| Geant4 Cross Reference |
1 // -*- C++ -*- 1 // -*- C++ -*-
>> 2 // $Id:$
2 // ------------------------------------------- 3 // ----------------------------------------------------------------------
3 // HEP coherent system of Units 4 // HEP coherent system of Units
4 // 5 //
5 // This file has been provided to CLHEP by Gea 6 // This file has been provided to CLHEP by Geant4 (simulation toolkit for HEP).
6 // 7 //
7 // The basic units are : 8 // The basic units are :
8 // millimeter (millimeter) 9 // millimeter (millimeter)
9 // nanosecond (nanosecond) 10 // nanosecond (nanosecond)
10 // Mega electron Volt (MeV) 11 // Mega electron Volt (MeV)
11 // positron charge (eplus) 12 // positron charge (eplus)
12 // degree Kelvin (kelvin) 13 // degree Kelvin (kelvin)
13 // the amount of substance (mole) 14 // the amount of substance (mole)
14 // luminous intensity (candela) 15 // luminous intensity (candela)
15 // radian (radian) 16 // radian (radian)
16 // steradian (steradian) 17 // steradian (steradian)
17 // 18 //
18 // Below is a non exhaustive list of derived a 19 // Below is a non exhaustive list of derived and pratical units
19 // (i.e. mostly the SI units). 20 // (i.e. mostly the SI units).
20 // You can add your own units. 21 // You can add your own units.
21 // 22 //
22 // The SI numerical value of the positron char 23 // The SI numerical value of the positron charge is defined here,
23 // as it is needed for conversion factor : pos 24 // as it is needed for conversion factor : positron charge = e_SI (coulomb)
24 // 25 //
25 // The others physical constants are defined i 26 // The others physical constants are defined in the header file :
26 // PhysicalConstants.h << 27 //PhysicalConstants.h
27 // 28 //
28 // Authors: M.Maire, S.Giani 29 // Authors: M.Maire, S.Giani
29 // 30 //
30 // History: 31 // History:
31 // 32 //
32 // 06.02.96 Created. 33 // 06.02.96 Created.
33 // 28.03.96 Added miscellaneous constants. 34 // 28.03.96 Added miscellaneous constants.
34 // 05.12.97 E.Tcherniaev: Redefined pascal ( 35 // 05.12.97 E.Tcherniaev: Redefined pascal (to avoid warnings on WinNT)
35 // 20.05.98 names: meter, second, gram, radi 36 // 20.05.98 names: meter, second, gram, radian, degree
36 // (from Brian.Lasiuk@yale.edu (STA 37 // (from Brian.Lasiuk@yale.edu (STAR)). Added luminous units.
37 // 05.08.98 angstrom, picobarn, microsecond, 38 // 05.08.98 angstrom, picobarn, microsecond, picosecond, petaelectronvolt
38 // 01.03.01 parsec 39 // 01.03.01 parsec
39 // 31.01.06 kilogray, milligray, microgray 40 // 31.01.06 kilogray, milligray, microgray
40 // 29.04.08 use PDG 2006 value of e_SI 41 // 29.04.08 use PDG 2006 value of e_SI
41 // 03.11.08 use PDG 2008 value of e_SI 42 // 03.11.08 use PDG 2008 value of e_SI
42 // 19.08.15 added liter and its sub units (m 43 // 19.08.15 added liter and its sub units (mma)
43 // 12.01.16 added symbols for microsecond (u <<
44 // 17.07.20 use PDG 2019 value of e_SI <<
45 // 06.05.21 added minute, hour, day, year an <<
46 44
47 #ifndef HEP_SYSTEM_OF_UNITS_H 45 #ifndef HEP_SYSTEM_OF_UNITS_H
48 #define HEP_SYSTEM_OF_UNITS_H 46 #define HEP_SYSTEM_OF_UNITS_H
49 47
50 namespace CLHEP { 48 namespace CLHEP {
51 49
52 // 50 //
53 // 51 //
54 // 52 //
55 static constexpr double pi = 3.14159265 << 53 static const double pi = 3.14159265358979323846;
56 static constexpr double twopi = 2*pi; << 54 static const double twopi = 2*pi;
57 static constexpr double halfpi = pi/2; << 55 static const double halfpi = pi/2;
58 static constexpr double pi2 = pi*pi; << 56 static const double pi2 = pi*pi;
59 57
60 // 58 //
61 // Length [L] 59 // Length [L]
62 // 60 //
63 static constexpr double millimeter = 1.; << 61 static const double millimeter = 1.;
64 static constexpr double millimeter2 = millim << 62 static const double millimeter2 = millimeter*millimeter;
65 static constexpr double millimeter3 = millim << 63 static const double millimeter3 = millimeter*millimeter*millimeter;
66 << 64
