Physical Constants

Collaboration diagram for Physical Constants:

Variables
const doublereal	Pi = 3.14159265358979323846
	Pi.
const doublereal	SqrtPi = std::sqrt(Pi)
	sqrt(Pi)

Variations of the Gas Constant
Cantera uses the MKS system of units. The unit for moles is defined to be the kmol.
const doublereal	Avogadro = 6.02214129e26
	Avogadro's Number [number/kmol].
const doublereal	GasConstant = 8314.4621
	Universal Gas Constant. [J/kmol/K].
const doublereal	logGasConstant = std::log(GasConstant)
const doublereal	OneAtm = 1.01325e5
	One atmosphere [Pa].
const doublereal	GasConst_cal_mol_K = GasConstant / 4184.0
	Universal gas constant in cal/mol/K.
const doublereal	Boltzmann = GasConstant / Avogadro
	Boltzmann's constant [J/K].
const doublereal	Planck = 6.62607009e-34
	Planck's constant. [J-s].
const doublereal	Planck_bar = Planck / (2 * Pi)
const doublereal	logBoltz_Planck = std::log(Boltzmann / Planck)
	log(k/h)
const doublereal	StefanBoltz = 5.670373e-8
	Stefan-Boltzmann constant.

Electron Properties
const doublereal	ElectronCharge = 1.602176565e-19
const doublereal	ElectronMass = 9.10938291e-31
const doublereal	Faraday = ElectronCharge * Avogadro

Electromagnetism
Cantera uses the MKS unit system.
const doublereal	lightSpeed = 299792458.0
	Speed of Light (m/s).
const doublereal	permeability_0 = 4.0e-7*Pi
	Permeability of free space \( \mu_0 \) in N/A^2.
const doublereal	epsilon_0 = 1.0 / (lightSpeed*lightSpeed*permeability_0)
	Permittivity of free space \( \epsilon_0 \) in F/m.

Detailed Description

All physical constants are stored here.

Cantera uses the MKS system of units. The unit for moles is defined to be the kmol. All values of physical constants are consistent with the 2010 CODATA recommendations.

Variable Documentation

const doublereal Pi = 3.14159265358979323846

Pi.

Definition at line 62 of file ct_defs.h.

Referenced by WaterProps::ADebye(), LorentzianProfile::cumulative(), Voigt::F(), TransportFactory::fitProperties(), Cantera::Frot(), Cantera::getStick(), LorentzianProfile::profile(), SimpleTransport::updateDiff_T(), and DustyGasTransport::updateKnudsenDiffCoeffs().

const doublereal SqrtPi = std::sqrt(Pi)

sqrt(Pi)

Definition at line 64 of file ct_defs.h.

Referenced by Voigt::F(), Cantera::Frot(), GaussianProfile::profile(), and Voigt::profile().

const doublereal Avogadro = 6.02214129e26

Avogadro's Number [number/kmol].

Definition at line 74 of file ct_defs.h.

Referenced by WaterProps::ADebye(), TransportFactory::fitProperties(), TransportFactory::setupMM(), Unit::Unit(), and VCS_SOLVE::vcs_nondim_Farad().

const doublereal GasConstant = 8314.4621

Universal Gas Constant. [J/kmol/K].

Definition at line 77 of file ct_defs.h.

