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documentation:language_reference:constants:physical_constants [2016/10/10 09:41]
127.0.0.1 external edit
documentation:language_reference:constants:physical_constants [2017/08/02 15:38] (current)
Maurits W. Haverkort
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 ### ###
-alligned paragraph text+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: 
 +<code Quanty Example.Quanty>​ 
 +print(PhysicalConstants.me.value) 
 +</​code>​ 
 +which returns: 
 +<file Quanty_Output>​ 
 +9.10938356e-31 
 +</​file>​ 
 +the electron mass. The unit of the constant is stored in the variable .unit, for the electron mass this is: 
 +<code Quanty Example.Quanty>​ 
 +print(PhysicalConstants.me.units) 
 +</​code>​ 
 +which returns: 
 +<file Quanty_Output>​ 
 +kg 
 +</​file>​ 
 +A description of the constant can be obtained from the variable .description:​ 
 +<code Quanty Example.Quanty>​ 
 +print(PhysicalConstants.me.description) 
 +</​code>​ 
 +which returns: 
 +<file Quanty_Output>​ 
 +Electron mass in kilogram 
 +</​file>​ 
 +A printout of all information can be obtained when one directly prints the original variable. For the electron mass this is: 
 +<code Quanty Example.Quanty>​ 
 +print(PhysicalConstants.me) 
 +</​code>​ 
 +which returns: 
 +<file Quanty_Output>​ 
 +-- Electron mass in kilogram  
 + ​9.109383560000000E-31 --[[ kg ]]-- 
 +</​file>​
 ### ###
- 
-===== Example ===== 
  
 ### ###
-description text +A list of all implemented constants can be obtained by printing all elements in the global table PhysicalConstants:​
-### +
- +
-==== Input ====+
 <code Quanty Example.Quanty>​ <code Quanty Example.Quanty>​
--- some example code+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
 </​code>​ </​code>​
- +which returns: 
-==== Result ==== +<file Quanty_Output
-<WRAP center box 100+PhysicalConstants.RK  
-text produced as output +   ​2.5812807455E+04 [Ohm]  
-</WRAP>+   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 
 +</file> 
 +###
  
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