67 static constexpr double centimeter = 10.*mi << 65 static const double centimeter = 10.*millimeter;
68 static constexpr double centimeter2 = centim << 66 static const double centimeter2 = centimeter*centimeter;
69 static constexpr double centimeter3 = centim << 67 static const double centimeter3 = centimeter*centimeter*centimeter;
70 68
71 static constexpr double meter = 1000.*milli << 69 static const double meter = 1000.*millimeter;
72 static constexpr double meter2 = meter*meter << 70 static const double meter2 = meter*meter;
73 static constexpr double meter3 = meter*meter << 71 static const double meter3 = meter*meter*meter;
74 << 72
75 static constexpr double kilometer = 1000.*me << 73 static const double kilometer = 1000.*meter;
76 static constexpr double kilometer2 = kilomet << 74 static const double kilometer2 = kilometer*kilometer;
77 static constexpr double kilometer3 = kilomet << 75 static const double kilometer3 = kilometer*kilometer*kilometer;
78 << 76
79 static constexpr double parsec = 3.085677580 << 77 static const double parsec = 3.0856775807e+16*meter;
80 << 78
81 static constexpr double micrometer = 1.e-6 * << 79 static const double micrometer = 1.e-6 *meter;
82 static constexpr double nanometer = 1.e-9 * << 80 static const double nanometer = 1.e-9 *meter;
83 static constexpr double angstrom = 1.e-10* << 81 static const double angstrom = 1.e-10*meter;
84 static constexpr double fermi = 1.e-15* << 82 static const double fermi = 1.e-15*meter;
85 << 83
86 static constexpr double barn = 1.e-28*m << 84 static const double barn = 1.e-28*meter2;
87 static constexpr double millibarn = 1.e-3 *b << 85 static const double millibarn = 1.e-3 *barn;
88 static constexpr double microbarn = 1.e-6 *b << 86 static const double microbarn = 1.e-6 *barn;
89 static constexpr double nanobarn = 1.e-9 *b << 87 static const double nanobarn = 1.e-9 *barn;
90 static constexpr double picobarn = 1.e-12*b << 88 static const double picobarn = 1.e-12*barn;
91 89
92 // symbols 90 // symbols
93 static constexpr double nm = nanometer; << 91 static const double nm = nanometer;
94 static constexpr double um = micrometer; << 92 static const double um = micrometer;
95 93
96 static constexpr double mm = millimeter; << 94 static const double mm = millimeter;
97 static constexpr double mm2 = millimeter2; << 95 static const double mm2 = millimeter2;
98 static constexpr double mm3 = millimeter3; << 96 static const double mm3 = millimeter3;
99 << 97
100 static constexpr double cm = centimeter; << 98 static const double cm = centimeter;
101 static constexpr double cm2 = centimeter2; << 99 static const double cm2 = centimeter2;
102 static constexpr double cm3 = centimeter3; << 100 static const double cm3 = centimeter3;
103 << 101
104 static constexpr double liter = 1.e+3*cm3; << 102 static const double liter = 1.e+3*cm3;
105 static constexpr double L = liter; << 103 static const double L = liter;
106 static constexpr double dL = 1.e-1*liter; << 104 static const double dL = 1.e-1*liter;
107 static constexpr double cL = 1.e-2*liter; << 105 static const double cL = 1.e-2*liter;
108 static constexpr double mL = 1.e-3*liter; << 106 static const double mL = 1.e-3*liter;
109 107
110 static constexpr double m = meter; << 108 static const double m = meter;
111 static constexpr double m2 = meter2; << 109 static const double m2 = meter2;
112 static constexpr double m3 = meter3; << 110 static const double m3 = meter3;
113 << 111
114 static constexpr double km = kilometer; << 112 static const double km = kilometer;
115 static constexpr double km2 = kilometer2; << 113 static const double km2 = kilometer2;
116 static constexpr double km3 = kilometer3; << 114 static const double km3 = kilometer3;
117 115
118 static constexpr double pc = parsec; << 116 static const double pc = parsec;
119 117
120 // 118 //
121 // Angle 119 // Angle
122 // 120 //
123 static constexpr double radian = 1.; << 121 static const double radian = 1.;
124 static constexpr double milliradian = 1.e-3* << 122 static const double milliradian = 1.e-3*radian;
