1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
|
# Compiled by Charles Harris
# Taken from his email message to scipy-dev
# dated October 3, 2002
# updated to 2002 values by BasSw, 2006
""" Fundamental Physical Constants
These constants are taken from CODATA Recommended Values of the
Fundamental Physical Constants: 2002. They may be found at
physics.nist.gov/constants. The values are stored in the dictionary
physical_constants as a tuple containing the value, the units, and
the relative precision, in that order. All constants are in SI units
unless otherwise stated.
Several helper functions are provided:
value(key) returns the value of the physical constant.
unit(key) returns the units of the physical constant.
precision(key) returns the relative precision of the physical constant.
find(sub) prints out a list of keys containing the string sub.
"""
import string
from math import pi, sqrt
__all__ = ['physical_constants', 'value', 'unit', 'precision', 'find']
"""
From: http://physics.nist.gov/constants
Source: Peter J. Mohr and Barry N. Taylor, CODATA Recommended Values of the
Fundamental Physical Constants: 2002, published in Rev. Mod. Phys.
vol. 77(1) 1-107 (2005).
Quantity Value Uncertainty Unit
"""
txt = """speed of light in vacuum 299 792 458 0 m s^-1
magn. constant 12.566 370 614...e-7 0 N A^-2
electric constant 8.854 187 817...e-12 0 F m^-1
characteristic impedance of vacuum 376.730 313 461... 0 ohm
Newtonian constant of gravitation 6.6742e-11 0.0010e-11 m^3 kg^-1 s^-2
Newtonian constant of gravitation over h-bar c 6.7087e-39 0.0010e-39 (GeV/c^2)^-2
Planck constant 6.626 0693e-34 0.000 0011e-34 J s
Planck constant in eV s 4.135 667 43e-15 0.000 000 35e-15 eV s
Planck constant over 2 pi times c in MeV fm 197.326 968 0.000 017 MeV fm
Planck constant over 2 pi 1.054 571 68e-34 0.000 000 18e-34 J s
Planck constant over 2 pi in eV s 6.582 119 15e-16 0.000 000 56e-16 eV s
Planck mass 2.176 45e-8 0.000 16e-8 kg
Planck temperature 1.416 79e32 0.000 11e32 K
Planck length 1.616 24e-35 0.000 12e-35 m
Planck time 5.391 21e-44 0.000 40e-44 s
elementary charge 1.602 176 53e-19 0.000 000 14e-19 C
elementary charge over h 2.417 989 40e14 0.000 000 21e14 A J^-1
magn. flux quantum 2.067 833 72e-15 0.000 000 18e-15 Wb
conductance quantum 7.748 091 733e-5 0.000 000 026e-5 S
inverse of conductance quantum 12 906.403 725 0.000 043 ohm
Josephson constant 483 597.879e9 0.041e9 Hz V^-1
von Klitzing constant 25 812.807 449 0.000 086 ohm
Bohr magneton 927.400 949e-26 0.000 080e-26 J T^-1
Bohr magneton in eV/T 5.788 381 804e-5 0.000 000 039e-5 eV T^-1
Bohr magneton in Hz/T 13.996 2458e9 0.000 0012e9 Hz T^-1
Bohr magneton in inverse meters per tesla 46.686 4507 0.000 0040 m^-1 T^-1
Bohr magneton in K/T 0.671 7131 0.000 0012 K T^-1
nuclear magneton 5.050 783 43e-27 0.000 000 43e-27 J T^-1
nuclear magneton in eV/T 3.152 451 259e-8 0.000 000 021e-8 eV T^-1
nuclear magneton in MHz/T 7.622 593 71 0.000 000 65 MHz T^-1
nuclear magneton in inverse meters per tesla 2.542 623 58e-2 0.000 000 22e-2 m^-1 T^-1
nuclear magneton in K/T 3.658 2637e-4 0.000 0064e-4 K T^-1
fine-structure constant 7.297 352 568e-3 0.000 000 024e-3
