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constants.h
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1 /*
2  -------------------------------------------------------------------
3 
4  Copyright (C) 2006-2014, Andrew W. Steiner
5 
6  This file is part of O2scl.
7 
8  O2scl is free software; you can redistribute it and/or modify
9  it under the terms of the GNU General Public License as published by
10  the Free Software Foundation; either version 3 of the License, or
11  (at your option) any later version.
12 
13  O2scl is distributed in the hope that it will be useful,
14  but WITHOUT ANY WARRANTY; without even the implied warranty of
15  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
16  GNU General Public License for more details.
17 
18  You should have received a copy of the GNU General Public License
19  along with O2scl. If not, see <http://www.gnu.org/licenses/>.
20 
21  -------------------------------------------------------------------
22 */
23 /** \file constants.h
24  \brief File defining numerical constants
25 */
26 #ifndef O2SCL_CONSTANTS_H
27 #define O2SCL_CONSTANTS_H
28 
29 #include <cmath>
30 
31 /** \brief Constants
32 
33  CODATA 2010 values are in \ref Mohr12.
34 */
35 namespace o2scl_const {
36 
37  const double yotta=1e24;
38  const double zetta=1e21;
39  const double exa=1e18;
40  const double peta=1e15;
41  const double tera=1e12;
42  const double giga=1e9;
43  const double mega=1e6;
44  const double kilo=1e3;
45  const double milli=1e-3;
46  const double micro=1e-6;
47  const double nano=1e-9;
48  const double pico=1e-12;
49  const double femto=1e-15;
50  const double atto=1e-18;
51  const double zepto=1e-21;
52  const double yocto=1e-24;
53 
54  /** \brief Fine structure constant (CODATA 2010 value)
55  */
56  const double fine_structure=7.2973525698e-3;
57  /** \brief Avogadro's number (CODATA 2010 value)
58  */
59  const double avogadro=6.02214129e23;
60 
61  /// \f$ \pi \f$
62  const double pi=acos(-1.0);
63  /// \f$ \pi^2 \f$
64  const double pi2=pi*pi;
65  /// \f$ \zeta(3/2) \f$
66  const double zeta32=2.6123753486854883433;
67  /// \f$ \zeta(2) \f$
68  const double zeta2=1.6449340668482264365;
69  /// \f$ \zeta(5/2) \f$
70  const double zeta52=1.3414872572509171798;
71  /// \f$ \zeta(3) \f$
72  const double zeta3=1.2020569031595942854;
73  /// \f$ \zeta(5) \f$
74  const double zeta5=1.0369277551433699263;
75  /// \f$ \zeta(7) \f$
76  const double zeta7=1.0083492773819228268;
77 
78  /// \f$ \sin^2 \theta_W \f$ (CODATA 2010 value)
79  const double sin2_theta_weak=0.2224;
80 }
81 
82 /** \brief Constants in CGS units
83 
84  CODATA 2010 values are in \ref Mohr12. IAU 2009 values
85  are from \ref Luzum11 . Solar mass from
86  http://asa.usno.navy.mil/SecK/2013/Astronomical_Constants_2013.pdf
87 */
88 namespace o2scl_cgs {
89  /// cm
90  const double schwarzchild_radius=2.95325008e5;
91  /// cm / s
92  const double speed_of_light=2.99792458e10;
93  /// Newtonian constant of gravitation in cm^3 / g s^2 (CODATA 2010 value)
94  const double gravitational_constant=6.67384e-8;
95  /// Planck constant in g cm^2 / s (CODATA 2010 value)
96  const double plancks_constant_h=6.62606957e-27;
97  /// Planck constant divided by 2 pi in g cm^2 / s (derived)
99  2.0/o2scl_const::pi;
100  /// Astronomical unit in cm (IAU 2009 value)
101  const double astronomical_unit=1.49597870700e13;
102  /// cm
103  const double light_year=9.46053620707e17;
104  /// cm
105  const double parsec=3.08567758135e18;
106  /// cm / s^2
107  const double grav_accel=9.80665e2;
108  /// Electron volt in g cm^2 / s^2 (CODATA 2010 value)
109  const double electron_volt=1.602176565e-12;
110  /// Electron mass in g (CODATA 2010 value)
111  const double mass_electron=9.10938291e-28;
112  /// Muon mass in g (CODATA 2010 value)
113  const double mass_muon=1.883531475e-25;
114  /// Proton mass in g (CODATA 2010 value)
115  const double mass_proton=1.672621777e-24;
116  /// Neutron mass in g (CODATA 2010 value)
117  const double mass_neutron=1.674927351e-24;
118 
119  /// Deuteron mass in kg (CODATA 2010 value)
120  const double mass_deuteron=3.34358348e-24;
121  /// Triton mass in kg (CODATA 2010 value)
122  const double mass_triton=5.00735630e-24;
123  /// Helion mass in kg (CODATA 2010 value)
124  const double mass_helion=5.00641234e-24;
125  /// Alpha particle mass in kg (CODATA 2010 value)
126  const double mass_alpha=6.64465675e-24;
127 
128  /// Rydberg constant in g cm^2 / s^2 (CODATA 2010 value)
129  const double rydberg=2.179872171e-11;
130  /// Boltzmann constant in g cm^2 / K s^2 (CODATA 2010 value)
131  const double boltzmann=1.3806488e-16;
132  /// g cm^2 / K mol s^2
133  const double molar_gas=8.314472e7;
134  /// cm^3 / mol
135  const double standard_gas_volume=2.2710981e4;
136  /// s
137  const double minute=6e1;
138  /// s
139  const double hour=3.6e3;
140  /// s
141  const double day=8.64e4;
142  /// s
143  const double week=6.048e5;
144  /// cm
145  const double inch=2.54e0;
146  /// cm
147  const double foot=3.048e1;
148  /// cm
149  const double yard=9.144e1;
150  /// cm
151  const double mile=1.609344e5;
152  /// cm
153  const double nautical_mile=1.852e5;
154  /// cm
155  const double fathom=1.8288e2;
156  /// cm
157  const double mil=2.54e-3;
158  /// cm
159  const double point=3.52777777778e-2;
160  /// cm
161  const double texpoint=3.51459803515e-2;
162  /// cm
163  const double micron=1e-4;
164  /// cm
165  const double angstrom=1e-8;
166  /// cm^2
167  const double hectare=1e8;
168  /// cm^2
169  const double acre=4.04685642241e7;
170  /// cm^2
171  const double barn=1e-24;
172  /// cm^3
173  const double liter=1e3;
174  /// cm^3
175  const double us_gallon=3.78541178402e3;
176  /// cm^3
177  const double quart=9.46352946004e2;
178  /// cm^3
179  const double pint=4.73176473002e2;
180  /// cm^3
181  const double cup=2.36588236501e2;
182  /// cm^3
183  const double fluid_ounce=2.95735295626e1;
184  /// cm^3
185  const double tablespoon=1.47867647813e1;
186  /// cm^3
187  const double teaspoon=4.92892159375e0;
188  /// cm^3
189  const double canadian_gallon=4.54609e3;
190  /// cm^3
191  const double uk_gallon=4.546092e3;
192  /// cm / s
193  const double miles_per_hour=4.4704e1;
194  /// cm / s
195  const double kilometers_per_hour=2.77777777778e1;
196  /// cm / s
197  const double knot=5.14444444444e1;
198  /// g
199  const double pound_mass=4.5359237e2;
200  /// g
201  const double ounce_mass=2.8349523125e1;
202  /// g
203  const double ton=9.0718474e5;
204  /// g
205  const double metric_ton=1e6;
206  /// g
207  const double uk_ton=1.0160469088e6;
208  /// g
209  const double troy_ounce=3.1103475e1;
210  /// g
211  const double carat=2e-1;
212  /// Atomic mass constant in g (CODATA 2010 value)
213  const double unified_atomic_mass=1.660538921e-24;
214  /// cm g / s^2
215  const double gram_force=9.80665e2;
216  /// cm g / s^2
217  const double pound_force=4.44822161526e5;
218  /// cm g / s^2
219  const double kilopound_force=4.44822161526e8;
220  /// cm g / s^2
221  const double poundal=1.38255e4;
222  /// g cm^2 / s^2
223  const double calorie=4.1868e7;
224  /// g cm^2 / s^2
225  const double btu=1.05505585262e10;
226  /// g cm^2 / s^2
227  const double therm=1.05506e15;
228  /// g cm^2 / s^3
229  const double horsepower=7.457e9;
230  /// g / cm s^2
