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] 
   Bohr radius in meter 
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] 
   classical electron radius in meter 
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