inverse fine-structure constant 137.035 999 11 0.000 000 46
Rydberg constant 10 973 731.568 525 0.000 073 m^-1
Rydberg constant times c in Hz 3.289 841 960 360e15 0.000 000 000 022e15 Hz
Rydberg constant times hc in J 2.179 872 09e-18 0.000 000 37e-18 J
Rydberg constant times hc in eV 13.605 6923 0.000 0012 eV
Bohr radius 0.529 177 2108e-10 0.000 000 0018e-10 m
Hartree energy 4.359 744 17e-18 0.000 000 75e-18 J
Hartree energy in eV 27.211 3845 0.000 0023 eV
quantum of circulation 3.636 947 550e-4 0.000 000 024e-4 m^2 s^-1
quantum of circulation times 2 7.273 895 101e-4 0.000 000 048e-4 m^2 s^-1
Fermi coupling constant 1.166 39e-5 0.000 01e-5 GeV^-2
weak mixing angle 0.222 15 0.000 76
electron mass 9.109 3826e-31 0.000 0016e-31 kg
electron mass in u 5.485 799 0945e-4 0.000 000 0024e-4 u
electron mass energy equivalent 8.187 1047e-14 0.000 0014e-14 J
electron mass energy equivalent in MeV 0.510 998 918 0.000 000 044 MeV
electron-muon mass ratio 4.836 331 67e-3 0.000 000 13e-3
electron-tau mass ratio 2.875 64e-4 0.000 47e-4
electron-proton mass ratio 5.446 170 2173e-4 0.000 000 0025e-4
electron-neutron mass ratio 5.438 673 4481e-4 0.000 000 0038e-4
electron-deuteron mass ratio 2.724 437 1095e-4 0.000 000 0013e-4
electron to alpha particle mass ratio 1.370 933 555 75e-4 0.000 000 000 61e-4
electron charge to mass quotient -1.758 820 12e11 0.000 000 15e11 C kg^-1
electron molar mass 5.485 799 0945e-7 0.000 000 0024e-7 kg mol^-1
Compton wavelength 2.426 310 238e-12 0.000 000 016e-12 m
Compton wavelength over 2 pi 386.159 2678e-15 0.000 0026e-15 m
classical electron radius 2.817 940 325e-15 0.000 000 028e-15 m
Thomson cross section 0.665 245 873e-28 0.000 000 013e-28 m^2
electron magn. moment -928.476 412e-26 0.000 080e-26 J T^-1
electron magn. moment to Bohr magneton ratio -1.001 159 652 1859 0.000 000 000 0038
electron magn. moment to nuclear magneton ratio -1838.281 971 07 0.000 000 85
electron magn. moment anomaly 1.159 652 1859e-3 0.000 000 0038e-3
electron g factor -2.002 319 304 3718 0.000 000 000 0075
electron-muon magn. moment ratio 206.766 9894 0.000 0054
electron-proton magn. moment ratio -658.210 6862 0.000 0066
electron to shielded proton magn. moment ratio -658.227 5956 0.000 0071
electron-neutron magn. moment ratio 960.920 50 0.000 23
electron-deuteron magn. moment ratio -2143.923 493 0.000 023
electron to shielded helion magn. moment ratio 864.058 255 0.000 010
electron gyromagn. ratio 1.760 859 74e11 0.000 000 15e11 s^-1 T^-1
electron gyromagn. ratio over 2 pi 28 024.9532 0.0024 MHz T^-1
muon mass 1.883 531 40e-28 0.000 000 33e-28 kg
muon mass in u 0.113 428 9264 0.000 000 0030 u
muon mass energy equivalent 1.692 833 60e-11 0.000 000 29e-11 J
muon mass energy equivalent in MeV 105.658 3692 0.000 0094 MeV
muon-electron mass ratio 206.768 2838 0.000 0054
muon-tau mass ratio 5.945 92e-2 0.000 97e-2
muon-proton mass ratio 0.112 609 5269 0.000 000 0029
muon-neutron mass ratio 0.112 454 5175 0.000 000 0029
muon molar mass 0.113 428 9264e-3 0.000 000 0030e-3 kg mol^-1
muon Compton wavelength 11.734 441 05e-15 0.000 000 30e-15 m
muon Compton wavelength over 2 pi 1.867 594 298e-15 0.000 000 047e-15 m
muon magn. moment -4.490 447 99e-26 0.000 000 40e-26 J T^-1