Referenced by ThermoPhase::_RT(), MixtureFugacityTP::_updateReferenceStateThermo(), VPSSMgr_Water_ConstVol::_updateRefStateThermo(), VPSSMgr_Water_HKFT::_updateRefStateThermo(), VPSSMgr_ConstVol::_updateStandardStateThermo(), VPSSMgr_Water_ConstVol::_updateStandardStateThermo(), VPSSMgr_IdealGas::_updateStandardStateThermo(), VPSSMgr_Water_HKFT::_updateStandardStateThermo(), SurfPhase::_updateThermo(), IdealGasPhase::_updateThermo(), IdealSolidSolnPhase::_updateThermo(), vcs_VolPhase::_updateVolPM(), WaterProps::ADebye(), HMWSoln::ADebye_J(), HMWSoln::ADebye_L(), HMWSoln::ADebye_V(), InterfaceKinetics::applyButlerVolmerCorrection(), InterfaceKinetics::applyExchangeCurrentDensityFormulation(), IdealSolnGasVPSS::calcDensity(), MixtureFugacityTP::calculatePsat(), MultiPhaseEquil::computeReactionSteps(), ConstCpPoly::ConstCpPoly(), PDSS_Water::constructSet(), IdealSolnGasVPSS::cp_mole(), ConstDensityThermo::cp_mole(), StoichSubstance::cp_mole(), RedlichKwongMFTP::cp_mole(), SingleSpeciesTP::cp_mole(), PDSS_ConstVol::cp_mole(), PDSS_IdealGas::cp_mole(), PDSS_IonsFromNeutral::cp_mole(), IdealSolidSolnPhase::cp_mole(), PDSS_SSVol::cp_mole(), LatticePhase::cp_mole(), IdealGasPhase::cp_mole(), PDSS::cp_R(), PDSS_Water::cp_R_ref(), PDSS::cpDelp_mole(), IdealSolnGasVPSS::cv_mole(), RedlichKwongMFTP::cv_mole(), PDSS_IdealGas::cv_mole(), IdealGasPhase::cv_mole(), RedlichKisterVPSSTP::cv_mole(), MargulesVPSSTP::cv_mole(), MixedSolventElectrolyte::cv_mole(), PhaseCombo_Interaction::cv_mole(), PDSS_IdealGas::density(), PDSS_IonsFromNeutral::density(), WaterProps::density_T(), RedlichKwongMFTP::densityCalc(), MixtureFugacityTP::densityCalc(), RedlichKwongMFTP::dpdVCalc(), IdealSolnGasVPSS::enthalpy_mole(), ConstDensityThermo::enthalpy_mole(), PDSS_ConstVol::enthalpy_mole(), PDSS_IdealGas::enthalpy_mole(), PDSS_IonsFromNeutral::enthalpy_mole(), IdealSolidSolnPhase::enthalpy_mole(), PDSS_SSVol::enthalpy_mole(), LatticePhase::enthalpy_mole(), IdealGasPhase::enthalpy_mole(), PDSS_HKFT::enthalpy_RT(), PDSS::enthalpy_RT(), PDSS_Water::enthalpy_RT_ref(), PDSS::enthalpyDelp_mole(), IdealSolnGasVPSS::entropy_mole(), ConstDensityThermo::entropy_mole(), StoichSubstance::entropy_mole(), PDSS_ConstVol::entropy_mole(), PDSS_IdealGas::entropy_mole(), RedlichKwongMFTP::entropy_mole(), PDSS_IonsFromNeutral::entropy_mole(), IdealSolidSolnPhase::entropy_mole(), PDSS_SSVol::entropy_mole(), LatticePhase::entropy_mole(), IdealGasPhase::entropy_mole(), PDSS::entropy_R(), PDSS_Water::entropy_R_ref(), PDSS::entropyDelp_mole(), ChemEquil::equilibrate(), ChemEquil::estimateElementPotentials(), AxiStagnFlow::eval(), FreeFlame::eval(), TransportFactory::fitProperties(), FixedChemPotSSTP::FixedChemPotSSTP(), RedlichKwongMFTP::getActivityCoefficients(), Cantera::getArrhenius(), SemiconductorPhase::getChemPotentials(), ConstDensityThermo::getChemPotentials