E-04 0.8735 

0.0800 8.241E+02 1.951E+00 8.261E+02 1.364E-04 0.8931 

0.1000 8.145E+02 1.620E+00 8.161E+02 1.607E-04 0.9073 

0.1500 7.360E+02 1.152E+00 7.372E+02 2.249E-04 0.9310 

0.2000 6.585E+02 9.016E-01 6.594E+02 2.967E-04 0.9460 

0.3000 5.435E+02 6.351E-01 5.441E+02 4.645E-04 0.9635 

0.4000 4.643E+02 4.928E-01 4.648E+02 6.640E-04 0.9731 

0.5000 4.065E+02 4.043E-01 4.069E+02 8.945E-04 0.9790 

0.6000 3.624E+02 3.438E-01 3.627E+02 1.155E-03 0.9829 

0.8000 2.997E+02 2.658E-01 3.000E+02 1.765E-03 0.9877 

1.0000 2.574E+02 2.173E-01 2.577E+02 2.487E-03 0.9905 

1.5000 1.934E+02 1.504E-01 1.936E+02 4.753E-03 0.9938 

2.0000 1.569E+02 1.157E-01 1.570E+02 7.639E-03 0.9952 

3.0000 1.160E+02 7.972E-02 1.161E+02 1.514E-02 0.9965 

4.0000 9.319E+01 6.113E-02 9.325E+01 2.482E-02 0.9971 

5.0000 7.842E+01 4.970E-02 7.847E+01 3.656E-02 0.9974 

6.0000 6.801E+01 4.195E-02 6.805E+01 5.028E-02 0.9976 

8.0000 5.417E+01 3.208E-02 5.420E+01 8.346E-02 0.9978 

10.0000 4.532E+01 2.603E-02 4.535E+01 1.240E-01 0.9980 

15.0000 3.269E+01 1.778E-02 3.271E+01 2.558E-01 0.9982 

20.0000 2.589E+01 1.356E-02 2.591E+01 4.289E-01 0.9983 

30.0000 1.864E+01 9.239E-03 1.865E+01 8.910E-01 0.9984 

40.0000 1.479E+01 7.034E-03 1.479E+01 1.498E+00 0.9985 

50.0000 1.238E+01 5.691E-03 1.238E+01 2.240E+00 0.9985 

60.0000 1.072E+01 4.786E-03 1.072E+01 3.111E+00 0.9986 

80.0000 8.578E+00 3.641E-03 8.581E+00 5.212E+00 0.9986 

100.0000 7.250E+00 2.944E-03 7.253E+00 7.759E+00 0.9987 

150.0000 5.417E+00 2.001E-03 5.419E+00 1.586E+01 0.9987 

200.0000 4.470E+00 1.522E-03 4.471E+00 2.609E+01 0.9988 

300.0000 3.504E+00 1.035E-03 3.505E+00 5.170E+01 0.9989 

400.0000 3.018E+00 7.870E-04 3.019E+00 8.263E+01 0.9990 

500.0000 2.731E+00 6.367E-04 2.732E+00 1.176E+02 0.9990 

600.0000 2.544E+00 5.355E-04 2.545E+00 1.556E+02 0.9991 

800.0000 2.323E+00 4.076E-04 2.324E+00 2.382E+02 0.9992 

1000.0000 2.203E+00 3.300E-04 2.204E+00 3.268E+02 0.9992 

1500.0000 2.065E+00 2.249E-04 2.065E+00 5.625E+02 0.9993 

2000.0000 2.017E+00 1.715E-04 2.017E+00 8.079E+02 0.9994 

3000.0000 1.998E+00 1.171E-04 1.998E+00 1.307E+03 0.9995 

4000.0000 2.010E+00 8.939E-05 2.010E+00 1.806E+03 0.9996 

5000.0000 2.029E+00 7.251E-05 2.030E+00 2.302E+03 0.9996 

6000.0000 2.050E+00 6.112E-05 2.050E+00 2.792E+03 0.9997 

8000.0000 2.090E+00 4.669E-05 2.090E+00 3.758E+03 0.9997 

10000.0000 2.124E+00 3.788E-05 2.125E+00 4.707E+03 0.9998 

11
 
 

 

 

Table A.10. Alpha particles in air, I = 85.7 eV, ρ = 0.0012 g cm-3 . 

