HMWSoln Class Reference

Class HMWSoln represents a dilute or concentrated liquid electrolyte phase which obeys the Pitzer formulation for nonideality. More...

#include <HMWSoln.h>

Inheritance diagram for HMWSoln:

Collaboration diagram for HMWSoln:

Public Member Functions
	HMWSoln (const std::string &inputFile="", const std::string &id="")
	Construct and initialize an HMWSoln ThermoPhase object directly from an ASCII input file. More...
	HMWSoln (XML_Node &phaseRef, const std::string &id="")
	Construct and initialize an HMWSoln ThermoPhase object directly from an XML database. More...
virtual doublereal	satPressure (doublereal T)
	Get the saturation pressure for a given temperature. More...
void	setBinarySalt (const std::string &sp1, const std::string &sp2, size_t nParams, double *beta0, double *beta1, double *beta2, double *Cphi, double alpha1, double alpha2)
void	setTheta (const std::string &sp1, const std::string &sp2, size_t nParams, double *theta)
void	setPsi (const std::string &sp1, const std::string &sp2, const std::string &sp3, size_t nParams, double *psi)
void	setLambda (const std::string &sp1, const std::string &sp2, size_t nParams, double *lambda)
void	setMunnn (const std::string &sp, size_t nParams, double *munnn)
void	setZeta (const std::string &sp1, const std::string &sp2, const std::string &sp3, size_t nParams, double *psi)
void	setPitzerTempModel (const std::string &model)
void	setPitzerRefTemperature (double Tref)
void	setA_Debye (double A)
	Set the A_Debye parameter. More...
void	setMaxIonicStrength (double Imax)
void	setCroppingCoefficients (double ln_gamma_k_min, double ln_gamma_k_max, double ln_gamma_o_min, double ln_gamma_o_max)
virtual void	initThermo ()
virtual void	getParameters (AnyMap &phaseNode) const
	Store the parameters of a ThermoPhase object such that an identical one could be reconstructed using the newPhase(AnyMap&) function. More...
virtual void	initThermoXML (XML_Node &phaseNode, const std::string &id)
	Initialize the phase parameters from an XML file. More...
virtual double	A_Debye_TP (double temperature=-1.0, double pressure=-1.0) const
	Value of the Debye Huckel constant as a function of temperature and pressure. More...
virtual double	dA_DebyedT_TP (double temperature=-1.0, double pressure=-1.0) const
	Value of the derivative of the Debye Huckel constant with respect to temperature as a function of temperature and pressure. More...
virtual double	dA_DebyedP_TP (double temperature=-1.0, double pressure=-1.0) const
	Value of the derivative of the Debye Huckel constant with respect to pressure, as a function of temperature and pressure. More...
double	ADebye_L (double temperature=-1.0, double pressure=-1.0) const
	Return Pitzer's definition of A_L. More...
double	ADebye_J (double temperature=-1.0, double pressure=-1.0) const
	Return Pitzer's definition of A_J. More...
double	ADebye_V (double temperature=-1.0, double pressure=-1.0) const
	Return Pitzer's definition of A_V. More...
virtual double	d2A_DebyedT2_TP (double temperature=-1.0, double pressure=-1.0) const
	Value of the 2nd derivative of the Debye Huckel constant with respect to temperature as a function of temperature and pressure. More...
void	printCoeffs () const
	Print out all of the input Pitzer coefficients. More...
void	getUnscaledMolalityActivityCoefficients (doublereal *acMolality) const
	Get the array of unscaled non-dimensional molality based activity coefficients at the current solution temperature, pressure, and solution concentration. More...
Utilities
virtual std::string	type () const
	String indicating the thermodynamic model implemented. More...
Molar Thermodynamic Properties of the Solution
virtual doublereal	enthalpy_mole () const
	Molar enthalpy. Units: J/kmol. More...
virtual doublereal	relative_enthalpy () const
	Excess molar enthalpy of the solution from the mixing process. More...
virtual doublereal	relative_molal_enthalpy () const
	Excess molar enthalpy of the solution from the mixing process on a molality basis. More...
virtual doublereal	entropy_mole () const
	Molar entropy. Units: J/kmol/K. More...
virtual doublereal	gibbs_mole () const
	Molar Gibbs function. Units: J/kmol. More...
virtual doublereal	cp_mole () const
	Molar heat capacity at constant pressure. Units: J/kmol/K. More...
virtual doublereal	cv_mole () const
	Molar heat capacity at constant volume. Units: J/kmol/K. More...
Activities, Standard States, and Activity Concentrations
The activity \(a_k\) of a species in solution is related to the chemical potential by \[ \mu_k = \mu_k^0(T) + \hat R T \log a_k. \] The quantity \(\mu_k^0(T,P)\) is the chemical potential at unit activity, which depends only on temperature and the pressure. Activity is assumed to be molality-based here.
virtual void	getActivityConcentrations (doublereal *c) const
	This method returns an array of generalized activity concentrations. More...
virtual doublereal	standardConcentration (size_t k=0) const
	Return the standard concentration for the kth species. More...
virtual void	getActivities (doublereal *ac) const
	Get the array of non-dimensional activities at the current solution temperature, pressure, and solution concentration. More...
