Table 7.
Calculated (using the BK rule) and measured (Moyers et al 2009) WER values of various materials with different thicknesses (tm) in proton beams, carbon ions and iron ions at certain energies (Ei), and the difference between the results predicted by the BK rule and the measured data (ΔRBK, exp).
| tm | Ei | WER |
ΔRBK, exp | |||
|---|---|---|---|---|---|---|
| Particle | Material | (mm) | (MeV/u) | BK | Measurement | (mm) |
| Proton | Aluminum | 19.3 | 135 | 2.097 | 2.130 | −0.637 |
| 175 | 2.107 | 2.114 | −0.135 | |||
| 225 | 2.116 | 2.145 | −0.560 | |||
| PMMA | 96.5 | 135 | 1.158 | 1.170 | −1.158 | |
| 175 | 1.158 | 1.162 | −0.386 | |||
| 225 | 1.158 | 1.167 | −0.869 | |||
| HDPE | 102.9 | 135 | 1.023 | 1.036 | −1.338 | |
| 175 | 1.022 | 1.031 | −0.926 | |||
| 225 | 1.021 | 1.035 | −1.441 | |||
| PVC | 37 | 135 | 1.224 | 1.232 | −0.296 | |
| 175 | 1.227 | 1.232 | −0.185 | |||
| 225 | 1.229 | 1.254 | −0.925 | |||
| Bone substitute | 30.1 | 135 | 1.625 | 1.635 | −0.301 | |
| 175 | 1.627 | 1.615 | 0.361 | |||
| 225 | 1.630 | 1.631 | −0.030 | |||
| Carbon | Aluminum | 40.28 | 290 | 2.117 | 2.125 | −0.322 |
| HDPE | 100.27 | 290 | 1.020 | 1.021 | −0.100 | |
| Bone substitute | 60.07 | 290 | 1.630 | 1.613 | 1.021 | |
| Iron | Aluminum | 60.37 | 970 | 2.192 | 2.153 | 2.354 |
| PMMA | 95.23 | 970 | 1.165 | 1.165 | 0.0 | |
| HDPE | 150.44 | 970 | 1.017 | 1.017 | 0.0 | |
| Bone substitute | 90.14 | 970 | 1.632 | 1.620 | 1.082 | |