T Sel/ρ Snuc/ρ Stot/ρ ρr0 Detour 

MeV -1 MeV cm2 g -2 g cm factor 

0.0010 8.750E+01 1.340E+02 2.215E+02 5.377E-06 0.3767 

0.0015 1.086E+02 1.256E+02 2.342E+02 7.562E-06 0.4012 

0.0020 1.267E+02 1.178E+02 2.445E+02 9.651E-06 0.4220 

0.0030 1.573E+02 1.049E+02 2.622E+02 1.360E-05 0.4558 

0.0040 1.835E+02 9.494E+01 2.784E+02 1.730E-05 0.4830 

0.0050 2.067E+02 8.698E+01 2.937E+02 2.079E-05 0.5058 

0.0060 2.279E+02 8.047E+01 3.084E+02 2.411E-05 0.5255 

0.0080 2.659E+02 7.036E+01 3.363E+02 3.032E-05 0.5580 

0.0100 2.996E+02 6.283E+01 3.624E+02 3.605E-05 0.5841 

0.0150 3.723E+02 5.018E+01 4.225E+02 4.879E-05 0.6327 

0.0200 4.343E+02 4.220E+01 4.765E+02 5.992E-05 0.6670 

0.0300 5.395E+02 3.250E+01 5.720E+02 7.900E-05 0.7136 

0.0400 6.290E+02 2.672E+01 6.557E+02 9.530E-05 0.7447 

0.0500 7.081E+02 2.284E+01 7.309E+02 1.097E-04 0.7674 

0.0600 7.798E+02 2.002E+01 7.998E+02 1.228E-04 0.7850 

0.0800 9.068E+02 1.619E+01 9.230E+02 1.460E-04 0.8107 

0.1000 1.018E+03 1.368E+01 1.032E+03 1.665E-04 0.8289 

0.1500 1.247E+03 9.991E+00 1.257E+03 2.101E-04 0.8585 

0.2000 1.429E+03 7.956E+00 1.437E+03 2.472E-04 0.8768 

0.3000 1.693E+03 5.736E+00 1.699E+03 3.108E-04 0.8993 

0.4000 1.861E+03 4.531E+00 1.866E+03 3.667E-04 0.9134 

0.5000 1.961E+03 3.767E+00 1.965E+03 4.188E-04 0.9234 

0.6000 2.008E+03 3.235E+00 2.011E+03 4.690E-04 0.9310 

0.8000 2.002E+03 2.540E+00 2.005E+03 5.682E-04 0.9424 

1.0000 1.922E+03 2.103E+00 1.924E+03 6.698E-04 0.9507 

1.5000 1.626E+03 1.487E+00 1.627E+03 9.518E-04 0.9647 

2.0000 1.381E+03 1.160E+00 1.383E+03 1.286E-03 0.9735 

3.0000 1.071E+03 8.157E-01 1.072E+03 2.115E-03 0.9834 

4.0000 8.858E+02 6.341E-01 8.864E+02 3.147E-03 0.9885 

5.0000 7.606E+02 5.211E-01 7.611E+02 4.368E-03 0.9915 

6.0000 6.696E+02 4.436E-01 6.700E+02 5.772E-03 0.9934 

8.0000 5.453E+02 3.437E-01 5.456E+02 9.101E-03 0.9955 

10.0000 4.634E+02 2.817E-01 4.637E+02 1.309E-02 0.9967 

15.0000 3.423E+02 1.959E-01 3.425E+02 2.581E-02 0.9980 

20.0000 2.747E+02 1.511E-01 2.748E+02 4.222E-02 0.9985 

30.0000 2.001E+02 1.045E-01 2.002E+02 8.546E-02 0.9990 

40.0000 1.593E+02 8.026E-02 1.593E+02 1.419E-01 0.9992 

50.0000 1.332E+02 6.533E-02 1.333E+02 2.108E-01 0.9993 

60.0000 1.150E+02 5.516E-02 1.151E+02 2.918E-01 0.9993 

80.0000 9.119E+01 4.215E-02 9.123E+01 4.885E-01 0.9994 

100.0000 7.614E+01 3.418E-02 7.618E+01 7.295E-01 0.9994 

150.0000 5.493E+01 2.324E-02 5.496E+01 1.514E+00 0.9995 

200.0000 4.369E+01 1.763E-02 4.370E+01 2.543E+00 0.9995 

300.0000 3.184E+01 1.191E-02 3.185E+01 5.265E+00 0.9996 

400.0000 2.563E+01 8.987E-03 2.564E+01 8.791E+00 0.9996 

500.0000 2.179E+01 7.219E-03 2.179E+01 1.304E+01 0.9996 

600.0000 1.917E+01 6.034E-03 1.917E+01 1.795E+01 0.9996 

800.0000 1.583E+01 4.533E-03 1.583E+01 2.951E+01 0.9996 

1000.0000 1.379E+01 3.635E-03 1.379E+01 4.310E+01 0.9997 

12
 
 