Partial Molar Properties of the Solution
virtual void	getChemPotentials (doublereal *mu) const
	Get the species chemical potentials. Units: J/kmol. More...
virtual void	getPartialMolarEnthalpies (doublereal *hbar) const
	Returns an array of partial molar enthalpies for the species in the mixture. More...
virtual void	getPartialMolarEntropies (doublereal *sbar) const
	Returns an array of partial molar entropies of the species in the solution. More...
virtual void	getPartialMolarVolumes (doublereal *vbar) const
	Return an array of partial molar volumes for the species in the mixture. More...
virtual void	getPartialMolarCp (doublereal *cpbar) const
	Return an array of partial molar heat capacities for the species in the mixture. More...
Public Member Functions inherited from MolalityVPSSTP
	MolalityVPSSTP ()
	Default Constructor. More...
virtual void	setStateFromXML (const XML_Node &state)
	Set equation of state parameter values from XML entries. More...
void	setState_TPM (doublereal t, doublereal p, const doublereal *const molalities)
	Set the temperature (K), pressure (Pa), and molalities (gmol kg-1) of the solutes. More...
void	setState_TPM (doublereal t, doublereal p, const compositionMap &m)
	Set the temperature (K), pressure (Pa), and molalities. More...
void	setState_TPM (doublereal t, doublereal p, const std::string &m)
	Set the temperature (K), pressure (Pa), and molalities. More...
virtual void	setState (const AnyMap &state)
	Set the state using an AnyMap containing any combination of properties supported by the thermodynamic model. More...
virtual void	getdlnActCoeffdlnN (const size_t ld, doublereal *const dlnActCoeffdlnN)
	Get the array of derivatives of the log activity coefficients with respect to the log of the species mole numbers. More...
virtual std::string	report (bool show_thermo=true, doublereal threshold=1e-14) const
	returns a summary of the state of the phase as a string More...
virtual std::string	phaseOfMatter () const
	String indicating the mechanical phase of the matter in this Phase. More...
void	setpHScale (const int pHscaleType)
	Set the pH scale, which determines the scale for single-ion activity coefficients. More...
int	pHScale () const
	Reports the pH scale, which determines the scale for single-ion activity coefficients. More...
void	setMoleFSolventMin (doublereal xmolSolventMIN)
	Sets the minimum mole fraction in the molality formulation. More...
doublereal	moleFSolventMin () const
	Returns the minimum mole fraction in the molality formulation. More...
void	calcMolalities () const
	Calculates the molality of all species and stores the result internally. More...
void	getMolalities (doublereal *const molal) const
	This function will return the molalities of the species. More...
void	setMolalities (const doublereal *const molal)
	Set the molalities of the solutes in a phase. More...
void	setMolalitiesByName (const compositionMap &xMap)
	Set the molalities of a phase. More...
void	setMolalitiesByName (const std::string &name)
	Set the molalities of a phase. More...
int	activityConvention () const
	We set the convention to molality here. More...
virtual void	getActivityCoefficients (doublereal *ac) const
	Get the array of non-dimensional activity coefficients at the current solution temperature, pressure, and solution concentration. More...
virtual void	getMolalityActivityCoefficients (doublereal *acMolality) const
	Get the array of non-dimensional molality based activity coefficients at the current solution temperature, pressure, and solution concentration. More...
virtual double	osmoticCoefficient () const
	Calculate the osmotic coefficient. More...
virtual bool	addSpecies (shared_ptr< Species > spec)
Public Member Functions inherited from VPStandardStateTP
virtual void	setTemperature (const doublereal temp)
	Set the temperature of the phase. More...
virtual void	setPressure (doublereal p)
	Set the internally stored pressure (Pa) at constant temperature and composition. More...
virtual void	setState_TP (doublereal T, doublereal pres)
	Set the temperature and pressure at the same time. More...
virtual doublereal	pressure () const
	Returns the current pressure of the phase. More...
virtual void	updateStandardStateThermo () const
	Updates the standard state thermodynamic functions at the current T and P of the solution. More...
virtual double	minTemp (size_t k=npos) const
	Minimum temperature for which the thermodynamic data for the species or phase are valid. More...
virtual double	maxTemp (size_t k=npos) const
	Maximum temperature for which the thermodynamic data for the species are valid. More...
