Table 4. Calculated IMFP Values versus Energy Relative to the Bottom of the Conduction Banda.
IMFP
(nm) |
||||
---|---|---|---|---|
energy (eV) | liquid water | LiF | CaF2 | Al2O3 |
10.0 | 10.2 | 19.7 | ||
11.0 | 7.64 | 11.1 | ||
12.2 | 5.95 | 17.0 | 7.49 | |
13.5 | 4.78 | 10.2 | 5.47 | |
14.9 | 3.94 | 8.61 | 7.08 | 4.20 |
16.4 | 3.31 | 5.83 | 5.32 | 3.36 |
18.2 | 2.83 | 4.33 | 4.14 | 2.76 |
20.1 | 2.45 | 3.41 | 3.33 | 2.30 |
22.2 | 2.14 | 2.78 | 2.76 | 1.95 |
24.5 | 1.89 | 2.31 | 2.34 | 1.68 |
27.1 | 1.69 | 1.91 | 2.01 | 1.46 |
30.0 | 1.53 | 1.62 | 1.74 | 1.29 |
33.1 | 1.39 | 1.40 | 1.53 | 1.15 |
36.6 | 1.28 | 1.24 | 1.35 | 1.04 |
40.4 | 1.20 | 1.12 | 1.22 | 0.942 |
44.7 | 1.13 | 1.02 | 1.12 | 0.858 |
49.4 | 1.08 | 0.941 | 1.05 | 0.777 |
54.6 | 1.04 | 0.837 | 0.990 | 0.705 |
60.3 | 1.01 | 0.759 | 0.941 | 0.651 |
66.7 | 0.996 | 0.713 | 0.901 | 0.618 |
73.7 | 0.989 | 0.690 | 0.870 | 0.599 |
81.5 | 0.990 | 0.678 | 0.848 | 0.588 |
90.0 | 0.998 | 0.674 | 0.828 | 0.583 |
99.5 | 1.01 | 0.676 | 0.810 | 0.585 |
109.9 | 1.04 | 0.684 | 0.797 | 0.591 |
121.5 | 1.07 | 0.697 | 0.793 | 0.602 |
134.3 | 1.10 | 0.714 | 0.799 | 0.618 |
148.4 | 1.15 | 0.736 | 0.814 | 0.637 |
164.0 | 1.20 | 0.760 | 0.836 | 0.661 |
181.3 | 1.26 | 0.788 | 0.865 | 0.689 |
200.3 | 1.32 | 0.821 | 0.900 | 0.720 |
221.4 | 1.40 | 0.858 | 0.941 | 0.755 |
244.7 | 1.48 | 0.900 | 0.987 | 0.794 |
270.4 | 1.57 | 0.947 | 1.04 | 0.837 |
298.9 | 1.67 | 1.00 | 1.10 | 0.884 |
330.3 | 1.78 | 1.06 | 1.16 | 0.935 |
365.0 | 1.90 | 1.12 | 1.24 | 0.992 |
403.4 | 2.04 | 1.20 | 1.32 | 1.05 |
445.9 | 2.18 | 1.28 | 1.40 | 1.12 |
492.7 | 2.34 | 1.36 | 1.50 | 1.20 |
544.6 | 2.52 | 1.46 | 1.61 | 1.28 |
601.8 | 2.70 | 1.57 | 1.72 | 1.37 |
665.1 | 2.91 | 1.68 | 1.85 | 1.46 |
735.1 | 3.14 | 1.81 | 1.99 | 1.57 |
812.4 | 3.38 | 1.94 | 2.14 | 1.69 |
897.8 | 3.65 | 2.09 | 2.30 | 1.81 |
992.3 | 3.94 | 2.26 | 2.48 | 1.95 |
1096.6 | 4.26 | 2.44 | 2.67 | 2.10 |
1212.0 | 4.61 | 2.63 | 2.88 | 2.27 |
1339.4 | 4.99 | 2.84 | 3.11 | 2.44 |
1480.3 | 5.40 | 3.07 | 3.36 | 2.64 |
1636.0 | 5.85 | 3.32 | 3.63 | 2.85 |
1808.0 | 6.34 | 3.60 | 3.93 | 3.09 |
1998.2 | 6.87 | 3.90 | 4.25 | 3.34 |
2208.3 | 7.45 | 4.22 | 4.60 | 3.61 |
