Fundamental Physical Constants / Naturkonstanten

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Exponent (base 10) of decimal numbers: e n = 10n .
Units are separated by spaces, positive numbers denote powers, all units to the right of the slash are in the denominator (negative powers).

Planck constant / Plancksches Wirkungsquantum h:
6.6260755e-34 J s
{h 2 π} = 1.05457266e-34 J s
Boltzmann constant / Boltzmannsche Konstante
kB: 1.380658e-23 J/K
Elementary charge / Elementarladung e:
1.60217733e-19 C
Avogadro number / Avogadrosche Zahl
NA: 6.0221367e23 particles/mol
Speed of light / Lichtgeschwindigkeit c:
2.99792458e8 m/s
Permeability of vacuum / Permeabilität des Vakuums

μ0 = 4 π e-7 T2 m3/J
12.566370614e-7 T2 m3/J
Permittivity of vacuum / Dielektrizitätskonstante

ε0 = {1 μ0 c2}
8.854187817e-12 C2/J m
Fine structure constant / Feinstrukturkonstante
α = 1 / 137.0359895
Electron rest mass / Elektronenruhemasse
me: 9.1093897e-31 kg
Proton rest mass / Protonenruhemasse
mp: 1.6726231e-27 kg
Neutron rest mass / Neutronenruhemasse
mn: 1.6749286e-27 kg
Bohr magneton / Bohrsches Magneton

μB = {e h 4 π me}
9.2740154e-24 J/T
Nuclear magneton / Kernmagneton

μN = {e h 4 π mp}
5.0507866e-27 J/T
Free electron g factor / g-Faktor des freien Elektrons
ge = 2.002319304386
Free electron gyromagnetic ratio / gyromagnetisches Verhältnis des freien Elektrons

γe = {2 π ge μB h}
1.7608592e11 1/s T
e 2 π} = 28.024944 GHz/T
Electron magnetic moment / magnetisches Moment des Elektrons

μe = -{12} ge μB
-9.2847701e-24 J/T
Proton gyromagnetic ratio (H2O) / gyromagnetisches Verhältnis der Protonen in Wasser

γp = 2.67515255e8 1/s T
p 2 π} = 42.576375 MHz/T
Proton magnetic moment / magnetisches Moment des Protons
μp = 1.41060761e-26 J/T
Proton-electron ratios / Proton-Elektron-Verhältnisse

{mp me} = 1836.152701
e μp} = 658.2106881
e γp} = 658.2275841 (protons in water)

Charge-to-mass ratio for electron / Ladungs-Masse-Verhältnis des Elektrons

{e me} = 1.75880e11 C/kg
Atomic mass unit / Einheit der Atommasse amu:
1.66057e-27 kg
Bohr radius / Bohrscher Radius
a0: 5.29177e-11 m
Electron radius / Elektronenradius
re: 2.81792e-15 m
Gas constant / Gaskonstante R:

R = NA kB
8.31451 m2 kg/s2 K mol
Molar volume / Molvolumen
Vmol: 22.41383 m3/kmol
Faraday constant / Faradaysche Konstante F:

F = NA e
9.64846e4 C/mol
Proton g factor (Lande factor) / g-Faktor des Protons
gH: 5.585
Gravitational constant / Gravitationskonstante G

(6.673 +- 0.010)e-11 m3/kg s2 (CODATA)
Acceleration due to gravity / Erdbeschleunigung g:
9.80665 m/s2
Compton wavelength of the electron / Compton-Wellenlänge des Elektrons

λc = {h me c}
2.42631e-12 m

Further Useful Constants / Weitere nützliche Konstanten

Atomic energy unit / atomare Energieeinheit Hartree

1 Hartree = {e2 4 π ε0 a0}
1 Hartree = 2.625501e+06 J/mol (approx. 627.5 kcal/mol)

Useful Conversion Factors / Nützliche Umrechnungsfaktoren

NMR (Nuclear Magnetic Resonance)

Proton Larmor frequency

νp = {γp 2 π} B
νp = 42.5764 MHz/T (H2O)

EPR (Electron Paramagnetic Resonance, ESR)

Electron Larmor frequency

νe = {γe 2 π} {g ge} B
νe / GHz = 13.9962 g B / T
g = 0.07144775 e / GHz B / T}
g = 3.04199 e / GHz νp / MHz}
B / T = 0.0234872 νp / MHz
Conversion of Units

1 G = 0.1 mT
1 T = 10 kG
1 mT = 10 G
A / MHz = 2.80249 {g ge} A / G
A / MHz = 28.0249 {g ge} A / mT
A / MHz = 13.9962 g A / mT
A / MHz = 2.99792e4 A / cm-1
A / cm-1 = 0.333564e-4 A / MHz
A / cm-1 = 4.66863e-4 g A / mT


Note: Physical quantities should be typeset in an italic font, whereas units should be typeset in a regular (non-italic) font. Due to problems with currently available browsers, this page (or parts of it) may not be rendered according to these rules.

Burkhard Kirste, 1996-10-28