PDSS *	providePDSS (size_t k)
const PDSS *	providePDSS (size_t k) const
	VPStandardStateTP ()
	Constructor. More...
virtual	~VPStandardStateTP ()
virtual bool	isCompressible () const
	Return whether phase represents a compressible substance. More...
virtual int	standardStateConvention () const
	This method returns the convention used in specification of the standard state, of which there are currently two, temperature based, and variable pressure based. More...
virtual void	getdlnActCoeffdlnN_diag (doublereal *dlnActCoeffdlnN_diag) const
	Get the array of log species mole number derivatives of the log activity coefficients. More...
virtual void	getChemPotentials_RT (doublereal *mu) const
	Get the array of non-dimensional species chemical potentials. More...
virtual void	getStandardChemPotentials (doublereal *mu) const
	Get the array of chemical potentials at unit activity for the species at their standard states at the current T and P of the solution. More...
virtual void	getEnthalpy_RT (doublereal *hrt) const
	Get the nondimensional Enthalpy functions for the species at their standard states at the current T and P of the solution. More...
virtual void	getEntropy_R (doublereal *sr) const
	Get the array of nondimensional Entropy functions for the standard state species at the current T and P of the solution. More...
virtual void	getGibbs_RT (doublereal *grt) const
	Get the nondimensional Gibbs functions for the species in their standard states at the current T and P of the solution. More...
virtual void	getPureGibbs (doublereal *gpure) const
	Get the Gibbs functions for the standard state of the species at the current T and P of the solution. More...
virtual void	getIntEnergy_RT (doublereal *urt) const
	Returns the vector of nondimensional Internal Energies of the standard state species at the current T and P of the solution. More...
virtual void	getCp_R (doublereal *cpr) const
	Get the nondimensional Heat Capacities at constant pressure for the species standard states at the current T and P of the solution. More...
virtual void	getStandardVolumes (doublereal *vol) const
	Get the molar volumes of the species standard states at the current T and P of the solution. More...
virtual const vector_fp &	getStandardVolumes () const
virtual void	getSpeciesParameters (const std::string &name, AnyMap &speciesNode) const
	Get phase-specific parameters of a Species object such that an identical one could be reconstructed and added to this phase. More...
void	installPDSS (size_t k, std::unique_ptr< PDSS > &&pdss)
	Install a PDSS object for species k More...
virtual bool	addSpecies (shared_ptr< Species > spec)
	Add a Species to this Phase. More...
virtual void	getEnthalpy_RT_ref (doublereal *hrt) const
virtual void	getGibbs_RT_ref (doublereal *grt) const
	Returns the vector of nondimensional Gibbs Free Energies of the reference state at the current temperature of the solution and the reference pressure for the species. More...
virtual void	getGibbs_ref (doublereal *g) const
	Returns the vector of the Gibbs function of the reference state at the current temperature of the solution and the reference pressure for the species. More...
virtual void	getEntropy_R_ref (doublereal *er) const
	Returns the vector of nondimensional entropies of the reference state at the current temperature of the solution and the reference pressure for each species. More...
virtual void	getCp_R_ref (doublereal *cprt) const
	Returns the vector of nondimensional constant pressure heat capacities of the reference state at the current temperature of the solution and reference pressure for each species. More...
virtual void	getStandardVolumes_ref (doublereal *vol) const
	Get the molar volumes of the species reference states at the current T and P_ref of the solution. More...
Public Member Functions inherited from ThermoPhase
	ThermoPhase ()
	Constructor. More...
doublereal	RT () const
	Return the Gas Constant multiplied by the current temperature. More...
double	equivalenceRatio () const
	Compute the equivalence ratio for the current mixture from available oxygen and required oxygen. More...
virtual bool	isIdeal () const
	Boolean indicating whether phase is ideal. More...
virtual doublereal	refPressure () const
	Returns the reference pressure in Pa. More...
doublereal	Hf298SS (const size_t k) const
	Report the 298 K Heat of Formation of the standard state of one species (J kmol-1) More...
virtual void	modifyOneHf298SS (const size_t k, const doublereal Hf298New)
	Modify the value of the 298 K Heat of Formation of one species in the phase (J kmol-1) More...
virtual void	resetHf298 (const size_t k=npos)
	Restore the original heat of formation of one or more species. More...
bool	chargeNeutralityNecessary () const
	Returns the chargeNeutralityNecessity boolean. More...
virtual doublereal	intEnergy_mole () const
	Molar internal energy. Units: J/kmol. More...
virtual doublereal	isothermalCompressibility () const
	Returns the isothermal compressibility. Units: 1/Pa. More...
virtual doublereal	thermalExpansionCoeff () const
	Return the volumetric thermal expansion coefficient. Units: 1/K. More...
void	setElectricPotential (doublereal v)
	Set the electric potential of this phase (V). More...
doublereal	electricPotential () const
	Returns the electric potential of this phase (V). More...
virtual Units	standardConcentrationUnits () const
	Returns the units of the "standard concentration" for this phase. More...
virtual doublereal	logStandardConc (size_t k=0) const
	Natural logarithm of the standard concentration of the kth species. More...
virtual void	getLnActivityCoefficients (doublereal *lnac) const
	Get the array of non-dimensional molar-based ln activity coefficients at the current solution temperature, pressure, and solution concentration. More...
void	getElectrochemPotentials (doublereal *mu) const
	Get the species electrochemical potentials. More...
virtual void	getPartialMolarIntEnergies (doublereal *ubar) const
	Return an array of partial molar internal energies for the species in the mixture. More...
virtual void	getIntEnergy_RT_ref (doublereal *urt) const
	Returns the vector of nondimensional internal Energies of the reference state at the current temperature of the solution and the reference pressure for each species. More...