muon magn. moment to Bohr magneton ratio -4.841 970 45e-3 0.000 000 13e-3
muon magn. moment to nuclear magneton ratio -8.890 596 98 0.000 000 23
muon magn. moment anomaly 1.165 919 81e-3 0.000 000 62e-3
muon g factor -2.002 331 8396 0.000 000 0012
muon-proton magn. moment ratio -3.183 345 118 0.000 000 089
tau mass 3.167 77e-27 0.000 52e-27 kg
tau mass in u 1.907 68 0.000 31 u
tau mass energy equivalent 2.847 05e-10 0.000 46e-10 J
tau mass energy equivalent in MeV 1776.99 0.29 MeV
tau-electron mass ratio 3477.48 0.57
tau-muon mass ratio 16.8183 0.0027
tau-proton mass ratio 1.893 90 0.000 31
tau-neutron mass ratio 1.891 29 0.000 31
tau molar mass 1.907 68e-3 0.000 31e-3 kg mol^-1
tau Compton wavelength 0.697 72e-15 0.000 11e-15 m
tau Compton wavelength over 2 pi 0.111 046e-15 0.000 018e-15 m
proton mass 1.672 621 71e-27 0.000 000 29e-27 kg
proton mass in u 1.007 276 466 88 0.000 000 000 13 u
proton mass energy equivalent 1.503 277 43e-10 0.000 000 26e-10 J
proton mass energy equivalent in MeV 938.272 029 0.000 080 MeV
proton-electron mass ratio 1836.152 672 61 0.000 000 85
proton-muon mass ratio 8.880 243 33 0.000 000 23
proton-tau mass ratio 0.528 012 0.000 086
proton-neutron mass ratio 0.998 623 478 72 0.000 000 000 58
proton charge to mass quotient 9.578 833 76e7 0.000 000 82e7 C kg^-1
proton molar mass 1.007 276 466 88e-3 0.000 000 000 13e-3 kg mol^-1
proton Compton wavelength 1.321 409 8555e-15 0.000 000 0088e-15 m
proton Compton wavelength over 2 pi 0.210 308 9104e-15 0.000 000 0014e-15 m
proton magn. moment 1.410 606 71e-26 0.000 000 12e-26 J T^-1
proton magn. moment to Bohr magneton ratio 1.521 032 206e-3 0.000 000 015e-3
proton magn. moment to nuclear magneton ratio 2.792 847 351 0.000 000 028
proton g factor 5.585 694 701 0.000 000 056
proton-neutron magn. moment ratio -1.459 898 05 0.000 000 34
shielded proton magn. moment 1.410 570 47e-26 0.000 000 12e-26 J T^-1
shielded proton magn. moment to Bohr magneton ratio 1.520 993 132e-3 0.000 000 016e-3
shielded proton magn. moment to nuclear magneton ratio 2.792 775 604 0.000 000 030
proton magn. shielding correction 25.689e-6 0.015e-6
proton gyromagn. ratio 2.675 222 05e8 0.000 000 23e8 s^-1 T^-1
proton gyromagn. ratio over 2 pi 42.577 4813 0.000 0037 MHz T^-1
shielded proton gyromagn. ratio 2.675 153 33e8 0.000 000 23e8 s^-1 T^-1
shielded proton gyromagn. ratio over 2 pi 42.576 3875 0.000 0037 MHz T^-1
proton rms charge radius 0.8750e-15 0.0068e-15 m
neutron mass 1.674 927 28e-27 0.000 000 29e-27 kg
neutron mass in u 1.008 664 915 60 0.000 000 000 55 u
neutron mass energy equivalent 1.505 349 57e-10 0.000 000 26e-10 J
neutron mass energy equivalent in MeV 939.565 360 0.000 081 MeV
neutron-electron mass ratio 1838.683 6598 0.000 0013
neutron-muon mass ratio 8.892 484 02 0.000 000 23
neutron-tau mass ratio 0.528 740 0.000 086
neutron-proton mass ratio 1.001 378 418 70 0.000 000 000 58
neutron molar mass 1.008 664 915 60e-3 0.000 000 000 55e-3 kg mol^-1
neutron Compton wavelength 1.319 590 9067e-15 0.000 000 0088e-15 m
neutron Compton wavelength over 2 pi 0.210 019 4157e-15 0.000 000 0014e-15 m
neutron magn. moment -0.966 236 45e-26 0.000 000 24e-26 J T^-1
