constants.h
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1 /*
2  -------------------------------------------------------------------
3 
4  Copyright (C) 2006-2020, 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 #include <boost/math/constants/constants.hpp>
32 
33 /** \brief Constants
34 
35  CODATA 2014 values are in \ref Mohr16. CODATA 2018 values are from
36  physics.nist.gov/constants.
37 */
38 namespace o2scl_const {
39 
40  const double yotta=1e24;
41  const double zetta=1e21;
42  const double exa=1e18;
43  const double peta=1e15;
44  const double tera=1e12;
45  const double giga=1e9;
46  const double mega=1e6;
47  const double kilo=1e3;
48  const double milli=1e-3;
49  const double micro=1e-6;
50  const double nano=1e-9;
51  const double pico=1e-12;
52  const double femto=1e-15;
53  const double atto=1e-18;
54  const double zepto=1e-21;
55  const double yocto=1e-24;
56 
57  /** \brief Fine structure constant (CODATA 2018 value)
58  */
59  const double fine_structure=7.2973525693e-3;
60  /** \brief Avogadro's number (CODATA 2018 value; exact)
61  */
62  const double avogadro=6.02214076e23;
63 
64  /// \f$ \pi \f$
65  const double pi=boost::math::constants::pi<double>();
66  /// \f$ \pi^2 \f$
67  const double pi2=boost::math::constants::pi_sqr<double>();
68  /// \f$ \zeta(3/2) \f$
69  const double zeta32=2.6123753486854883433;
70  /// \f$ \zeta(2) \f$
71  const double zeta2=boost::math::constants::zeta_two<double>();
72  /// \f$ \zeta(5/2) \f$
73  const double zeta52=1.3414872572509171798;
74  /// \f$ \zeta(3) \f$
75  const double zeta3=boost::math::constants::zeta_three<double>();
76  /// \f$ \zeta(5) \f$
77  const double zeta5=1.0369277551433699263;
78  /// \f$ \zeta(7) \f$
79  const double zeta7=1.0083492773819228268;
80 
81  /// \f$ \sin^2 \theta_W \f$ (PDG 2018 value)
82  const double sin2_theta_weak=0.23122;
83 
84  /// MKS units
85  static const size_t o2scl_mks=1;
86  /// CGS units
87  static const size_t o2scl_cgs=2;
88 
89  /// Planck constant
90  template<class fp_t> fp_t planck_f(size_t system=o2scl_mks) {
91  fp_t numer=662607015;
92  fp_t denom=100000000;
93  if (system==o2scl_cgs) {
94  fp_t result=(numer/denom)*1.0e-27;
95  return result;
96  }
97  fp_t result=(numer/denom)*1.0e-34;
98  return result;
99  }
100 
101  /// Reduced Planck constant
102  template<class fp_t> fp_t hbar_f(size_t system=o2scl_mks) {
103  return planck_f<fp_t>(system)/2/
104  boost::math::constants::pi<fp_t>();
105  }
106 
107  /** \brief Speed of light */
108  template<class fp_t> fp_t speed_of_light_f(size_t system=o2scl_mks) {
109  if (system==o2scl_cgs) {
110  fp_t result=29979245800;
111  return result;
112  }
113  fp_t result=299792458;
114  return result;
115  }
116 
117  /// Elementary charge
118  template<class fp_t> fp_t elem_charge_f() {
119  fp_t numer=1602176634;
120  fp_t denom=1000000000;
121  fp_t result=(numer/denom)*1.0e-19;
122  return result;
123  }
124 
125  /** \brief Reduced Planck constant times speed of light
126  in \f$ \mathrm{MeV}~\mathrm{fm} \f$
127  */
128  template<class fp_t> fp_t hc_mev_fm_f() {
129  fp_t hbarc=hbar_f<fp_t>()*speed_of_light_f<fp_t>()/
130  elem_charge_f<fp_t>()*1.0e9;
131  return hbarc;
132  }
133 
134  /// \f$ \hbar c \f$ in MeV fm (exact)
135  const double hc_mev_fm=hc_mev_fm_f<double>();
136 
137  /// \f$ \hbar c \f$ in MeV cm (exact)
138  const double hc_mev_cm=hc_mev_fm*1.0e-13;
139 }
140 
141 /** \brief Constants in CGS units
142 
143  CODATA 2018 values are from physics.nist.gov/constants.
144  CODATA 2014 values are from \ref Mohr16 . The solar mass and solar
145  mass parameter are from 2018 value at http://asa.usno.navy.mil/ .
146 
147 */
148 namespace o2scl_cgs {
149 
150  /// \name Fundamental constants
151  //@{
152  /// Speed of light in \f$ \mathrm{cm}/\mathrm{s} \f$ (exact)
153  const double speed_of_light=2.99792458e10;
154  /// Newtonian constant of gravitation in cm^3 / g s^2 (CODATA 2018 value)
155  const double gravitational_constant=6.67430e-8;
156  /// Planck constant in g cm^2 / s (CODATA 2018 value; exact)
157  const double plancks_constant_h=6.62607015e-27;
158  /// Planck constant divided by 2 pi in g cm^2 / s (derived)
160  2.0/o2scl_const::pi;
161  /// Electron volt in g cm^2 / s^2 (CODATA 2018; exact)
162  const double electron_volt=1.602176634e-12;
163  /// Boltzmann constant in g cm^2 / K s^2 (CODATA 2018; exact)
164  const double boltzmann=1.380649e-16;
165  /// Bohr radius in cm (CODATA 2018 value)
166  const double bohr_radius=5.29177210903e-9;
167  /// Stefan-Boltzmann constant in g / K^4 s^3 (CODATA 2018; derived; exact)
173 
174  /// Thomson cross section in cm^2 (CODATA 2018 value)
175  const double thomson_cross_section=6.6524587321e-25;
176  /** \brief Fermi coupling constant in s^4 / cm^4 g^2,
177  defined as \f$ 1.1663787 \times 10^{-5}~\mathrm{GeV}^{-2} \f$
178  (CODATA 2018 value)
179  */
180  const double Gfermi=1.1663787e-23/o2scl_cgs::electron_volt/
182  //@}
183 
184  /// \name Astrophysical constants
185  //@{
186  /// Astronomical unit in cm (IAU 2009 value; now exact)
187  const double astronomical_unit=1.495978707e13;
188  /// Parsec in \f$ \mathrm{cm} \f$ (derived)
190  /// Acccleration due to gravity in cm / s^2 (CODATA 2018; now exact)
191  const double grav_accel=9.80665e2;
192  /** \brief Solar mass times gravitational constant in cm^3 / s^2
193  (from navy.mil)
194  */
195  const double solar_mass_parameter=1.32712441e26;
196  /// Mass of the sun in g (from navy.mil)
197  const double solar_mass=1.9884e33;
198  /// Schwarzchild radius in cm (derived)
201  /// Sidereal year in s
202  const double sidereal_year=365.256363004*8.64e4;
203  /// Tropical year in s
204  const double tropical_year=365.242190402*8.64e4;
205  /// Julian year in s
206  const double julian_year=365.25*8.64e4;
207  /// Light year in \f$ \mathrm{cm} \f$ (derived)
209  //@}
210 
211  /// \name Particle masses
212  //@{
213  /// Electron mass in g (CODATA 2018 value)
214  const double mass_electron=9.1093837015e-28;
215  /// Muon mass in g (CODATA 2018 value)
216  const double mass_muon=1.883531627e-25;
217  /// Muon mass in g (CODATA 2018 value)
218  const double mass_tau=3.16754e-24;
219  /// Proton mass in g (CODATA 2018 value)
220  const double mass_proton=1.67262192369e-24;
221  /// Neutron mass in g (CODATA 2018 value)
222  const double mass_neutron=1.67492749804e-24;
223  //@}
224 
225  /// \name Nuclear masses
226  //@{
227  /// Deuteron mass in kg (CODATA 2018 value)
228  const double mass_deuteron=3.3435837724e-24;
229  /// Triton mass in kg (CODATA 2014 value)
230  const double mass_triton=5.007356665e-24;
231  /// Helion mass in kg (CODATA 2014 value)
232  const double mass_helion=5.006412700e-24;
233  /// Alpha particle mass in kg (CODATA 2014 value)
234  const double mass_alpha=6.64465723e-24;
235  /// Atomic mass constant in g (CODATA 2018 value)
236  const double unified_atomic_mass=1.6605390666e-24;
237  //@}
238 
239  /// \name Chemical constants
240  //@{
241  /// Rydberg constant in g cm^2 / s^2 (CODATA 2018 value)
242  const double rydberg=2.1798723611035e-11;
243  /** \brief Molar gas constant, "R", in g cm^2 / K mol s^2
244  (CODATA 2018; exact; derived)
245  */
247  /** \brief Molar volume of ideal gas at standard T and P in
248  cm^3 / mol (CODATA 2014 value)
249  */
250  const double standard_gas_volume=2.2710947e4;
251  //@}
252 
253  /// \name Unit conversions
254  //@{
255  /// s
256  const double minute=6e1;
257  /// s
258  const double hour=3.6e3;
259  /// s
260  const double day=8.64e4;
261  /// s
262  const double week=6.048e5;
263  /// cm
264  const double inch=2.54e0;
265  /// cm
266  const double foot=3.048e1;
267  /// cm
268  const double yard=9.144e1;
269  /// cm
270  const double mile=1.609344e5;
271  /// cm
272  const double nautical_mile=1.852e5;
273  /// cm
274  const double fathom=1.8288e2;
275  /// cm
276  const double mil=2.54e-3;
277  /// cm
278  const double point=3175.0/90000.0;
279  /// cm
280  const double texpoint=3.51459803515e-2;
281  /// cm
282  const double micron=1e-4;
283  /// cm
284  const double angstrom=1e-8;
285  /// cm^2
286  const double hectare=1e8;
287  /// cm^2
288  const double acre=4.04685642241e7;
289  /// cm^2
290  const double barn=1e-24;
291  /// cm^3
292  const double liter=1e3;
293  /// cm^3
294  const double us_gallon=3.78541178402e3;
295  /// cm^3
296  const double quart=9.46352946004e2;
297  /// cm^3
