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. Author manuscript; available in PMC: 2010 Nov 10.
Published in final edited form as: Phys Med Biol. 2010 Apr 6;55(9):2481–2493. doi: 10.1088/0031-9155/55/9/004

Table 5.

For carbon ions, the values of WER calculated using the analytical formulas (BK, BB and EBB) and NM for various materials as a function of the material thickness, beam energy (Ei, MeV per nucleon, MeV/u), and the corresponding residual range in water (Rw). Dashes indicate that the carbon beam stopped in the target.

WER
Ei Rw 1.2 cm lead
 1.5 cm aluminum
 10 cm PMMA
(MeV/u) (cm) NM BK BB EBB NM BK BB EBB NM BK BB EBB
125   3.81 – – – – 2.09 2.095 2.102 2.102 – – – –
145.83   4.99 – – – – 2.099 2.101 2.109 2.109 – – – –
166.67   6.3 – – – – 2.104 2.105 2.114 2.114 – – – –
187.5   7.72 5.57 5.583 5.647 5.568 2.108 2.109 2.118 2.118 – – – –
208.33   9.26 5.631 5.641 5.711 5.635 2.111 2.112 2.121 2.121 – – – –
229.17 10.88 5.675 5.684 5.754 5.679 2.114 2.114 2.124 2.124 – – – –
250 12.61 5.712 5.720 5.787 5.713 2.116 2.116 2.126 2.126 1.157 1.158 1.167 1.159
270.83 14.41 5.743 5.749 5.814 5.741 2.118 2.118 2.128 2.128 1.158 1.158 1.167 1.158
291.67 16.29 5.771 5.776 5.836 5.764 2.12 2.120 2.130 2.130 1.157 1.158 1.166 1.158
312.5 18.27 5.796 5.799 5.856 5.785 2.122 2.122 2.131 2.131 1.157 1.157 1.166 1.158
333.33 20.33 5.819 5.821 5.874 5.803 2.123 2.123 2.133 2.133 1.157 1.157 1.166 1.158
354.17 22.42 5.841 5.840 5.890 5.819 2.125 2.125 2.134 2.134 1.157 1.157 1.166 1.158
375 24.58 5.86 5.859 5.905 5.835 2.126 2.126 2.135 2.135 1.157 1.157 1.166 1.158
395.83 26.82 5.878 5.876 5.918 5.848 2.127 2.128 2.136 2.137 1.157 1.157 1.166 1.158
416.67 29.13 5.895 5.892 5.930 5.861 2.129 2.129 2.138 2.138 1.157 1.157 1.165 1.158
437.5 31.46 5.911 5.907 5.942 5.873 2.13 2.130 2.139 2.139 1.157 1.157 1.165 1.158
458.33 33.85 5.926 5.921 5.953 5.885 2.131 2.131 2.140 2.140 1.157 1.157 1.165 1.158
479.17 36.31 5.94 5.934 5.963 5.896 2.132 2.132 2.140 2.141 1.157 1.157 1.165 1.158
500 38.83 5.953 5.947 5.973 5.906 2.133 2.133 2.141 2.142 1.157 1.157 1.165 1.158
520.83 41.35 5.965 5.959 5.983 5.915 2.134 2.134 2.142 2.142 1.157 1.157 1.165 1.158
541.67 43.93 5.977 5.971 5.992 5.925 2.135 2.135 2.143 2.143 1.157 1.157 1.165 1.158
562.5 46.56 5.988 5.982 6.000 5.933 2.136 2.136 2.144 2.144 1.157 1.157 1.165 1.158
583.33 49.24 5.999 5.993 6.008 5.942 2.136 2.137 2.145 2.145 1.157 1.157 1.165 1.158
604.17 51.92 6.009 6.003 6.016 5.950 2.137 2.137 2.145 2.145 1.157 1.157 1.165 1.158
625 54.65 6.018 6.013 6.024 5.958 2.138 2.138 2.146 2.146 1.157 1.157 1.165 1.158
645.83 57.43 6.027 6.023 6.031 5.965 2.139 2.139 2.147 2.147 1.157 1.157 1.165 1.157
666.67 60.25 6.036 6.032 6.038 5.973 2.139 2.140 2.147 2.147 1.157 1.157 1.165 1.157
687.5 63.05 6.044 6.041 6.045 5.980 2.14 2.140 2.148 2.148 1.157 1.157 1.165 1.157
708.33 65.89 6.052 6.050 6.051 5.987 2.141 2.141 2.149 2.149 1.157 1.157 1.165 1.157
729.17 68.78 6.059 6.058 6.058 5.993 2.141 2.142 2.149 2.149 1.156 1.157 1.165 1.157
750 71.7 6.066 6.066 6.064 6.000 2.142 2.142 2.150 2.150 1.156 1.157 1.164 1.157
770.83 74.61 6.073 6.074 6.070 6.006 2.143 2.143 2.150 2.150 1.156 1.157 1.164 1.157
791.67 77.56 6.08 6.082 6.076 6.012 2.143 2.144 2.151 2.151 1.156 1.157 1.164 1.157
812.5 80.54 6.086 6.090 6.082 6.018 2.144 2.144 2.151 2.152 1.156 1.156 1.164 1.157
833.33 83.55 6.092 6.097 6.088 6.024 2.144 2.145 2.152 2.152 1.156 1.156 1.164 1.157