 

Table A.11. Alpha particles in graphite, I = 81 eV, ρ = 2.265 g cm-3 . 

T Sel/ρ Snuc/ρ Stot/ρ ρr0 Detour 

MeV -1 MeV cm2 g -2 g cm factor 

0.0010 1.923E+02 1.557E+02 3.480E+02 3.630E-06 0.4644 

0.0015 2.289E+02 1.441E+02 3.730E+02 5.010E-06 0.4941 

0.0020 2.590E+02 1.340E+02 3.930E+02 6.315E-06 0.5185 

0.0030 3.083E+02 1.179E+02 4.262E+02 8.755E-06 0.5565 

0.0040 3.489E+02 1.058E+02 4.547E+02 1.102E-05 0.5856 

0.0050 3.840E+02 9.627E+01 4.803E+02 1.316E-05 0.6091 

0.0060 4.153E+02 8.860E+01 5.039E+02 1.520E-05 0.6288 

0.0080 4.699E+02 7.685E+01 5.468E+02 1.900E-05 0.6602 

0.0100 5.170E+02 6.822E+01 5.852E+02 2.253E-05 0.6846 

0.0150 6.151E+02 5.395E+01 6.690E+02 3.050E-05 0.7280 

0.0200 6.955E+02 4.509E+01 7.406E+02 3.760E-05 0.7575 

0.0300 8.262E+02 3.446E+01 8.607E+02 5.008E-05 0.7963 

0.0400 9.327E+02 2.820E+01 9.609E+02 6.105E-05 0.8213 

0.0500 1.024E+03 2.402E+01 1.048E+03 7.100E-05 0.8393 

0.0600 1.104E+03 2.101E+01 1.125E+03 8.021E-05 0.8530 

0.0800 1.240E+03 1.693E+01 1.257E+03 9.699E-05 0.8727 

0.1000 1.354E+03 1.427E+01 1.368E+03 1.122E-04 0.8866 

0.1500 1.574E+03 1.038E+01 1.584E+03 1.460E-04 0.9087 

0.2000 1.731E+03 8.249E+00 1.739E+03 1.760E-04 0.9222 

0.3000 1.929E+03 5.931E+00 1.935E+03 2.302E-04 0.9385 

0.4000 2.027E+03 4.677E+00 2.032E+03 2.805E-04 0.9485 

0.5000 2.063E+03 3.884E+00 2.067E+03 3.292E-04 0.9555 

0.6000 2.060E+03 3.333E+00 2.063E+03 3.776E-04 0.9608 

0.8000 1.993E+03 2.613E+00 1.996E+03 4.759E-04 0.9683 

1.0000 1.891E+03 2.161E+00 1.893E+03 5.788E-04 0.9736 

1.5000 1.615E+03 1.526E+00 1.616E+03 8.644E-04 0.9818 

2.0000 1.387E+03 1.189E+00 1.388E+03 1.199E-03 0.9865 

3.0000 1.085E+03 8.350E-01 1.086E+03 2.021E-03 0.9916 

4.0000 8.982E+02 6.486E-01 8.988E+02 3.038E-03 0.9941 

5.0000 7.720E+02 5.327E-01 7.725E+02 4.242E-03 0.9956 

6.0000 6.804E+02 4.532E-01 6.808E+02 5.624E-03 0.9965 

8.0000 5.544E+02 3.509E-01 5.547E+02 8.899E-03 0.9976 

10.0000 4.712E+02 2.874E-01 4.715E+02 1.282E-02 0.9981 

15.0000 3.478E+02 1.996E-01 3.480E+02 2.533E-02 0.9988 

20.0000 2.788E+02 1.538E-01 2.789E+02 4.149E-02 0.9991 

30.0000 2.028E+02 1.062E-01 2.029E+02 8.414E-02 0.9993 

40.0000 1.612E+02 8.149E-02 1.613E+02 1.398E-01 0.9994 

50.0000 1.348E+02 6.626E-02 1.348E+02 2.079E-01 0.9995 

60.0000 1.163E+02 5.588E-02 1.164E+02 2.880E-01 0.9905 

80.0000 9.214E+01 4.266E-02 9.218E+01 4.826E-01 0.9995 

100.0000 7.689E+01 3.455E-02 7.693E+01 7.212E-01 0.9996 

150.0000 5.543E+01 2.344E-02 5.545E+01 1.499E+00 0.9996 

200.0000 4.405E+01 1.776E-02 4.407E+01 2.518E+00 0.9996 

300.0000 3.209E+01 1.198E-02 3.210E+01 5.219E+00 0.9996 

400.0000 2.581E+01 9.027E-03 2.582E+01 8.720E+00 0.9997 

500.0000 2.193E+01 7.251E-03 2.193E+01 1.294E+01 0.9997 

600.0000 1.928E+01 6.049E-03 1.929E+01 1.782E+01 0.9997 

800.0000 1.591E+01 4.548E-03 1.591E+01 2.932E+01 0.9997 

1000.0000 1.384E+01 3.643E-03 1.385E+01 4.285E+01 0.9997 

13
 
 

 

Table A.12. Alpha particles in liquid water, I = 78 eV, ρ = 0.998 g cm-3 . 

