|
Quantity
|
Symbol
|
Value
|
Error
|
units
|
Relative
uncertainty (ppm) |
| Universal
constants |
| Speed of light in vacuum |
c |
299792458 |
|
m s-1 |
exact |
| Permeability of vacuum |
m0 |
1.26E-06 |
|
N A-2 |
exact |
| Permittivity of vacuum |
e0 |
8.85E-12 |
|
F m-1 |
exact |
| Newtonian constant of
gravitation |
G |
6.67259E-11 |
8.5E-15 |
m3 kg-1
s-2 |
128 |
| Planck constant |
h |
6.6260755E-34 |
400.0E-42 |
J s |
0.60 |
| Planck constant in eV |
h |
4.1356692E-15 |
1.2E-21 |
eV s |
0.30 |
| Planck constant over 2p |
hbar |
1.05457266E-34 |
63.0E-42 |
J s |
0.60 |
| Planck constant over 2p
in eV |
hbar |
6.5821220E-16 |
200.0E-24 |
eV s |
0.30 |
| Planck mass ((hbar c)/G)0.5 |
mP |
2.17671E-08 |
1.4E-12 |
kg |
64 |
| Planck length (hbar /
(mP c)) |
lP |
1.61605E-35 |
1.0E-39 |
m |
64 |
| Planck time (lP
/ c) |
tP |
5.39056E-44 |
3.4E-48 |
s |
64 |
| Electromagnetic
constants |
| Elementary charge |
e |
1.60217733E-19 |
49.0E-27 |
C |
0.30 |
| Elementary charge |
e/h |
2.41798836E+14 |
72.0E+6 |
A J-1 |
0.30 |
| Magnetic flux quantum |
F0 |
2.06783461E-15 |
610.0E-24 |
Wb |
0.30 |
| Josephson frequency-voltage
quotient |
2e/h |
4.8359767E+14 |
140.0E+6 |
Hz V-1 |
0.30 |
| Quantized Hall conductance |
e2/h |
3.87404614E-05 |
1.7E-12 |
S |
0.045 |
| Quantized Hall resistance |
RH |
25812.8056 |
0.0012 |
W |
0.045 |
| Bohr magneton (e hbar)
/ (2 me) |
mB |
9.2740154E-24 |
3.1E-30 |
J T-1 |
0.34 |
| Bohr magneton in eV |
|
5.78838263E-05 |
5.2E-12 |
eV T-1 |
0.089 |
| Bohr magneton in hertz |
|
1.39962418E+10 |
4.2E+3 |
Hz T-1 |
0.30 |
| Bohr magneton in wavenumbers |
|
46.686437 |
0.000014 |
m-1 T-1 |
0.30 |
| Bohr magneton in kelvins |
|
6.7170990E-01 |
5.7E-6 |
K T-1 |
8.5 |
| Nuclear magneton (e hbar)
/ (2 mp) |
mN |
5.0507866E-27 |
1.7E-33 |
J T-1 |
0.34 |
| Nuclear magneton in eV |
|
3.15245166E-08 |
2.8E-15 |
eV T-1 |
0.089 |
| Nuclear magneton in hertz |
|
7.6225914E+00 |
2.3E-6 |
MHz T-1 |
0.30 |
| Nuclear magneton in wavenumbers |
|
2.54262281E-02 |
7.7E-9 |
m-1 T-1 |
0.30 |
| Nuclear magneton in kelvins |
|
3.658246E-04 |
3.1E-9 |
K T-1 |
8.5 |
| Atomic
constants |
| Fine-structure constant,
m0ce2/2h |
a |
7.29735308E-03 |
330.0E-12 |
|
0.045 |
| inverse fine-structure
constant |
a-1 |
137.0359895 |
0.0000061 |
|
0.045 |
| Rydberg constant (meca2/2h) |
Rinf |
10973731.534 |
0.013 |
m-1 |
0.0012 |
| Rydberg constant in hertz |
|
3.2898419499E+15 |
3.9E+6 |
Hz |
0.0012 |
| Rydberg constant in joules |
|
2.1798741E-18 |
1.3E-24 |
J |
0.60 |
| Rydberg constant in eV |
|
13.6056981 |
0.0000040 |
eV |
0.30 |
| Bohr radius (a/4pRinf) |
a0 |
5.29177249E-11 |
2.4E-18 |
m |
0.045 |
| Hartree energy (e2/4pe0a0) |
Eh |
4.3597482E-18 |
2.6E-24 |
J |
0.60 |
| Hartree energy in eV |
|
27.2113961 |
0.0000081 |
eV |
0.30 |