298  const double pint=4.73176473002e2;
299  /// cm^3
300  const double cup=2.36588236501e2;
301  /// cm^3
302  const double fluid_ounce=2.95735295626e1;
303  /// cm^3
304  const double tablespoon=1.47867647813e1;
305  /// cm^3
306  const double teaspoon=4.92892159375e0;
307  /// cm^3
308  const double canadian_gallon=4.54609e3;
309  /// cm^3
310  const double uk_gallon=4.546092e3;
311  /// cm / s
312  const double miles_per_hour=4.4704e1;
313  /// cm / s
314  const double kilometers_per_hour=250.0/9.0;
315  /// cm / s
316  const double knot=463.0/9.0;
317  /// g
318  const double pound_mass=4.5359237e2;
319  /// g
320  const double ounce_mass=2.8349523125e1;
321  /// g
322  const double ton=9.0718474e5;
323  /// g
324  const double metric_ton=1e6;
325  /// g
326  const double uk_ton=1.0160469088e6;
327  /// g
328  const double troy_ounce=3.1103475e1;
329  /// g
330  const double carat=2e-1;
331  /// cm g / s^2
332  const double gram_force=9.80665e2;
333  /// cm g / s^2
334  const double pound_force=4.44822161526e5;
335  /// cm g / s^2
336  const double kilopound_force=4.44822161526e8;
337  /// cm g / s^2
338  const double poundal=1.38255e4;
339  /// g cm^2 / s^2
340  const double calorie=4.1868e7;
341  /// g cm^2 / s^2
342  const double btu=1.05505585262e10;
343  /// g cm^2 / s^2
344  const double therm=1.05506e15;
345  /// g cm^2 / s^3
346  const double horsepower=7.457e9;
347  /// g / cm s^2
348  const double bar=1e6;
349  /// g / cm s^2
350  const double std_atmosphere=1.01325e6;
351  /// g / cm s^2
352  const double torr=1.33322368421e3;
353  /// g / cm s^2
354  const double meter_of_mercury=1.33322368421e6;
355  /// g / cm s^2
356  const double inch_of_mercury=3.38638815789e4;
357  /// g / cm s^2
358  const double inch_of_water=2.490889e3;
359  /// g / cm s^2
360  const double psi=6.89475729317e4;
361  /// g / cm s
362  const double poise=1e0;
363  /// cm^2 / s
364  const double stokes=1e0;
365  /// cd / cm^2
366  const double stilb=1e0;
367  /// cd sr
368  const double lumen=1e0;
369  /// cd sr / cm^2
370  const double lux=1e-4;
371  /// cd sr / cm^2
372  const double phot=1e0;
373  /// cd sr / cm^2
374  const double footcandle=1.076e-3;
375  /// cd sr / cm^2
376  const double lambert=1e0;
377  /// cd sr / cm^2
378  const double footlambert=1.07639104e-3;
379  /// 1 / s
380  const double curie=3.7e10;
381  /// cm^2 / s^2
382  const double rad=1e2;
383  /// cm g / s^2
384  const double newton=1e5;
385  /// cm g / s^2
386  const double dyne=1e0;
387  /// g cm^2 / s^2
388  const double joule=1e7;
389  /// g cm^2 / s^2
390  const double erg=1e0;
391  //@}
392 
393  /// \name Electromagnetic constants
394  //@{
395  /// A s / g
396  const double roentgen=2.58e-7;
397  //@}
398 
399 }
400 
401 /** \brief Constants in CGSM units
402 
403  Where possible, constants here are defined in terms of the values
404  in \ref o2scl_cgs, in order to make it easier to update these
405  values. See also the documentation at \ref o2scl_cgs .
406 */
407 namespace o2scl_cgsm {
408 
409  /// \name Fundamental constants
410  //@{
411  /// Speed of light in cm / s
413  /// Newtonian constant of gravitation in cm^3 / g s^2
415  /// Planck constant in g cm^2 / s
417  /// Planck constant divided by 2 pi in g cm^2 / s
419  /// Electron volt in g cm^2 / s^2
421  /// Bohr radius in cm
423  /// Stefan-Boltzmann constant in g / K^4 s^3
426  /// Thomson cross section in cm^2
428  /// Fermi coupling constant in s^4 / cm^4 g^2
429  const double Gfermi=o2scl_cgs::Gfermi;
430  /// Boltzmann constant in g cm^2 / K s^2
432  //@}
433 
434  /// \name Astrophysical constants
435  //@{
436  /// Astronomical unit in cm
438  /// Parsec in \f$ \mathrm{cm} \f$
439  const double parsec=o2scl_cgs::parsec;
440  /// Acceleration due to gravity in cm / s^2
442  /// Solar mass times gravitational constant in cm^3 / s^2
444  /// Solar mass in g
446  /// Schwarzchild radius in cm
448  /// Sidereal year in s
450  /// Tropical year in s
452  /// Julian year in s
454  /// Light year in \f$ \mathrm{cm} \f$
456  //@}
457 
458  /// \name Particle masses
459  //@{
460  /// Electron mass in g
462  /// Muon mass in g
464  /// Muon mass in g
466  /// Proton mass in g
468  /// Neutron mass in g
470  //@}
471 
472  /// \name Nuclear masses
473  //@{
474  /// Deuteron mass in g
476  /// Triton mass in g
478  /// Helion mass in g
480  /// Alpha particle mass in g
482  /// Atomic mass constant in g
484  //@}
485 
486  /// \name Chemical constants
487  //@{
488  /// Rydberg constant in g cm^2 / s^2
490  /// Molar gas constant, "R", in g cm^2 / K mol s^2
492  /// Molar volume of ideal gas at standard T and P in cm^3 / mol
494  //@}
495 
496  /// \name Unit conversions
497  //@{
498  /// s
499  const double minute=o2scl_cgs::minute;
500  /// s
501  const double hour=o2scl_cgs::hour;
502  /// s
503  const double day=o2scl_cgs::day;
504  /// s
505  const double week=o2scl_cgs::week;
506  /// cm
507  const double inch=o2scl_cgs::inch;
508  /// cm
509  const double foot=o2scl_cgs::foot;
510  /// cm
511  const double yard=o2scl_cgs::yard;
512  /// cm
513  const double mile=o2scl_cgs::mile;
514  /// cm
516  /// cm
517  const double fathom=o2scl_cgs::fathom;
518  /// cm
519  const double mil=o2scl_cgs::mil;
520  /// cm
521  const double point=o2scl_cgs::point;
522  /// cm
524  /// cm
525  const double micron=o2scl_cgs::micron;
526  /// cm
528  /// cm^2
530  /// cm^2
531  const double acre=o2scl_cgs::acre;
532  /// cm^2
533  const double barn=o2scl_cgs::barn;
534  /// cm^3
535  const double liter=o2scl_cgs::liter;
536  /// cm^3
538  /// cm^3
539  const double quart=o2scl_cgs::quart;
540  /// cm^3
541  const double pint=o2scl_cgs::pint;
542  /// cm^3
543  const double cup=o2scl_cgs::cup;
544  /// cm^3
546  /// cm^3
548  /// cm^3
550  /// cm^3
552  /// cm^3
554  /// cm / s
556  /// cm / s
558  /// cm / s
559  const double knot=o2scl_cgs::knot;
560  /// g
562  /// g
564  /// g
565  const double ton=o2scl_cgs::ton;
566  /// g
568  /// g
569  const double uk_ton=o2scl_cgs::uk_ton;
570  /// g
572  /// g
573  const double carat=o2scl_cgs::carat;
574  /// cm g / s^2
576  /// cm g / s^2
578  /// cm g / s^2
580  /// cm g / s^2
582  /// g cm^2 / s^2
584  /// g cm^2 / s^2
585  const double btu=o2scl_cgs::btu;
586  /// g cm^2 / s^2
587  const double therm=o2scl_cgs::therm;
588  /// g cm^2 / s^3
590  /// g / cm s^2
591  const double bar=o2scl_cgs::bar;
592  /// g / cm s^2
594  /// g / cm s^2
595  const double torr=o2scl_cgs::torr;
596  /// g / cm s^2
598  /// g / cm s^2
600  /// g / cm s^2
602  /// g / cm s^2
603  const double psi=o2scl_cgs::psi;
604  /// g / cm s
605  const double poise=o2scl_cgs::poise;
606  /// cm^2 / s
607  const double stokes=o2scl_cgs::stokes;
608  /// cd / cm^2
609  const double stilb=o2scl_cgs::stilb;
610  /// cd sr
611  const double lumen=o2scl_cgs::lumen;
612  /// cd sr / cm^2
613  const double lux=o2scl_cgs::lux;
614  /// cd sr / cm^2
615  const double phot=o2scl_cgs::phot;
616  /// cd sr / cm^2
618  /// cd sr / cm^2
620  /// cd sr / cm^2
622  /// 1 / s
623  const double curie=o2scl_cgs::curie;
624  /// cm^2 / s^2
625  const double rad=o2scl_cgs::rad;
626  /// cm g / s^2
627  const double newton=o2scl_cgs::newton;
628  /// cm g / s^2
629  const double dyne=o2scl_cgs::dyne;
630  /// g cm^2 / s^2
631  const double joule=o2scl_cgs::joule;
632  /// g cm^2 / s^2
633  const double erg=o2scl_cgs::erg;
634  //@}
635 
636  /// \name Electromagnetic constants
637  //@{
638  /// Electron magnetic moment in abamp cm^2 (CODATA 2014 value)
639  const double electron_magnetic_moment=9.284764620e-21;
640  /// Proton magnetic moment in abamp cm^2 (CODATA 2014 value)
641  const double proton_magnetic_moment=1.4106067873e-23;
642  /// Roentgen abamp s / g
643  const double roentgen=o2scl_cgs::roentgen/10.0;
644  /// Bohr magneton in abamp cm^2 (CODATA 2014 value)
645  const double bohr_magneton=9.274009994e-21;
646  /// Nuclear magneton in abamp cm^2 (CODATA 2014 value)
647  const double nuclear_magneton=5.050783699e-24;
648  /// Faraday constant in abamp s / mol (CODATA 2018 value; derived; exact)
650  /// Electron charge in abamp s (derived)
651  const double electron_charge=electron_volt*1.0e-8;
652  //@}
653 }
654 
655 /** \brief Constants in MKS units
656 
657  Where possible, constants here are defined in terms of the values
658  in \ref o2scl_cgs, in order to make it easier to update these
659  values. See also the documentation at \ref o2scl_cgs .