T Sel/ρ Snuc/ρ Stot/ρ ρr0 Detour 

MeV -1 MeV cm2 g -2 g cm factor 

0.0010 9.891E+01 2.282E+02 3.271E+02 3.273E-06 0.5212 

0.0015 1.228E+02 2.078E+02 3.306E+02 4.789E-06 0.5364 

0.0020 1.431E+02 1.912E+02 3.343E+02 6.294E-06 0.5501 

0.0030 1.776E+02 1.660E+02 3.436E+02 9.247E-06 0.5737 

0.0040 2.069E+02 1.477E+02 3.546E+02 1.211E-05 0.5934 

0.0050 2.330E+02 1.336E+02 3.666E+02 1.489E-05 0.6102 

0.0060 2.568E+02 1.225E+02 3.793E+02 1.757E-05 0.6250 

0.0080 2.993E+02 1.056E+02 4.049E+02 2.267E-05 0.6497 

0.0100 3.370E+02 9.341E+01 4.304E+02 2.746E-05 0.6700 

0.0150 4.181E+02 7.347E+01 4.916E+02 3.831E-05 0.7080 

0.0200 4.871E+02 6.123E+01 5.483E+02 4.793E-05 0.7352 

0.0300 6.039E+02 4.665E+01 6.506E+02 6.462E-05 0.7724 

0.0400 7.030E+02 3.811E+01 7.411E+02 7.900E-05 0.7973 

0.0500 7.905E+02 3.242E+01 8.229E+02 9.179E-05 0.8155 

0.0600 8.696E+02 2.834E+01 8.979E+02 1.034E-04 0.8296 

0.0800 1.009E+03 2.281E+01 1.032E+03 1.241E-04 0.8503 

0.1000 1.131E+03 1.921E+01 1.150E+03 1.425E-04 0.8649 

0.1500 1.383E+03 1.397E+01 1.397E+03 1.817E-04 0.8886 

0.2000 1.582E+03 1.109E+01 1.593E+03 2.151E-04 0.9032 

0.3000 1.873E+03 7.969E+00 1.881E+03 2.725E-04 0.9212 

0.4000 2.062E+03 6.282E+00 2.068E+03 3.230E-04 0.9323 

0.5000 2.178E+03 5.214E+00 2.183E+03 3.699E-04 0.9402 

0.6000 2.240E+03 4.473E+00 2.244E+03 4.150E-04 0.9462 

0.8000 2.256E+03 3.506E+00 2.260E+03 5.034E-04 0.9551 

1.0000 2.190E+03 2.898E+00 2.193E+03 5.931E-04 0.9615 

1.5000 1.877E+03 2.045E+00 1.879E+03 8.385E-04 0.9722 

2.0000 1.599E+03 1.594E+00 1.600E+03 1.128E-03 0.9789 

3.0000 1.239E+03 1.119E+00 1.240E+03 1.844E-03 0.9867 

4.0000 1.021E+03 8.686E-01 1.022E+03 2.737E-03 0.9907 

5.0000 8.747E+02 7.132E-01 8.754E+02 3.798E-03 0.9931 

6.0000 7.687E+02 6.066E-01 7.693E+02 5.020E-03 0.9946 

8.0000 6.239E+02 4.694E-01 6.243E+02 7.924E-03 0.9963 

10.0000 5.290E+02 3.844E-01 5.294E+02 1.142E-02 0.9973 

15.0000 3.894E+02 2.667E-01 3.896E+02 2.258E-02 0.9983 

20.0000 3.118E+02 2.054E-01 3.121E+02 3.702E-02 0.9988 

30.0000 2.267E+02 1.417E-01 2.269E+02 7.514E-02 0.9992 

40.0000 1.802E+02 1.087E-01 1.803E+02 1.250E-01 0.9993 

50.0000 1.506E+02 8.833E-02 1.507E+02 1.859E-01 0.9991 

60.0000 1.300E+02 7.448E-02 1.301E+02 2.575E-01 0.9994 

80.0000 1.030E+02 5.679E-02 1.030E+02 4.317E-01 0.9995 

100.0000 8.593E+01 4.598E-02 8.597E+01 6.452E-01 0.9995 

150.0000 6.194E+01 3.121E-02 6.197E+01 1.341E+00 0.9996 

200.0000 4.923E+01 2.362E-02 4.925E+01 2.253E+00 0.9996 

300.0000 3.586E+01 1.593E-02 3.587E+01 4.670E+00 0.9996 

400.0000 2.885E+01 1.201E-02 2.886E+01 7.802E+00 0.9996 

500.0000 2.452E+01 9.637E-03 2.453E+01 1.158E+01 0.9997 

600.0000 2.156E+01 8.053E-03 2.157E+01 1.594E+01 0.9997 

800.0000 1.780E+01 6.052E-03 1.781E+01 2.622E+01 0.9997 

1000.0000 1.550E+01 4.848E-03 1.551E+01 3.830E+01 0.9997 

14
 
 

 

Table A.13. Carbon ions in air, I = 85.7 eV, ρ = 0.0012 g cm-3 . 