| Quantum of circulation |
h/2me |
3.63694807E-04 |
33.0E-12 |
m2 s-1 |
0.089 |
| |
h/me |
7.27389614E-04 |
65.0E-12 |
m2 s-1 |
0.089 |
| Electron |
| Mass |
me |
9.1093897E-31 |
540.0E-39 |
kg |
0.59 |
| Mass in atomic mass units |
|
5.48579903E-04 |
13.0E-12 |
u |
0.023 |
| Mass in eV |
|
5.10999060E-01 |
150.0E-9 |
eV |
0.30 |
| Electron-muon mass ratio |
me/mm |
4.83633218E-03 |
710.0E-12 |
|
0.15 |
| Electron-proton mass ratio |
me/mp |
5.44617013E-04 |
11.0E-12 |
|
0.020 |
| Electron-deuteron mass
ratio |
me/md |
2.72443707E-04 |
6.0E-12 |
|
0.020 |
| Electron-a-particle mass
ratio |
me/ma |
1.37093354E-04 |
3.0E-12 |
|
0.021 |
| Specific charge |
e/me |
1.75881962E+11 |
53.0E+3 |
C kg-1 |
0.30 |
| Molar mass |
M(e) |
5.48579903E-07 |
13.0E-15 |
kg mol-1 |
0.023 |
| Compton wavelength (h/mec) |
lC |
-2.42631058E-12 |
220.0E-21 |
m |
0.089 |
| Compton wavelength /2p |
lC/2p |
3.86159323E-13 |
35.0E-21 |
m |
0.089 |
| Classical radius, a2a0 |
re |
2.81794092E-15 |
380.0E-24 |
m |
0.13 |
| Thomson cross section
(8p/3)re2 |
se |
6.65246160E-29 |
18.0E-36 |
m2 |
0.27 |
| Magnetic moment |
me |
9.2847701E-24 |
3.1E-30 |
J T-1 |
0.34 |
| Magnetic moment in Bohr
magnetons |
me/mB |
1.001159652193 |
0.000000000010 |
|
1E-05 |
| Magnetic moment in Nuclear
magnetons |
me/mN |
1838.282000 |
0.000037 |
|
0.020 |
| Magnetic moment anomaly
(me/mB
- 1) |
ae |
1.159652193E-03 |
10.0E-12 |
|
0.0086 |
| g-factor (2 (1 + ae)) |
ge |
2.002319304386 |
0.000000000020 |
|
1E-05 |
| Electron-muon magnetic
moment ratio |
me/mm |
206.766967 |
0.000030 |
|
0.15 |
| Electron-proton magnetic
moment ratio |
me/mp |
658.210688 |
0.000007 |
|
0.010 |
| Muon |
| Mass |
mm |
1.8835327E-28 |
110.0E-36 |
kg |
0.61 |
| Mass in atomic mass units |
|
0.113428913 |
0.000000017 |
u |
0.15 |
| Mass in eV |
|
105.658389 |
0.000034 |
MeV |
0.32 |
| Muon-electron mass ratio |
mm/me |
206.768262 |
0.000030 |
|
0.15 |
| Molar mass |
M(m) |
1.13428913E-04 |
17.0E-12 |
kg mol-1 |
0.015 |
| Magnetic moment |
mm |
4.4904514E-26 |
15.0E-33 |
J T-1 |
0.33 |
| Magnetic moment in Bohr
magnetons |
mm/mB |
4.84197097E+00 |
710.0E-9 |
|
0.15 |
| Magnetic moment in Nuclear
magnetons |
mm/mN |
8.8905981 |
0.0000013 |
|
0.15 |
| Magnetic moment anomaly
(mm/((e
hbar)/2mm)
- 1) |
am |
1.1659230E-03 |
8.4E-9 |
|
|
| g-factor (2 (1 + am)) |
gm |
2.002331846 |
0.000000017 |
|
0.0084 |
| Muon-proton magnetic moment
ratio |
mm/mp |
3.18334547 |
0.00000047 |
|
0.15 |
| Proton |
| Mass |
mp |
1.67E-27 |
1.0E-33 |
kg |
0.59 |
| Mass in atomic mass units |
|
1.007276470 |
0.000000012 |
u |
0.012 |
| Mass in eV |
|
938.27231 |
0.00028 |
MeV |
0.30 |
| Proton-electron mass ratio |
mp/me |
1836.152701 |
0.000037 |
|
0.02 |
| Proton-muon mass ratio |
mp/mm |
8.8802444 |
0.0000013 |
|
0.15 |
| Specific charge |
e/mp |