231  const double bar=1e6;
232  /// g / cm s^2
233  const double std_atmosphere=1.01325e6;
234  /// g / cm s^2
235  const double torr=1.33322368421e3;
236  /// g / cm s^2
237  const double meter_of_mercury=1.33322368421e6;
238  /// g / cm s^2
239  const double inch_of_mercury=3.38638815789e4;
240  /// g / cm s^2
241  const double inch_of_water=2.490889e3;
242  /// g / cm s^2
243  const double psi=6.89475729317e4;
244  /// g / cm s
245  const double poise=1e0;
246  /// cm^2 / s
247  const double stokes=1e0;
248  /// cd / cm^2
249  const double stilb=1e0;
250  /// cd sr
251  const double lumen=1e0;
252  /// cd sr / cm^2
253  const double lux=1e-4;
254  /// cd sr / cm^2
255  const double phot=1e0;
256  /// cd sr / cm^2
257  const double footcandle=1.076e-3;
258  /// cd sr / cm^2
259  const double lambert=1e0;
260  /// cd sr / cm^2
261  const double footlambert=1.07639104e-3;
262  /// 1 / s
263  const double curie=3.7e10;
264  /// A s / g
265  const double roentgen=2.58e-7;
266  /// cm^2 / s^2
267  const double rad=1e2;
268  /// g
269  const double solar_mass=1.9884e33;
270  /// cm
271  const double bohr_radius=5.291772083e-9;
272  /// cm g / s^2
273  const double newton=1e5;
274  /// cm g / s^2
275  const double dyne=1e0;
276  /// g cm^2 / s^2
277  const double joule=1e7;
278  /// g cm^2 / s^2
279  const double erg=1e0;
280  /// g / K^4 s^3
281  const double stefan_boltzmann_constant=5.67039934436e-5;
282  /// cm^2
283  const double thomson_cross_section=6.65245853542e-25;
284  /** \brief Fermi coupling constant in s^4 / cm^4 g^2,
285  defined as \f$ 1.166364 \times 10^{-5}~\mathrm{GeV}^{-2} \f$
286  (CODATA 2010 value)
287  */
288  const double Gfermi=1.166364e-23/electron_volt/electron_volt;
289 }
290 
291 /** \brief Constants in CGSM units
292 
293  CODATA 2010 values are in \ref Mohr12. IAU 2009 values
294  are from \ref Luzum11 . Solar mass from
295  http://asa.usno.navy.mil/SecK/2013/Astronomical_Constants_2013.pdf
296 */
297 namespace o2scl_cgsm {
298  /// cm
299  const double schwarzchild_radius=2.95325008e5;
300  /// cm / s
301  const double speed_of_light=2.99792458e10;
302  /// Newtonian constant of gravitation in cm^3 / g s^2 (CODATA 2010 value)
303  const double gravitational_constant=6.67384e-8;
304  /// Planck constant in g cm^2 / s (CODATA 2010 value)
305  const double plancks_constant_h=6.62606957e-27;
306  /// Planck constant divided by 2 pi in g cm^2 / s (derived)
308  2.0/o2scl_const::pi;
309  /// Astronomical unit in cm (IAU 2009 value)
310  const double astronomical_unit=1.49597870700e13;
311  /// cm
312  const double light_year=9.46053620707e17;
313  /// cm
314  const double parsec=3.08567758135e18;
315  /// cm / s^2
316  const double grav_accel=9.80665e2;
317  /// Electron volt in g cm^2 / s^2 (CODATA 2010 value)
318  const double electron_volt=1.602176565e-12;
319  /// Electron mass in g (CODATA 2010 value)
320  const double mass_electron=9.10938291e-28;
321  /// Muon mass in g (CODATA 2010 value)
322  const double mass_muon=1.883531475e-25;
323  /// Proton mass in g (CODATA 2010 value)
324  const double mass_proton=1.672621777e-24;
325  /// Neutron mass in g (CODATA 2010 value)
326  const double mass_neutron=1.674927351e-24;
327 
328  /// Deuteron mass in kg (CODATA 2010 value)
329  const double mass_deuteron=3.34358348e-24;
330  /// Triton mass in kg (CODATA 2010 value)
331  const double mass_triton=5.00735630e-24;
332  /// Helion mass in kg (CODATA 2010 value)
333  const double mass_helion=5.00641234e-24;
334  /// Alpha particle mass in kg (CODATA 2010 value)
335  const double mass_alpha=6.64465675e-24;
336 
337  /// Rydberg constant in g cm^2 / s^2 (CODATA 2010 value)
338  const double rydberg=2.179872171e-11;
339  /// Boltzmann constant in g cm^2 / K s^2 (CODATA 2010 value)
340  const double boltzmann=1.3806488e-16;
341  /// abamp cm^2
342  const double electron_magnetic_moment=9.28476362e-21;
343  /// abamp cm^2
344  const double proton_magnetic_moment=1.410606633e-23;
345  /// g cm^2 / K mol s^2
346  const double molar_gas=8.314472e7;
347  /// cm^3 / mol
348  const double standard_gas_volume=2.2710981e4;
349  /// s
350  const double minute=6e1;
351  /// s
352  const double hour=3.6e3;
353  /// s
354  const double day=8.64e4;
355  /// s
356  const double week=6.048e5;
357  /// cm
358  const double inch=2.54e0;
359  /// cm
360  const double foot=3.048e1;
361  /// cm
362  const double yard=9.144e1;
363  /// cm
364  const double mile=1.609344e5;
365  /// cm
366  const double nautical_mile=1.852e5;
367  /// cm
368  const double fathom=1.8288e2;
369  /// cm
370  const double mil=2.54e-3;
371  /// cm
372  const double point=3.52777777778e-2;
373  /// cm
374  const double texpoint=3.51459803515e-2;
375  /// cm
376  const double micron=1e-4;
377  /// cm
378  const double angstrom=1e-8;
379  /// cm^2
380  const double hectare=1e8;
381  /// cm^2
382  const double acre=4.04685642241e7;
383  /// cm^2
384  const double barn=1e-24;
385  /// cm^3
386  const double liter=1e3;
387  /// cm^3
388  const double us_gallon=3.78541178402e3;
389  /// cm^3
390  const double quart=9.46352946004e2;
391  /// cm^3
392  const double pint=4.73176473002e2;
393  /// cm^3
394  const double cup=2.36588236501e2;
395  /// cm^3
396  const double fluid_ounce=2.95735295626e1;
397  /// cm^3
398  const double tablespoon=1.47867647813e1;
399  /// cm^3
400  const double teaspoon=4.92892159375e0;
401  /// cm^3
402  const double canadian_gallon=4.54609e3;
403  /// cm^3
404  const double uk_gallon=4.546092e3;
405  /// cm / s
406  const double miles_per_hour=4.4704e1;
407  /// cm / s
408  const double kilometers_per_hour=2.77777777778e1;
409  /// cm / s
410  const double knot=5.14444444444e1;
411  /// g
412  const double pound_mass=4.5359237e2;
413  /// g
414  const double ounce_mass=2.8349523125e1;
415  /// g
416  const double ton=9.0718474e5;
417  /// g
418  const double metric_ton=1e6;
419  /// g
420  const double uk_ton=1.0160469088e6;
421  /// g
422  const double troy_ounce=3.1103475e1;
423  /// g
424  const double carat=2e-1;
425  /// Atomic mass constant in g (CODATA 2010 value)
426  const double unified_atomic_mass=1.660538921e-24;
427  /// cm g / s^2
428  const double gram_force=9.80665e2;
429  /// cm g / s^2
430  const double pound_force=4.44822161526e5;
431  /// cm g / s^2
432  const double kilopound_force=4.44822161526e8;
433  /// cm g / s^2
434  const double poundal=1.38255e4;
435  /// g cm^2 / s^2
436  const double calorie=4.1868e7;
437  /// g cm^2 / s^2
438  const double btu=1.05505585262e10;
439  /// g cm^2 / s^2
440  const double therm=1.05506e15;
441  /// g cm^2 / s^3
442  const double horsepower=7.457e9;
443  /// g / cm s^2
444  const double bar=1e6;
445  /// g / cm s^2
446  const double std_atmosphere=1.01325e6;
447  /// g / cm s^2
448  const double torr=1.33322368421e3;
449  /// g / cm s^2
450  const double meter_of_mercury=1.33322368421e6;
451  /// g / cm s^2
452  const double inch_of_mercury=3.38638815789e4;
453  /// g / cm s^2
454  const double inch_of_water=2.490889e3;
455  /// g / cm s^2
456  const double psi=6.89475729317e4;
457  /// g / cm s
458  const double poise=1e0;
459  /// cm^2 / s
460  const double stokes=1e0;
461  /// abamp s / mol
462  const double faraday=9.64853429775e3;
463  /// abamp s
464  const double electron_charge=1.602176565e-20;
465  /// cd / cm^2