125 static constexpr double degree = (pi/180.0)* << 123 static const double degree = (pi/180.0)*radian;
126 124
127 static constexpr double steradian = 1.; << 125 static const double steradian = 1.;
128 126
129 // symbols 127 // symbols
130 static constexpr double rad = radian; << 128 static const double rad = radian;
131 static constexpr double mrad = milliradian; << 129 static const double mrad = milliradian;
132 static constexpr double sr = steradian; << 130 static const double sr = steradian;
133 static constexpr double deg = degree; << 131 static const double deg = degree;
134 132
135 // 133 //
136 // Time [T] 134 // Time [T]
137 // 135 //
138 static constexpr double nanosecond = 1.; << 136 static const double nanosecond = 1.;
139 static constexpr double second = 1.e+9 << 137 static const double second = 1.e+9 *nanosecond;
140 static constexpr double millisecond = 1.e-3 << 138 static const double millisecond = 1.e-3 *second;
141 static constexpr double microsecond = 1.e-6 << 139 static const double microsecond = 1.e-6 *second;
142 static constexpr double picosecond = 1.e-12 << 140 static const double picosecond = 1.e-12*second;
143 << 141
144 static constexpr double minute = 60*second; << 142 static const double hertz = 1./second;
145 static constexpr double hour = 60*minute; << 143 static const double kilohertz = 1.e+3*hertz;
146 static constexpr double day = 24*hour; << 144 static const double megahertz = 1.e+6*hertz;
147 static constexpr double year = 365*day; <<
148 <<
149 static constexpr double hertz = 1./second; <<
150 static constexpr double kilohertz = 1.e+3*he <<
151 static constexpr double megahertz = 1.e+6*he <<
152 145
153 // symbols 146 // symbols
154 static constexpr double ns = nanosecond; << 147 static const double ns = nanosecond;
155 static constexpr double s = second; << 148 static const double s = second;
156 static constexpr double ms = millisecond; << 149 static const double ms = millisecond;
157 static constexpr double us = microsecond; <<
158 static constexpr double ps = picosecond; <<
159 150
160 // 151 //
161 // Electric charge [Q] 152 // Electric charge [Q]
162 // 153 //
163 static constexpr double eplus = 1. ;// posit << 154 static const double eplus = 1. ;// positron charge
164 static constexpr double e_SI = 1.602176634e << 155 static const double e_SI = 1.602176487e-19;// positron charge in coulomb
165 static constexpr double coulomb = eplus/e_SI << 156 static const double coulomb = eplus/e_SI;// coulomb = 6.24150 e+18 * eplus
166 157
167 // 158 //
168 // Energy [E] 159 // Energy [E]
169 // 160 //
170 static constexpr double megaelectronvolt = 1 << 161 static const double megaelectronvolt = 1. ;
171 static constexpr double electronvolt = 1 << 162 static const double electronvolt = 1.e-6*megaelectronvolt;
172 static constexpr double kiloelectronvolt = 1 << 163 static const double kiloelectronvolt = 1.e-3*megaelectronvolt;
173 static constexpr double gigaelectronvolt = 1 << 164 static const double gigaelectronvolt = 1.e+3*megaelectronvolt;
174 static constexpr double teraelectronvolt = 1 << 165 static const double teraelectronvolt = 1.e+6*megaelectronvolt;
175 static constexpr double petaelectronvolt = 1 << 166 static const double petaelectronvolt = 1.e+9*megaelectronvolt;
176 static constexpr double millielectronvolt = <<
177 167
178 static constexpr double joule = electronvolt << 168 static const double joule = electronvolt/e_SI;// joule = 6.24150 e+12 * MeV
179 169
180 // symbols 170 // symbols
181 static constexpr double MeV = megaelectronvo << 171 static const double MeV = megaelectronvolt;
182 static constexpr double eV = electronvolt; << 172 static const double eV = electronvolt;
183 static constexpr double keV = kiloelectronvo << 173 static const double keV = kiloelectronvolt;
184 static constexpr double GeV = gigaelectronvo << 174 static const double GeV = gigaelectronvolt;