9.5788309E+07 |
29.0E+0 |
C kg-1 |
0.30 |
| Molar mass |
M(p) |
1.007267470E-03 |
12.0E-12 |
kg mol-1 |
0.012 |
| Compton wavelength |
lC,p |
1.32141002E-15 |
120.0E-24 |
m |
0.089 |
| Compton wavelength over
2p |
lbarC,p |
2.10308937E-16 |
19.0E-24 |
m |
0.089 |
| Magnetic moment |
mp |
1.41060761E-26 |
4.7E-33 |
J T-1 |
0.34 |
| Magnetic moment in Bohr
magnetons |
mp/mB |
1.521032202E-03 |
15.0E-12 |
|
0.010 |
| Magnetic moment in Nuclear
magnetons |
mp/mN |
2.792847386 |
0.000000063 |
|
0.023 |
| Diamagnetic shielding
correction for protons (H2O, spherical sample, 25C) 1-mp'/mp |
sH2O |
2.5689E-05 |
15.0E-9 |
|
|
| Shielded proton moment
(H2O,spherical sample, 25C) |
mp' |
1.41057138E-26 |
4.7E-33 |
J T-1 |
0.34 |
| Shielded proton moment
in Bohr magnetons |
mp'/mB |
1.520993129E-03 |
17.0E-12 |
|
0.011 |
| Shielded proton moment
in Nuclear magnetons |
mp'/mN |
2.792775642 |
64.0E-9 |
|
0.023 |
| Gyromagnetic ratio |
gp |
267522128 |
81 |
s-1 T-1 |
0.30 |
| Gyromagnetic ratio over
2p |
gp/2p |
42.577469 |
0.000013 |
MHz T-1 |
0.30 |
| Gyromagnetic ratio (uncorrected,
H2O,spherical sample,25C) |
gp' |
267515255 |
81 |
s-1 T-1 |
0.30 |
| Gyromagnetic ratio over
2p(uncorrected,
H2O,spherical sample,25C) |
gp'/2p |
42.576375 |
0.000013 |
MHz T-1 |
0.30 |
| Neutron |
| Mass |
mn |
1.6749286E-27 |
1.0E-33 |
kg |
0.59 |
| Mass in atomic mass units |
|
1.008664904 |
0.000000014 |
u |
0.014 |
| Mass in eV |
|
939.56563 |
0.00028 |
MeV |
0.30 |
| Neutron-electron mass
ratio |
mn/me |
1838.683662 |
0.000040 |
|
0.022 |
| Neutron-proton mass ratio |
mn/mp |
1.001378404 |
0.000000009 |
|
0.009 |
| Molar mass |
M(n) |
1.008664904E-03 |
14.0E-12 |
kg mol-1 |
0.014 |
| Compton wavelength |
lC,n |
1.31959110E-15 |
120.0E-24 |
m |
0.089 |
| Compton wavelength over
2p |
lbarC,n |
2.10019445E-16 |
19.0E-24 |
m |
0.089 |
| Magnetic moment (scalar
magnitude) |
mn |
9.66237070E-27 |
4.0E-33 |
J T-1 |
0.41 |
| Magnetic moment in Bohr
magnetons |
mn/mB |
1.04187563E-03 |
250.0E-12 |
|
0.24 |
| Magnetic moment in Nuclear
magnetons |
mn/mN |
1.91304275 |
0.00000045 |
|
0.24 |
| Neutron-electron magnetic
moment ratio |
mn/me |
1.04066882E-03 |
250.0E-12 |
|
0.24 |
| Neutron-proton magnetic
moment ratio |
mn/mp |
0.68497934 |
0.00000016 |
|
0.24 |
| Deuteron |
| Mass |
md |
3.3483586E-27 |
2.0E-33 |
kg |
0.59 |
| Mass in atomic mass units |
|
2.013553214 |
0.000000024 |
u |
0.012 |
| Mass in eV |
|
1875.61339 |
0.00057 |
MeV |
0.30 |
| Deuteron-electron mass
ratio |
md/me |
3670.483014 |
75.0E-6 |
|
0.020 |
| Deuteron-proton mass ratio |
md/mp |
1.999007496 |
6.0E-9 |
|
0.003 |
| Molar mass |
M(d) |
2.013553214E-03 |
24.0E-12 |
kg mol-1 |
0.012 |
| Magnetic moment |
md |
4.3307375E-27 |
1.5E-33 |
J T-1 |
0.34 |
| Magnetic moment in Bohr
magnetons |
md/mB |