T Sel/ρ Snuc/ρ Stot/ρ ρr0ρ

MeV -1 MeV cm2 g -2 g cm

0.0010 1.188E+02 7.394E+02 8.582E+02 5.826E-07 

0.0015 1.475E+02 7.705E+02 9.180E+02 1.141E-06 

0.0020 1.720E+02 7.815E+02 9.535E+02 1.675E-06 

0.0030 2.135E+02 7.794E+02 9.929E+02 2.700E-06 

0.0040 2.504E+02 7.647E+02 1.015E+03 3.695E-06 

0.0050 2.801E+02 7.460E+02 1.026E+03 4.675E-06 

0.0060 3.091E+02 7.263E+02 1.035E+03 5.645E-06 

0.0080 3.605E+02 6.881E+02 1.049E+03 7.563E-06 

0.0100 4.061E+02 6.530E+02 1.059E+03 9.461E-06 

0.0150 5.045E+02 5.801E+02 1.085E+03 1.413E-05 

0.0200 5.885E+02 5.241E+02 1.113E+03 1.868E-05 

0.0300 7.312E+02 4.431E+02 1.174E+03 2.743E-05 

0.0400 8.530E+02 3.869E+02 1.240E+03 3.572E-05 

0.0500 9.614E+02 3.451E+02 1.306E+03 4.357E-05 

0.0600 1.060E+03 3.125E+02 1.373E+03 5.104E-05 

0.0800 1.237E+03 2.646E+02 1.502E+03 6.496E-05 

0.1000 1.394E+03 2.309E+02 1.625E+03 7.776E-05 

0.1500 1.733E+03 1.776E+02 1.911E+03 1.061E-04 

0.2000 2.023E+03 1.458E+02 2.169E+03 1.306E-04 

0.3000 2.517E+03 1.091E+02 2.626E+03 1.723E-04 

0.4000 2.939E+03 8.819E+01 3.027E+03 2.077E-04 

0.5000 3.312E+03 7.446E+01 3.387E+03 2.389E-04 

0.6000 3.648E+03 6.470E+01 3.713E+03 2.671E-04 

0.8000 4.235E+03 5.165E+01 4.286E+03 3.170E-04 

1.0000 4.727E+03 4.325E+01 4.771E+03 3.612E-04 

1.5000 5.637E+03 3.117E+01 5.668E+03 4.566E-04 

2.0000 6.191E+03 2.461E+01 6.215E+03 5.405E-04 

3.0000 6.631E+03 1.757E+01 6.648E+03 6.947E-04 

4.0000 6.573E+03 1.379E+01 6.586E+03 8.452E-04 

5.0000 6.379E+03 1.141E+01 6.390E+03 9.993E-04 

6.0000 6.178E+03 9.765E+00 6.188E+03 1.158E-03 

8.0000 5.822E+03 7.630E+00 5.830E+03 1.491E-03 

10.0000 5.525E+03 6.291E+00 5.531E+03 1.844E-03 

15.0000 4.915E+03 4.423E+00 4.920E+03 2.804E-03 

20.0000 4.425E+03 3.438E+00 4.428E+03 3.877E-03 

30.0000 3.679E+03 2.404E+00 3.681E+03 6.363E-03 

40.0000 3.155E+03 1.863E+00 3.157E+03 9.306E-03 

50.0000 2.754E+03 1.527E+00 2.755E+03 1.270E-02 

60.0000 2.425E+03 1.297E+00 2.426E+03 1.658E-02 

80.0000 1.948E+03 1.001E+00 1.949E+03 2.584E-02 

100.0000 1.639E+03 8.183E-01 1.639E+03 3.707E-02 

150.0000 1.191E+03 5.656E-01 1.191E+03 7.338E-02 

200.0000 9.467E+02 4.344E-01 9.471E+02 1.208E-01 

300.0000 6.839E+02 2.984E-01 6.842E+02 2.469E-01 

400.0000 5.430E+02 2.279E-01 5.433E+02 4.122E-01 

500.0000 4.545E+02 1.848E-01 4.547E+02 6.144E-01 

600.0000 3.935E+02 1.555E-01 3.936E+02 8.515E-01 

800.0000 3.143E+02 1.181E-01 3.145E+02 1.424E+00 

1000.0000 2.651E+02 9.524E-02 2.652E+02 2.120E+00 

1500.0000 1.967E+02 6.436E-02 1.968E+02 4.343E+00 

2000.0000 1.612E+02 4.853E-02 1.612E+02 7.171E+00 

3000.0000 1.247E+02 3.258E-02 1.247E+02 1.432E+01 

4000.0000 1.062E+02 2.448E-02 1.062E+02 2.307E+01 

5000.0000 9.506E+01 1.962E-02 9.508E+01 3.306E+01 

6000.0000 8.777E+01 1.637E-02 8.779E+01 4.403E+01 

8000.0000 7.896E+01 1.230E-02 7.897E+01 6.817E+01 

10000.0000 7.402E+01 9.842E-03 7.403E+01 9.440E+01 

15
 
 

 

Table A.14. Carbon ions in graphite, I = 81 eV, ρ = 2.265 g cm-3 . 