660 */
661 namespace o2scl_mks {
662 
663  /// \name Fundamental constants
664  //@{
665  /// Speed of light in m / s
667  /// Newtonian constant of gravitation in m^3 / kg s^2
669  /// Planck constant in kg m^2 / s
671  /// Planck constant divided by 2 pi in kg m^2 / s
673  /// Electron volt in kg m^2 / s^2
675  /// Bohr radius in m
677  /// Stefan-Boltzmann constant in kg / K^4 s^3
680  /// Thomson cross section in m^2
682  /// Fermi coupling constant in s^4 / m^4 kg^2
683  const double Gfermi=o2scl_cgs::Gfermi*1.0e14;
684  /// Boltzmann constant in kg m^2 / K s^2
685  const double boltzmann=o2scl_cgs::boltzmann/1.0e7;
686  //@{
687 
688  /// \name Astrophysical constants
689  //@{
690  /// Astronomical unit in m
692  /// Parsec in m
693  const double parsec=o2scl_cgs::parsec/1.0e2;
694  /// Acceleration due to gravity in m / s^2
695  const double grav_accel=o2scl_cgs::grav_accel/1.0e2;
696  /// Solar mass times gravitational constant in m^3 / s^2
698  /// Mass of the sun in kg
699  const double solar_mass=o2scl_cgs::solar_mass/1.0e3;
700  /// Schwarzchild radius in m
702  /// Sidereal year in s
704  /// Tropical year in s
706  /// Julian year in s
708  /// Light year in \f$ \mathrm{m} \f$
709  const double light_year=o2scl_cgs::light_year/1.0e2;
710  //@}
711 
712  /// \name Particle masses
713  //@{
714  /// Electron mass in kg
716  /// Muon mass in kg
717  const double mass_muon=o2scl_cgs::mass_muon/1.0e3;
718  /// Muon mass in kg
719  const double mass_tau=o2scl_cgs::mass_tau/1.0e3;
720  /// Proton mass in kg
722  /// Neutron mass in kg
724  //@}
725 
726  /// \name Nuclear masses
727  //@{
728  /// Deuteron mass in kg
730  /// Triton mass in kg
732  /// Helion mass in kg
734  /// Alpha particle mass in kg
735  const double mass_alpha=o2scl_cgs::mass_alpha/1.0e3;
736  /// Atomic mass constant in kg
738  //@}
739 
740  /// \name Chemical constants
741  //@{
742  /// Rydberg constant in kg m^2 / s^2
743  const double rydberg=o2scl_cgs::rydberg/1.0e7;
744  /// kg m^2 / K mol s^2
745  const double molar_gas=o2scl_cgs::molar_gas/1.0e7;
746  /// m^3 / mol
748  //@}
749 
750  /// \name Unit conversions
751  //@{
752  /// s
753  const double minute=o2scl_cgs::minute;
754  /// s
755  const double hour=o2scl_cgs::hour;
756  /// s
757  const double day=o2scl_cgs::day;
758  /// s
759  const double week=o2scl_cgs::week;
760  /// m
761  const double inch=o2scl_cgs::inch*1.0e-2;
762  /// m
763  const double foot=o2scl_cgs::foot*1.0e-2;
764  /// m
765  const double yard=o2scl_cgs::yard*1.0e-2;
766  /// m
767  const double mile=o2scl_cgs::mile*1.0e-2;
768  /// m
770  /// m
771  const double fathom=o2scl_cgs::fathom*1.0e-2;
772  /// m
773  const double mil=o2scl_cgs::mil*1.0e-2;
774  /// m
775  const double point=o2scl_cgs::point*1.0e-2;
776  /// m
777  const double texpoint=o2scl_cgs::texpoint*1.0e-2;
778  /// m
779  const double micron=o2scl_cgs::micron*1.0e-2;
780  /// m
781  const double angstrom=o2scl_cgs::angstrom*1.0e-2;
782  /// m^2
783  const double hectare=o2scl_cgs::hectare*1.0e-4;
784  /// m^2
785  const double acre=o2scl_cgs::acre*1.0e-4;
786  /// m^2
787  const double barn=o2scl_cgs::barn*1.0e-4;
788  /// m^3
789  const double liter=o2scl_cgs::liter*1.0e-6;
790  /// m^3
791  const double us_gallon=o2scl_cgs::us_gallon*1.0e-6;
792  /// m^3
793  const double quart=o2scl_cgs::quart*1.0e-6;
794  /// m^3
795  const double pint=o2scl_cgs::pint*1.0e-6;
796  /// m^3
797  const double cup=o2scl_cgs::cup*1.0e-6;
798  /// m^3
799  const double fluid_ounce=o2scl_cgs::fluid_ounce*1.0e-6;
800  /// m^3
801  const double tablespoon=o2scl_cgs::tablespoon*1.0e-6;
802  /// m^3
803  const double teaspoon=o2scl_cgs::teaspoon*1.0e-6;
804  /// m^3
806  /// m^3
807  const double uk_gallon=o2scl_cgs::uk_gallon*1.0e-6;
808  /// m / s
810  /// m / s
812  /// m / s
813  const double knot=o2scl_cgs::knot*1.0e-2;
814  /// kg
815  const double pound_mass=o2scl_cgs::pound_mass*1.0e-3;
816  /// kg
817  const double ounce_mass=o2scl_cgs::ounce_mass*1.0e-3;
818  /// kg
819  const double ton=o2scl_cgs::ton*1.0e-3;
820  /// kg
821  const double metric_ton=o2scl_cgs::metric_ton*1.0e-3;
822  /// kg
823  const double uk_ton=o2scl_cgs::uk_ton*1.0e-3;
824  /// kg
825  const double troy_ounce=o2scl_cgs::troy_ounce*1.0e-3;
826  /// kg
827  const double carat=o2scl_cgs::carat*1.0e-3;
828  /// kg m / s^2
829  const double gram_force=o2scl_cgs::gram_force*1.0e-5;
830  /// kg m / s^2
831  const double pound_force=o2scl_cgs::pound_force*1.0e-5;
832  /// kg m / s^2
834  /// kg m / s^2
835  const double poundal=o2scl_cgs::poundal*1.0e-5;
836  /// kg m^2 / s^2
837  const double calorie=o2scl_cgs::calorie*1.0e-7;
838  /// kg m^2 / s^2
839  const double btu=o2scl_cgs::btu*1.0e-7;
840  /// kg m^2 / s^2
841  const double therm=o2scl_cgs::therm*1.0e-7;
842  /// kg m^2 / s^3
843  const double horsepower=o2scl_cgs::horsepower*1.0e-7;
844  /// kg / m s^2
845  const double bar=o2scl_cgs::bar*1.0e-1;
846  /// kg / m s^2
848  /// kg / m s^2
849  const double torr=o2scl_cgs::torr*1.0e-1;
850  /// kg / m s^2
852  /// kg / m s^2
854  /// kg / m s^2
856  /// kg / m s^2
857  const double psi=o2scl_cgs::psi*1.0e-1;
858  /// kg m^-1 s^-1
859  const double poise=o2scl_cgs::poise*1.0e-1;
860  /// m^2 / s
861  const double stokes=o2scl_cgs::stokes*1.0e-4;
862  /// kg / A s^2
863  const double gauss=1.0e-4;
864  /// cd / m^2
865  const double stilb=o2scl_cgs::stilb*1.0e4;
866  /// cd sr
867  const double lumen=o2scl_cgs::lumen;
868  /// cd sr / m^2
869  const double lux=o2scl_cgs::lux*1.0e4;
870  /// cd sr / m^2
871  const double phot=o2scl_cgs::phot*1.0e4;
872  /// cd sr / m^2
873  const double footcandle=o2scl_cgs::footcandle*1.0e4;
874  /// cd sr / m^2