neutron magn. moment to Bohr magneton ratio -1.041 875 63e-3 0.000 000 25e-3
neutron magn. moment to nuclear magneton ratio -1.913 042 73 0.000 000 45
neutron g factor -3.826 085 46 0.000 000 90
neutron-electron magn. moment ratio 1.040 668 82e-3 0.000 000 25e-3
neutron-proton magn. moment ratio -0.684 979 34 0.000 000 16
neutron to shielded proton magn. moment ratio -0.684 996 94 0.000 000 16
neutron gyromagn. ratio 1.832 471 83e8 0.000 000 46e8 s^-1 T^-1
neutron gyromagn. ratio over 2 pi 29.164 6950 0.000 0073 MHz T^-1
deuteron mass 3.343 583 35e-27 0.000 000 57e-27 kg
deuteron mass in u 2.013 553 212 70 0.000 000 000 35 u
deuteron mass energy equivalent 3.005 062 85e-10 0.000 000 51e-10 J
deuteron mass energy equivalent in MeV 1875.612 82 0.000 16 MeV
deuteron-electron mass ratio 3670.482 9652 0.000 0018
deuteron-proton mass ratio 1.999 007 500 82 0.000 000 000 41
deuteron molar mass 2.013 553 212 70e-3 0.000 000 000 35e-3 kg mol^-1
deuteron magn. moment 0.433 073 482e-26 0.000 000 038e-26 J T^-1
deuteron magn. moment to Bohr magneton ratio 0.466 975 4567e-3 0.000 000 0050e-3
deuteron magn. moment to nuclear magneton ratio 0.857 438 2329 0.000 000 0092
deuteron-electron magn. moment ratio -4.664 345 548e-4 0.000 000 050e-4
deuteron-proton magn. moment ratio 0.307 012 2084 0.000 000 0045
deuteron-neutron magn. moment ratio -0.448 206 52 0.000 000 11
deuteron rms charge radius 2.1394e-15 0.0028e-15 m
helion mass 5.006 412 14e-27 0.000 000 86e-27 kg
helion mass in u 3.014 932 2434 0.000 000 0058 u
helion mass energy equivalent 4.499 538 84e-10 0.000 000 77e-10 J
helion mass energy equivalent in MeV 2808.391 42 0.000 24 MeV
helion-electron mass ratio 5495.885 269 0.000 011
helion-proton mass ratio 2.993 152 6671 0.000 000 0058
helion molar mass 3.014 932 2434e-3 0.000 000 0058e-3 kg mol^-1
shielded helion magn. moment -1.074 553 024e-26 0.000 000 093e-26 J T^-1
shielded helion magn. moment to Bohr magneton ratio -1.158 671 474e-3 0.000 000 014e-3
shielded helion magn. moment to nuclear magneton ratio -2.127 497 723 0.000 000 025
shielded helion to proton magn. moment ratio -0.761 766 562 0.000 000 012
shielded helion to shielded proton magn. moment ratio -0.761 786 1313 0.000 000 0033
shielded helion gyromagn. ratio 2.037 894 70e8 0.000 000 18e8 s^-1 T^-1
shielded helion gyromagn. ratio over 2 pi 32.434 1015 0.000 0028 MHz T^-1
alpha particle mass 6.644 6565e-27 0.000 0011e-27 kg
alpha particle mass in u 4.001 506 179 149 0.000 000 000 056 u
alpha particle mass energy equivalent 5.971 9194e-10 0.000 0010e-10 J
alpha particle mass energy equivalent in MeV 3727.379 17 0.000 32 MeV
alpha particle-electron mass ratio 7294.299 5363 0.000 0032
alpha particle-proton mass ratio 3.972 599 689 07 0.000 000 000 52
alpha particle molar mass 4.001 506 179 149e-3 0.000 000 000 056e-3 kg mol^-1
Avogadro constant 6.022 1415e23 0.000 0010e23 mol^-1
atomic mass constant 1.660 538 86e-27 0.000 000 28e-27 kg
atomic mass constant energy equivalent 1.492 417 90e-10 0.000 000 26e-10 J
atomic mass constant energy equivalent in MeV 931.494 043 0.000 080 MeV
Faraday constant 96 485.3383 0.0083 C mol^-1