466  const double stilb=1e0;
467  /// cd sr
468  const double lumen=1e0;
469  /// cd sr / cm^2
470  const double lux=1e-4;
471  /// cd sr / cm^2
472  const double phot=1e0;
473  /// cd sr / cm^2
474  const double footcandle=1.076e-3;
475  /// cd sr / cm^2
476  const double lambert=1e0;
477  /// cd sr / cm^2
478  const double footlambert=1.07639104e-3;
479  /// 1 / s
480  const double curie=3.7e10;
481  /// abamp s / g
482  const double roentgen=2.58e-8;
483  /// cm^2 / s^2
484  const double rad=1e2;
485  /// g
486  const double solar_mass=1.9884e33;
487  /// cm
488  const double bohr_radius=5.291772083e-9;
489  /// cm g / s^2
490  const double newton=1e5;
491  /// cm g / s^2
492  const double dyne=1e0;
493  /// g cm^2 / s^2
494  const double joule=1e7;
495  /// g cm^2 / s^2
496  const double erg=1e0;
497  /// g / K^4 s^3
498  const double stefan_boltzmann_constant=5.67039934436e-5;
499  /// cm^2
500  const double thomson_cross_section=6.65245853542e-25;
501  /// Bohr magneton in abamp cm^2 (CODATA 2010 value)
502  const double bohr_magneton=9.27400968e-21;
503  /// abamp cm^2
504  const double nuclear_magneton=5.05078317e-24;
505  /** \brief Fermi coupling constant in s^4 / cm^4 g^2,
506  defined as \f$ 1.166364 \times 10^{-5}~\mathrm{GeV}^{-2} \f$
507  (CODATA 2010 value)
508  */
509  const double Gfermi=1.166364e-23/electron_volt/electron_volt;
510 }
511 
512 /** \brief Constants in MKS units
513 
514  CODATA 2010 values are in \ref Mohr12. IAU 2009 values
515  are from \ref Luzum11 . Solar mass from
516  http://asa.usno.navy.mil/SecK/2013/Astronomical_Constants_2013.pdf
517 */
518 namespace o2scl_mks {
519  /// m
520  const double schwarzchild_radius=2.95325008e3;
521  /// m / s
522  const double speed_of_light=2.99792458e8;
523  /// Newtonian constant of gravitation in m^3 / kg s^2 (CODATA 2010 value)
524  const double gravitational_constant=6.67384e-11;
525  /// Planck constant in kg m^2 / s (CODATA 2010 value)
526  const double plancks_constant_h=6.62606957e-34;
527  /// Planck constant divided by 2 pi in kg m^2 / s (CODATA 2010 value)
529  2.0/o2scl_const::pi;
530  /// Astronomical unit in m (IAU 2009 value)
531  const double astronomical_unit=1.49597870700e11;
532  /// m
533  const double light_year=9.46053620707e15;
534  /// m
535  const double parsec=3.08567758135e16;
536  /// m / s^2
537  const double grav_accel=9.80665e0;
538  /// Electron volt in kg m^2 / s^2 (CODATA 2010 value)
539  const double electron_volt=1.602176565e-19;
540  /// Electron mass in kg (CODATA 2010 value)
541  const double mass_electron=9.10938291e-31;
542  /// Muon mass in kg (CODATA 2010 value)
543  const double mass_muon=1.883531475e-28;
544  /// Proton mass in kg (CODATA 2010 value)
545  const double mass_proton=1.672621777e-27;
546  /// Neutron mass in kg (CODATA 2010 value)
547  const double mass_neutron=1.674927351e-27;
548 
549  /// Deuteron mass in kg (CODATA 2010 value)
550  const double mass_deuteron=3.34358348e-27;
551  /// Triton mass in kg (CODATA 2010 value)
552  const double mass_triton=5.00735630e-27;
553  /// Helion mass in kg (CODATA 2010 value)
554  const double mass_helion=5.00641234e-27;
555  /// Alpha particle mass in kg (CODATA 2010 value)
556  const double mass_alpha=6.64465675e-27;
557 
558  /// Rydberg constant in kg m^2 / s^2 (CODATA 2010 value)
559  const double rydberg=2.179872171e-18;
560  /// Boltzmann constant in kg m^2 / K s^2 (CODATA 2010 value)
561  const double boltzmann=1.3806488e-23;
562  /// Bohr magneton in A m^2 (CODATA 2010 value)
563  const double bohr_magneton=9.27400968e-24;
564  /// A m^2
565  const double nuclear_magneton=5.05078317e-27;
566  /// A m^2
567  const double electron_magnetic_moment=9.28476362e-24;
568  /// A m^2
569  const double proton_magnetic_moment=1.410606633e-26;
570  /// kg m^2 / K mol s^2
571  const double molar_gas=8.314472e0;
572  /// m^3 / mol
573  const double standard_gas_volume=2.2710981e-2;
574  /// s
575  const double minute=6e1;
576  /// s
577  const double hour=3.6e3;
578  /// s
579  const double day=8.64e4;
580  /// s
581  const double week=6.048e5;
582  /// m
583  const double inch=2.54e-2;
584  /// m
585  const double foot=3.048e-1;
586  /// m
587  const double yard=9.144e-1;
588  /// m
589  const double mile=1.609344e3;
590  /// m
591  const double nautical_mile=1.852e3;
592  /// m
593  const double fathom=1.8288e0;
594  /// m
595  const double mil=2.54e-5;
596  /// m
597  const double point=3.52777777778e-4;
598  /// m
599  const double texpoint=3.51459803515e-4;
600  /// m
601  const double micron=1e-6;
602  /// m
603  const double angstrom=1e-10;
604  /// m^2
605  const double hectare=1e4;
606  /// m^2
607  const double acre=4.04685642241e3;
608  /// m^2
609  const double barn=1e-28;
610  /// m^3
611  const double liter=1e-3;
612  /// m^3
613  const double us_gallon=3.78541178402e-3;
614  /// m^3
615  const double quart=9.46352946004e-4;
616  /// m^3
617  const double pint=4.73176473002e-4;
618  /// m^3
619  const double cup=2.36588236501e-4;
620  /// m^3
621  const double fluid_ounce=2.95735295626e-5;
622  /// m^3
623  const double tablespoon=1.47867647813e-5;
624  /// m^3
625  const double teaspoon=4.92892159375e-6;
626  /// m^3
627  const double canadian_gallon=4.54609e-3;
628  /// m^3
629  const double uk_gallon=4.546092e-3;
630  /// m / s
631  const double miles_per_hour=4.4704e-1;
632  /// m / s
633  const double kilometers_per_hour=2.77777777778e-1;
634  /// m / s
635  const double knot=5.14444444444e-1;
636  /// kg
637  const double pound_mass=4.5359237e-1;
638  /// kg
639  const double ounce_mass=2.8349523125e-2;
640  /// kg
641  const double ton=9.0718474e2;
642  /// kg
643  const double metric_ton=1e3;
644  /// kg
645  const double uk_ton=1.0160469088e3;
646  /// kg
647  const double troy_ounce=3.1103475e-2;
648  /// kg
649  const double carat=2e-4;
650  /// Atomic mass constant in kg (CODATA 2010 value)
651  const double unified_atomic_mass=1.660538921e-27;
652  /// kg m / s^2
653  const double gram_force=9.80665e-3;
654  /// kg m / s^2
655  const double pound_force=4.44822161526e0;
656  /// kg m / s^2
657  const double kilopound_force=4.44822161526e3;
658  /// kg m / s^2
659  const double poundal=1.38255e-1;
660  /// kg m^2 / s^2
661  const double calorie=4.1868e0;
662  /// kg m^2 / s^2
663  const double btu=1.05505585262e3;
664  /// kg m^2 / s^2
665  const double therm=1.05506e8;
666  /// kg m^2 / s^3
667  const double horsepower=7.457e2;
668  /// kg / m s^2
669  const double bar=1e5;
670  /// kg / m s^2
671  const double std_atmosphere=1.01325e5;
672  /// kg / m s^2
673  const double torr=1.33322368421e2;
674  /// kg / m s^2
675  const double meter_of_mercury=1.33322368421e5;
676  /// kg / m s^2
677  const double inch_of_mercury=3.38638815789e3;
678  /// kg / m s^2
679  const double inch_of_water=2.490889e2;
680  /// kg / m s^2
681  const double psi=6.89475729317e3;
682  /// kg m^-1 s^-1
683  const double poise=1e-1;
684  /// m^2 / s
685  const double stokes=1e-4;
686  /// A s / mol
687  const double faraday=9.64853429775e4;
688  /// A s
689  const double electron_charge=1.602176565e-19;
690  /// kg / A s^2
691  const double gauss=1e-4;
692  /// cd / m^2
693  const double stilb=1e4;
694  /// cd sr
695  const double lumen=1e0;
696  /// cd sr / m^2
697  const double lux=1e0;
698  /// cd sr / m^2
