Physical constants and conventions

1. Table of Fundamental Physical Constants

   This data is derived from the 1986 CODATA recommended values of the fundamental physical constants. It is not intended to be an authoritative source: typographical errors are possible and the data has been reformatted. You can find the more complete information from the NIST at hppt://physics.nist.gov/PhysRefData/codata86/codata86.html.



Constant

Symbol

Value

Units

1

Speed of light in vacuum

(c)

299792458

m s-1

2

Permeability of vacuum

(mu_0)

1.25663706143592e-06

NA-2

3

Permittivity of vacuum

(epsilon_0)

8.854187817e-12

F m-1

4

Newtonian constant of gravitation

(G)

6.67259e-11±8.5e-15

m3 kg-1s-2

5

Planck constat

(h)

6.6260755e-34± 4.0e-40

J s

6

Planck constant in eV

 

4.1356692e-15 ± 1.2e-21

eV s

7

h-bar

(h-bar)

1.05457266e-34 ± 6.3e-41

J s

8

h-bar in eV

 

6.582122e-16± 2.0e-22

eVs

9

Planck mass

(m_p)

2.17671e-08±1.4e-12

kg

10

Planck length

(l_p)

1.61605e-35±1.0e-39

m

11

Planck time

(t_p)

5.39056e-44 ±3.4e-48

s

12

Elementary charge

(e)

1.60217733e-19±4.9e-26

C

13

Magnetic flux quantum

(Phi_0)

2.067836461e-15±6.1e-22

Wb

14

Josephson frequency-voltage

quotient

 

483597670000000

±1.4e+0.8

V-1 s-1

15

Quantized Hall conductance

 

3.87404614e-0.5± 1.7e-12

Omega-1

16

Quantized Hall resistance

(R_H)

25812.8056±0.0012

Omega

17

Bohr magnetion

(mu_B)

9.2740154e-24±3.1e-30

J T-1

18

Bohr magneton in eV

 

5.78838263e-0.5±5.2e-12

e V T-1

19

Bohr magnetion in Hz

 

13996241800±4200

T-1 s-1

20

Bohr magnetion in wavenumbers

 

46.686437±1.4e-0.5

m-1T-1

21

Bohr magnetion in kelvins

 

0.6717099±5.7e-0.6

K T-1

22

Nuclear magneton

(mu_N)

5.0507866e-27±1.7e-33

J T-1

23

Nuclear magneton in eV

 

3.15245166e-0.8±2.8e-15

eV T -1

24

Nuclear magneton in Hz

 

76225591.4±2.3

T-1S-1

25

Nuclear magneton in wavenumbers

 

0.0254262281±7.7e-0.9

m-1 T-1

26

Nuclear magneton in kelvins

 

0.0003658246±3.1e-0.9

K T-1

27

Fine structure constant

(alpha)

0.00729735308 ± 3.3e-10

 

28

Inverse fine structure constant

 

137.0359895±6.1e-0.6

 

29

Rydberg constant

(Ry)

10973731.534 ± 0.013

m-1

30

Rydberg constant in Hz

 

3.2898419499e+15

±3.9e+0.6

s-1

31

Rydberg constant in joules

 

2.1798741e-18±1.3e-24

J

32

Rydberg constant in eV

 

13.6056981±4.0e-0.6

eV

33

Bohr radius

(a_0)

5.29177249e-11±2.4e-18

m

34

Hartree energy

(E_h)

4.3597482e-18±2.6e-24

J

35

Hartree energy in eV

 

27.2113961± 8.1e-0.6

eV

36

Quantum of circulation

 

0.000363694807±3.3e-11

m2  s-1

37

Electron mass

(m_e)

9.1093897e-31±5.4e -37

kg

38

Electron mass in u

 

0.000548579903±1.3e-11

u

39

Electron mass in eV

 

510999.06±0.15

eV

40

Electron-muon mass ration

 

0.00483633218±7.1e-10

 

41

Electron-proton mass ratio

 

0.000544617013 ±1.1e-11

 

42

Electron-deuteron mass ratio

 

0.00272443707±6e -12

 

43

Electron-alpha-particle mass ratio

 

0.000137093354±3e-12

 

44

Electron specific charge

 

-175881962000±-53000

C kg-1

45

Electron molar mass

 

5.48579903e-07±1.3e-14

kg mol-1

46

Electron Compton wavelength

(lambda

_C)

2.42631058e-12±2.2e-19

m

47

Electron Compton wavelength

over 2 pi

(lambda

-bar_C)

3.86159323e-13±3.5e-20

m

48

Electron classical radius

(r_e)

2.81794092e-15±3.8e-22

m

49

Electron Thomson cross section

(sigma

_e)

6.6524616 -29±1.8e -35

m2

50

Electron magnetic moment

 

9.2847701e-24±3.1e-30

J T-1

51

Electron magnetic moment

in Bohr magnetons

 

1.001159652193±1.0e-11

 

52

Electron magnetic moment

in umclear magnetons

 

1838.282 ±3.7-05

 

53

Electron magnetic moment anomaly

(a_e)

0.001159652193±1.0e-11

 

54

Electron g-factor

(g-e)

2.002319304386±2.0e-11

 

55

Electron-muon magnetic moment

ratio

 

206.766967 ±3.0e-05

 

56

Electron-proton magnetic moment

ratio

 

658.2106881±6.6e -06

 

57

Muon mass

 

1.8835327e-28±1.1e-34

kg

58

Muon mass in u