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G4hZiegler1977He.cc
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27 // -------------------------------------------------------------------
28 //
29 // GEANT4 Class file
30 //
31 //
32 // File name: G4hZiegler1977He
33 //
34 // Author: V.Ivanchenko (Vladimir.Ivanchenko@cern.ch)
35 //
36 // Creation date: 20 July 2000
37 //
38 // Modifications:
39 // 20/07/2000 V.Ivanchenko First implementation
40 // 10/05/2001 V.Ivanchenko Clean up againist Linux compilation with -Wall
41 // 26/08/2004 V.Ivanchenko Fix a problem of effective charge
42 //
43 // Class Description:
44 //
45 // Electronic stopping power parametrised according to
46 // J.F.Ziegler, Helium Stopping Powers and
47 // Ranges in All Elemental Matter, Vol.4, Pergamon Press, 1977
48 //
49 // Class Description: End
50 //
51 // -------------------------------------------------------------------
52 //
53 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
54 
55 #include "G4hZiegler1977He.hh"
56 
57 #include "globals.hh"
58 #include "G4SystemOfUnits.hh"
59 #include "G4UnitsTable.hh"
60 #include "G4Material.hh"
61 
62 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
63 
65  rateMass(4.0026/1.007276)
66 {;}
67 
68 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
69 
71 {;}
72 
73 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
74 
76 {
77  if(1 == (material->GetNumberOfElements())) return true;
78  return false ;
79 }
80 
81 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
82 
84  G4double kineticEnergy)
85 {
86  G4double ionloss = 0.0 ;
87 
88  // pure material (normally not the case for this function)
89  if(1 == (material->GetNumberOfElements())) {
90  G4double z = material->GetZ() ;
91  ionloss = ElectronicStoppingPower( z, kineticEnergy ) ;
92 
93  }
94 
95  return ionloss ;
96 }
97 
98 //....oooOO0OOooo........oooOO0OOooo........oooOO0OOooo........oooOO0OOooo....
99 
101  G4double kineticEnergy) const
102 {
103  G4double ionloss ;
104  G4int i = G4int(z)-1 ; // index of atom
105  if(i < 0) i = 0 ;
106  if(i > 91) i = 91 ;
107 
108  // The He4 data and the fit from:
109  // J.F.Ziegler, Helium Stopping Powers and
110  // Ranges in All Elemental Matter, Vol.4, Pergamon Press, 1977
111 
112  G4double energy = kineticEnergy*rateMass/keV ; // reduced He energy in keV
113 
114  static G4double a[92][9] = {
115  //H-Solid 0.9661,0.4126,6.92,8.831,2.582,2.371,0.5462,-0.07932,-0.006853,
116  {0.39,0.63, 4.17, 85.55, 19.55, 2.371, 0.5462, -0.07932,-0.006853},
117  //He-Solid 2.027,0.2931,26.34,6.66,0.3409,2.809,0.4847,-0.08756,-0.007281,