699  const double phot=1e4;
700  /// cd sr / m^2
701  const double footcandle=1.076e1;
702  /// cd sr / m^2
703  const double lambert=1e4;
704  /// cd sr / m^2
705  const double footlambert=1.07639104e1;
706  /// 1 / s
707  const double curie=3.7e10;
708  /// A s / kg
709  const double roentgen=2.58e-4;
710  /// m^2 / s^2
711  const double rad=1e-2;
712  /// kg
713  const double solar_mass=1.9884e30;
714  /// m
715  const double bohr_radius=5.291772083e-11;
716  /// kg m / s^2
717  const double newton=1e0;
718  /// kg m / s^2
719  const double dyne=1e-5;
720  /// kg m^2 / s^2
721  const double joule=1e0;
722  /// kg m^2 / s^2
723  const double erg=1e-7;
724  /// kg / K^4 s^3
725  const double stefan_boltzmann_constant=5.67039934436e-8;
726  /// m^2
727  const double thomson_cross_section=6.65245853542e-29;
728  /// A^2 s^4 / kg m^3
729  const double vacuum_permittivity=8.854187817e-12;
730  /// kg m / A^2 s^2
731  const double vacuum_permeability=1.25663706144e-6;
732  /** \brief Fermi coupling constant in s^4 / cm^4 g^2,
733  defined as \f$ 1.166364 \times 10^{-5}~\mathrm{GeV}^{-2} \f$
734  (CODATA 2010 value)
735  */
736  const double Gfermi=1.166364e-23/electron_volt/electron_volt;
737 }
738 
739 /** \brief Constants in MKSA units
740 
741  CODATA 2010 values are in \ref Mohr12. IAU 2009 values
742  are from \ref Luzum11 . Solar mass from
743  http://asa.usno.navy.mil/SecK/2013/Astronomical_Constants_2013.pdf
744 */
745 namespace o2scl_mksa {
746  /// m
747  const double schwarzchild_radius=2.95325008e3;
748  /// m / s
749  const double speed_of_light=2.99792458e8;
750  /// Newtonian constant of gravitation in m^3 / kg s^2 (CODATA 2010 value)
751  const double gravitational_constant=6.67384e-11;
752  /// Planck constant in kg m^2 / s (CODATA 2010 value)
753  const double plancks_constant_h=6.62606957e-34;
754  /// Planck constant divided by 2 pi in kg m^2 / s (CODATA 2010 value)
756  2.0/o2scl_const::pi;
757  /// Astronomical unit in m (IAU 2009 value)
758  const double astronomical_unit=1.49597870700e11;
759  /// m
760  const double light_year=9.46053620707e15;
761  /// m
762  const double parsec=3.08567758135e16;
763  /// m / s^2
764  const double grav_accel=9.80665e0;
765  /// Electron volt in kg m^2 / s^2 (CODATA 2010 value)
766  const double electron_volt=1.602176565e-19;
767  /// Electron mass in kg (CODATA 2010 value)
768  const double mass_electron=9.10938291e-31;
769  /// Muon mass in kg (CODATA 2010 value)
770  const double mass_muon=1.883531475e-28;
771  /// Proton mass in kg (CODATA 2010 value)
772  const double mass_proton=1.672621777e-27;
773  /// Neutron mass in kg (CODATA 2010 value)
774  const double mass_neutron=1.674927351e-27;
775 
776  /// Deuteron mass in kg (CODATA 2010 value)
777  const double mass_deuteron=3.34358348e-27;
778  /// Triton mass in kg (CODATA 2010 value)
779  const double mass_triton=5.00735630e-27;
780  /// Helion mass in kg (CODATA 2010 value)
781  const double mass_helion=5.00641234e-27;
782  /// Alpha particle mass in kg (CODATA 2010 value)
783  const double mass_alpha=6.64465675e-27;
784 
785  /// Rydberg constant in kg m^2 / s^2 (CODATA 2010 value)
786  const double rydberg=2.179872171e-18;
787  /// Boltzmann constant in kg m^2 / K s^2 (CODATA 2010 value)
788  const double boltzmann=1.3806488e-23;
789  /// Bohr magneton in A m^2 (CODATA 2010 value)
790  const double bohr_magneton=9.27400968e-24;
791  /// A m^2
792  const double nuclear_magneton=5.05078317e-27;
793  /// A m^2
794  const double electron_magnetic_moment=9.28476362e-24;
795  /// A m^2
796  const double proton_magnetic_moment=1.410606633e-26;
797  /// kg m^2 / K mol s^2
798  const double molar_gas=8.314472e0;
799  /// m^3 / mol
800  const double standard_gas_volume=2.2710981e-2;
801  /// s
802  const double minute=6e1;
803  /// s
804  const double hour=3.6e3;
805  /// s
806  const double day=8.64e4;
807  /// s
808  const double week=6.048e5;
809  /// m
810  const double inch=2.54e-2;
811  /// m
812  const double foot=3.048e-1;
813  /// m
814  const double yard=9.144e-1;
815  /// m
816  const double mile=1.609344e3;
817  /// m
818  const double nautical_mile=1.852e3;
819  /// m
820  const double fathom=1.8288e0;
821  /// m
822  const double mil=2.54e-5;
823  /// m
824  const double point=3.52777777778e-4;
825  /// m
826  const double texpoint=3.51459803515e-4;
827  /// m
828  const double micron=1e-6;
829  /// m
830  const double angstrom=1e-10;
831  /// m^2
832  const double hectare=1e4;
833  /// m^2
834  const double acre=4.04685642241e3;
835  /// m^2
836  const double barn=1e-28;
837  /// m^3
838  const double liter=1e-3;
839  /// m^3
840  const double us_gallon=3.78541178402e-3;
841  /// m^3
842  const double quart=9.46352946004e-4;
843  /// m^3
844  const double pint=4.73176473002e-4;
845  /// m^3
846  const double cup=2.36588236501e-4;
847  /// m^3
848  const double fluid_ounce=2.95735295626e-5;
849  /// m^3
850  const double tablespoon=1.47867647813e-5;
851  /// m^3
852  const double teaspoon=4.92892159375e-6;
853  /// m^3
854  const double canadian_gallon=4.54609e-3;
855  /// m^3
856  const double uk_gallon=4.546092e-3;
857  /// m / s
858  const double miles_per_hour=4.4704e-1;
859  /// m / s
860  const double kilometers_per_hour=2.77777777778e-1;
861  /// m / s
862  const double knot=5.14444444444e-1;
863  /// kg
864  const double pound_mass=4.5359237e-1;
865  /// kg
866  const double ounce_mass=2.8349523125e-2;
867  /// kg
868  const double ton=9.0718474e2;
869  /// kg
870  const double metric_ton=1e3;
871  /// kg
872  const double uk_ton=1.0160469088e3;
873  /// kg
874  const double troy_ounce=3.1103475e-2;
875  /// kg
876  const double carat=2e-4;
877  /// Atomic mass constant in kg (CODATA 2010 value)
878  const double unified_atomic_mass=1.660538921e-27;
879  /// kg m / s^2
880  const double gram_force=9.80665e-3;
881  /// kg m / s^2
882  const double pound_force=4.44822161526e0;
883  /// kg m / s^2
884  const double kilopound_force=4.44822161526e3;
885  /// kg m / s^2
886  const double poundal=1.38255e-1;
887  /// kg m^2 / s^2
888  const double calorie=4.1868e0;
889  /// kg m^2 / s^2
890  const double btu=1.05505585262e3;
891  /// kg m^2 / s^2
892  const double therm=1.05506e8;
893  /// kg m^2 / s^3
894  const double horsepower=7.457e2;
895  /// kg / m s^2
896  const double bar=1e5;
897  /// kg / m s^2
898  const double std_atmosphere=1.01325e5;
899  /// kg / m s^2
900  const double torr=1.33322368421e2;
901  /// kg / m s^2
902  const double meter_of_mercury=1.33322368421e5;
903  /// kg / m s^2
904  const double inch_of_mercury=3.38638815789e3;
905  /// kg / m s^2
906  const double inch_of_water=2.490889e2;
907  /// kg / m s^2
908  const double psi=6.89475729317e3;
909  /// kg m^-1 s^-1
910  const double poise=1e-1;
911  /// m^2 / s
912  const double stokes=1e-4;
913  /// A s / mol
914  const double faraday=9.64853429775e4;
915  /// A s
916  const double electron_charge=1.602176565e-19;
917  /// kg / A s^2
918  const double gauss=1e-4;
919  /// cd / m^2
920  const double stilb=1e4;
921  /// cd sr
922  const double lumen=1e0;
923  /// cd sr / m^2
924  const double lux=1e0;
925  /// cd sr / m^2
926  const double phot=1e4;
927  /// cd sr / m^2
928  const double footcandle=1.076e1;
929  /// cd sr / m^2
930  const double lambert=1e4;
931  /// cd sr / m^2
