The Sub-Atomic Constant Page

Keep in mind the following unit conversions:

1 eV (= electron-volt)

= 1.602·10-19 J

1 Å (= Angstrom)

= 10-10 m

For further information on all constants you could possibly want to know about, check out NIST. They collect this information as one of their main missions.

Quantity

Symbol

Value

Atomic mass unit

u

= 1.6605·10-27 kg
= 931.49 MeV/c2

Electron Charge

e

= 1.602·10-19 C

Electron Mass

me

= 9.109·10-31 kg
= 5.486·10-4 u
= 0.511 MeV/c2

Proton Mass

mp

= 1.6726·10-27 kg
= 1.007276 u
= 938.27 MeV/c2

Neutron Mass

mn

= 1.6749·10-27 kg
= 1.008665 u
= 939.57 MeV/c2

Speed of light

c

= 2.9979·108 m/s

Planck's constant

h

= 6.626·10-34 J·s
= 4.136·10-15 eV·s

Avogadro's Number

NA

= 6.0221367·1023 mol-1

Now we can use these constants and form useful combinations with them that make our computations easier:

Quantity

Formula

Value

(= hbar)

= h / (2p)

= 1.0546·10-34 J·s
= 6.582·10-16 eV·s

h·c

= 1.9864·10-25 J·m
= 1.240·10-6 eV·m

·c

= 3.161·10-26 J·m
= 1.9734·10-7 eV·m
= 197.34 MeV·fm

e / h

= 2.418·1014 A/J

Bohr radius, a0

= e0 h2 / me e2 p

= 0.5292·10-10 m
= 0.5292 A°

Compton wavelength, lc

= h / mc e

= 2.426·10-12 m

Fine structure const., a

= e2 / 2 e0 h c

= 7.29735·10-3
~ 1/137

Classical electron radius

= a2 a0

= 2.818·10-15 m
= 2.818 fm

Rydberg constant, R

= a2 me c / 2 h

= 1.0973·107 m-1

Hartree energy, Eh

= 2 R h c

= 4.360·10-18 J
= 27.21 eV

Bohr energy, Eb

= R h c

= 2.180·10-18 J
= 13.61 eV