T Sel/ρ Snuc/ρ Stot/ρ ρr0 

MeV -1 MeV cm2 g -2 g cm

0.0010 3.092E+02 8.506E+02 1.160E+03 4.311E-07 

0.0015 3.701E+02 8.801E+02 1.250E+03 8.429E-07 

0.0020 4.204E+02 8.877E+02 1.308E+03 1.233E-06 

0.0030 5.032E+02 8.780E+02 1.381E+03 1.976E-06 

0.0040 5.748E+02 8.563E+02 1.431E+03 2.686E-06 

0.0050 6.302E+02 8.313E+02 1.461E+03 3.377E-06 

0.0060 6.836E+02 8.063E+02 1.490E+03 4.054E-06 

0.0080 7.755E+02 7.590E+02 1.534E+03 5.376E-06 

0.0100 8.546E+02 7.167E+02 1.571E+03 6.664E-06 

0.0150 1.019E+03 6.310E+02 1.650E+03 9.767E-06 

0.0200 1.153E+03 5.666E+02 1.720E+03 1.273E-05 

0.0300 1.370E+03 4.749E+02 1.845E+03 1.834E-05 

0.0400 1.546E+03 4.124E+02 1.958E+03 2.360E-05 

0.0500 1.696E+03 3.662E+02 2.062E+03 2.858E-05 

0.0600 1.829E+03 3.305E+02 2.160E+03 3.331E-05 

0.0800 2.062E+03 2.785E+02 2.340E+03 4.220E-05 

0.1000 2.268E+03 2.422E+02 2.510E+03 5.045E-05 

0.1500 2.719E+03 1.852E+02 2.904E+03 6.893E-05 

0.2000 3.106E+03 1.516E+02 3.258E+03 8.516E-05 

0.3000 3.747E+03 1.130E+02 3.860E+03 1.132E-04 

0.4000 4.269E+03 9.108E+01 4.360E+03 1.376E-04 

0.5000 4.709E+03 7.677E+01 4.786E+03 1.594E-04 

0.6000 5.089E+03 6.663E+01 5.156E+03 1.795E-04 

0.8000 5.711E+03 5.309E+01 5.764E+03 2.161E-04 

1.0000 6.192E+03 4.440E+01 6.237E+03 2.494E-04 

1.5000 6.973E+03 3.194E+01 7.005E+03 3.245E-04 

2.0000 7.368E+03 2.519E+01 7.393E+03 3.938E-04 

3.0000 7.591E+03 1.795E+01 7.609E+03 5.264E-04 

4.0000 7.475E+03 1.408E+01 7.489E+03 6.585E-04 

5.0000 7.227E+03 1.164E+01 7.238E+03 7.943E-04 