932  const double footlambert=1.07639104e1;
933  /// 1 / s
934  const double curie=3.7e10;
935  /// A s / kg
936  const double roentgen=2.58e-4;
937  /// m^2 / s^2
938  const double rad=1e-2;
939  /// kg
940  const double solar_mass=1.9884e30;
941  /// m
942  const double bohr_radius=5.291772083e-11;
943  /// kg m / s^2
944  const double newton=1e0;
945  /// kg m / s^2
946  const double dyne=1e-5;
947  /// kg m^2 / s^2
948  const double joule=1e0;
949  /// kg m^2 / s^2
950  const double erg=1e-7;
951  /// kg / K^4 s^3
952  const double stefan_boltzmann_constant=5.67039934436e-8;
953  /// m^2
954  const double thomson_cross_section=6.65245853542e-29;
955  /// A^2 s^4 / kg m^3
956  const double vacuum_permittivity=8.854187817e-12;
957  /// kg m / A^2 s^2
958  const double vacuum_permeability=1.25663706144e-6;
959  /** \brief Fermi coupling constant in s^4 / cm^4 g^2,
960  defined as \f$ 1.166364 \times 10^{-5}~\mathrm{GeV}^{-2} \f$
961  (CODATA 2010 value)
962  */
963  const double Gfermi=1.166364e-23/electron_volt/electron_volt;
964 }
965 
966 // Other derived values to add to the namespace
967 namespace o2scl_const {
968 
969  /// \f$ \hbar c \f$ in MeV fm (derived)
972 
973  /// \f$ \hbar c \f$ in MeV cm (derived)
974  const double hc_mev_cm=hc_mev_fm*1.0e-13;
975 
976  /** \name Squared electron charge
977  */
978  //@{
979  /** \brief Electron charge squared in Gaussian units (derived)
980 
981  In Gaussian Units:
982  \f{eqnarray*}
983  &\vec{\nabla} \cdot \vec{E} = 4 \pi \rho \, ,
984  \quad
985  \vec{E}=-\vec{\nabla} \Phi \, ,
986  \quad
987  \nabla^2 \Phi = - 4 \pi \rho \, ,
988  &\\&
989  F=\frac{q_1 q_2}{r^2} \, ,
990  \quad
991  W=\frac{1}{2} \int \rho V d^3 x
992  =\frac{1}{8 \pi} \int | \vec{E} |^2 d^3 x \, ,
993  \quad
994  \alpha=\frac{e^2}{\hbar c}=\frac{1}{137}&
995  \f}
996  */
999 
1000  /** \brief Electron charge sqaured in
1001  Heaviside-Lorentz units where \f$\hbar=c=1\f$ (derived)
1002 
1003  In Heaviside-Lorentz units:
1004  \f{eqnarray*}
1005  &\vec{\nabla} \cdot \vec{E} = \rho \, ,
1006  \quad
1007  \vec{E}=-\vec{\nabla} \Phi \, ,
1008  \quad
1009  \nabla^2 \Phi = - \rho \, ,
1010  &\\&
1011  F=\frac{q_1 q_2}{4 \pi r^2} \, ,
1012  \quad
1013  W=\frac{1}{2} \int \rho V d^3 x
1014  =\frac{1}{2} \int | \vec{E} |^2 d^3 x \, ,
1015  \quad
1016  \alpha=\frac{e^2}{4 \pi}=\frac{1}{137}&
1017  \f}
1018  */
1020 
1021  /** \brief Electron charge squared in SI(MKSA) units (derived)
1022 
1023  In MKSA units:
1024  \f{eqnarray*}
1025  &\vec{\nabla} \cdot \vec{E} = \rho \, ,
1026  \quad
1027  \vec{E}=-\vec{\nabla} \Phi \, ,
1028  \quad
1029  \nabla^2 \Phi = - \rho \, ,
1030  &\\&
1031  F=\frac{1}{4 \pi \varepsilon_0}\frac{q_1 q_2}{r^2} \, ,
1032  \quad
1033  W=\frac{1}{2} \int \rho V d^3 x
1034  =\frac{\varepsilon_0}{2} \int | \vec{E} |^2 d^3 x \, ,
1035  \quad
1036  \alpha=\frac{e^2}{4 \pi \varepsilon_0 \hbar c}=\frac{1}{137}&
1037  \f}
1038 
1039  Note the conversion formulas
1040  \f[
1041  q_HL=\sqrt{4 \pi} q_G = \frac{1}{\sqrt{\varepsilon_0}} q_{SI}
1042  \f]
1043  as mentioned, e.g. in pg. 13 of D. Griffiths Intro to Elem. Particles.
1044  */
1046  //@}
1047 
1048  /** \brief 1 \f$\mathrm{Gauss}\f$ times the electron charge
1049  in Gaussian units in \f$\mathrm{fm}^{-2}\f$
1050  */
1053 
1054  /** \brief Conversion factor from \f$ \mathrm{Gauss}^2 \f$ to
1055  \f$\mathrm{fm}^{-4}\f$ in Gaussian units.
1056 
1057  This is useful, e.g. in converting magnetic field squared
1058  to an energy density.
1059  */
1062 
1063 
1064  /** \brief \f$ \Lambda \f$ hyperon mass in \f$ \mathrm{MeV} \f$
1065 
1066  Value from PDG live (5/1/14).
1067  */
1068  const double mass_lambda_MeV=1115.683;
1069 }
1070 
1071 
1072 #endif
const double fluid_ounce
m^3
Definition: constants.h:848
const double footlambert
cd sr / m^2
Definition: constants.h:705
const double kilopound_force
kg m / s^2
Definition: constants.h:884
const double nautical_mile
m
Definition: constants.h:591
const double lambert
cd sr / m^2
Definition: constants.h:703
const double gravitational_constant
Newtonian constant of gravitation in m^3 / kg s^2 (CODATA 2010 value)
Definition: constants.h:524
const double inch_of_mercury
kg / m s^2
Definition: constants.h:677
const double pound_mass
g
Definition: constants.h:199
const double light_year
m
Definition: constants.h:760
const double inch
cm
Definition: constants.h:358
const double hectare
m^2
Definition: constants.h:605
const double angstrom
cm
Definition: constants.h:378
const double mass_alpha
Alpha particle mass in kg (CODATA 2010 value)
Definition: constants.h:335
const double mass_electron
Electron mass in g (CODATA 2010 value)
Definition: constants.h:111
const double grav_accel
cm / s^2
Definition: constants.h:316
const double solar_mass
kg
Definition: constants.h:713
const double poundal
kg m / s^2
Definition: constants.h:659
const double thomson_cross_section
cm^2
Definition: constants.h:500
const double week
s
Definition: constants.h:143
const double kilopound_force
cm g / s^2
Definition: constants.h:432
const double carat
g
Definition: constants.h:211
const double angstrom
m
Definition: constants.h:603
const double faraday
abamp s / mol
Definition: constants.h:462
const double cup
cm^3
Definition: constants.h:181
const double inch_of_mercury
g / cm s^2
Definition: constants.h:452
const double bar
g / cm s^2
Definition: constants.h:444
const double miles_per_hour
m / s
Definition: constants.h:858
const double tablespoon
cm^3
Definition: constants.h:398
const double lumen
cd sr
Definition: constants.h:251
const double foot
m
Definition: constants.h:585
const double dyne
kg m / s^2
Definition: constants.h:946
const double Gfermi
Fermi coupling constant in s^4 / cm^4 g^2, defined as (CODATA 2010 value)
Definition: constants.h:736
const double inch_of_water
kg / m s^2
Definition: constants.h:906
const double troy_ounce
kg
Definition: constants.h:647
const double poundal
kg m / s^2
Definition: constants.h:886
const double schwarzchild_radius
cm
Definition: constants.h:90
const double mass_triton
Triton mass in kg (CODATA 2010 value)
Definition: constants.h:331
const double mass_alpha
Alpha particle mass in kg (CODATA 2010 value)
Definition: constants.h:126
const double us_gallon
m^3
Definition: constants.h:840
const double std_atmosphere
kg / m s^2
Definition: constants.h:671
const double uk_ton
kg
Definition: constants.h:872
const double plancks_constant_h
Planck constant in kg m^2 / s (CODATA 2010 value)
Definition: constants.h:753
const double parsec
cm
Definition: constants.h:105
const double barn
m^2
Definition: constants.h:836
const double standard_gas_volume
m^3 / mol
Definition: constants.h:800
const double calorie
kg m^2 / s^2
Definition: constants.h:661
const double btu
kg m^2 / s^2
Definition: constants.h:663
const double tablespoon
m^3
Definition: constants.h:850
const double mass_proton
Proton mass in kg (CODATA 2010 value)
Definition: constants.h:545
const double kilometers_per_hour
cm / s
Definition: constants.h:408
const double metric_ton
kg
Definition: constants.h:643
const double cup
m^3
Definition: constants.h:846
const double pound_force
kg m / s^2
Definition: constants.h:655
const double hc_mev_cm
in MeV cm (derived)
Definition: constants.h:974
const double calorie
kg m^2 / s^2
Definition: constants.h:888
const double electron_magnetic_moment
A m^2.