Faraday constant for conventional electric current 96 485.336 0.016 C_90 mol^-1
molar Planck constant 3.990 312 716e-10 0.000 000 027e-10 J s mol^-1
molar Planck constant times c 0.119 626 565 72 0.000 000 000 80 J m mol^-1
molar gas constant 8.314 472 0.000 015 J mol^-1 K^-1
Boltzmann constant 1.380 6505e-23 0.000 0024e-23 J K^-1
Boltzmann constant in eV/K 8.617 343e-5 0.000 015e-5 eV K^-1
Boltzmann constant in Hz/K 2.083 6644e10 0.000 0036e10 Hz K^-1
Boltzmann constant in inverse meters per kelvin 69.503 56 0.000 12 m^-1 K^-1
molar volume of ideal gas (273.15 K, 101.325 kPa) 22.413 996e-3 0.000 039e-3 m^3 mol^-1
Loschmidt constant (273.15 K, 101.325 kPa) 2.686 7773e25 0.000 0047e25 m^-3
molar volume of ideal gas (273.15 K, 100 kPa) 22.710 981e-3 0.000 040e-3 m^3 mol^-1
Sackur-Tetrode constant (1 K, 100 kPa) -1.151 7047 0.000 0044
Sackur-Tetrode constant (1 K, 101.325 kPa) -1.164 8677 0.000 0044
Stefan-Boltzmann constant 5.670 400e-8 0.000 040e-8 W m^-2 K^-4
first radiation constant 3.741 771 38e-16 0.000 000 64e-16 W m^2
first radiation constant for spectral radiance 1.191 042 82e-16 0.000 000 20e-16 W m^2 sr^-1
second radiation constant 1.438 7752e-2 0.000 0025e-2 m K
Wien displacement law constant 2.897 7685e-3 0.000 0051e-3 m K
molar mass of carbon-12 12e-3 0 kg mol^-1
molar mass constant 1e-3 0 kg mol^-1
conventional value of Josephson constant 483 597.9e9 0 Hz V^-1
conventional value of von Klitzing constant 25 812.807 0 ohm
standard atmosphere 101 325 0 Pa
standard acceleration of gravity 9.806 65 0 m s^-2
Cu x unit 1.002 077 10e-13 0.000 000 29e-13 m
Mo x unit 1.002 099 66e-13 0.000 000 53e-13 m
Angstrom star 1.000 015 09e-10 0.000 000 90e-10 m
lattice parameter of silicon 543.102 122e-12 0.000 020e-12 m
{220} lattice spacing of silicon 192.015 5965e-12 0.000 0070e-12 m
molar volume of silicon 12.058 8382e-6 0.000 0024e-6 m^3 mol^-1
electron volt 1.602 176 53e-19 0.000 000 14e-19 J
unified atomic mass unit 1.660 538 86e-27 0.000 000 28e-27 kg
natural unit of velocity 299 792 458 0 m s^-1
natural unit of action 1.054 571 68e-34 0.000 000 18e-34 J s
natural unit of action in eV s 6.582 119 15e-16 0.000 000 56e-16 eV s
natural unit of mass 9.109 3826e-31 0.000 0016e-31 kg
natural unit of energy 8.187 1047e-14 0.000 0014e-14 J
natural unit of energy in MeV 0.510 998 918 0.000 000 044 MeV
natural unit of momentum 2.730 924 19e-22 0.000 000 47e-22 kg m s^-1
natural unit of momentum in MeV/c 0.510 998 918 0.000 000 044 MeV/c
natural unit of length 386.159 2678e-15 0.000 0026e-15 m
natural unit of time 1.288 088 6677e-21 0.000 000 0086e-21 s
atomic unit of charge 1.602 176 53e-19 0.000 000 14e-19 C
atomic unit of mass 9.109 3826e-31 0.000 0016e-31 kg
atomic unit of action 1.054 571 68e-34 0.000 000 18e-34 J s
atomic unit of length 0.529 177 2108e-10 0.000 000 0018e-10 m
atomic unit of energy 4.359 744 17e-18 0.000 000 75e-18 J
atomic unit of time 2.418 884 326 505e-17 0.000 000 000 016e-17 s
atomic unit of force 8.238 7225e-8 0.000 0014e-8 N
atomic unit of velocity 2.187 691 2633e6 0.000 000 0073e6 m s^-1
atomic unit of momentum 1.992 851 66e-24 0.000 000 34e-24 kg m s^-1
atomic unit of current 6.623 617 82e-3 0.000 000 57e-3 A