875  const double lambert=o2scl_cgs::lambert*1.0e4;
876  /// cd sr / m^2
878  /// 1 / s
879  const double curie=o2scl_cgs::curie;
880  /// m^2 / s^2
881  const double rad=o2scl_cgs::rad*1.0e-4;
882  /// kg m / s^2
883  const double newton=o2scl_cgs::newton*1.0e-5;
884  /// kg m / s^2
885  const double dyne=o2scl_cgs::dyne*1.0e-5;
886  /// kg m^2 / s^2
887  const double joule=o2scl_cgs::joule*1.0e-7;
888  /// kg m^2 / s^2
889  const double erg=o2scl_cgs::erg*1.0e-7;
890  //@}
891 
892  /// \name ELectromagnetic constants
893  //@{
894  /// A m^2
897  /// A m^2
900  /// A s / kg
901  const double roentgen=o2scl_cgs::roentgen*1.0e3;
902  /// Bohr magneton in A m^2
904  /// A m^2
906  /// A^2 s^4 / kg m^3 (derived)
909  /** \brief Vacuum permeability in kg m / A^2 s^2
910  (being redefined as of 5/20, this value is from Wikipedia)
911  */
912  const double vacuum_permeability=4.0*o2scl_const::pi*1.00000000082e-7;
913  /// A s / mol
914  const double faraday=o2scl_cgsm::faraday*10.0;
915  /// A s (derived)
917  //@}
918 
919 }
920 
921 // Other derived values to add to the namespace
922 namespace o2scl_const {
923 
924  /** \name Squared electron charge
925  */
926  //@{
927  /** \brief Electron charge squared in Gaussian units (derived)
928 
929  In Gaussian Units:
930  \f{eqnarray*}
931  &\vec{\nabla} \cdot \vec{E} = 4 \pi \rho \, ,
932  \quad
933  \vec{E}=-\vec{\nabla} \Phi \, ,
934  \quad
935  \nabla^2 \Phi = - 4 \pi \rho \, ,
936  &\\&
937  F=\frac{q_1 q_2}{r^2} \, ,
938  \quad
939  W=\frac{1}{2} \int \rho V d^3 x
940  =\frac{1}{8 \pi} \int | \vec{E} |^2 d^3 x \, ,
941  \quad
942  \alpha=\frac{e^2}{\hbar c}=\frac{1}{137}&
943  \f}
944  */
947 
948  /** \brief Electron charge sqaured in
949  Heaviside-Lorentz units where \f$\hbar=c=1\f$ (derived)
950 
951  In Heaviside-Lorentz units:
952  \f{eqnarray*}
953  &\vec{\nabla} \cdot \vec{E} = \rho \, ,
954  \quad
955  \vec{E}=-\vec{\nabla} \Phi \, ,
956  \quad
957  \nabla^2 \Phi = - \rho \, ,
958  &\\&
959  F=\frac{q_1 q_2}{4 \pi r^2} \, ,
960  \quad
961  W=\frac{1}{2} \int \rho V d^3 x
962  =\frac{1}{2} \int | \vec{E} |^2 d^3 x \, ,
963  \quad
964  \alpha=\frac{e^2}{4 \pi}=\frac{1}{137}&
965  \f}
966  */
968 
969  /** \brief Electron charge squared in SI(MKS) units (derived)
970 
971  In MKS units:
972  \f{eqnarray*}
973  &\vec{\nabla} \cdot \vec{E} = \rho \, ,
974  \quad
975  \vec{E}=-\vec{\nabla} \Phi \, ,
976  \quad
977  \nabla^2 \Phi = - \rho \, ,
978  &\\&
979  F=\frac{1}{4 \pi \varepsilon_0}\frac{q_1 q_2}{r^2} \, ,
980  \quad
981  W=\frac{1}{2} \int \rho V d^3 x
982  =\frac{\varepsilon_0}{2} \int | \vec{E} |^2 d^3 x \, ,
983  \quad
984  \alpha=\frac{e^2}{4 \pi \varepsilon_0 \hbar c}=\frac{1}{137}&
985  \f}
986 
987  Note the conversion formulas
988  \f[
989  q_HL=\sqrt{4 \pi} q_G = \frac{1}{\sqrt{\varepsilon_0}} q_{SI}
990  \f]
991  as mentioned, e.g. in pg. 13 of D. Griffiths Intro to Elem. Particles.
992  */
994  //@}
995 
996  /** \brief 1 \f$\mathrm{Gauss}\f$ times the electron charge
997  in Gaussian units in \f$\mathrm{fm}^{-2}\f$
998  */
1001 
1002  /** \brief Conversion factor from \f$ \mathrm{Gauss}^2 \f$ to
1003  \f$\mathrm{fm}^{-4}\f$ in Gaussian units.
1004 
1005  This is useful, e.g. in converting magnetic field squared
1006  to an energy density.
1007  */
1010 
1011  /// \name Particle masses from PDG (4/30/19)
1012  //@{
1013  /** \brief \f$ \Lambda \f$ hyperon mass in \f$ \mathrm{MeV} \f$
1014  */
1015  const double mass_lambda_MeV=1115.683;
1016 
1017  /** \brief \f$ \Sigma^{-} \f$ hyperon mass in \f$ \mathrm{MeV} \f$
1018  */
1019  const double mass_sigma_minus_MeV=1197.449;
1020 
1021  /** \brief \f$ \Sigma^{0} \f$ hyperon mass in \f$ \mathrm{MeV} \f$
1022  */
1023  const double mass_sigma_zero_MeV=1192.642;
1024 
1025  /** \brief \f$ \Sigma^{+} \f$ hyperon mass in \f$ \mathrm{MeV} \f$
1026  */
1027  const double mass_sigma_plus_MeV=1189.37;
1028 
1029  /** \brief \f$ \Xi^{0} \f$ hyperon mass in \f$ \mathrm{MeV} \f$
1030  */
1031  const double mass_cascade_zero_MeV=1314.86;
1032 
1033  /** \brief \f$ \Xi^{-} \f$ hyperon mass in \f$ \mathrm{MeV} \f$
1034  */
1035  const double mass_cascade_minus_MeV=1321.71;
1036 
1037  /** \brief Up quark mass in \f$ \mathrm{MeV} \f$
1038  */
1039  const double mass_up_MeV=2.2;
1040 
1041  /** \brief Down quark mass in \f$ \mathrm{MeV} \f$
1042  */
1043  const double mass_down_MeV=4.7;
1044 
1045  /** \brief Strange quark mass in \f$ \mathrm{MeV} \f$
1046  */
1047  const double mass_strange_MeV=95.0;
1048  //@}
1049 }
1050 
1051 
1052 #endif
o2scl_const::hc_mev_cm
const double hc_mev_cm
in MeV cm (exact)
Definition: constants.h:138
o2scl_mks::parsec
const double parsec
Parsec in m.
Definition: constants.h:693
o2scl_cgs::inch_of_mercury
const double inch_of_mercury
g / cm s^2
Definition: constants.h:356
o2scl_mks::cup
const double cup
m^3
Definition: constants.h:797
o2scl_cgsm::psi
const double psi
g / cm s^2
Definition: constants.h:603
o2scl_cgs::boltzmann
const double boltzmann
Boltzmann constant in g cm^2 / K s^2 (CODATA 2018; exact)
Definition: constants.h:164
o2scl_cgs::plancks_constant_h
const double plancks_constant_h
Planck constant in g cm^2 / s (CODATA 2018 value; exact)
Definition: constants.h:157
o2scl_cgs::rad
const double rad
cm^2 / s^2
Definition: constants.h:382
o2scl_cgs::horsepower
const double horsepower
g cm^2 / s^3
Definition: constants.h:346
o2scl_cgsm::week
const double week
s
Definition: constants.h:505
o2scl_cgsm::roentgen
const double roentgen
Roentgen abamp s / g.
Definition: constants.h:643
o2scl_mks::electron_volt
const double electron_volt
Electron volt in kg m^2 / s^2.
Definition: constants.h:674
o2scl_cgsm::light_year
const double light_year
Light year in .