(), SurfPhase::getChemPotentials(), MolarityIonicVPSSTP::getChemPotentials(), IdealSolnGasVPSS::getChemPotentials(), IonsFromNeutralVPSSTP::getChemPotentials(), RedlichKwongMFTP::getChemPotentials(), RedlichKisterVPSSTP::getChemPotentials(), MargulesVPSSTP::getChemPotentials(), MixedSolventElectrolyte::getChemPotentials(), PhaseCombo_Interaction::getChemPotentials(), IdealSolidSolnPhase::getChemPotentials(), IdealMolalSoln::getChemPotentials(), IdealGasPhase::getChemPotentials(), LatticePhase::getChemPotentials(), DebyeHuckel::getChemPotentials(), HMWSoln::getChemPotentials(), StoichSubstance::getChemPotentials_RT(), SingleSpeciesTP::getChemPotentials_RT(), IdealSolidSolnPhase::getChemPotentials_RT(), WaterSSTP::getCp_R(), StoichSubstance::getCp_R(), SurfPhase::getCp_R(), VPSSMgr_Water_ConstVol::getCp_R_ref(), WaterSSTP::getCp_R_ref(), AqueousKinetics::getDeltaSSEnthalpy(), GasKinetics::getDeltaSSEnthalpy(), InterfaceKinetics::getDeltaSSEnthalpy(), AqueousKinetics::getDeltaSSEntropy(), GasKinetics::getDeltaSSEntropy(), InterfaceKinetics::getDeltaSSEntropy(), PhaseCombo_Interaction::getdlnActCoeffds(), MargulesVPSSTP::getdlnActCoeffds(), MixedSolventElectrolyte::getdlnActCoeffds(), ThermoPhase::getElementPotentials(), WaterSSTP::getEnthalpy_RT(), StoichSubstance::getEnthalpy_RT(), StoichSubstanceSSTP::getEnthalpy_RT(), MineralEQ3::getEnthalpy_RT(), SurfPhase::getEnthalpy_RT(), IdealSolidSolnPhase::getEnthalpy_RT(), LatticePhase::getEnthalpy_RT(), VPSSMgr_Water_ConstVol::getEnthalpy_RT_ref(), WaterSSTP::getEnthalpy_RT_ref(), WaterSSTP::getEntropy_R(), StoichSubstance::getEntropy_R(), PureFluidPhase::getEntropy_R(), SurfPhase::getEntropy_R(), VPSSMgr_Water_ConstVol::getEntropy_R_ref(), WaterSSTP::getEntropy_R_ref(), AqueousKinetics::getEquilibriumConstants(), GasKinetics::getEquilibriumConstants(), InterfaceKinetics::getEquilibriumConstants(), AqueousTransport::getFluidMobilities(), SimpleTransport::getFluidMobilities(), LiquidTransport::getFluidMobilities(), VPSSMgr_Water_HKFT::getGibbs_ref(), VPSSMgr_General::getGibbs_ref(), VPSSMgr_Water_ConstVol::getGibbs_ref(), StoichSubstance::getGibbs_ref(), PureFluidPhase::getGibbs_ref(), SingleSpeciesTP::getGibbs_ref(), VPSSMgr::getGibbs_ref(), LatticeSolidPhase::getGibbs_ref(), IdealSolidSolnPhase::getGibbs_ref(), LatticePhase::getGibbs_ref(), WaterSSTP::getGibbs_RT(), StoichSubstance::getGibbs_RT(), SurfPhase::getGibbs_RT(), VPSSMgr_Water_ConstVol::getGibbs_RT_ref(), WaterSSTP::getGibbs_RT_ref(), WaterSSTP::getIntEnergy_RT(), VPSSMgr::getIntEnergy_RT(), StoichSubstanceSSTP::getIntEnergy_RT(), MineralEQ3::getIntEnergy_RT(), IdealSolidSolnPhase::getIntEnergy_RT(), StoichSubstanceSSTP::getIntEnergy_RT_ref(), MineralEQ3::getIntEnergy_RT_ref(), MetalSHEelectrons::getIntEnergy_RT_ref(), IdealSolidSolnPhase::getIntEnergy_RT_ref(), LTI_StefanMaxwell_PPN::getMatrixTransProp