Definition: constants.h:794
const double week
s
Definition: constants.h:356
const double light_year
cm
Definition: constants.h:312
const double footcandle
cd sr / m^2
Definition: constants.h:928
const double psi
g / cm s^2
Definition: constants.h:243
const double nuclear_magneton
A m^2.
Definition: constants.h:565
const double hectare
cm^2
Definition: constants.h:167
const double us_gallon
cm^3
Definition: constants.h:175
const double vacuum_permittivity
A^2 s^4 / kg m^3.
Definition: constants.h:729
const double angstrom
m
Definition: constants.h:830
const double faraday
A s / mol.
Definition: constants.h:687
const double bohr_radius
m
Definition: constants.h:715
const double pi
Definition: constants.h:62
const double kilometers_per_hour
cm / s
Definition: constants.h:195
const double kilopound_force
kg m / s^2
Definition: constants.h:657
const double curie
1 / s
Definition: constants.h:934
const double yard
cm
Definition: constants.h:362
const double schwarzchild_radius
m
Definition: constants.h:520
const double mile
m
Definition: constants.h:816
const double astronomical_unit
Astronomical unit in m (IAU 2009 value)
Definition: constants.h:758
const double troy_ounce
g
Definition: constants.h:209
const double mass_neutron
Neutron mass in kg (CODATA 2010 value)
Definition: constants.h:774
const double erg
g cm^2 / s^2
Definition: constants.h:496
const double barn
cm^2
Definition: constants.h:171
const double inch_of_mercury
g / cm s^2
Definition: constants.h:239
const double hectare
cm^2
Definition: constants.h:380
const double bohr_magneton
Bohr magneton in abamp cm^2 (CODATA 2010 value)
Definition: constants.h:502
const double standard_gas_volume
cm^3 / mol
Definition: constants.h:348
const double electron_volt
Electron volt in kg m^2 / s^2 (CODATA 2010 value)
Definition: constants.h:766
const double mass_muon
Muon mass in kg (CODATA 2010 value)
Definition: constants.h:770
const double solar_mass
g
Definition: constants.h:269
const double poise
g / cm s
Definition: constants.h:245
const double curie
1 / s
Definition: constants.h:263
const double e2_hlorentz
Electron charge sqaured in Heaviside-Lorentz units where (derived)
Definition: constants.h:1019
const double kilometers_per_hour
m / s
Definition: constants.h:633
const double mass_neutron
Neutron mass in g (CODATA 2010 value)
Definition: constants.h:117
const double mass_muon
Muon mass in g (CODATA 2010 value)
Definition: constants.h:113
const double mass_proton
Proton mass in kg (CODATA 2010 value)
Definition: constants.h:772
const double footlambert
cd sr / m^2
Definition: constants.h:932
const double plancks_constant_hbar
Planck constant divided by 2 pi in kg m^2 / s (CODATA 2010 value)
Definition: constants.h:528
const double meter_of_mercury
g / cm s^2
Definition: constants.h:237
const double cup
cm^3
Definition: constants.h:394
const double inch_of_water
kg / m s^2
Definition: constants.h:679
const double pound_force
kg m / s^2
Definition: constants.h:882
const double dyne
kg m / s^2
Definition: constants.h:719
const double teaspoon
cm^3
Definition: constants.h:400
const double Gfermi
Fermi coupling constant in s^4 / cm^4 g^2, defined as (CODATA 2010 value)
Definition: constants.h:509
const double plancks_constant_h
Planck constant in g cm^2 / s (CODATA 2010 value)
Definition: constants.h:96
const double week
s
Definition: constants.h:808
const double bar
g / cm s^2
Definition: constants.h:231
const double point
cm
Definition: constants.h:159
const double zeta52
Definition: constants.h:70
const double rad
cm^2 / s^2
Definition: constants.h:267
const double minute
s
Definition: constants.h:137
const double mass_neutron
Neutron mass in kg (CODATA 2010 value)
Definition: constants.h:547
const double plancks_constant_hbar
Planck constant divided by 2 pi in kg m^2 / s (CODATA 2010 value)
Definition: constants.h:755
const double mass_triton
Triton mass in kg (CODATA 2010 value)
Definition: constants.h:779
const double mass_deuteron
Deuteron mass in kg (CODATA 2010 value)
Definition: constants.h:550
const double acre
m^2
Definition: constants.h:834
const double teaspoon
m^3
Definition: constants.h:852
const double plancks_constant_hbar
Planck constant divided by 2 pi in g cm^2 / s (derived)
Definition: constants.h:307
const double rad
m^2 / s^2
Definition: constants.h:711
const double rydberg
Rydberg constant in g cm^2 / s^2 (CODATA 2010 value)
Definition: constants.h:129
const double knot
cm / s
Definition: constants.h:410
const double torr
kg / m s^2
Definition: constants.h:673
const double footcandle
cd sr / m^2
Definition: constants.h:701
const double point
cm
Definition: constants.h:372
const double solar_mass
kg
Definition: constants.h:940
const double bohr_magneton
Bohr magneton in A m^2 (CODATA 2010 value)
Definition: constants.h:563
const double yard
m
Definition: constants.h:587
const double cup
m^3
Definition: constants.h:619
const double psi
kg / m s^2
Definition: constants.h:908
const double day
s
Definition: constants.h:354
const double us_gallon
m^3
Definition: constants.h:613
const double ton
g
Definition: constants.h:203
const double troy_ounce
g
Definition: constants.h:422
const double therm
g cm^2 / s^2
Definition: constants.h:440
const double torr
g / cm s^2
Definition: constants.h:235
const double meter_of_mercury
kg / m s^2
Definition: constants.h:675
const double ounce_mass
kg
Definition: constants.h:866
const double ton
kg
Definition: constants.h:868
const double hc_mev_fm
in MeV fm (derived)
Definition: constants.h:970
const double ounce_mass
g
Definition: constants.h:414
const double mass_electron
Electron mass in kg (CODATA 2010 value)
Definition: constants.h:768
const double mass_alpha
Alpha particle mass in kg (CODATA 2010 value)
Definition: constants.h:556
const double molar_gas
g cm^2 / K mol s^2
Definition: constants.h:133
const double teaspoon
m^3
Definition: constants.h:625
const double uk_gallon
cm^3
Definition: constants.h:404
const double boltzmann
Boltzmann constant in g cm^2 / K s^2 (CODATA 2010 value)
Definition: constants.h:131
const double joule
kg m^2 / s^2
Definition: constants.h:948
const double psi
kg / m s^2
Definition: constants.h:681
const double stokes
cm^2 / s
Definition: constants.h:247
const double liter
m^3
Definition: constants.h:611
const double proton_magnetic_moment
A m^2.
Definition: constants.h:796
const double joule
g cm^2 / s^2
Definition: constants.h:277
const double nuclear_magneton
A m^2.
Definition: constants.h:792
const double gram_force
cm g / s^2
Definition: constants.h:428
const double phot
cd sr / cm^2
Definition: constants.h:255
const double electron_volt
Electron volt in g cm^2 / s^2 (CODATA 2010 value)
Definition: constants.h:109
const double us_gallon
cm^3
Definition: constants.h:388
const double pint
cm^3
Definition: constants.h:179
const double proton_magnetic_moment
A m^2.
Definition: constants.h:569
const double liter
m^3
Definition: constants.h:838
const double rad
m^2 / s^2
Definition: constants.h:938
const double bar
kg / m s^2
Definition: constants.h:669
const double e2_mksa
Electron charge squared in SI(MKSA) units (derived)
Definition: constants.h:1045
const double electron_volt
Electron volt in g cm^2 / s^2 (CODATA 2010 value)
Definition: constants.h:318
const double acre
m^2
Definition: constants.h:607
const double roentgen
A s / kg.