doublereal	enthalpy_mass () const
	Specific enthalpy. Units: J/kg. More...
doublereal	intEnergy_mass () const
	Specific internal energy. Units: J/kg. More...
doublereal	entropy_mass () const
	Specific entropy. Units: J/kg/K. More...
doublereal	gibbs_mass () const
	Specific Gibbs function. Units: J/kg. More...
doublereal	cp_mass () const
	Specific heat at constant pressure. Units: J/kg/K. More...
doublereal	cv_mass () const
	Specific heat at constant volume. Units: J/kg/K. More...
virtual void	setState_TPX (doublereal t, doublereal p, const doublereal *x)
	Set the temperature (K), pressure (Pa), and mole fractions. More...
virtual void	setState_TPX (doublereal t, doublereal p, const compositionMap &x)
	Set the temperature (K), pressure (Pa), and mole fractions. More...
virtual void	setState_TPX (doublereal t, doublereal p, const std::string &x)
	Set the temperature (K), pressure (Pa), and mole fractions. More...
virtual void	setState_TPY (doublereal t, doublereal p, const doublereal *y)
	Set the internally stored temperature (K), pressure (Pa), and mass fractions of the phase. More...
virtual void	setState_TPY (doublereal t, doublereal p, const compositionMap &y)
	Set the internally stored temperature (K), pressure (Pa), and mass fractions of the phase. More...
virtual void	setState_TPY (doublereal t, doublereal p, const std::string &y)
	Set the internally stored temperature (K), pressure (Pa), and mass fractions of the phase. More...
virtual void	setState_PX (doublereal p, doublereal *x)
	Set the pressure (Pa) and mole fractions. More...
virtual void	setState_PY (doublereal p, doublereal *y)
	Set the internally stored pressure (Pa) and mass fractions. More...
virtual void	setState_HP (double h, double p, double tol=1e-9)
	Set the internally stored specific enthalpy (J/kg) and pressure (Pa) of the phase. More...
virtual void	setState_UV (double u, double v, double tol=1e-9)
	Set the specific internal energy (J/kg) and specific volume (m^3/kg). More...
virtual void	setState_SP (double s, double p, double tol=1e-9)
	Set the specific entropy (J/kg/K) and pressure (Pa). More...
virtual void	setState_SV (double s, double v, double tol=1e-9)
	Set the specific entropy (J/kg/K) and specific volume (m^3/kg). More...
virtual void	setState_ST (double s, double t, double tol=1e-9)
	Set the specific entropy (J/kg/K) and temperature (K). More...
virtual void	setState_TV (double t, double v, double tol=1e-9)
	Set the temperature (K) and specific volume (m^3/kg). More...
virtual void	setState_PV (double p, double v, double tol=1e-9)
	Set the pressure (Pa) and specific volume (m^3/kg). More...
virtual void	setState_UP (double u, double p, double tol=1e-9)
	Set the specific internal energy (J/kg) and pressure (Pa). More...
virtual void	setState_VH (double v, double h, double tol=1e-9)
	Set the specific volume (m^3/kg) and the specific enthalpy (J/kg) More...
virtual void	setState_TH (double t, double h, double tol=1e-9)
	Set the temperature (K) and the specific enthalpy (J/kg) More...
virtual void	setState_SH (double s, double h, double tol=1e-9)
	Set the specific entropy (J/kg/K) and the specific enthalpy (J/kg) More...
virtual void	setState_RP (doublereal rho, doublereal p)
	Set the density (kg/m**3) and pressure (Pa) at constant composition. More...
virtual void	setState_RPX (doublereal rho, doublereal p, const doublereal *x)
	Set the density (kg/m**3), pressure (Pa) and mole fractions. More...
virtual void	setState_RPX (doublereal rho, doublereal p, const compositionMap &x)
	Set the density (kg/m**3), pressure (Pa) and mole fractions. More...
virtual void	setState_RPX (doublereal rho, doublereal p, const std::string &x)
	Set the density (kg/m**3), pressure (Pa) and mole fractions. More...
virtual void	setState_RPY (doublereal rho, doublereal p, const doublereal *y)
	Set the density (kg/m**3), pressure (Pa) and mass fractions. More...
virtual void	setState_RPY (doublereal rho, doublereal p, const compositionMap &y)
	Set the density (kg/m**3), pressure (Pa) and mass fractions. More...
virtual void	setState_RPY (doublereal rho, doublereal p, const std::string &y)
	Set the density (kg/m**3), pressure (Pa) and mass fractions. More...
void	setMixtureFraction (double mixFrac, const double *fuelComp, const double *oxComp, ThermoBasis basis=ThermoBasis::molar)
	Set the mixture composition according to the mixture fraction = kg fuel / (kg oxidizer + kg fuel) More...
void	setMixtureFraction (double mixFrac, const std::string &fuelComp, const std::string &oxComp, ThermoBasis basis=ThermoBasis::molar)
	Set the mixture composition according to the mixture fraction = kg fuel / (kg oxidizer + kg fuel) More...