Definition: constants.h:455
o2scl_mks::uk_ton
const double uk_ton
kg
Definition: constants.h:823
o2scl_mks::texpoint
const double texpoint
m
Definition: constants.h:777
o2scl_cgsm::footcandle
const double footcandle
cd sr / cm^2
Definition: constants.h:617
o2scl_mks::kilometers_per_hour
const double kilometers_per_hour
m / s
Definition: constants.h:811
o2scl_mks::grav_accel
const double grav_accel
Acceleration due to gravity in m / s^2.
Definition: constants.h:695
o2scl_cgsm::mile
const double mile
cm
Definition: constants.h:513
o2scl_cgsm::angstrom
const double angstrom
cm
Definition: constants.h:527
o2scl_const::gauss2_fm4
const double gauss2_fm4
Conversion factor from to in Gaussian units.
Definition: constants.h:1008
o2scl_cgs::therm
const double therm
g cm^2 / s^2
Definition: constants.h:344
o2scl_cgs::quart
const double quart
cm^3
Definition: constants.h:296
o2scl_mks::erg
const double erg
kg m^2 / s^2
Definition: constants.h:889
o2scl_mks::tablespoon
const double tablespoon
m^3
Definition: constants.h:801
o2scl_cgsm::liter
const double liter
cm^3
Definition: constants.h:535
o2scl_const::mass_sigma_plus_MeV
const double mass_sigma_plus_MeV
hyperon mass in
Definition: constants.h:1027
o2scl_cgsm::joule
const double joule
g cm^2 / s^2
Definition: constants.h:631
o2scl_cgsm::yard
const double yard
cm
Definition: constants.h:511
o2scl_cgs::day
const double day
s
Definition: constants.h:260
o2scl_cgs::rydberg
const double rydberg
Rydberg constant in g cm^2 / s^2 (CODATA 2018 value)
Definition: constants.h:242
o2scl_const
Constants.
Definition: constants.h:38
o2scl_cgsm::curie
const double curie
1 / s
Definition: constants.h:623
o2scl_cgsm::ton
const double ton
g
Definition: constants.h:565
o2scl_mks::minute
const double minute
s
Definition: constants.h:753
o2scl_cgs::acre
const double acre
cm^2
Definition: constants.h:288
o2scl_cgs::light_year
const double light_year
Light year in (derived)
Definition: constants.h:208
o2scl_cgs::teaspoon
const double teaspoon
cm^3
Definition: constants.h:306
o2scl_mks::proton_magnetic_moment
const double proton_magnetic_moment
A m^2.
Definition: constants.h:898
o2scl_mks::pound_mass
const double pound_mass
kg
Definition: constants.h:815
o2scl_const::pi2
const double pi2
Definition: constants.h:67
o2scl_mks::uk_gallon
const double uk_gallon
m^3
Definition: constants.h:807
o2scl_cgs::mass_muon
const double mass_muon
Muon mass in g (CODATA 2018 value)
Definition: constants.h:216
o2scl_cgsm::mass_neutron
const double mass_neutron
Neutron mass in g.
Definition: constants.h:469
o2scl_cgsm::stilb
const double stilb
cd / cm^2
Definition: constants.h:609
o2scl_const::mass_up_MeV
const double mass_up_MeV
Up quark mass in .
Definition: constants.h:1039
o2scl_cgsm::unified_atomic_mass
const double unified_atomic_mass
Atomic mass constant in g.
Definition: constants.h:483
o2scl_cgs::canadian_gallon
const double canadian_gallon
cm^3
Definition: constants.h:308
o2scl_cgs::nautical_mile
const double nautical_mile
cm
Definition: constants.h:272
o2scl_mks::stilb
const double stilb
cd / m^2
Definition: constants.h:865
o2scl_cgsm::solar_mass
const double solar_mass
Solar mass in g.
Definition: constants.h:445
o2scl_mks::newton
const double newton
kg m / s^2
Definition: constants.h:883
o2scl_cgsm::mass_tau
const double mass_tau
Muon mass in g.
Definition: constants.h:465
o2scl_cgs::mil
const double mil
cm
Definition: constants.h:276
o2scl_cgsm::plancks_constant_h
const double plancks_constant_h
Planck constant in g cm^2 / s.
Definition: constants.h:416
o2scl_cgsm::pint
const double pint
cm^3
Definition: constants.h:541
o2scl_const::hbar_f
fp_t hbar_f(size_t system=o2scl_mks)
Reduced Planck constant.
Definition: constants.h:102
o2scl_cgs::mass_proton
const double mass_proton
Proton mass in g (CODATA 2018 value)
Definition: constants.h:220
o2scl_cgsm::hour
const double hour
s
Definition: constants.h:501
o2scl_const::avogadro
const double avogadro
Avogadro's number (CODATA 2018 value; exact)
Definition: constants.h:62
o2scl_cgsm::poise
const double poise
g / cm s
Definition: constants.h:605
o2scl_mks::astronomical_unit
const double astronomical_unit
Astronomical unit in m.
Definition: constants.h:691
o2scl_mks::inch
const double inch
m
Definition: constants.h:761
o2scl_cgs::metric_ton
const double metric_ton
g
Definition: constants.h:324
o2scl_cgs::joule
const double joule
g cm^2 / s^2
Definition: constants.h:388
o2scl_mks::standard_gas_volume
const double standard_gas_volume
m^3 / mol
Definition: constants.h:747
o2scl_mks::quart
const double quart
m^3
Definition: constants.h:793
o2scl_cgs::pound_force
const double pound_force
cm g / s^2
Definition: constants.h:334
o2scl_cgs::tablespoon
const double tablespoon
cm^3
Definition: constants.h:304
o2scl_mks::angstrom
const double angstrom
m
Definition: constants.h:781
o2scl_cgs::week
const double week
s
Definition: constants.h:262
o2scl_const::e2_gaussian
const double e2_gaussian
Electron charge squared in Gaussian units (derived)
Definition: constants.h:945
o2scl_cgs::uk_gallon
const double uk_gallon
cm^3
Definition: constants.h:310
o2scl_const::planck_f
fp_t planck_f(size_t system=o2scl_mks)
Planck constant.
Definition: constants.h:90
o2scl_mks::therm
const double therm
kg m^2 / s^2
Definition: constants.h:841
o2scl_cgsm::mass_muon
const double mass_muon
Muon mass in g.
Definition: constants.h:463
o2scl_cgs::cup
const double cup
cm^3
Definition: constants.h:300
o2scl_mks::point
const double point
m
Definition: constants.h:775
o2scl_mks::gram_force
const double gram_force
kg m / s^2
Definition: constants.h:829
o2scl_const::pi
const double pi
Definition: constants.h:65
o2scl_cgsm::pound_force
const double pound_force
cm g / s^2
Definition: constants.h:577
o2scl_mks::ounce_mass
const double ounce_mass
kg
Definition: constants.h:817
o2scl_mks::ton
const double ton
kg
Definition: constants.h:819
o2scl_cgs::mass_helion
const double mass_helion
Helion mass in kg (CODATA 2014 value)
Definition: constants.h:232
o2scl_cgs::molar_gas
const double molar_gas
Molar gas constant, "R", in g cm^2 / K mol s^2 (CODATA 2018; exact; derived)
Definition: constants.h:246
o2scl_cgs::mass_alpha
const double mass_alpha
Alpha particle mass in kg (CODATA 2014 value)
Definition: constants.h:234
o2scl_cgs::liter
const double liter
cm^3
Definition: constants.h:292
o2scl_cgsm::astronomical_unit
const double astronomical_unit
Astronomical unit in cm.
Definition: constants.h:437
o2scl_cgsm::bohr_magneton
const double bohr_magneton
Bohr magneton in abamp cm^2 (CODATA 2014 value)
Definition: constants.h:645
o2scl_cgs::lumen
const double lumen
cd sr
Definition: constants.h:368
o2scl_mks::miles_per_hour
const double miles_per_hour
m / s
Definition: constants.h:809
o2scl_mks::electron_magnetic_moment
const double electron_magnetic_moment
A m^2.
Definition: constants.h:895
o2scl_mks::mass_electron
const double mass_electron
Electron mass in kg.
Definition: constants.h:715
o2scl_mks::gauss
const double gauss
kg / A s^2
Definition: constants.h:863
o2scl_mks::unified_atomic_mass
const double unified_atomic_mass
Atomic mass constant in kg.
Definition: constants.h:737
o2scl_mks::fluid_ounce
const double fluid_ounce
m^3
Definition: constants.h:799
o2scl_cgsm::mil
const double mil
cm
Definition: constants.h:519
o2scl_cgs::footcandle
const double footcandle
cd sr / cm^2
Definition: constants.h:374
o2scl_const::mass_down_MeV
const double mass_down_MeV
Down quark mass in .
Definition: constants.h:1043
o2scl_cgsm::newton
const double newton
cm g / s^2
Definition: constants.h:627
o2scl_cgs::carat
const double carat
g
Definition: constants.h:330
o2scl_cgsm::fluid_ounce
const double fluid_ounce
cm^3
Definition: constants.h:545
o2scl_cgsm::fathom
const double fathom
cm
Definition: constants.h:517
o2scl_mks::std_atmosphere
const double std_atmosphere
kg / m s^2
Definition: constants.h:847
o2scl_mks::curie
const double curie
1 / s
Definition: constants.h:879
o2scl_cgs::troy_ounce
const double troy_ounce
g
Definition: constants.h:328
o2scl_cgsm::sidereal_year
const double sidereal_year
Sidereal year in s.