185 static constexpr double TeV = teraelectronvo << 175 static const double TeV = teraelectronvolt;
186 static constexpr double PeV = petaelectronvo << 176 static const double PeV = petaelectronvolt;
187 177
188 // 178 //
189 // Mass [E][T^2][L^-2] 179 // Mass [E][T^2][L^-2]
190 // 180 //
191 static constexpr double kilogram = joule*se << 181 static const double kilogram = joule*second*second/(meter*meter);
192 static constexpr double gram = 1.e-3*ki << 182 static const double gram = 1.e-3*kilogram;
193 static constexpr double milligram = 1.e-3*gr << 183 static const double milligram = 1.e-3*gram;
194 184
195 // symbols 185 // symbols
196 static constexpr double kg = kilogram; << 186 static const double kg = kilogram;
197 static constexpr double g = gram; << 187 static const double g = gram;
198 static constexpr double mg = milligram; << 188 static const double mg = milligram;
199 189
200 // 190 //
201 // Power [E][T^-1] 191 // Power [E][T^-1]
202 // 192 //
203 static constexpr double watt = joule/second; << 193 static const double watt = joule/second;// watt = 6.24150 e+3 * MeV/ns
204 194
205 // 195 //
206 // Force [E][L^-1] 196 // Force [E][L^-1]
207 // 197 //
208 static constexpr double newton = joule/meter << 198 static const double newton = joule/meter;// newton = 6.24150 e+9 * MeV/mm
209 199
210 // 200 //
211 // Pressure [E][L^-3] 201 // Pressure [E][L^-3]
212 // 202 //
213 #define pascal hep_pascal 203 #define pascal hep_pascal // a trick to avoid warnings
214 static constexpr double hep_pascal = newton/ << 204 static const double hep_pascal = newton/m2; // pascal = 6.24150 e+3 * MeV/mm3
215 static constexpr double bar = 100000* << 205 static const double bar = 100000*pascal; // bar = 6.24150 e+8 * MeV/mm3
216 static constexpr double atmosphere = 101325* << 206 static const double atmosphere = 101325*pascal; // atm = 6.32420 e+8 * MeV/mm3
217 207
218 // 208 //
219 // Electric current [Q][T^-1] 209 // Electric current [Q][T^-1]
220 // 210 //
221 static constexpr double ampere = coulom << 211 static const double ampere = coulomb/second; // ampere = 6.24150 e+9 * eplus/ns
222 static constexpr double milliampere = 1.e-3* << 212 static const double milliampere = 1.e-3*ampere;
223 static constexpr double microampere = 1.e-6* << 213 static const double microampere = 1.e-6*ampere;
224 static constexpr double nanoampere = 1.e-9* << 214 static const double nanoampere = 1.e-9*ampere;
225 215
226 // 216 //
227 // Electric potential [E][Q^-1] 217 // Electric potential [E][Q^-1]
228 // 218 //
229 static constexpr double megavolt = megaelect << 219 static const double megavolt = megaelectronvolt/eplus;
230 static constexpr double kilovolt = 1.e-3*meg << 220 static const double kilovolt = 1.e-3*megavolt;
231 static constexpr double volt = 1.e-6*meg << 221 static const double volt = 1.e-6*megavolt;
232 222
233 // 223 //
234 // Electric resistance [E][T][Q^-2] 224 // Electric resistance [E][T][Q^-2]
235 // 225 //
236 static constexpr double ohm = volt/ampere;// << 226 static const double ohm = volt/ampere;// ohm = 1.60217e-16*(MeV/eplus)/(eplus/ns)
237 227
238 // 228 //
239 // Electric capacitance [Q^2][E^-1] 229 // Electric capacitance [Q^2][E^-1]
240 // 230 //
241 static constexpr double farad = coulomb/volt << 231 static const double farad = coulomb/volt;// farad = 6.24150e+24 * eplus/Megavolt
242 static constexpr double millifarad = 1.e-3*f << 232 static const double millifarad = 1.e-3*farad;
243 static constexpr double microfarad = 1.e-6*f << 233 static const double microfarad = 1.e-6*farad;
244 static constexpr double nanofarad = 1.e-9*f << 234 static const double nanofarad = 1.e-9*farad;
245 static constexpr double picofarad = 1.e-12* << 235 static const double picofarad = 1.e-12*farad;
246 236
247 // 237 //
248 // Magnetic Flux [T][E][Q^-1] 238 // Magnetic Flux [T][E][Q^-1]
249 // 239 //
250 static constexpr double weber = volt*second; << 240 static const double weber = volt*second;// weber = 1000*megavolt*ns
251 241
252 // 242 //