Definition: constants.h:709
const double psi
g / cm s^2
Definition: constants.h:456
const double horsepower
kg m^2 / s^3
Definition: constants.h:667
const double proton_magnetic_moment
abamp cm^2
Definition: constants.h:344
const double meter_of_mercury
g / cm s^2
Definition: constants.h:450
const double boltzmann
Boltzmann constant in g cm^2 / K s^2 (CODATA 2010 value)
Definition: constants.h:340
const double nautical_mile
cm
Definition: constants.h:366
const double horsepower
g cm^2 / s^3
Definition: constants.h:442
const double ton
g
Definition: constants.h:416
const double day
s
Definition: constants.h:141
const double lambert
cd sr / cm^2
Definition: constants.h:476
const double lumen
cd sr
Definition: constants.h:695
const double mil
cm
Definition: constants.h:370
const double fathom
cm
Definition: constants.h:155
const double carat
kg
Definition: constants.h:876
const double mil
m
Definition: constants.h:822
const double newton
kg m / s^2
Definition: constants.h:944
const double zeta32
Definition: constants.h:66
const double parsec
cm
Definition: constants.h:314
const double std_atmosphere
kg / m s^2
Definition: constants.h:898
const double uk_ton
g
Definition: constants.h:420
const double pound_force
cm g / s^2
Definition: constants.h:430
const double std_atmosphere
g / cm s^2
Definition: constants.h:446
const double parsec
m
Definition: constants.h:762
const double mass_deuteron
Deuteron mass in kg (CODATA 2010 value)
Definition: constants.h:329
const double plancks_constant_h
Planck constant in g cm^2 / s (CODATA 2010 value)
Definition: constants.h:305
const double kilopound_force
cm g / s^2
Definition: constants.h:219
const double electron_volt
Electron volt in kg m^2 / s^2 (CODATA 2010 value)
Definition: constants.h:539
const double tablespoon
m^3
Definition: constants.h:623
const double metric_ton
g
Definition: constants.h:418
const double pound_mass
g
Definition: constants.h:412
const double meter_of_mercury
kg / m s^2
Definition: constants.h:902
const double torr
g / cm s^2
Definition: constants.h:448
const double therm
g cm^2 / s^2
Definition: constants.h:227
const double gram_force
cm g / s^2
Definition: constants.h:215
const double curie
1 / s
Definition: constants.h:480
const double Gfermi
Fermi coupling constant in s^4 / cm^4 g^2, defined as (CODATA 2010 value)
Definition: constants.h:288
const double e2_gaussian
Electron charge squared in Gaussian units (derived)
Definition: constants.h:997
const double barn
m^2
Definition: constants.h:609
const double quart
m^3
Definition: constants.h:615
const double gram_force
kg m / s^2
Definition: constants.h:880
const double plancks_constant_h
Planck constant in kg m^2 / s (CODATA 2010 value)
Definition: constants.h:526
const double standard_gas_volume
cm^3 / mol
Definition: constants.h:135
const double uk_gallon
cm^3
Definition: constants.h:191
const double fine_structure
Fine structure constant (CODATA 2010 value)
Definition: constants.h:56
const double speed_of_light
cm / s
Definition: constants.h:301
const double roentgen
abamp s / g
Definition: constants.h:482
const double faraday
A s / mol.
Definition: constants.h:914
const double btu
g cm^2 / s^2
Definition: constants.h:438
const double zeta5
Definition: constants.h:74
const double mass_deuteron
Deuteron mass in kg (CODATA 2010 value)
Definition: constants.h:120
const double angstrom
cm
Definition: constants.h:165
const double zeta7
Definition: constants.h:76
const double carat
g
Definition: constants.h:424
const double quart
cm^3
Definition: constants.h:390
const double electron_magnetic_moment
abamp cm^2
Definition: constants.h:342
const double poundal
cm g / s^2
Definition: constants.h:434
const double thomson_cross_section
cm^2
Definition: constants.h:283
const double parsec
m
Definition: constants.h:535
const double roentgen
A s / kg.
Definition: constants.h:936
const double hour
s
Definition: constants.h:804
const double lux
cd sr / m^2
Definition: constants.h:924
const double pound_mass
kg
Definition: constants.h:637
const double fathom
cm
Definition: constants.h:368
const double stefan_boltzmann_constant
kg / K^4 s^3
Definition: constants.h:952
const double dyne
cm g / s^2
Definition: constants.h:492
const double foot
m
Definition: constants.h:812
const double lux
cd sr / m^2
Definition: constants.h:697
const double knot
m / s
Definition: constants.h:862
const double mass_electron
Electron mass in g (CODATA 2010 value)
Definition: constants.h:320
const double mass_helion
Helion mass in kg (CODATA 2010 value)
Definition: constants.h:124
const double nautical_mile
cm
Definition: constants.h:153
const double speed_of_light
cm / s
Definition: constants.h:92
const double phot
cd sr / m^2
Definition: constants.h:699
const double micron
m
Definition: constants.h:828
const double mil
cm
Definition: constants.h:157
const double joule
kg m^2 / s^2
Definition: constants.h:721
const double phot
cd sr / cm^2
Definition: constants.h:472
const double astronomical_unit
Astronomical unit in cm (IAU 2009 value)
Definition: constants.h:101
const double footcandle
cd sr / cm^2
Definition: constants.h:474
const double stilb
cd / m^2
Definition: constants.h:693
const double zeta3
Definition: constants.h:72
const double day
s
Definition: constants.h:806
const double metric_ton
g
Definition: constants.h:205
const double newton
cm g / s^2
Definition: constants.h:273
const double nautical_mile
m
Definition: constants.h:818
const double calorie
g cm^2 / s^2
Definition: constants.h:436
const double kilometers_per_hour
m / s
Definition: constants.h:860
const double horsepower
kg m^2 / s^3
Definition: constants.h:894
const double stokes
m^2 / s
Definition: constants.h:912
const double electron_charge
abamp s
Definition: constants.h:464
const double schwarzchild_radius
cm
Definition: constants.h:299
const double fluid_ounce
cm^3
Definition: constants.h:396
const double btu
kg m^2 / s^2
Definition: constants.h:890
const double mass_helion
Helion mass in kg (CODATA 2010 value)
Definition: constants.h:781
const double micron
cm
Definition: constants.h:376
const double ton
kg
Definition: constants.h:641
const double stilb
cd / m^2
Definition: constants.h:920
const double poise
kg m^-1 s^-1
Definition: constants.h:683
const double grav_accel
m / s^2
Definition: constants.h:537
const double inch_of_water
g / cm s^2
Definition: constants.h:454
const double day
s
Definition: constants.h:579
const double yard
m
Definition: constants.h:814
const double fathom
m
Definition: constants.h:593
const double inch_of_mercury
kg / m s^2
Definition: constants.h:904
const double astronomical_unit
Astronomical unit in cm (IAU 2009 value)
Definition: constants.h:310
const double knot
cm / s
Definition: constants.h:197
const double thomson_cross_section
m^2
Definition: constants.h:954
const double stokes
cm^2 / s
Definition: constants.h:460
const double minute
s
Definition: constants.h:575
const double point
m
Definition: constants.h:824
const double micron
m
Definition: constants.h:601
const double stefan_boltzmann_constant
kg / K^4 s^3
Definition: constants.h:725
const double sin2_theta_weak
(CODATA 2010 value)
Definition: constants.h:79
const double knot
m / s
Definition: constants.h:635
const double poise
g / cm s
Definition: constants.h:458
const double unified_atomic_mass
Atomic mass constant in g (CODATA 2010 value)
Definition: constants.h:213
const double micron
cm
Definition: constants.h:163
const double miles_per_hour
cm / s
Definition: constants.h:406
const double Gfermi
Fermi coupling constant in s^4 / cm^4 g^2, defined as (CODATA 2010 value)
Definition: constants.h:963
const double rad
cm^2 / s^2
Definition: constants.h:484
const double hectare
m^2
Definition: constants.h:832
const double zeta2
Definition: constants.h:68
const double hour
s
Definition: constants.h:352
const double unified_atomic_mass
Atomic mass constant in kg (CODATA 2010 value)
Definition: constants.h:878
const double hour
s
Definition: constants.h:139
const double texpoint
cm
Definition: constants.h:374
const double calorie
g cm^2 / s^2
Definition: constants.h:223
const double minute
s
Definition: constants.h:350
const double minute
s
Definition: constants.h:802
const double mass_deuteron
Deuteron mass in kg (CODATA 2010 value)
Definition: constants.h:777
const double fathom
m
Definition: constants.h:820
const double texpoint
cm
Definition: constants.h:161
const double unified_atomic_mass
Atomic mass constant in g (CODATA 2010 value)
Definition: constants.h:426
const double roentgen
A s / g.
Definition: constants.h:265
const double electron_charge
A s.