2440.6 | 8.08 | 4.57 | 4.98 | 3.91 |
2697.3 | 8.77 | 4.96 | 5.40 | 4.24 |
2981.0 | 9.52 | 5.38 | 5.85 | 4.59 |
3294.5 | 10.3 | 5.83 | 6.34 | 4.98 |
3641.0 | 11.2 | 6.33 | 6.88 | 5.40 |
4023.9 | 12.2 | 6.87 | 7.46 | 5.86 |
4447.1 | 13.2 | 7.46 | 8.10 | 6.36 |
4914.8 | 14.4 | 8.10 | 8.79 | 6.90 |
5431.7 | 15.6 | 8.80 | 9.54 | 7.49 |
6002.9 | 17.0 | 9.55 | 10.4 | 8.13 |
6634.2 | 18.5 | 10.4 | 11.3 | 8.83 |
7332.0 | 20.1 | 11.3 | 12.2 | 9.59 |
8103.1 | 21.8 | 12.3 | 13.3 | 10.4 |
8955.3 | 23.7 | 13.3 | 14.4 | 11.3 |
9897.1 | 25.8 | 14.5 | 15.7 | 12.3 |
10938.0 | 28.1 | 15.7 | 17.0 | 13.4 |
12088.4 | 30.5 | 17.1 | 18.5 | 14.5 |
13359.7 | 33.2 | 18.6 | 20.1 | 15.8 |
14764.8 | 36.1 | 20.2 | 21.8 | 17.1 |
16317.6 | 39.2 | 21.9 | 23.7 | 18.6 |
18033.7 | 42.6 | 23.8 | 25.7 | 20.2 |
19930.4 | 46.2 | 25.8 | 27.9 | 21.9 |
22026.5 | 50.2 | 28.0 | 30.3 | 23.7 |
24343.0 | 54.5 | 30.4 | 32.8 | 25.8 |
26903.2 | 59.1 | 33.0 | 35.6 | 27.9 |
29732.6 | 64.1 | 35.7 | 38.6 | 30.3 |
32859.6 | 69.5 | 38.7 | 41.8 | 32.8 |
36315.5 | 75.2 | 41.9 | 45.2 | 35.5 |
40134.8 | 81.5 | 45.3 | 48.9 | 38.4 |
44355.9 | 88.1 | 49.0 | 52.9 | 41.5 |
49020.8 | 95.2 | 52.9 | 57.1 | 44.8 |
54176.4 | 103 | 57.1 | 61.7 | 48.4 |
59874.1 | 111 | 61.6 | 66.5 | 52.2 |
66171.2 | 119 | 66.4 | 71.6 | 56.2 |
73130.4 | 129 | 71.4 | 77.0 | 60.4 |
80821.6 | 138 | 76.7 | 82.7 | 64.9 |
89321.7 | 148 | 82.3 | 88.7 | 69.6 |
98715.8 | 159 | 88.1 | 95.0 | 74.6 |
109097.8 | 170 | 94.3 | 102 | 79.7 |
120571.7 | 181 | 101 | 108 | 85.1 |
133252.4 | 193 | 107 | 116 | 90.7 |
147266.6 | 206 | 114 | 123 | 96.5 |
162754.8 | 218 | 121 | 130 | 102 |
179871.9 | 231 | 128 | 138 | 108 |
198789.2 | 245 | 135 | 146 | 115 |
219696.0 | 258 | 143 | 154 | 121 |
242801.6 | 271 | 150 | 162 | 127 |
268337.3 | 285 | 158 | 170 | 133 |
296558.6 | 298 | 165 | 178 | 139 |
327747.9 | 311 | 172 | 185 | 145 |
362217.4 | 324 | 179 | 193 | 151 |
400312.2 | 336 | 186 | 200 | 157 |
432945.1 | 345 | 191 | 206 | 162 |
Note that, if desired, the scattering cross sections (σ) can be computed from the IMFP values (λ) using the formula λ–1 = Nσ and the following values of N: (3.34,6.12,2.45,2.34) × 1022/cm3 for liquid H2O, LiF, CaF2, and Al2O3 respectively.