(), DustyGasTransport::getMolarFluxes(), SurfPhase::getPartialMolarCp(), IdealSolnGasVPSS::getPartialMolarCp(), MolarityIonicVPSSTP::getPartialMolarCp(), SingleSpeciesTP::getPartialMolarCp(), RedlichKwongMFTP::getPartialMolarCp(), RedlichKisterVPSSTP::getPartialMolarCp(), MargulesVPSSTP::getPartialMolarCp(), MixedSolventElectrolyte::getPartialMolarCp(), PhaseCombo_Interaction::getPartialMolarCp(), IdealGasPhase::getPartialMolarCp(), IdealSolidSolnPhase::getPartialMolarCp(), IdealMolalSoln::getPartialMolarCp(), LatticePhase::getPartialMolarCp(), DebyeHuckel::getPartialMolarCp(), HMWSoln::getPartialMolarCp(), SurfPhase::getPartialMolarEnthalpies(), IdealSolnGasVPSS::getPartialMolarEnthalpies(), MolarityIonicVPSSTP::getPartialMolarEnthalpies(), SingleSpeciesTP::getPartialMolarEnthalpies(), IonsFromNeutralVPSSTP::getPartialMolarEnthalpies(), RedlichKwongMFTP::getPartialMolarEnthalpies(), RedlichKisterVPSSTP::getPartialMolarEnthalpies(), MargulesVPSSTP::getPartialMolarEnthalpies(), MixedSolventElectrolyte::getPartialMolarEnthalpies(), PhaseCombo_Interaction::getPartialMolarEnthalpies(), IdealGasPhase::getPartialMolarEnthalpies(), IdealSolidSolnPhase::getPartialMolarEnthalpies(), LatticePhase::getPartialMolarEnthalpies(), DebyeHuckel::getPartialMolarEnthalpies(), HMWSoln::getPartialMolarEnthalpies(), SurfPhase::getPartialMolarEntropies(), IdealSolnGasVPSS::getPartialMolarEntropies(), MolarityIonicVPSSTP::getPartialMolarEntropies(), SingleSpeciesTP::getPartialMolarEntropies(), IonsFromNeutralVPSSTP::getPartialMolarEntropies(), RedlichKwongMFTP::getPartialMolarEntropies(), RedlichKisterVPSSTP::getPartialMolarEntropies(), MargulesVPSSTP::getPartialMolarEntropies(), MixedSolventElectrolyte::getPartialMolarEntropies(), PhaseCombo_Interaction::getPartialMolarEntropies(), IdealGasPhase::getPartialMolarEntropies(), IdealMolalSoln::getPartialMolarEntropies(), IdealSolidSolnPhase::getPartialMolarEntropies(), LatticePhase::getPartialMolarEntropies(), DebyeHuckel::getPartialMolarEntropies(), HMWSoln::getPartialMolarEntropies(), IdealSolnGasVPSS::getPartialMolarIntEnergies(), SingleSpeciesTP::getPartialMolarIntEnergies(), RedlichKwongMFTP::getPartialMolarIntEnergies(), IdealGasPhase::getPartialMolarIntEnergies(), RedlichKwongMFTP::getPartialMolarVolumes(), DebyeHuckel::getPartialMolarVolumes(), HMWSoln::getPartialMolarVolumes(), SingleSpeciesTP::getPureGibbs(), LatticePhase::getPureGibbs(), Cantera::getRateCoefficient(), VPSSMgr::getStandardChemPotentials(), StoichSubstanceSSTP::getStandardChemPotentials(), MineralEQ3::getStandardChemPotentials(), MetalSHEelectrons::getStandardChemPotentials(), IdealGasPhase::getStandardChemPotentials(), Cantera::getStick(), MultiTransport::getThermalDiffCoeffs(), PDSS_ConstVol::gibbs_mole(), PDSS_IdealGas::gibbs_mole(), PDSS_IonsFromNeutral::gibbs_mole(), IdealSolidSolnPhase::gibbs_mole(), PDSS_SSVol::gibbs_mole(), PDSS::gibbs_RT(), PDSS_Water::gibbs_RT_ref(), PDSS::gibbsDelp_mole(), RedlichKwongMFTP::hresid(), LiquidTranInteraction::init(), GasKinetics::init(), PureFluidPhase::initThermo(), WaterSSTP::initThermoXML(), SimpleThermo::install(), ConstDensityThermo::intEnergy_mole(), StoichSubstance::intEnergy_mole(), PDSS_ConstVol::intEnergy_mole(), PDSS_IdealGas::intEnergy_mole(), PDSS_IonsFromNeutral::intEnergy_mole(), IdealSolidSolnPhase::intEnergy_mole(), PDSS_SSVol::intEnergy_mole(), LatticePhase::intEnergy_mole(), IdealGasPhase::intEnergy_mole(), IdealGasPhase::logStandardConc(), ConstCpPoly::modifyParameters(), SimpleThermo::modifyParams(), PDSS_IdealGas::molarVolume(), PDSS_IdealGas::molarVolume_ref(), MixtureFugacityTP::phaseState(), RedlichKwongMFTP::pressure(), IdealGasPhase::pressure(), MixTransport::pressure_ig(), RedlichKwongMFTP::pressureCalc(), RedlichKwongMFTP::pressureDerivatives(), Mu0Poly::processCoeffs(), HMWSoln::relative_enthalpy(), PureFluidPhase::report(), ThermoPhase::report(), ConstCpPoly::reportParameters(), Mu0Poly::reportParameters(), SimpleThermo::reportParams(), PhaseCombo_Interaction::s_update_dlnActCoeff_dlnN(), MargulesVPSSTP::s_update_dlnActCoeff_dlnN(), MixedSolventElectrolyte::s_update_dlnActCoeff_dlnN(), PhaseCombo_Interaction::s_update_dlnActCoeff_dlnN_diag(), MargulesVPSSTP::s_update_dlnActCoeff_dlnN_diag(), MixedSolventElectrolyte::s_update_dlnActCoeff_dlnN_diag(), PhaseCombo_Interaction::s_update_dlnActCoeff_dlnX_diag(), MargulesVPSSTP::s_update_dlnActCoeff_dlnX_diag(), MixedSolventElectrolyte::s_update_dlnActCoeff_dlnX_diag(), PhaseCombo_Interaction::s_update_dlnActCoeff_dT(), MargulesVPSSTP::s_update_dlnActCoeff_dT(), MixedSolventElectrolyte::s_update_dlnActCoeff_dT(), PhaseCombo_Interaction::s_update_lnActCoeff(), RedlichKisterVPSSTP::s_update_lnActCoeff(), MargulesVPSSTP::s_update_lnActCoeff(), MixedSolventElectrolyte::s_update_lnActCoeff(), ThermoPhase::setElementPotentials(), PDSS_ConstVol::setPressure(), PDSS_IdealGas::setPressure(), PDSS_SSVol::setPressure(), IdealGasPhase::setPressure(), PDSS_IdealGas::setState_TR(), PDSS_ConstVol::setTemperature(), PDSS_IdealGas::setTemperature(), PDSS_SSVol::setTemperature(), RedlichKwongMFTP::sresid(), IdealSolnGasVPSS::standardConcentration(), IdealGasPhase::standardConcentration(), AqueousTransport::stefan_maxwell_solve(), LiquidTransport::stefan_maxwell_solve(), WaterProps::thermalConductivityWater(), Unit::Unit(), ShomateThermo::update(), ShomateThermo::update_one(), SimpleTransport::updateDiff_T(), AqueousKinetics::updateKc(), GasKinetics::updateKc(), InterfaceKinetics::updateKc(), DustyGasTransport::updateKnudsenDiffCoeffs(), ShomatePoly::updatePropertiesTemp(), MultiTransport::updateThermal_T(), VCS_SOLVE::vcs_nondim_Farad(), VCS_SOLVE::vcs_nondimMult_TP(), and VCS_SOLVE::vcs_printSpeciesChemPot().