atomic unit of charge density 1.081 202 317e12 0.000 000 093e12 C m^-3
atomic unit of electric potential 27.211 3845 0.000 0023 V
atomic unit of electric field 5.142 206 42e11 0.000 000 44e11 V m^-1
atomic unit of electric field gradient 9.717 361 82e21 0.000 000 83e21 V m^-2
atomic unit of electric dipole moment 8.478 353 09e-30 0.000 000 73e-30 C m
atomic unit of electric quadrupole moment 4.486 551 24e-40 0.000 000 39e-40 C m^2
atomic unit of electric polarizablity 1.648 777 274e-41 0.000 000 016e-41 C^2 m^2 J^-1
atomic unit of 1st hyperpolarizablity 3.206 361 51e-53 0.000 000 28e-53 C^3 m^3 J^-2
atomic unit of 2nd hyperpolarizablity 6.235 3808e-65 0.000 0011e-65 C^4 m^4 J^-3
atomic unit of magn. flux density 2.350 517 42e5 0.000 000 20e5 T
atomic unit of magn. dipole moment 1.854 801 90e-23 0.000 000 16e-23 J T^-1
atomic unit of magnetizability 7.891 036 60e-29 0.000 000 13e-29 J T^-2
atomic unit of permittivity 1.112 650 056...e-10 0 F m^-1
joule-kilogram relationship 1.112 650 056...e-17 0 kg
joule-inverse meter relationship 5.034 117 20e24 0.000 000 86e24 m^-1
joule-hertz relationship 1.509 190 37e33 0.000 000 26e33 Hz
joule-kelvin relationship 7.242 963e22 0.000 013e22 K
joule-electron volt relationship 6.241 509 47e18 0.000 000 53e18 eV
joule-atomic mass unit relationship 6.700 5361e9 0.000 0011e9 u
joule-hartree relationship 2.293 712 57e17 0.000 000 39e17 E_h
kilogram-joule relationship 8.987 551 787...e16 0 J
kilogram-inverse meter relationship 4.524 438 91e41 0.000 000 77e41 m^-1
kilogram-hertz relationship 1.356 392 66e50 0.000 000 23e50 Hz
kilogram-kelvin relationship 6.509 650e39 0.000 011e39 K
kilogram-electron volt relationship 5.609 588 96e35 0.000 000 48e35 eV
kilogram-atomic mass unit relationship 6.022 1415e26 0.000 0010e26 u
kilogram-hartree relationship 2.061 486 05e34 0.000 000 35e34 E_h
inverse meter-joule relationship 1.986 445 61e-25 0.000 000 34e-25 J
inverse meter-kilogram relationship 2.210 218 81e-42 0.000 000 38e-42 kg
inverse meter-hertz relationship 299 792 458 0 Hz
inverse meter-kelvin relationship 1.438 7752e-2 0.000 0025e-2 K
inverse meter-electron volt relationship 1.239 841 91e-6 0.000 000 11e-6 eV
inverse meter-atomic mass unit relationship 1.331 025 0506e-15 0.000 000 0089e-15 u
inverse meter-hartree relationship 4.556 335 252 760e-8 0.000 000 000 030e-8 E_h
hertz-joule relationship 6.626 0693e-34 0.000 0011e-34 J
hertz-kilogram relationship 7.372 4964e-51 0.000 0013e-51 kg
hertz-inverse meter relationship 3.335 640 951...e-9 0 m^-1
hertz-kelvin relationship 4.799 2374e-11 0.000 0084e-11 K
hertz-electron volt relationship 4.135 667 43e-15 0.000 000 35e-15 eV
hertz-atomic mass unit relationship 4.439 821 667e-24 0.000 000 030e-24 u
hertz-hartree relationship 1.519 829 846 006e-16 0.000 000 000 010e-16 E_h
kelvin-joule relationship 1.380 6505e-23 0.000 0024e-23 J
kelvin-kilogram relationship 1.536 1808e-40 0.000 0027e-40 kg
kelvin-inverse meter relationship 69.503 56 0.000 12 m^-1
kelvin-hertz relationship 2.083 6644e10 0.000 0036e10 Hz
kelvin-electron volt relationship 8.617 343e-5 0.000 015e-5 eV
kelvin-atomic mass unit relationship 9.251 098e-14 0.000 016e-14 u
kelvin-hartree relationship 3.166 8153e-6 0.000 0055e-6 E_h