6.0000 6.964E+03 9.958E+00 6.974E+03 9.350E-04 

8.0000 6.484E+03 7.773E+00 6.492E+03 1.232E-03 

10.0000 6.077E+03 6.406E+00 6.083E+03 1.551E-03 

15.0000 5.278E+03 4.500E+00 5.282E+03 2.436E-03 

20.0000 4.685E+03 3.495E+00 4.688E+03 3.442E-03 

30.0000 3.827E+03 2.442E+00 3.830E+03 5.815E-03 

40.0000 3.240E+03 1.891E+00 3.242E+03 8.662E-03 

50.0000 2.801E+03 1.549E+00 2.803E+03 1.199E-02 

60.0000 2.458E+03 1.315E+00 2.459E+03 1.580E-02 

80.0000 1.973E+03 1.015E+00 1.974E+03 2.494E-02 

100.0000 1.659E+03 8.291E-01 1.660E+03 3.604E-02 

150.0000 1.204E+03 5.724E-01 1.205E+03 7.192E-02 

200.0000 9.567E+02 4.393E-01 9.571E+02 1.188E-01 

300.0000 6.905E+02 3.012E-01 6.908E+02 2.437E-01 

400.0000 5.480E+02 2.301E-01 5.482E+02 4.075E-01 

500.0000 4.585E+02 1.864E-01 4.587E+02 6.079E-01 

600.0000 3.967E+02 1.566E-01 3.969E+02 8.430E-01 

800.0000 3.168E+02 1.188E-01 3.169E+02 1.411E+00 

1000.0000 2.670E+02 9.581E-02 2.671E+02 2.102E+00 

1500.0000 1.980E+02 6.463E-02 1.980E+02 4.309E+00 

2000.0000 1.621E+02 4.870E-02 1.621E+02 7.121E+00 

3000.0000 1.251E+02 3.265E-02 1.252E+02 1.424E+01 

4000.0000 1.064E+02 2.454E-02 1.064E+02 2.296E+01 

5000.0000 9.506E+01 1.966E-02 9.508E+01 3.294E+01 

6000.0000 8.759E+01 1.640E-02 8.761E+01 4.392E+01 

8000.0000 7.848E+01 1.232E-02 7.849E+01 6.817E+01 

10000.0000 7.322E+01 9.855E-03 7.323E+01 9.466E+01 

16
 
 

 

Table A.15. Carbon ions in liquid water, I = 78 eV, ρ = 0.998 g cm-3 . T Sel/ρ Snuc/ρ Stot/ρ ρr0 