void	setMixtureFraction (double mixFrac, const compositionMap &fuelComp, const compositionMap &oxComp, ThermoBasis basis=ThermoBasis::molar)
	Set the mixture composition according to the mixture fraction = kg fuel / (kg oxidizer + kg fuel) More...
double	mixtureFraction (const double *fuelComp, const double *oxComp, ThermoBasis basis=ThermoBasis::molar, const std::string &element="Bilger") const
	Compute the mixture fraction = kg fuel / (kg oxidizer + kg fuel) for the current mixture given fuel and oxidizer compositions. More...
double	mixtureFraction (const std::string &fuelComp, const std::string &oxComp, ThermoBasis basis=ThermoBasis::molar, const std::string &element="Bilger") const
	Compute the mixture fraction = kg fuel / (kg oxidizer + kg fuel) for the current mixture given fuel and oxidizer compositions. More...
double	mixtureFraction (const compositionMap &fuelComp, const compositionMap &oxComp, ThermoBasis basis=ThermoBasis::molar, const std::string &element="Bilger") const
	Compute the mixture fraction = kg fuel / (kg oxidizer + kg fuel) for the current mixture given fuel and oxidizer compositions. More...
void	setEquivalenceRatio (double phi, const double *fuelComp, const double *oxComp, ThermoBasis basis=ThermoBasis::molar)
	Set the mixture composition according to the equivalence ratio. More...
void	setEquivalenceRatio (double phi, const std::string &fuelComp, const std::string &oxComp, ThermoBasis basis=ThermoBasis::molar)
	Set the mixture composition according to the equivalence ratio. More...
void	setEquivalenceRatio (double phi, const compositionMap &fuelComp, const compositionMap &oxComp, ThermoBasis basis=ThermoBasis::molar)
	Set the mixture composition according to the equivalence ratio. More...
double	equivalenceRatio (const double *fuelComp, const double *oxComp, ThermoBasis basis=ThermoBasis::molar) const
	Compute the equivalence ratio for the current mixture given the compositions of fuel and oxidizer. More...
double	equivalenceRatio (const std::string &fuelComp, const std::string &oxComp, ThermoBasis basis=ThermoBasis::molar) const
	Compute the equivalence ratio for the current mixture given the compositions of fuel and oxidizer. More...
double	equivalenceRatio (const compositionMap &fuelComp, const compositionMap &oxComp, ThermoBasis basis=ThermoBasis::molar) const
	Compute the equivalence ratio for the current mixture given the compositions of fuel and oxidizer. More...
double	stoichAirFuelRatio (const double *fuelComp, const double *oxComp, ThermoBasis basis=ThermoBasis::molar) const
	Compute the stoichiometric air to fuel ratio (kg oxidizer / kg fuel) given fuel and oxidizer compositions. More...
double	stoichAirFuelRatio (const std::string &fuelComp, const std::string &oxComp, ThermoBasis basis=ThermoBasis::molar) const
	Compute the stoichiometric air to fuel ratio (kg oxidizer / kg fuel) given fuel and oxidizer compositions. More...
double	stoichAirFuelRatio (const compositionMap &fuelComp, const compositionMap &oxComp, ThermoBasis basis=ThermoBasis::molar) const
	Compute the stoichiometric air to fuel ratio (kg oxidizer / kg fuel) given fuel and oxidizer compositions. More...
void	equilibrate (const std::string &XY, const std::string &solver="auto", double rtol=1e-9, int max_steps=50000, int max_iter=100, int estimate_equil=0, int log_level=0)
	Equilibrate a ThermoPhase object. More...
virtual void	setToEquilState (const doublereal *mu_RT)
	This method is used by the ChemEquil equilibrium solver. More...
virtual bool	compatibleWithMultiPhase () const
	Indicates whether this phase type can be used with class MultiPhase for equilibrium calculations. More...
virtual doublereal	critTemperature () const
	Critical temperature (K). More...
virtual doublereal	critPressure () const
	Critical pressure (Pa). More...
virtual doublereal	critVolume () const
	Critical volume (m3/kmol). More...
virtual doublereal	critCompressibility () const
	Critical compressibility (unitless). More...
virtual doublereal	critDensity () const
	Critical density (kg/m3). More...
virtual doublereal	satTemperature (doublereal p) const
	Return the saturation temperature given the pressure. More...
virtual doublereal	vaporFraction () const
	Return the fraction of vapor at the current conditions. More...
virtual void	setState_Tsat (doublereal t, doublereal x)
	Set the state to a saturated system at a particular temperature. More...
virtual void	setState_Psat (doublereal p, doublereal x)
	Set the state to a saturated system at a particular pressure. More...
void	setState_TPQ (double T, double P, double Q)
	Set the temperature, pressure, and vapor fraction (quality). More...
virtual void	modifySpecies (size_t k, shared_ptr< Species > spec)
	Modify the thermodynamic data associated with a species. More...
void	saveSpeciesData (const size_t k, const XML_Node *const data)
	Store a reference pointer to the XML tree containing the species data for this phase. More...