const doublereal OneAtm = 1.01325e5

One atmosphere [Pa].

Definition at line 82 of file ct_defs.h.

Referenced by VPSSMgr_Water_ConstVol::_updateStandardStateThermo(), PDSS_HKFT::constructPDSSXML(), PDSS_Water::constructSet(), FixedChemPotSSTP::FixedChemPotSSTP(), WaterSSTP::getCp_R_ref(), WaterSSTP::getEnthalpy_RT_ref(), WaterSSTP::getEntropy_R_ref(), WaterSSTP::getGibbs_RT_ref(), WaterSSTP::getStandardVolumes_ref(), PDSS_HKFT::initThermo(), VPSSMgr_Water_ConstVol::initThermoXML(), VPSSMgr_Water_HKFT::initThermoXML(), WaterSSTP::initThermoXML(), DebyeHuckel::initThermoXML(), HMWSoln::initThermoXML(), Cantera::installAdsorbateThermoFromXML(), Cantera::installNasa9ThermoFromXML(), Cantera::installNasaThermoFromXML(), Cantera::installShomateThermoFromXML(), Cantera::installSimpleThermoFromXML(), PDSS_HKFT::PDSS_HKFT(), WaterPropsIAPWS::phaseState(), PDSS_Water::pref_safe(), Adsorbate::refPressure(), and VCS_SOLVE::vcs_prob_specifyFully().

const doublereal GasConst_cal_mol_K = GasConstant / 4184.0

Universal gas constant in cal/mol/K.

Definition at line 85 of file ct_defs.h.

Referenced by VCS_SOLVE::vcs_nondimMult_TP().

const doublereal Boltzmann = GasConstant / Avogadro

Boltzmann's constant [J/K].

Definition at line 88 of file ct_defs.h.

Referenced by TransportFactory::fitProperties(), TransportFactory::getBinDiffCorrection(), MultiTransport::getGasTransportData(), MixTransport::getGasTransportData(), SolidTransport::getMobilities(), MixTransport::getMobilities(), AqueousTransport::getMobilities(), SimpleTransport::getMobilities(), LiquidTransport::getMobilities(), SimpleTransport::getSpeciesFluxesExt(), TransportFactory::getTransportData(), MultiTransport::initGas(), Rotor::partitionFunction(), Rotor::relPopulation(), TransportFactory::setupMM(), and AqueousTransport::update_T().

const doublereal Planck = 6.62607009e-34

Planck's constant. [J-s].

Definition at line 91 of file ct_defs.h.

Referenced by Cantera::wnum_to_J().

const doublereal logBoltz_Planck = std::log(Boltzmann / Planck)

log(k/h)

Definition at line 95 of file ct_defs.h.

const doublereal StefanBoltz = 5.670373e-8

Stefan-Boltzmann constant.

Definition at line 97 of file ct_defs.h.

const doublereal lightSpeed = 299792458.0

Speed of Light (m/s).

Definition at line 112 of file ct_defs.h.

Referenced by Cantera::hz_to_wnum(), and Cantera::wnum_to_J().

const doublereal permeability_0 = 4.0e-7*Pi

Permeability of free space \( \mu_0 \) in N/A^2.

Definition at line 115 of file ct_defs.h.

const doublereal epsilon_0 = 1.0 / (lightSpeed*lightSpeed*permeability_0)

Permittivity of free space \( \epsilon_0 \) in F/m.

Definition at line 118 of file ct_defs.h.

Referenced by WaterProps::ADebye().