118  {0.58, 0.59, 6.3, 130.0, 44.07, 2.809, 0.4847, -0.08756,-0.007281},
119  {1.42, 0.49, 12.25,32., 9.161, 3.095, 0.4434, -0.09259,-0.007459},
120  {2.206, 0.51, 15.32, 0.25, 8.995, 3.28, 0.4188, -0.09564,-0.007604},
121  {3.691, 0.4128, 18.48,50.72, 9., 3.426, 0.4, -0.09796,-0.007715},
122  {4.232, 0.3877, 22.99,35., 7.993, 3.588, 0.3921, -0.09935,-0.007804},
123  //N-solid 2.51,0.4752,38.26,13.02,1.892,3.759,0.4094,-0.09646,-0.007661,
124  {2.0, 0.548, 29.82,18.11, 4.37, 3.759, 0.4094, -0.09646,-0.007661},
125  //O-solid 1.766,0.5261,37.11,15.24,2.804,3.782,0.3734,-0.1011,-0.007874,
126  {2.717, 0.4858, 32.88, 25.88, 4.336, 3.782, 0.3734, -0.1011, -0.007874},
127  {1.533, 0.531, 40.44,18.41, 2.718, 3.816, 0.3504, -0.1046, -0.008074},
128  //Ne-solid 1.183,0.55,39.83,17.49,4.001,3.863,0.3342,-0.1072,-0.008231,
129  {2.303, 0.4861, 37.01, 37.96, 5.092, 3.863, 0.3342,-0.1072, -0.008231},
130  {9.894, 0.3081, 23.65, 0.384, 92.93, 3.898, 0.3191, -0.1086, -0.008271},
131  {4.3, 0.47, 34.3, 3.3, 12.74, 3.961, 0.314, -0.1091, -0.008297},
132  {2.5, 0.625, 45.7, 0.1, 4.359, 4.024, 0.3113, -0.1093, -0.008306},
133  {2.1, 0.65, 49.34, 1.788, 4.133, 4.077, 0.3074, -0.1089, -0.008219},
134  {1.729, 0.6562, 53.41, 2.405, 3.845, 4.124, 0.3023, -0.1094, -0.00824},
135  {1.402, 0.6791, 58.98, 3.528, 3.211, 4.164, 0.2964, -0.1101, -0.008267},
136  {1.117, 0.7044, 69.69, 3.705, 2.156, 4.21, 0.2936, -0.1103, -0.00827},
137  {0.9172,0.724, 79.44, 3.648, 1.646, 4.261, 0.2994, -0.1085, -0.008145},
138  {8.554, 0.3817, 83.61,11.84, 1.875, 4.3, 0.2903, -0.1103, -0.008259},
139  {6.297, 0.4622, 65.39,10.14, 5.036, 4.334, 0.2897, -0.1102, -0.008245},
140  {5.307, 0.4918, 61.74,12.4, 6.665, 4.327, 0.2707, -0.1127, -0.00837},
141  {4.71, 0.5087, 65.28, 8.806, 5.948, 4.34, 0.2618, -0.1138, -0.00842},
142  {6.151, 0.4524, 83., 18.31, 2.71, 4.361, 0.2559, -0.1145, -0.008447},
143  {6.57, 0.4322, 84.76,15.53, 2.779, 4.349, 0.24, -0.1166, -0.00855},
144  {5.738, 0.4492, 84.61,14.18, 3.101, 4.362, 0.2327, -0.1174, -0.008588},
145  {5.013, 0.4707, 85.58,16.55, 3.211, 4.375, 0.2253, -0.1185, -0.008648},
146  {4.32, 0.4947, 76.14,10.85, 5.441, 4.362, 0.2069, -0.1214, -0.008815},
147  {4.652, 0.4571, 80.73,22., 4.952, 4.346, 0.1857, -0.1249, -0.009021},
148  {3.114, 0.5236, 76.67, 7.62, 6.385, 4.355, 0.18, -0.1255, -0.009045},
149  {3.114, 0.5236, 76.67, 7.62, 7.502, 4.389, 0.1806, -0.1253, -0.009028},
150  {3.114, 0.5236, 76.67, 7.62, 8.514, 4.407, 0.1759, -0.1258, -0.009054},
151  {5.746, 0.4662, 79.24, 1.185, 7.993, 4.419, 0.1694, -0.1267, -0.009094},
152  {2.792, 0.6346,106.1, 0.2986, 2.331, 4.412, 0.1545, -0.1289, -0.009202},