const std::vector< const XML_Node * > &	speciesData () const
	Return a pointer to the vector of XML nodes containing the species data for this phase. More...
virtual MultiSpeciesThermo &	speciesThermo (int k=-1)
	Return a changeable reference to the calculation manager for species reference-state thermodynamic properties. More...
virtual const MultiSpeciesThermo &	speciesThermo (int k=-1) const
void	initThermoFile (const std::string &inputFile, const std::string &id)
virtual void	setParameters (int n, doublereal *const c)
	Set the equation of state parameters. More...
virtual void	getParameters (int &n, doublereal *const c) const
	Get the equation of state parameters in a vector. More...
virtual void	setParameters (const AnyMap &phaseNode, const AnyMap &rootNode=AnyMap())
	Set equation of state parameters from an AnyMap phase description. More...
AnyMap	parameters (bool withInput=true) const
	Returns the parameters of a ThermoPhase object such that an identical one could be reconstructed using the newPhase(AnyMap&) function. More...
const AnyMap &	input () const
	Access input data associated with the phase description. More...
AnyMap &	input ()
virtual void	setParametersFromXML (const XML_Node &eosdata)
	Set equation of state parameter values from XML entries. More...
virtual void	getdlnActCoeffds (const doublereal dTds, const doublereal *const dXds, doublereal *dlnActCoeffds) const
	Get the change in activity coefficients wrt changes in state (temp, mole fraction, etc) along a line in parameter space or along a line in physical space. More...
virtual void	getdlnActCoeffdlnX_diag (doublereal *dlnActCoeffdlnX_diag) const
	Get the array of ln mole fraction derivatives of the log activity coefficients - diagonal component only. More...
virtual void	getdlnActCoeffdlnN_numderiv (const size_t ld, doublereal *const dlnActCoeffdlnN)
virtual void	reportCSV (std::ofstream &csvFile) const
	returns a summary of the state of the phase to a comma separated file. More...
Public Member Functions inherited from Phase
	Phase ()
	Default constructor. More...
	Phase (const Phase &)=delete
Phase &	operator= (const Phase &)=delete
XML_Node &	xml () const
	Returns a const reference to the XML_Node that describes the phase. More...
void	setXMLdata (XML_Node &xmlPhase)
	Stores the XML tree information for the current phase. More...
virtual bool	isPure () const
	Return whether phase represents a pure (single species) substance. More...
virtual bool	hasPhaseTransition () const
	Return whether phase represents a substance with phase transitions. More...
virtual std::map< std::string, size_t >	nativeState () const
	Return a map of properties defining the native state of a substance. More...
virtual std::vector< std::string >	fullStates () const
	Return a vector containing full states defining a phase. More...
virtual std::vector< std::string >	partialStates () const
	Return a vector of settable partial property sets within a phase. More...
virtual size_t	stateSize () const
	Return size of vector defining internal state of the phase. More...
void	saveState (vector_fp &state) const
	Save the current internal state of the phase. More...
virtual void	saveState (size_t lenstate, doublereal *state) const
	Write to array 'state' the current internal state. More...
void	restoreState (const vector_fp &state)
	Restore a state saved on a previous call to saveState. More...
virtual void	restoreState (size_t lenstate, const doublereal *state)
	Restore the state of the phase from a previously saved state vector. More...
doublereal	molecularWeight (size_t k) const
	Molecular weight of species k. More...
void	getMolecularWeights (vector_fp &weights) const
	Copy the vector of molecular weights into vector weights. More...
void	getMolecularWeights (doublereal *weights) const
	Copy the vector of molecular weights into array weights. More...
const vector_fp &	molecularWeights () const
	Return a const reference to the internal vector of molecular weights. More...
void	getCharges (double *charges) const
	Copy the vector of species charges into array charges. More...
doublereal	elementalMassFraction (const size_t m) const
	Elemental mass fraction of element m. More...
doublereal	elementalMoleFraction (const size_t m) const
	Elemental mole fraction of element m. More...
const double *	moleFractdivMMW () const
	Returns a const pointer to the start of the moleFraction/MW array. More...
doublereal	charge (size_t k) const
	Dimensionless electrical charge of a single molecule of species k The charge is normalized by the the magnitude of the electron charge. More...
doublereal	chargeDensity () const
	Charge density [C/m^3]. More...
size_t	nDim () const
	Returns the number of spatial dimensions (1, 2, or 3) More...
void	setNDim (size_t ndim)
	Set the number of spatial dimensions (1, 2, or 3). More...
virtual bool	ready () const
	Returns a bool indicating whether the object is ready for use. More...
int	stateMFNumber () const
	Return the State Mole Fraction Number. More...
bool	caseSensitiveSpecies () const
	Returns true if case sensitive species names are enforced. More...
void	setCaseSensitiveSpecies (bool cflag=true)
	Set flag that determines whether case sensitive species are enforced in look-up operations, for example speciesIndex. More...
virtual void	setRoot (std::shared_ptr< Solution > root)
	Set root Solution holding all phase information. More...