Definition: constants.h:916
const double acre
cm^2
Definition: constants.h:382
const double vacuum_permeability
kg m / A^2 s^2
Definition: constants.h:958
const double uk_ton
kg
Definition: constants.h:645
const double gram_force
kg m / s^2
Definition: constants.h:653
const double bohr_radius
cm
Definition: constants.h:271
const double mass_muon
Muon mass in kg (CODATA 2010 value)
Definition: constants.h:543
const double poundal
cm g / s^2
Definition: constants.h:221
const double bohr_radius
m
Definition: constants.h:942
const double pint
cm^3
Definition: constants.h:392
const double solar_mass
g
Definition: constants.h:486
const double erg
g cm^2 / s^2
Definition: constants.h:279
const double barn
cm^2
Definition: constants.h:384
const double texpoint
m
Definition: constants.h:599
const double rydberg
Rydberg constant in kg m^2 / s^2 (CODATA 2010 value)
Definition: constants.h:786
const double thomson_cross_section
m^2
Definition: constants.h:727
const double erg
kg m^2 / s^2
Definition: constants.h:723
const double canadian_gallon
m^3
Definition: constants.h:627
const double canadian_gallon
m^3
Definition: constants.h:854
const double stefan_boltzmann_constant
g / K^4 s^3
Definition: constants.h:281
const double std_atmosphere
g / cm s^2
Definition: constants.h:233
const double mass_muon
Muon mass in g (CODATA 2010 value)
Definition: constants.h:322
const double metric_ton
kg
Definition: constants.h:870
const double therm
kg m^2 / s^2
Definition: constants.h:665
const double molar_gas
g cm^2 / K mol s^2
Definition: constants.h:346
const double texpoint
m
Definition: constants.h:826
const double bar
kg / m s^2
Definition: constants.h:896
const double torr
kg / m s^2
Definition: constants.h:900
const double mass_triton
Triton mass in kg (CODATA 2010 value)
Definition: constants.h:552
const double yard
cm
Definition: constants.h:149
const double light_year
cm
Definition: constants.h:103
const double hour
s
Definition: constants.h:577
const double btu
g cm^2 / s^2
Definition: constants.h:225
const double phot
cd sr / m^2
Definition: constants.h:926
const double carat
kg
Definition: constants.h:649
const double ounce_mass
kg
Definition: constants.h:639
const double lumen
cd sr
Definition: constants.h:468
const double speed_of_light
m / s
Definition: constants.h:522
const double poise
kg m^-1 s^-1
Definition: constants.h:910
const double footlambert
cd sr / cm^2
Definition: constants.h:478
const double gauss
kg / A s^2
Definition: constants.h:691
const double inch_of_water
g / cm s^2
Definition: constants.h:241
const double stokes
m^2 / s
Definition: constants.h:685
const double plancks_constant_hbar
Planck constant divided by 2 pi in g cm^2 / s (derived)
Definition: constants.h:98
const double mass_helion
Helion mass in kg (CODATA 2010 value)
Definition: constants.h:554
const double newton
cm g / s^2
Definition: constants.h:490
const double ounce_mass
g
Definition: constants.h:201
const double quart
m^3
Definition: constants.h:842
const double boltzmann
Boltzmann constant in kg m^2 / K s^2 (CODATA 2010 value)
Definition: constants.h:788
const double canadian_gallon
cm^3
Definition: constants.h:402
const double boltzmann
Boltzmann constant in kg m^2 / K s^2 (CODATA 2010 value)
Definition: constants.h:561
const double gravitational_constant
Newtonian constant of gravitation in m^3 / kg s^2 (CODATA 2010 value)
Definition: constants.h:751
const double fluid_ounce
cm^3
Definition: constants.h:183
const double uk_gallon
m^3
Definition: constants.h:629
const double lumen
cd sr
Definition: constants.h:922
const double mile
m
Definition: constants.h:589
const double lux
cd sr / cm^2
Definition: constants.h:470
const double rydberg
Rydberg constant in kg m^2 / s^2 (CODATA 2010 value)
Definition: constants.h:559
const double erg
kg m^2 / s^2
Definition: constants.h:950
const double lambert
cd sr / m^2
Definition: constants.h:930
const double electron_magnetic_moment
A m^2.
Definition: constants.h:567
const double bohr_radius
cm
Definition: constants.h:488
const double electron_charge
A s.
Definition: constants.h:689
const double stilb
cd / cm^2
Definition: constants.h:466
const double mil
m
Definition: constants.h:595
const double bohr_magneton
Bohr magneton in A m^2 (CODATA 2010 value)
Definition: constants.h:790
const double foot
cm
Definition: constants.h:147
const double avogadro
Avogadro's number (CODATA 2010 value)
Definition: constants.h:59
const double troy_ounce
kg
Definition: constants.h:874
const double uk_ton
g
Definition: constants.h:207
const double quart
cm^3
Definition: constants.h:177
const double astronomical_unit
Astronomical unit in m (IAU 2009 value)
Definition: constants.h:531
const double lux
cd sr / cm^2
Definition: constants.h:253
const double teaspoon
cm^3
Definition: constants.h:187
const double pint
m^3
Definition: constants.h:844
const double mile
cm
Definition: constants.h:151
const double mass_proton
Proton mass in g (CODATA 2010 value)
Definition: constants.h:324
const double molar_gas
kg m^2 / K mol s^2
Definition: constants.h:798
const double curie
1 / s
Definition: constants.h:707
const double rydberg
Rydberg constant in g cm^2 / s^2 (CODATA 2010 value)
Definition: constants.h:338
const double gauss2_fm4
Conversion factor from to in Gaussian units.
Definition: constants.h:1060
const double foot
cm
Definition: constants.h:360
const double mass_helion
Helion mass in kg (CODATA 2010 value)
Definition: constants.h:333
const double acre
cm^2
Definition: constants.h:169
const double miles_per_hour
cm / s
Definition: constants.h:193
const double canadian_gallon
cm^3
Definition: constants.h:189
const double mass_alpha
Alpha particle mass in kg (CODATA 2010 value)
Definition: constants.h:783
const double grav_accel
m / s^2
Definition: constants.h:764
const double ec_gauss_fm2
1 times the electron charge in Gaussian units in
Definition: constants.h:1051
const double horsepower
g cm^2 / s^3
Definition: constants.h:229
const double unified_atomic_mass
Atomic mass constant in kg (CODATA 2010 value)
Definition: constants.h:651
const double mass_neutron
Neutron mass in g (CODATA 2010 value)
Definition: constants.h:326
const double vacuum_permittivity
A^2 s^4 / kg m^3.
Definition: constants.h:956
const double newton
kg m / s^2
Definition: constants.h:717
const double inch
cm
Definition: constants.h:145
const double gauss
kg / A s^2
Definition: constants.h:918
const double molar_gas
kg m^2 / K mol s^2
Definition: constants.h:571
const double lambert
cd sr / cm^2
Definition: constants.h:259
const double pound_mass
kg
Definition: constants.h:864
const double pound_force
cm g / s^2
Definition: constants.h:217
const double miles_per_hour
m / s
Definition: constants.h:631
const double mass_electron
Electron mass in kg (CODATA 2010 value)
Definition: constants.h:541
const double nuclear_magneton
abamp cm^2
Definition: constants.h:504
const double uk_gallon
m^3
Definition: constants.h:856
const double mass_lambda_MeV
hyperon mass in
Definition: constants.h:1068
const double vacuum_permeability
kg m / A^2 s^2
Definition: constants.h:731
const double dyne
cm g / s^2
Definition: constants.h:275
const double stilb
cd / cm^2
Definition: constants.h:249
const double therm
kg m^2 / s^2
Definition: constants.h:892
const double schwarzchild_radius
m
Definition: constants.h:747
const double fluid_ounce
m^3
Definition: constants.h:621
const double inch
m
Definition: constants.h:583
const double standard_gas_volume
m^3 / mol
Definition: constants.h:573
const double pint
m^3
Definition: constants.h:617
const double footlambert
cd sr / cm^2
Definition: constants.h:261
const double inch
m
Definition: constants.h:810
const double grav_accel
cm / s^2
Definition: constants.h:107
const double mass_triton
Triton mass in kg (CODATA 2010 value)
Definition: constants.h:122
const double liter
cm^3
Definition: constants.h:173
const double light_year
m
Definition: constants.h:533
const double speed_of_light
m / s
Definition: constants.h:749
const double gravitational_constant
Newtonian constant of gravitation in cm^3 / g s^2 (CODATA 2010 value)
Definition: constants.h:94
const double week
s
Definition: constants.h:581
const double joule
g cm^2 / s^2
Definition: constants.h:494
const double mile
cm
Definition: constants.h:364
const double point
m
Definition: constants.h:597
const double liter
cm^3
Definition: constants.h:386
const double pi2
Definition: constants.h:64
const double gravitational_constant
Newtonian constant of gravitation in cm^3 / g s^2 (CODATA 2010 value)
Definition: constants.h:303
const double footcandle
cd sr / cm^2
Definition: constants.h:257
const double tablespoon
cm^3
Definition: constants.h:185
const double mass_proton
Proton mass in g (CODATA 2010 value)
Definition: constants.h:115
const double stefan_boltzmann_constant
g / K^4 s^3
Definition: constants.h:498

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