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