# PhysicalConstants

PhysicalConstants is a global table giving the values units and definitions of many constants needed for calculations. Each constant is a table with three elements, value, unit and description. For the electron mass one has for example:

Example.Quanty
print(PhysicalConstants.me.value)

which returns:

9.10938356e-31

the electron mass. The unit of the constant is stored in the variable .unit, for the electron mass this is:

Example.Quanty
print(PhysicalConstants.me.units)

which returns:

kg

A description of the constant can be obtained from the variable .description:

Example.Quanty
print(PhysicalConstants.me.description)

which returns:

Electron mass in kilogram

A printout of all information can be obtained when one directly prints the original variable. For the electron mass this is:

Example.Quanty
print(PhysicalConstants.me)

which returns:

-- Electron mass in kilogram
9.109383560000000E-31 --[[ kg ]]--

A list of all implemented constants can be obtained by printing all elements in the global table PhysicalConstants:

Example.Quanty
for constant,var in pairs(PhysicalConstants) do
io.write(string.format("PhysicalConstants.%s\n",constant))
io.write(string.format("  %17.10E [%s]\n",var.value,var.units))
io.write(string.format("   %s\n",var.description))
end

which returns:

PhysicalConstants.RK
2.5812807455E+04 [Ohm]
Klaus von Klitzing constant in units of Ohm
PhysicalConstants.ge
-2.0023193044E+00 []
Electron g factor
PhysicalConstants.R
8.3144598000E+00 [J mol^-1 K^-1]
Molar gas constant in Joule per mole per Kelvin
PhysicalConstants.NA
6.0221408570E+23 [mol^-1]
Avogadro constant in units of number of particles per mole
PhysicalConstants.a0
5.2917721067E-11 [m]
PhysicalConstants.mun
-9.6623650000E-27 [J T^-1]
Neutron magnetic moment in Joule per Tesla
PhysicalConstants.me
9.1093835600E-31 [kg]
Electron mass in kilogram
PhysicalConstants.lPlanck
1.6162290000E-35 [m]
Planck length in meter
PhysicalConstants.mPlanck
2.1764700000E-08 [kg]
Planck mass in kilogram
PhysicalConstants.mumu
-4.4904482600E-26 [J T^-1]
Muon magnetic moment in Joule per Tesla
PhysicalConstants.lambdaCtau
6.9778700000E-16 [m]
Tau Compton wavelength in units of meter
PhysicalConstants.e
1.6021766208E-19 [C]
Elementary charge in units of Coulomb
PhysicalConstants.muN
5.0507836990E-27 [J T^-1]
Nuclear magneton in Joule per Tesla
PhysicalConstants.c
2.9979245800E+08 [m s^-1]
speed of light in vacuum in meter per second
PhysicalConstants.tPlanck
5.3911600000E-44 [s]
Planck time in seconds
PhysicalConstants.mue
-9.2847646200E-24 [J T^-1]
Electron magnetic moment in Joule per Tesla
PhysicalConstants.malpha
6.6446572300E-27 [kg]
alpha particle mass in kilogram
PhysicalConstants.h
6.6260700400E-34 [J s^-1]
Planck’s constant in Joule per second
PhysicalConstants.mu
1.6605390400E-27 [kg]
Atomic mass constant in kilogram
PhysicalConstants.mmu
1.8835315940E-28 [kg]
Muon mass in kilogram
PhysicalConstants.gd
8.5743823110E-01 []
Deuteron g factor
PhysicalConstants.alpha
7.2973525664E-03 []
fine-structure constant (1/(4 pi epsilon0) e^2/(hbar c)
PhysicalConstants.lambdaCn
1.3195909040E-15 [m]
Neutron Compton wavelength in units of meter
PhysicalConstants.hbar
1.0545718000E-34 [J s^-1]
Planck’s constant divided by 2 pi in Joule per second
PhysicalConstants.gmu
-2.0023318418E+00 []
Muon g factor
PhysicalConstants.kB
1.3806485200E-23 [J K^-1]
Boltzmann constant in units of Joule per Kelvin
PhysicalConstants.md
3.3435837190E-27 [kg]
Deuteron mass in kilogram
PhysicalConstants.muB
9.2740099940E-24 [J T^-1]
Bohr magneton in Joule per Tesla
PhysicalConstants.mu0
1.2566370614E-06 [N A^-2]
Magnetic constant (vacuum permeability) in Newton per Ampare squared
PhysicalConstants.lambdaCp
1.3214098540E-15 [m]
Proton Compton wavelength in units of meter
PhysicalConstants.epsilon0
8.8541878176E-12 [F m^-1]
Electric constant (vacuum permittivity) in Farads per meter
PhysicalConstants.G0
7.7480917310E-05 [S]
Conductance quantum in units of Siemens
PhysicalConstants.gn
-3.8260854500E+00 []
Neutron g factor
PhysicalConstants.re
2.8179403227E-15 [m]
PhysicalConstants.F
9.6485332890E+04 [C mol^-1]
Faraday constant in units of Coulomb per mole
PhysicalConstants.sigma
5.6703670000E-08 [W m^-2 K^-4]
Stefan-Boltzmann constant in Wat per meter square per Kelvin to the forth power
PhysicalConstants.mud
4.3307350400E-27 [J T^-1]
Deuteron magnetic moment in Joule per Tesla
PhysicalConstants.mn
1.6749274710E-27 [kg]
Neutron mass in kilogram
PhysicalConstants.TPlanck
1.4168080000E+32 [K]
Planck temperature in Kelvin
PhysicalConstants.mup
1.4106067873E-26 [J T^-1]
Proton magnetic moment in Joule per Tesla
PhysicalConstants.R0
1.2906403728E+04 [Ohm]
Resistance quantum in units of Ohm
PhysicalConstants.KJ
4.8359785250E+14 [Hz V^_1]
Josephson constant in Herz per Volt
PhysicalConstants.G
6.6740800000E-11 [m^3 kg^-1 s^-2]
Newtonian constant of graviation in units of meter cubed per kilogram per second squared
PhysicalConstants.lambdaCe
2.4263102367E-12 [m]
Electron Compton wavelength in units of meter
PhysicalConstants.Phi0
2.0678338310E-15 [Wb]
Magnetic flux quantum in units of Weber
PhysicalConstants.mp
1.6726218980E-27 [kg]
Proton mass in kilogram
PhysicalConstants.mtau
3.1670000000E-27 [kg]
Tau mass in kilogram
PhysicalConstants.gp
5.5856947020E+00 []
Proton g factor
PhysicalConstants.Z0
3.7673031346E+02 [Ohm]
Characteristic impedance of vacuum in Ohm
PhysicalConstants.lambdaCmu
1.1734441110E-14 [m]
Muon Compton wavelength in units of meter

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