electron volt-joule relationship 1.602 176 53e-19 0.000 000 14e-19 J
electron volt-kilogram relationship 1.782 661 81e-36 0.000 000 15e-36 kg
electron volt-inverse meter relationship 8.065 544 45e5 0.000 000 69e5 m^-1
electron volt-hertz relationship 2.417 989 40e14 0.000 000 21e14 Hz
electron volt-kelvin relationship 1.160 4505e4 0.000 0020e4 K
electron volt-atomic mass unit relationship 1.073 544 171e-9 0.000 000 092e-9 u
electron volt-hartree relationship 3.674 932 45e-2 0.000 000 31e-2 E_h
atomic mass unit-joule relationship 1.492 417 90e-10 0.000 000 26e-10 J
atomic mass unit-kilogram relationship 1.660 538 86e-27 0.000 000 28e-27 kg
atomic mass unit-inverse meter relationship 7.513 006 608e14 0.000 000 050e14 m^-1
atomic mass unit-hertz relationship 2.252 342 718e23 0.000 000 015e23 Hz
atomic mass unit-kelvin relationship 1.080 9527e13 0.000 0019e13 K
atomic mass unit-electron volt relationship 931.494 043e6 0.000 080e6 eV
atomic mass unit-hartree relationship 3.423 177 686e7 0.000 000 023e7 E_h
hartree-joule relationship 4.359 744 17e-18 0.000 000 75e-18 J
hartree-kilogram relationship 4.850 869 60e-35 0.000 000 83e-35 kg
hartree-inverse meter relationship 2.194 746 313 705e7 0.000 000 000 015e7 m^-1
hartree-hertz relationship 6.579 683 920 721e15 0.000 000 000 044e15 Hz
hartree-kelvin relationship 3.157 7465e5 0.000 0055e5 K
hartree-electron volt relationship 27.211 3845 0.000 0023 eV
hartree-atomic mass unit relationship 2.921 262 323e-8 0.000 000 019e-8 u"""
#parse into a dict
physical_constants = {}
for line in txt.split('\n'):
name = line[:55].rstrip().replace('magn.','magnetic')
val = line[55:77].replace(' ','').replace('...','')
val = float(val)
uncert = line[77:99].replace(' ','')
uncert = float(uncert)
units = line[99:].rstrip()
physical_constants[name] = (val, units, uncert)
def value(key) :
"""value indexed by key"""
return physical_constants[key][0]
def unit(key) :
"""unit indexed by key"""
return physical_constants[key][1]
def precision(key) :
"""relative precision indexed by key"""
return physical_constants[key][2] / physical_constants[key][0]
def find(sub) :
"""list all keys containing the string sub"""
l_sub = string.lower(sub)
result = []
for key in physical_constants :
l_key = string.lower(key)
if l_sub in l_key:
result.append(key)
result.sort()
for key in result :
print key
#table is lacking some digits for exact values: calculate from definition
c = value('speed of light in vacuum')
mu0 = 4e-7*pi
epsilon0 = 1/(mu0*c*c)
exact_values = {
'magnetic constant': (mu0, 'N A^-2', 0.0),
'electric constant': (epsilon0, 'F m^-1', 0.0),
'characteristic impedance of vacuum': (sqrt(mu0/epsilon0), 'ohm', 0.0),
'atomic unit of permittivity': (4*epsilon0*pi, 'F m^-1', 0.0), #is that the definition?
'joule-kilogram relationship': (1/(c*c), 'kg', 0.0),
'kilogram-joule relationship': (c*c, 'J', 0.0),
'hertz-inverse meter relationship': (1/c, 'm^-1', 0.0)
}
#sanity check
for key in exact_values:
assert (exact_values[key][0]-value(key)) / value(key) < 1e-9
physical_constants.update(exact_values)
#check update
for key in exact_values:
assert (exact_values[key][0]-value(key)) / value(key) == 0
|