MeV -1 MeV cm2 g -2 g cm

0.0010 1.421E+02 1.037E+03 1.179E+03 4.241E-07 

0.0015 1.773E+02 1.077E+03 1.254E+03 8.319E-07 

0.0020 2.075E+02 1.090E+03 1.297E+03 1.224E-06 

0.0030 2.589E+02 1.083E+03 1.342E+03 1.980E-06 

0.0040 3.047E+02 1.059E+03 1.364E+03 2.718E-06 

0.0050 3.416E+02 1.032E+03 1.374E+03 3.448E-06 

0.0060 3.776E+02 1.003E+03 1.381E+03 4.175E-06 

0.0080 4.412E+02 9.475E+02 1.389E+03 5.619E-06 

0.0100 4.975E+02 8.973E+02 1.395E+03 7.056E-06 

0.0150 6.183E+02 7.944E+02 1.413E+03 1.062E-05 

0.0200 7.207E+02 7.160E+02 1.437E+03 1.413E-05 

0.0300 8.930E+02 6.034E+02 1.496E+03 2.095E-05 

0.0400 1.038E+03 5.258E+02 1.564E+03 2.749E-05 

0.0500 1.166E+03 4.683E+02 1.634E+03 3.375E-05 

0.0600 1.281E+03 4.236E+02 1.705E+03 3.974E-05 

0.0800 1.488E+03 3.581E+02 1.847E+03 5.101E-05 

0.1000 1.676E+03 3.122E+02 1.988E+03 6.144E-05 

0.1500 2.099E+03 2.396E+02 2.339E+03 8.459E-05 

0.2000 2.476E+03 1.966E+02 2.673E+03 1.046E-04 

0.3000 3.131E+03 1.469E+02 3.278E+03 1.382E-04 

0.4000 3.696E+03 1.186E+02 3.814E+03 1.664E-04 

0.5000 4.198E+03 1.001E+02 4.298E+03 1.911E-04 

0.6000 4.652E+03 8.697E+01 4.739E+03 2.132E-04 

0.8000 5.446E+03 6.939E+01 5.515E+03 2.522E-04 

1.0000 6.116E+03 5.808E+01 6.174E+03 2.864E-04 

1.5000 7.364E+03 4.184E+01 7.406E+03 3.598E-04 

2.0000 8.139E+03 3.302E+01 8.172E+03 4.238E-04 

3.0000 8.791E+03 2.356E+01 8.815E+03 5.405E-04 

4.0000 8.708E+03 1.848E+01 8.727E+03 6.540E-04 

5.0000 8.372E+03 1.529E+01 8.387E+03 7.708E-04 

6.0000 8.029E+03 1.309E+01 8.042E+03 8.926E-04 

8.0000 7.422E+03 1.022E+01 7.433E+03 1.152E-03 

10.0000 6.926E+03 8.428E+00 6.934E+03 1.430E-03 

15.0000 5.980E+03 5.924E+00 5.986E+03 2.209E-03 

20.0000 5.284E+03 4.603E+00 5.289E+03 3.100E-03 

30.0000 4.297E+03 3.218E+00 4.300E+03 5.208E-03 

40.0000 3.627E+03 2.493E+00 3.630E+03 7.749E-03 

50.0000 3.134E+03 2.043E+00 3.136E+03 1.072E-02 

60.0000 2.750E+03 1.735E+00 2.752E+03 1.413E-02 

80.0000 2.207E+03 1.339E+00 2.208E+03 2.230E-02 

100.0000 1.855E+03 1.094E+00 1.856E+03 3.222E-02 

150.0000 1.346E+03 7.563E-01 1.347E+03 6.432E-02 

200.0000 1.069E+03 5.806E-01 1.070E+03 1.063E-01 

300.0000 7.717E+02 3.986E-01 7.721E+02 2.180E-01 

400.0000 6.124E+02 3.045E-01 6.127E+02 3.646E-01 

500.0000 5.123E+02 2.468E-01 5.126E+02 5.438E-01 

600.0000 4.434E+02 2.076E-01 4.436E+02 7.542E-01 

800.0000 3.540E+02 1.576E-01 3.542E+02 1.263E+00 

1000.0000 2.984E+02 1.271E-01 2.985E+02 1.881E+00 

1500.0000 2.213E+02 8.582E-02 2.214E+02 3.855E+00 

2000.0000 1.813E+02 6.474E-02 1.814E+02 6.369E+00 

3000.0000 1.402E+02 4.342E-02 1.402E+02 1.273E+01 

4000.0000 1.193E+02 3.264E-02 1.193E+02 2.051E+01 

5000.0000 1.068E+02 2.615E-02 1.068E+02 2.940E+01 

6000.0000 9.860E+01 2.182E-02 9.862E+01 3.916E+01 

8000.0000 8.867E+01 1.639E-02 8.869E+01 6.066E+01 

10000.0000 8.311E+01 1.312E-02 8.312E+01 8.401E+01 

17