4.669754479E-04 |
9.1E-12 |
|
0.019 |
| Magnetic moment in Nuclear
magnetons |
md/mN |
0.857438230 |
0.000000024 |
|
0.028 |
| Deuteron-electron magnetic
moment ratio |
md/me |
4.66434546E-04 |
9.1E-12 |
|
0.019 |
| Deuteron-proton magnetic
moment ratio |
md/mp |
0.307012204 |
5.1E-9 |
|
0.017 |
| Physicochemical
constants |
| Avogadro constant |
NA,L |
6.0221367E+23 |
360.0E+15 |
mol-1 |
0.59 |
| Atomic mass constant,
m(12C)/12 |
mu |
1.6605402E-27 |
1.0E-33 |
kg |
0.59 |
| Atomic mass constant in
eV |
|
931.49432 |
0.00028 |
MeV |
0.30 |
| Faraday constant |
F |
96485.309 |
29.0E-3 |
C mol-1 |
0.30 |
| Molar Planck constant |
NAh |
3.99031323E-10 |
36.0E-18 |
J s mol-1 |
0.089 |
| |
NAhc |
0.11962658 |
11.0E-9 |
J m mol-1 |
0.089 |
| Molar gas constant |
R |
8.314510 |
0.000070 |
J mol-1 K-1 |
8.4 |
| Boltzmann constant |
k |
1.380658E-23 |
120.0E-30 |
J K-1 |
8.4 |
| Boltzmann constant in
eV |
|
8.617385E-05 |
730.0E-12 |
eV K-1 |
8.4 |
| Boltzmann constant in
hertz |
|
2.083674E+10 |
180.0E+3 |
Hz K-1 |
8.4 |
| Boltzmann constant in
wavenumbers |
|
69.50387 |
0.00059 |
m-1 K-1 |
8.4 |
| Molar volume (ideal gas),RT/p
(at 273.15K, 101325 Pa) |
Vm |
22414.10 |
0.19 |
cm3 mol-1 |
8.4 |
| Loschmidt constant NA/Vm |
n0 |
2.686763E+25 |
230.0E+18 |
m-3 |
8.5 |
| Stefan-Boltzmann constant
(p2/60)k4/hbar3c2 |
s |
5.67051E-08 |
1.9E-12 |
W m-2 K-4 |
34 |
| First radiation constant
2phc2 |
c1 |
3.7417749E-16 |
220.0E-24 |
W m2 |
0.60 |
| Second radiation constant
hc/k |
c2 |
0.01438769 |
120.0E-9 |
m K |
8.4 |
| Wien displacement law
constant |
b |
2.897756E-03 |
24.0E-9 |
m K |
8.4 |
| Conversion
factors and units |
| Electron volt |
eV |
1.60217733E-19 |
49.0E-27 |
J |
0.30 |
| Atomic mass unit (unified) |
u |
1.6605402E-27 |
1.0E-33 |
kg |
0.59 |
| Standard atmosphere |
atm |
101325 |
|
Pa |
exact |
| Standard acceleration
of gravity |
gn |
9.80665 |
|
m s-2 |
exact |
| As-maintained
electrical units |
| BIPM-maintained ohm,W69-BI
as of 1 Jan 1985 |
WBI85 |
0.999998437 |
0.000000050 |
W |
0.050 |
| drift rate of W69-BI |
dW69-BI/dt |
-0.0566 |
0.0015 |
mW
/ yr |
|
| BIPM-maintained volt,
483594 GHz(h/2e) |
V76-BI |
0.99999241 |
0.00000030 |
V |
0.30 |
| BIPM-maintained ampere,
ABIPM=V76-BI/W69-BI |
ABI85 |
0.99999397 |
0.00000030 |
A |
0.30 |
| X-ray
standards |
| Cu x-unit:l(CuKa1)=1537.400
xu |
xu(CuKa1) |
1.00207789E-13 |
70.0E-21 |
m |
0.70 |
| Mo x-unit:l(MoKa1)=707.831
xu |
xu(MoKa1) |
1.00209938E-13 |
45.0E-21 |
m |
0.45 |
| A *:=l(WKa1)=0.2090100A* |
A* |
1.00001481E-10 |
92.0E-18 |
m |
0.92 |
| Lattice spacing of Si(in
vacuum, 22.5C) |
a |
0.54310196 |
0.00000011 |
nm |
0.21 |
| d220=a/(8)0.5 |
d220 |
0.192015540 |
0.000000040 |
nm |
0.21 |
| Molar volume of Si, M(Si)/r(Si)=NAa3/8 |
Vm(Si) |
12.0588179 |
0.0000089 |
cm3 mol-1 |
0.74 |