Definition: constants.h:449
o2scl_mks::rydberg
const double rydberg
Rydberg constant in kg m^2 / s^2.
Definition: constants.h:743
o2scl_cgs::hectare
const double hectare
cm^2
Definition: constants.h:286
o2scl_cgs::mass_electron
const double mass_electron
Electron mass in g (CODATA 2018 value)
Definition: constants.h:214
o2scl_cgs::us_gallon
const double us_gallon
cm^3
Definition: constants.h:294
o2scl_mks::btu
const double btu
kg m^2 / s^2
Definition: constants.h:839
o2scl_mks::thomson_cross_section
const double thomson_cross_section
Thomson cross section in m^2.
Definition: constants.h:681
o2scl_mks::knot
const double knot
m / s
Definition: constants.h:813
o2scl_mks::carat
const double carat
kg
Definition: constants.h:827
o2scl_cgsm::standard_gas_volume
const double standard_gas_volume
Molar volume of ideal gas at standard T and P in cm^3 / mol.
Definition: constants.h:493
o2scl_cgsm::horsepower
const double horsepower
g cm^2 / s^3
Definition: constants.h:589
o2scl_cgsm::dyne
const double dyne
cm g / s^2
Definition: constants.h:629
o2scl_cgsm::foot
const double foot
cm
Definition: constants.h:509
o2scl_mks::tropical_year
const double tropical_year
Tropical year in s.
Definition: constants.h:705
o2scl_mks::julian_year
const double julian_year
Julian year in s.
Definition: constants.h:707
o2scl_cgsm::phot
const double phot
cd sr / cm^2
Definition: constants.h:615
o2scl_cgsm::nuclear_magneton
const double nuclear_magneton
Nuclear magneton in abamp cm^2 (CODATA 2014 value)
Definition: constants.h:647
o2scl_cgsm::boltzmann
const double boltzmann
Boltzmann constant in g cm^2 / K s^2.
Definition: constants.h:431
o2scl_cgsm::ounce_mass
const double ounce_mass
g
Definition: constants.h:563
o2scl_mks::bohr_magneton
const double bohr_magneton
Bohr magneton in A m^2.
Definition: constants.h:903
o2scl_mks::mass_helion
const double mass_helion
Helion mass in kg.
Definition: constants.h:733
o2scl_mks::boltzmann
const double boltzmann
Boltzmann constant in kg m^2 / K s^2.
Definition: constants.h:685
o2scl_mks::lux
const double lux
cd sr / m^2
Definition: constants.h:869
o2scl_mks::solar_mass_parameter
const double solar_mass_parameter
Solar mass times gravitational constant in m^3 / s^2.
Definition: constants.h:697
o2scl_cgs::gram_force
const double gram_force
cm g / s^2
Definition: constants.h:332
o2scl_cgsm::stokes
const double stokes
cm^2 / s
Definition: constants.h:607
o2scl_mks::schwarzchild_radius
const double schwarzchild_radius
Schwarzchild radius in m.
Definition: constants.h:701
o2scl_cgsm::btu
const double btu
g cm^2 / s^2
Definition: constants.h:585
o2scl_cgs::Gfermi
const double Gfermi
Fermi coupling constant in s^4 / cm^4 g^2, defined as (CODATA 2018 value)
Definition: constants.h:180
o2scl_cgsm::carat
const double carat
g
Definition: constants.h:573
o2scl_cgs::sidereal_year
const double sidereal_year
Sidereal year in s.
Definition: constants.h:202
o2scl_const::speed_of_light_f
fp_t speed_of_light_f(size_t system=o2scl_mks)
Speed of light.
Definition: constants.h:108
o2scl_cgsm::uk_gallon
const double uk_gallon
cm^3
Definition: constants.h:553
o2scl_cgs::foot
const double foot
cm
Definition: constants.h:266
o2scl_const::e2_hlorentz
const double e2_hlorentz
Electron charge sqaured in Heaviside-Lorentz units where (derived)
Definition: constants.h:967
o2scl_cgs::point
const double point
cm
Definition: constants.h:278
o2scl_cgsm::electron_magnetic_moment
const double electron_magnetic_moment
Electron magnetic moment in abamp cm^2 (CODATA 2014 value)
Definition: constants.h:639
o2scl_cgsm::lux
const double lux
cd sr / cm^2
Definition: constants.h:613
o2scl_mks::light_year
const double light_year
Light year in .
Definition: constants.h:709
o2scl_const::zeta32
const double zeta32
Definition: constants.h:69
o2scl_cgsm::meter_of_mercury
const double meter_of_mercury
g / cm s^2
Definition: constants.h:597
o2scl_cgsm::torr
const double torr
g / cm s^2
Definition: constants.h:595
o2scl_mks::troy_ounce
const double troy_ounce
kg
Definition: constants.h:825
o2scl_mks::electron_charge
const double electron_charge
A s (derived)
Definition: constants.h:916
o2scl_mks::molar_gas
const double molar_gas
kg m^2 / K mol s^2
Definition: constants.h:745
o2scl_mks::inch_of_water
const double inch_of_water
kg / m s^2
Definition: constants.h:855
o2scl_cgs::inch_of_water
const double inch_of_water
g / cm s^2
Definition: constants.h:358
o2scl_mks::mass_muon
const double mass_muon
Muon mass in kg.
Definition: constants.h:717
o2scl_const::fine_structure
const double fine_structure
Fine structure constant (CODATA 2018 value)
Definition: constants.h:59
o2scl_cgsm::miles_per_hour
const double miles_per_hour
cm / s
Definition: constants.h:555
o2scl_cgsm::electron_volt
const double electron_volt
Electron volt in g cm^2 / s^2.
Definition: constants.h:420
o2scl_cgs::ounce_mass
const double ounce_mass
g
Definition: constants.h:320
o2scl_cgs::unified_atomic_mass
const double unified_atomic_mass
Atomic mass constant in g (CODATA 2018 value)
Definition: constants.h:236
o2scl_cgsm::erg
const double erg
g cm^2 / s^2
Definition: constants.h:633
o2scl_cgs::micron
const double micron
cm
Definition: constants.h:282
o2scl_mks::pint
const double pint
m^3
Definition: constants.h:795
o2scl_mks::plancks_constant_hbar
const double plancks_constant_hbar
Planck constant divided by 2 pi in kg m^2 / s.
Definition: constants.h:672
o2scl_cgsm::lambert
const double lambert
cd sr / cm^2
Definition: constants.h:619
o2scl_cgs::bar
const double bar
g / cm s^2
Definition: constants.h:348
o2scl_cgs::bohr_radius
const double bohr_radius
Bohr radius in cm (CODATA 2018 value)
Definition: constants.h:166
o2scl_cgsm::troy_ounce
const double troy_ounce
g
Definition: constants.h:571
o2scl_cgs::mass_neutron
const double mass_neutron
Neutron mass in g (CODATA 2018 value)
Definition: constants.h:222
o2scl_cgs::hour
const double hour
s
Definition: constants.h:258
o2scl_cgs::mass_tau
const double mass_tau
Muon mass in g (CODATA 2018 value)
Definition: constants.h:218
o2scl_cgsm::solar_mass_parameter
const double solar_mass_parameter
Solar mass times gravitational constant in cm^3 / s^2.
Definition: constants.h:443
o2scl_cgsm::plancks_constant_hbar
const double plancks_constant_hbar
Planck constant divided by 2 pi in g cm^2 / s.
Definition: constants.h:418
o2scl_cgsm::poundal
const double poundal
cm g / s^2
Definition: constants.h:581
o2scl_mks::faraday
const double faraday
A s / mol.
Definition: constants.h:914
o2scl_cgsm::rydberg
const double rydberg
Rydberg constant in g cm^2 / s^2.
Definition: constants.h:489
o2scl_cgs::electron_volt
const double electron_volt
Electron volt in g cm^2 / s^2 (CODATA 2018; exact)
Definition: constants.h:162
o2scl_const::mass_strange_MeV
const double mass_strange_MeV
Strange quark mass in .
Definition: constants.h:1047
o2scl_cgs::phot
const double phot
cd sr / cm^2
Definition: constants.h:372
o2scl_mks::mile
const double mile
m
Definition: constants.h:767
o2scl_cgsm::gram_force
const double gram_force
cm g / s^2
Definition: constants.h:575
o2scl_cgs::yard
const double yard
cm
Definition: constants.h:268
o2scl_cgs::poundal
const double poundal
cm g / s^2
Definition: constants.h:338
o2scl_cgsm::schwarzchild_radius
const double schwarzchild_radius
Schwarzchild radius in cm.
Definition: constants.h:447
o2scl_mks::week
const double week
s
Definition: constants.h:759
o2scl_mks::pound_force
const double pound_force
kg m / s^2
Definition: constants.h:831
o2scl_cgsm::julian_year
const double julian_year
Julian year in s.
Definition: constants.h:453
o2scl_mks::solar_mass
const double solar_mass
Mass of the sun in kg.