253 // Magnetic Field [T][E][Q^-1][L^-2] 243 // Magnetic Field [T][E][Q^-1][L^-2]
254 // 244 //
255 static constexpr double tesla = volt*sec << 245 static const double tesla = volt*second/meter2;// tesla =0.001*megavolt*ns/mm2
256 246
257 static constexpr double gauss = 1.e-4*te << 247 static const double gauss = 1.e-4*tesla;
258 static constexpr double kilogauss = 1.e-1*te << 248 static const double kilogauss = 1.e-1*tesla;
259 249
260 // 250 //
261 // Inductance [T^2][E][Q^-2] 251 // Inductance [T^2][E][Q^-2]
262 // 252 //
263 static constexpr double henry = weber/ampere << 253 static const double henry = weber/ampere;// henry = 1.60217e-7*MeV*(ns/eplus)**2
264 254
265 // 255 //
266 // Temperature 256 // Temperature
267 // 257 //
268 static constexpr double kelvin = 1.; << 258 static const double kelvin = 1.;
269 259
270 // 260 //
271 // Amount of substance 261 // Amount of substance
272 // 262 //
273 static constexpr double mole = 1.; << 263 static const double mole = 1.;
274 264
275 // 265 //
276 // Activity [T^-1] 266 // Activity [T^-1]
277 // 267 //
278 static constexpr double becquerel = 1./secon << 268 static const double becquerel = 1./second ;
279 static constexpr double curie = 3.7e+10 * be << 269 static const double curie = 3.7e+10 * becquerel;
280 static constexpr double kilobecquerel = 1.e+ << 270 static const double kilobecquerel = 1.e+3*becquerel;
281 static constexpr double megabecquerel = 1.e+ << 271 static const double megabecquerel = 1.e+6*becquerel;
282 static constexpr double gigabecquerel = 1.e+ << 272 static const double gigabecquerel = 1.e+9*becquerel;
283 static constexpr double millicurie = 1.e-3*c << 273 static const double millicurie = 1.e-3*curie;
284 static constexpr double microcurie = 1.e-6*c << 274 static const double microcurie = 1.e-6*curie;
285 static constexpr double Bq = becquerel; << 275 static const double Bq = becquerel;
286 static constexpr double kBq = kilobecquerel; << 276 static const double kBq = kilobecquerel;
287 static constexpr double MBq = megabecquerel; << 277 static const double MBq = megabecquerel;
288 static constexpr double GBq = gigabecquerel; << 278 static const double GBq = gigabecquerel;
289 static constexpr double Ci = curie; << 279 static const double Ci = curie;
290 static constexpr double mCi = millicurie; << 280 static const double mCi = millicurie;
291 static constexpr double uCi = microcurie; << 281 static const double uCi = microcurie;
292 282
293 // 283 //
294 // Absorbed dose [L^2][T^-2] 284 // Absorbed dose [L^2][T^-2]
295 // 285 //
296 static constexpr double gray = joule/ki << 286 static const double gray = joule/kilogram ;
297 static constexpr double kilogray = 1.e+3*gr << 287 static const double kilogray = 1.e+3*gray;
298 static constexpr double milligray = 1.e-3*gr << 288 static const double milligray = 1.e-3*gray;
299 static constexpr double microgray = 1.e-6*gr << 289 static const double microgray = 1.e-6*gray;
300 290
301 // 291 //
302 // Luminous intensity [I] 292 // Luminous intensity [I]
303 // 293 //
304 static constexpr double candela = 1.; << 294 static const double candela = 1.;
305 295
306 // 296 //
307 // Luminous flux [I] 297 // Luminous flux [I]
308 // 298 //
309 static constexpr double lumen = candela*ster << 299 static const double lumen = candela*steradian;
310 300
311 // 301 //
312 // Illuminance [I][L^-2] 302 // Illuminance [I][L^-2]
313 // 303 //
314 static constexpr double lux = lumen/meter2; << 304 static const double lux = lumen/meter2;
315 305
316 // 306 //
317 // Miscellaneous 307 // Miscellaneous
318 // 308 //
319 static constexpr double perCent = 0.01 ; << 309 static const double perCent = 0.01 ;
320 static constexpr double perThousand = 0.001; << 310 static const double perThousand = 0.001;
321 static constexpr double perMillion = 0.0000 << 311 static const double perMillion = 0.000001;
322 312
323 } // namespace CLHEP 313 } // namespace CLHEP
324 314
325 #endif /* HEP_SYSTEM_OF_UNITS_H */ 315 #endif /* HEP_SYSTEM_OF_UNITS_H */
326 316