153  {4.667, 0.5095,124.3, 2.102, 1.667, 4.419, 0.1448, -0.1303, -0.009269},
154  {2.44, 0.6346,105., 0.83, 2.851, 4.436, 0.1443, -0.1299, -0.009229},
155  {1.491, 0.7118,120.6, 1.101, 1.877, 4.478, 0.1608, -0.1262, -0.008983},
156  {11.72, 0.3826,102.8, 9.231, 4.371, 4.489, 0.1517, -0.1278, -0.009078},
157  {7.126, 0.4804,119.3, 5.784, 2.454, 4.514, 0.1551, -0.1268, -0.009005},
158  {11.61, 0.3955,146.7, 7.031, 1.423, 4.533, 0.1568, -0.1261, -0.008945},
159  {10.99, 0.41, 163.9, 7.1, 1.052, 4.548, 0.1572, -0.1256, -0.008901},
160  {9.241, 0.4275,163.1, 7.954, 1.102, 4.553, 0.1544, -0.1255, -0.008883},
161  {9.276, 0.418, 157.1, 8.038, 1.29, 4.548, 0.1485, -0.1259, -0.008889},
162  {3.999, 0.6152, 97.6, 1.297, 5.792, 4.489, 0.1128, -0.1309, -0.009107},
163  {4.306, 0.5658, 97.99, 5.514, 5.754, 4.402, 0.06656, -0.1375, -0.009421},
164  {3.615, 0.6197, 86.26, 0.333, 8.689, 4.292, 0.01012, -0.1459, -0.009835},
165  {5.8, 0.49, 147.2, 6.903, 1.289, 4.187,-0.04539, -0.1542, -0.01025},
166  {5.6, 0.49, 130., 10., 2.844, 4.577, 0.13, -0.1285, -0.009067},
167  {3.55, 0.6068,124.7, 1.112, 3.119, 4.583, 0.1253, -0.1291, -0.009084},
168  {3.6, 0.62, 105.8, 0.1692, 6.026, 4.58, 0.1174, -0.1301, -0.009129},
169  {5.4, 0.53, 103.1, 3.931, 7.767, 4.581, 0.111, -0.1309, -0.009161},
170  {3.97, 0.6459,131.8, 0.2233, 2.723, 4.582, 0.1046, -0.1317, -0.009193},
171  {3.65, 0.64, 126.8, 0.6834, 3.411, 4.6, 0.1052, -0.1315, -0.009178},
172  {3.118, 0.6519,164.9, 1.208, 1.51, 4.614, 0.1043, -0.1315, -0.009175},
173  {2.031, 0.7181,153.1, 1.362, 1.958, 4.619, 0.09769, -0.1325, -0.009231},
174  {14.4, 0.3923,152.5, 8.354, 2.597, 4.671, 0.1136, -0.1298, -0.009078},
175  {10.99, 0.4599,138.4, 4.811, 3.726, 4.706, 0.1206, -0.1287, -0.009009},
176  {16.6, 0.3773,224.1, 6.28, 0.9121,4.732, 0.1244, -0.128, -0.008968},
177  {10.54, 0.4533,159.3, 4.832, 2.529, 4.722, 0.1156, -0.1292, -0.00903},
178  {10.33, 0.4502,162., 5.132, 2.444, 4.71, 0.106, -0.1305, -0.0091},
179  {10.15, 0.4471,165.6, 5.378, 2.328, 4.698, 0.09647, -0.1319, -0.009169},
180  {9.976, 0.4439,168., 5.721, 2.258, 4.681, 0.08536, -0.1335, -0.009252},
181  {9.804, 0.4408,176.2, 5.675, 1.997, 4.676, 0.07819, -0.1345, -0.009302},
182  {14.22, 0.363, 228.4, 7.024, 1.016, 4.663, 0.06867, -0.1358, -0.009373},
183  {9.952, 0.4318,233.5, 5.065, 0.9244,4.676, 0.06861, -0.1357, -0.009363},
184  {9.272, 0.4345,210., 4.911, 1.258, 4.649, 0.05362, -0.1379, -0.00948},
185  {10.13, 0.4146,225.7, 5.525, 1.055, 4.634, 0.04335, -0.1394, -0.009558},
186  {8.949, 0.4304,213.3, 5.071, 1.221, 4.603, 0.02679, -0.1418, -0.00969},
187  {11.94, 0.3783,247.2, 6.655, 0.849, 4.584, 0.01494, -0.1436, -0.009783},