Definition: constants.h:699
o2scl_cgsm::pound_mass
const double pound_mass
g
Definition: constants.h:561
o2scl_cgs::std_atmosphere
const double std_atmosphere
g / cm s^2
Definition: constants.h:350
o2scl_const::hc_mev_fm
const double hc_mev_fm
in MeV fm (exact)
Definition: constants.h:135
o2scl_cgs::miles_per_hour
const double miles_per_hour
cm / s
Definition: constants.h:312
o2scl_cgsm::stefan_boltzmann_constant
const double stefan_boltzmann_constant
Stefan-Boltzmann constant in g / K^4 s^3.
Definition: constants.h:424
o2scl_cgsm::acre
const double acre
cm^2
Definition: constants.h:531
o2scl_cgsm::teaspoon
const double teaspoon
cm^3
Definition: constants.h:549
o2scl_cgsm::knot
const double knot
cm / s
Definition: constants.h:559
o2scl_cgsm::kilometers_per_hour
const double kilometers_per_hour
cm / s
Definition: constants.h:557
o2scl_cgsm::texpoint
const double texpoint
cm
Definition: constants.h:523
o2scl_mks::hour
const double hour
s
Definition: constants.h:755
o2scl_cgs::fathom
const double fathom
cm
Definition: constants.h:274
o2scl_mks::hectare
const double hectare
m^2
Definition: constants.h:783
o2scl_mks::bar
const double bar
kg / m s^2
Definition: constants.h:845
o2scl_mks::nuclear_magneton
const double nuclear_magneton
A m^2.
Definition: constants.h:905
o2scl_mks::calorie
const double calorie
kg m^2 / s^2
Definition: constants.h:837
o2scl_mks::footlambert
const double footlambert
cd sr / m^2
Definition: constants.h:877
o2scl_mks::stokes
const double stokes
m^2 / s
Definition: constants.h:861
o2scl_cgs::pint
const double pint
cm^3
Definition: constants.h:298
o2scl_cgs::uk_ton
const double uk_ton
g
Definition: constants.h:326
o2scl_mks::inch_of_mercury
const double inch_of_mercury
kg / m s^2
Definition: constants.h:853
o2scl_cgsm::bohr_radius
const double bohr_radius
Bohr radius in cm.
Definition: constants.h:422
o2scl_cgsm::hectare
const double hectare
cm^2
Definition: constants.h:529
o2scl_const::mass_sigma_minus_MeV
const double mass_sigma_minus_MeV
hyperon mass in
Definition: constants.h:1019
o2scl_const::zeta3
const double zeta3
Definition: constants.h:75
o2scl_cgs::solar_mass_parameter
const double solar_mass_parameter
Solar mass times gravitational constant in cm^3 / s^2 (from navy.mil)
Definition: constants.h:195
o2scl_mks::mass_neutron
const double mass_neutron
Neutron mass in kg.
Definition: constants.h:723
o2scl_cgs::lambert
const double lambert
cd sr / cm^2
Definition: constants.h:376
o2scl_const::sin2_theta_weak
const double sin2_theta_weak
(PDG 2018 value)
Definition: constants.h:82
o2scl_cgsm::lumen
const double lumen
cd sr
Definition: constants.h:611
o2scl_mks::mass_deuteron
const double mass_deuteron
Deuteron mass in kg.
Definition: constants.h:729
o2scl_mks::kilopound_force
const double kilopound_force
kg m / s^2
Definition: constants.h:833
o2scl_mks::vacuum_permeability
const double vacuum_permeability
Vacuum permeability in kg m / A^2 s^2 (being redefined as of 5/20, this value is from Wikipedia)
Definition: constants.h:912
o2scl_const::mass_cascade_minus_MeV
const double mass_cascade_minus_MeV
hyperon mass in
Definition: constants.h:1035
o2scl_cgs::ton
const double ton
g
Definition: constants.h:322
o2scl_mks::mil
const double mil
m
Definition: constants.h:773
o2scl_cgsm
Constants in CGSM units.
Definition: constants.h:407
o2scl_mks::lambert
const double lambert
cd sr / m^2
Definition: constants.h:875
o2scl_mks::gravitational_constant
const double gravitational_constant
Newtonian constant of gravitation in m^3 / kg s^2.
Definition: constants.h:668
o2scl_cgs::mass_triton
const double mass_triton
Triton mass in kg (CODATA 2014 value)
Definition: constants.h:230
o2scl_cgs::mile
const double mile
cm
Definition: constants.h:270
o2scl_cgsm::calorie
const double calorie
g cm^2 / s^2
Definition: constants.h:583
o2scl_mks
Constants in MKS units.
Definition: constants.h:661
o2scl_mks::mass_alpha
const double mass_alpha
Alpha particle mass in kg.
Definition: constants.h:735
o2scl_cgsm::canadian_gallon
const double canadian_gallon
cm^3
Definition: constants.h:551
o2scl_cgsm::grav_accel
const double grav_accel
Acceleration due to gravity in cm / s^2.
Definition: constants.h:441
o2scl_cgs::angstrom
const double angstrom
cm
Definition: constants.h:284
o2scl_mks::vacuum_permittivity
const double vacuum_permittivity
A^2 s^4 / kg m^3 (derived)
Definition: constants.h:907
o2scl_mks::rad
const double rad
m^2 / s^2
Definition: constants.h:881
o2scl_cgsm::electron_charge
const double electron_charge
Electron charge in abamp s (derived)
Definition: constants.h:651
o2scl_mks::bohr_radius
const double bohr_radius
Bohr radius in m.
Definition: constants.h:676
o2scl_cgsm::std_atmosphere
const double std_atmosphere
g / cm s^2
Definition: constants.h:593
o2scl_cgs::schwarzchild_radius
const double schwarzchild_radius
Schwarzchild radius in cm (derived)
Definition: constants.h:199
o2scl_mks::mass_proton
const double mass_proton
Proton mass in kg.
Definition: constants.h:721
o2scl_cgsm::inch_of_mercury
const double inch_of_mercury
g / cm s^2
Definition: constants.h:599
o2scl_const::elem_charge_f
fp_t elem_charge_f()
Elementary charge.
Definition: constants.h:118
o2scl_mks::foot
const double foot
m
Definition: constants.h:763
o2scl_mks::acre
const double acre
m^2
Definition: constants.h:785
o2scl_cgs::texpoint
const double texpoint
cm
Definition: constants.h:280
o2scl_cgs::thomson_cross_section
const double thomson_cross_section
Thomson cross section in cm^2 (CODATA 2018 value)
Definition: constants.h:175
o2scl_cgs::inch
const double inch
cm
Definition: constants.h:264
o2scl_cgsm::metric_ton
const double metric_ton
g
Definition: constants.h:567
o2scl_cgs::stokes
const double stokes
cm^2 / s
Definition: constants.h:364
o2scl_cgsm::mass_deuteron
const double mass_deuteron
Deuteron mass in g.
Definition: constants.h:475
o2scl_mks::roentgen
const double roentgen
A s / kg.
Definition: constants.h:901
o2scl_cgs::dyne
const double dyne
cm g / s^2
Definition: constants.h:386
o2scl_cgs::kilopound_force
const double kilopound_force
cm g / s^2
Definition: constants.h:336
o2scl_mks::meter_of_mercury
const double meter_of_mercury
kg / m s^2
Definition: constants.h:851
o2scl_cgsm::nautical_mile
const double nautical_mile
cm
Definition: constants.h:515
o2scl_mks::poise
const double poise
kg m^-1 s^-1
Definition: constants.h:859
o2scl_cgsm::tropical_year
const double tropical_year
Tropical year in s.
Definition: constants.h:451
o2scl_mks::fathom
const double fathom
m
Definition: constants.h:771
o2scl_const::zeta2
const double zeta2
Definition: constants.h:71
o2scl_const::zeta7
const double zeta7
Definition: constants.h:79
o2scl_cgsm::parsec
const double parsec
Parsec in .
Definition: constants.h:439
o2scl_const::mass_sigma_zero_MeV
const double mass_sigma_zero_MeV
hyperon mass in
Definition: constants.h:1023
o2scl_cgsm::quart
const double quart
cm^3
Definition: constants.h:539
o2scl_const::zeta5
const double zeta5
Definition: constants.h:77
o2scl_cgs
Constants in CGS units.
Definition: constants.h:148
o2scl_cgs::kilometers_per_hour
const double kilometers_per_hour
cm / s
Definition: constants.h:314
o2scl_cgs::stefan_boltzmann_constant
const double stefan_boltzmann_constant
Stefan-Boltzmann constant in g / K^4 s^3 (CODATA 2018; derived; exact)
Definition: constants.h:168
o2scl_cgs::standard_gas_volume
const double standard_gas_volume
Molar volume of ideal gas at standard T and P in cm^3 / mol (CODATA 2014 value)
Definition: constants.h:250
o2scl_cgs::knot
const double knot
cm / s
Definition: constants.h:316
o2scl_cgsm::speed_of_light
const double speed_of_light
Speed of light in cm / s.