vector_fp	getCompositionFromMap (const compositionMap &comp) const
	Converts a compositionMap to a vector with entries for each species Species that are not specified are set to zero in the vector. More...
void	massFractionsToMoleFractions (const double *Y, double *X) const
	Converts a mixture composition from mole fractions to mass fractions. More...
void	moleFractionsToMassFractions (const double *X, double *Y) const
	Converts a mixture composition from mass fractions to mole fractions. More...
std::string	name () const
	Return the name of the phase. More...
void	setName (const std::string &nm)
	Sets the string name for the phase. More...
std::string	elementName (size_t m) const
	Name of the element with index m. More...
size_t	elementIndex (const std::string &name) const
	Return the index of element named 'name'. More...
const std::vector< std::string > &	elementNames () const
	Return a read-only reference to the vector of element names. More...
doublereal	atomicWeight (size_t m) const
	Atomic weight of element m. More...
doublereal	entropyElement298 (size_t m) const
	Entropy of the element in its standard state at 298 K and 1 bar. More...
int	atomicNumber (size_t m) const
	Atomic number of element m. More...
int	elementType (size_t m) const
	Return the element constraint type Possible types include: More...
int	changeElementType (int m, int elem_type)
	Change the element type of the mth constraint Reassigns an element type. More...
const vector_fp &	atomicWeights () const
	Return a read-only reference to the vector of atomic weights. More...
size_t	nElements () const
	Number of elements. More...
void	checkElementIndex (size_t m) const
	Check that the specified element index is in range. More...
void	checkElementArraySize (size_t mm) const
	Check that an array size is at least nElements(). More...
doublereal	nAtoms (size_t k, size_t m) const
	Number of atoms of element m in species k. More...
void	getAtoms (size_t k, double *atomArray) const
	Get a vector containing the atomic composition of species k. More...
size_t	speciesIndex (const std::string &name) const
	Returns the index of a species named 'name' within the Phase object. More...
std::string	speciesName (size_t k) const
	Name of the species with index k. More...
std::string	speciesSPName (int k) const
	Returns the expanded species name of a species, including the phase name This is guaranteed to be unique within a Cantera problem. More...
const std::vector< std::string > &	speciesNames () const
	Return a const reference to the vector of species names. More...
size_t	nSpecies () const
	Returns the number of species in the phase. More...
void	checkSpeciesIndex (size_t k) const
	Check that the specified species index is in range. More...
void	checkSpeciesArraySize (size_t kk) const
	Check that an array size is at least nSpecies(). More...
void	setMoleFractionsByName (const compositionMap &xMap)
	Set the species mole fractions by name. More...
void	setMoleFractionsByName (const std::string &x)
	Set the mole fractions of a group of species by name. More...
void	setMassFractionsByName (const compositionMap &yMap)
	Set the species mass fractions by name. More...
void	setMassFractionsByName (const std::string &x)
	Set the species mass fractions by name. More...
void	setState_TRX (doublereal t, doublereal dens, const doublereal *x)
	Set the internally stored temperature (K), density, and mole fractions. More...
void	setState_TRX (doublereal t, doublereal dens, const compositionMap &x)
	Set the internally stored temperature (K), density, and mole fractions. More...
void	setState_TRY (doublereal t, doublereal dens, const doublereal *y)
	Set the internally stored temperature (K), density, and mass fractions. More...
void	setState_TRY (doublereal t, doublereal dens, const compositionMap &y)
	Set the internally stored temperature (K), density, and mass fractions. More...
void	setState_TNX (doublereal t, doublereal n, const doublereal *x)
	Set the internally stored temperature (K), molar density (kmol/m^3), and mole fractions. More...
void	setState_TR (doublereal t, doublereal rho)
	Set the internally stored temperature (K) and density (kg/m^3) More...
void	setState_TX (doublereal t, doublereal *x)
	Set the internally stored temperature (K) and mole fractions. More...
void	setState_TY (doublereal t, doublereal *y)
	Set the internally stored temperature (K) and mass fractions. More...
void	setState_RX (doublereal rho, doublereal *x)
	Set the density (kg/m^3) and mole fractions. More...
void	setState_RY (doublereal rho, doublereal *y)
	Set the density (kg/m^3) and mass fractions. More...
compositionMap	getMoleFractionsByName (double threshold=0.0) const
	Get the mole fractions by name. More...
double	moleFraction (size_t k) const
	Return the mole fraction of a single species. More...
double	moleFraction (const std::string &name) const
	Return the mole fraction of a single species. More...
compositionMap	getMassFractionsByName (double threshold=0.0) const
	Get the mass fractions by name. More...
double	massFraction (size_t k) const
	Return the mass fraction of a single species. More...
double	massFraction (const std::string &name) const
	Return the mass fraction of a single species. More...
void	getMoleFractions (double *const x) const
	Get the species mole fraction vector. More...
virtual void	setMoleFractions (const double *const x)
	Set the mole fractions to the specified values. More...
virtual void	setMoleFractions_NoNorm (const double *const x)
	Set the mole fractions to the specified values without normalizing. More...