188  {8.472, 0.4405,195.5, 4.051, 1.604, 4.576, 0.007043, -0.1447, -0.009841},
189  {8.301, 0.4399,203.7, 3.667, 1.459, 4.571, 0.0007046,-0.1456, -0.009886},
190  {6.567, 0.4858,193., 2.65, 1.66, 4.566,-0.005626, -0.1464, -0.00993},
191  {5.951, 0.5016,196.1, 2.662, 1.589, 4.561,-0.01197, -0.1473, -0.009975},
192  {7.495, 0.4523,251.4, 3.433, 0.8619,4.572,-0.012, -0.1472, -0.009965},
193  {6.335, 0.4825,255.1, 2.834, 0.8228,4.569,-0.01755, -0.148, -0.01},
194  {4.314, 0.5558,214.8, 2.354, 1.263, 4.573,-0.01992, -0.1482, -0.01001},
195  {4.02, 0.5681,219.9, 2.402, 1.191, 4.57, -0.02547, -0.149, -0.01005},
196  {3.836, 0.5765,210.2, 2.742, 1.305, 4.528,-0.04613, -0.1521, -0.01022},
197  {4.68, 0.5247,244.7, 2.749, 0.8962,4.494,-0.0637, -0.1548, -0.01037},
198  {3.223, 0.5883,232.7, 2.954, 1.05, 4.564,-0.027, -0.1471, -0.009852},
199  {2.892, 0.6204,208.6, 2.415, 1.416, 4.546,-0.04963, -0.1523, -0.01022},
200  {4.728, 0.5522,217., 3.091, 1.386, 4.594,-0.03339, -0.1496, -0.01006},
201  {6.18, 0.52, 170., 4., 3.224, 4.608,-0.02886, -0.1485, -0.00999},
202  {9., 0.47, 198., 3.8, 2.032, 4.624,-0.02639, -0.1481, -0.009971},
203  {2.324, 0.6997,216., 1.599, 1.399, 4.636,-0.02422, -0.1477, -0.009939},
204  {1.961, 0.7286,223., 1.621, 1.296, 4.648,-0.02172, -0.1471, -0.009903},
205  {1.75, 0.7427,350.1, 0.9789, 0.5507,4.662,-0.1192, -0.1752, -0.01196},
206  {10.31, 0.4613,261.2, 4.738, 0.9899,4.69, -0.009867, -0.1449, -0.009771},
207  {7.962, 0.519, 235.7, 4.347, 1.313, 4.715,-0.002113, -0.1435, -0.009689},
208  {6.227, 0.5645,231.9, 3.961, 1.379, 4.729, 0.001392, -0.1428, -0.009644},
209  {5.246, 0.5947,228.6, 4.027, 1.423, 4.729,-0.0005983,-0.143, -0.009647},
210  {5.408, 0.5811,235.7, 3.961, 1.358, 4.738, 0.001075, -0.1425, -0.009618},
211  {5.218, 0.5828,245., 3.838, 1.25, 4.751, 0.004244, -0.1419, -0.009576}
212  };
213 
214  if ( energy < 1.0 ) {
215  G4double slow = a[i][0] ;
216  G4double shigh = std::log( 1.0 + a[i][3]*1000.0 + a[i][4]*0.001 )
217  * a[i][2]*1000.0 ;
218  ionloss = slow*shigh / (slow + shigh) ;
219  ionloss *= std::sqrt(energy) ;
220 
221  } else if ( energy < 10000.0 ) {
222  G4double slow = a[i][0] * std::pow(energy, a[i][1]) ;
223  G4double e = energy/1000.0 ;
224  G4double shigh = std::log( 1.0 + a[i][3]/e + a[i][4]*e ) * a[i][2]/e ;
225  ionloss = slow*shigh / (slow + shigh) ;
226 
227  } else {
228  G4double le = std::log(1000.0/energy) ;
229  ionloss = std::exp( a[i][5] + a[i][6]*le + a[i][7]*le*le + a[i][8]*le*le*le) ;
230  }
231 
232  if ( ionloss < 0.0) ionloss = 0.0 ;
233 
234  ionloss /= HeEffChargeSquare(z, kineticEnergy*rateMass);
235 
236  return ionloss;
237 }
238