Definition: constants.h:412
o2scl_cgs::stilb
const double stilb
cd / cm^2
Definition: constants.h:366
o2scl_cgsm::day
const double day
s
Definition: constants.h:503
o2scl_cgsm::mass_helion
const double mass_helion
Helion mass in g.
Definition: constants.h:479
o2scl_cgsm::mass_alpha
const double mass_alpha
Alpha particle mass in g.
Definition: constants.h:481
o2scl_cgsm::barn
const double barn
cm^2
Definition: constants.h:533
o2scl_cgsm::tablespoon
const double tablespoon
cm^3
Definition: constants.h:547
o2scl_mks::nautical_mile
const double nautical_mile
m
Definition: constants.h:769
o2scl_cgsm::therm
const double therm
g cm^2 / s^2
Definition: constants.h:587
o2scl_cgs::poise
const double poise
g / cm s
Definition: constants.h:362
o2scl_cgs::curie
const double curie
1 / s
Definition: constants.h:380
o2scl_cgsm::us_gallon
const double us_gallon
cm^3
Definition: constants.h:537
o2scl_mks::dyne
const double dyne
kg m / s^2
Definition: constants.h:885
o2scl_cgs::calorie
const double calorie
g cm^2 / s^2
Definition: constants.h:340
o2scl_cgs::grav_accel
const double grav_accel
Acccleration due to gravity in cm / s^2 (CODATA 2018; now exact)
Definition: constants.h:191
o2scl_cgsm::mass_triton
const double mass_triton
Triton mass in g.
Definition: constants.h:477
o2scl_cgsm::proton_magnetic_moment
const double proton_magnetic_moment
Proton magnetic moment in abamp cm^2 (CODATA 2014 value)
Definition: constants.h:641
o2scl_mks::phot
const double phot
cd sr / m^2
Definition: constants.h:871
o2scl_mks::plancks_constant_h
const double plancks_constant_h
Planck constant in kg m^2 / s.
Definition: constants.h:670
o2scl_mks::sidereal_year
const double sidereal_year
Sidereal year in s.
Definition: constants.h:703
o2scl_mks::lumen
const double lumen
cd sr
Definition: constants.h:867
o2scl_cgs::fluid_ounce
const double fluid_ounce
cm^3
Definition: constants.h:302
o2scl_mks::yard
const double yard
m
Definition: constants.h:765
o2scl_mks::Gfermi
const double Gfermi
Fermi coupling constant in s^4 / m^4 kg^2.
Definition: constants.h:683
o2scl_mks::micron
const double micron
m
Definition: constants.h:779
o2scl_cgsm::Gfermi
const double Gfermi
Fermi coupling constant in s^4 / cm^4 g^2.
Definition: constants.h:429
o2scl_cgs::roentgen
const double roentgen
A s / g.
Definition: constants.h:396
o2scl_mks::teaspoon
const double teaspoon
m^3
Definition: constants.h:803
o2scl_cgsm::cup
const double cup
cm^3
Definition: constants.h:543
o2scl_cgs::newton
const double newton
cm g / s^2
Definition: constants.h:384
o2scl_cgs::pound_mass
const double pound_mass
g
Definition: constants.h:318
o2scl_mks::torr
const double torr
kg / m s^2
Definition: constants.h:849
o2scl_cgsm::micron
const double micron
cm
Definition: constants.h:525
o2scl_mks::psi
const double psi
kg / m s^2
Definition: constants.h:857
o2scl_cgsm::mass_electron
const double mass_electron
Electron mass in g.
Definition: constants.h:461
o2scl_cgs::btu
const double btu
g cm^2 / s^2
Definition: constants.h:342
o2scl_mks::metric_ton
const double metric_ton
kg
Definition: constants.h:821
o2scl_cgs::mass_deuteron
const double mass_deuteron
Deuteron mass in kg (CODATA 2018 value)
Definition: constants.h:228
o2scl_cgs::barn
const double barn
cm^2
Definition: constants.h:290
o2scl_const::mass_lambda_MeV
const double mass_lambda_MeV
hyperon mass in
Definition: constants.h:1015
o2scl_cgs::footlambert
const double footlambert
cd sr / cm^2
Definition: constants.h:378
o2scl_const::mass_cascade_zero_MeV
const double mass_cascade_zero_MeV
hyperon mass in
Definition: constants.h:1031
o2scl_cgsm::minute
const double minute
s
Definition: constants.h:499
o2scl_cgs::meter_of_mercury
const double meter_of_mercury
g / cm s^2
Definition: constants.h:354
o2scl_cgsm::footlambert
const double footlambert
cd sr / cm^2
Definition: constants.h:621
o2scl_cgsm::point
const double point
cm
Definition: constants.h:521
o2scl_const::hc_mev_fm_f
fp_t hc_mev_fm_f()
Reduced Planck constant times speed of light in .
Definition: constants.h:128
o2scl_cgs::tropical_year
const double tropical_year
Tropical year in s.
Definition: constants.h:204
o2scl_mks::poundal
const double poundal
kg m / s^2
Definition: constants.h:835
o2scl_mks::us_gallon
const double us_gallon
m^3
Definition: constants.h:791
o2scl_cgsm::mass_proton
const double mass_proton
Proton mass in g.
Definition: constants.h:467
o2scl_cgs::gravitational_constant
const double gravitational_constant
Newtonian constant of gravitation in cm^3 / g s^2 (CODATA 2018 value)
Definition: constants.h:155
o2scl_mks::liter
const double liter
m^3
Definition: constants.h:789
o2scl_mks::mass_tau
const double mass_tau
Muon mass in kg.
Definition: constants.h:719
o2scl_cgs::solar_mass
const double solar_mass
Mass of the sun in g (from navy.mil)
Definition: constants.h:197
o2scl_cgs::speed_of_light
const double speed_of_light
Speed of light in (exact)
Definition: constants.h:153
o2scl_cgsm::gravitational_constant
const double gravitational_constant
Newtonian constant of gravitation in cm^3 / g s^2.
Definition: constants.h:414
o2scl_cgs::parsec
const double parsec
Parsec in (derived)
Definition: constants.h:189
o2scl_cgs::psi
const double psi
g / cm s^2
Definition: constants.h:360
o2scl_cgs::astronomical_unit
const double astronomical_unit
Astronomical unit in cm (IAU 2009 value; now exact)
Definition: constants.h:187
o2scl_cgsm::inch
const double inch
cm
Definition: constants.h:507
o2scl_mks::horsepower
const double horsepower
kg m^2 / s^3
Definition: constants.h:843
o2scl_const::zeta52
const double zeta52
Definition: constants.h:73
o2scl_cgsm::thomson_cross_section
const double thomson_cross_section
Thomson cross section in cm^2.
Definition: constants.h:427
o2scl_cgsm::kilopound_force
const double kilopound_force
cm g / s^2
Definition: constants.h:579
o2scl_cgsm::rad
const double rad
cm^2 / s^2
Definition: constants.h:625
o2scl_cgsm::inch_of_water
const double inch_of_water
g / cm s^2
Definition: constants.h:601
o2scl_cgsm::molar_gas
const double molar_gas
Molar gas constant, "R", in g cm^2 / K mol s^2.
Definition: constants.h:491
o2scl_cgs::minute
const double minute
s
Definition: constants.h:256
o2scl_mks::canadian_gallon
const double canadian_gallon
m^3
Definition: constants.h:805
o2scl_mks::footcandle
const double footcandle
cd sr / m^2
Definition: constants.h:873
o2scl_mks::barn
const double barn
m^2
Definition: constants.h:787
o2scl_cgs::erg
const double erg
g cm^2 / s^2
Definition: constants.h:390
o2scl_mks::day
const double day
s
Definition: constants.h:757
o2scl_cgs::lux
const double lux
cd sr / cm^2
Definition: constants.h:370
o2scl_cgsm::uk_ton
const double uk_ton
g
Definition: constants.h:569
o2scl_cgs::torr
const double torr
g / cm s^2
Definition: constants.h:352
o2scl_mks::stefan_boltzmann_constant
const double stefan_boltzmann_constant
Stefan-Boltzmann constant in kg / K^4 s^3.
Definition: constants.h:678
o2scl_cgsm::bar
const double bar
g / cm s^2
Definition: constants.h:591
o2scl_mks::mass_triton
const double mass_triton
Triton mass in kg.
Definition: constants.h:731
o2scl_cgs::julian_year
const double julian_year
Julian year in s.
Definition: constants.h:206
o2scl_cgs::plancks_constant_hbar
const double plancks_constant_hbar
Planck constant divided by 2 pi in g cm^2 / s (derived)
Definition: constants.h:159
o2scl_const::ec_gauss_fm2
const double ec_gauss_fm2
1 times the electron charge in Gaussian units in
Definition: constants.h:999
o2scl_cgsm::faraday
const double faraday
Faraday constant in abamp s / mol (CODATA 2018 value; derived; exact)
Definition: constants.h:649
o2scl_mks::speed_of_light
const double speed_of_light
Speed of light in m / s.
Definition: constants.h:666
o2scl_mks::joule
const double joule
kg m^2 / s^2
Definition: constants.h:887
o2scl_const::e2_mks
const double e2_mks
Electron charge squared in SI(MKS) units (derived)
Definition: constants.h:993

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