void	getMassFractions (double *const y) const
	Get the species mass fractions. More...
const double *	massFractions () const
	Return a const pointer to the mass fraction array. More...
virtual void	setMassFractions (const double *const y)
	Set the mass fractions to the specified values and normalize them. More...
virtual void	setMassFractions_NoNorm (const double *const y)
	Set the mass fractions to the specified values without normalizing. More...
void	getConcentrations (double *const c) const
	Get the species concentrations (kmol/m^3). More...
double	concentration (const size_t k) const
	Concentration of species k. More...
virtual void	setConcentrations (const double *const conc)
	Set the concentrations to the specified values within the phase. More...
virtual void	setConcentrationsNoNorm (const double *const conc)
	Set the concentrations without ignoring negative concentrations. More...
doublereal	temperature () const
	Temperature (K). More...
virtual double	electronTemperature () const
	Electron Temperature (K) More...
virtual double	density () const
	Density (kg/m^3). More...
double	molarDensity () const
	Molar density (kmol/m^3). More...
double	molarVolume () const
	Molar volume (m^3/kmol). More...
virtual void	setDensity (const double density_)
	Set the internally stored density (kg/m^3) of the phase. More...
virtual void	setMolarDensity (const double molarDensity)
	Set the internally stored molar density (kmol/m^3) of the phase. More...
virtual void	setElectronTemperature (double etemp)
	Set the internally stored electron temperature of the phase (K). More...
doublereal	mean_X (const doublereal *const Q) const
	Evaluate the mole-fraction-weighted mean of an array Q. More...
doublereal	mean_X (const vector_fp &Q) const
	Evaluate the mole-fraction-weighted mean of an array Q. More...
doublereal	meanMolecularWeight () const
	The mean molecular weight. Units: (kg/kmol) More...
doublereal	sum_xlogx () const
	Evaluate \( \sum_k X_k \log X_k \). More...
size_t	addElement (const std::string &symbol, doublereal weight=-12345.0, int atomicNumber=0, doublereal entropy298=ENTROPY298_UNKNOWN, int elem_type=CT_ELEM_TYPE_ABSPOS)
	Add an element. More...
void	addSpeciesAlias (const std::string &name, const std::string &alias)
	Add a species alias (that is, a user-defined alternative species name). More...
virtual std::vector< std::string >	findIsomers (const compositionMap &compMap) const
	Return a vector with isomers names matching a given composition map. More...
virtual std::vector< std::string >	findIsomers (const std::string &comp) const
	Return a vector with isomers names matching a given composition string. More...
shared_ptr< Species >	species (const std::string &name) const
	Return the Species object for the named species. More...
shared_ptr< Species >	species (size_t k) const
	Return the Species object for species whose index is k. More...
void	ignoreUndefinedElements ()
	Set behavior when adding a species containing undefined elements to just skip the species. More...
void	addUndefinedElements ()
	Set behavior when adding a species containing undefined elements to add those elements to the phase. More...
void	throwUndefinedElements ()
	Set the behavior when adding a species containing undefined elements to throw an exception. More...

Public Attributes
int	m_form_A_Debye
	Form of the constant outside the Debye-Huckel term called A. More...

Protected Member Functions
Mechanical Equation of State Properties
void	calcDensity ()
	Calculate the density of the mixture using the partial molar volumes and mole fractions as input. More...
Protected Member Functions inherited from MolalityVPSSTP
virtual void	getCsvReportData (std::vector< std::string > &names, std::vector< vector_fp > &data) const
	Fills names and data with the column names and species thermo properties to be included in the output of the reportCSV method. More...
Protected Member Functions inherited from VPStandardStateTP
virtual void	_updateStandardStateThermo () const
	Updates the standard state thermodynamic functions at the current T and P of the solution. More...
virtual void	invalidateCache ()
	Invalidate any cached values which are normally updated only when a change in state is detected. More...
const vector_fp &	Gibbs_RT_ref () const
Protected Member Functions inherited from Phase
void	assertCompressible (const std::string &setter) const
	Ensure that phase is compressible. More...
void	assignDensity (const double density_)
	Set the internally stored constant density (kg/m^3) of the phase. More...
void	setMolecularWeight (const int k, const double mw)
	Set the molecular weight of a single species to a given value. More...
virtual void	compositionChanged ()
	Apply changes to the state which are needed after the composition changes. More...

Private Member Functions
void	s_updateScaling_pHScaling () const
	Apply the current phScale to a set of activity Coefficients. More...
void	s_updateScaling_pHScaling_dT () const
	Apply the current phScale to a set of derivatives of the activity Coefficients wrt temperature. More...
void	s_updateScaling_pHScaling_dT2 () const
	Apply the current phScale to a set of 2nd derivatives of the activity Coefficients wrt temperature. More...
void	s_updateScaling_pHScaling_dP () const
	Apply the current phScale to a set of derivatives of the activity Coefficients wrt pressure. More...
doublereal	s_NBS_CLM_lnMolalityActCoeff () const
	Calculate the Chlorine activity coefficient on the NBS scale. More...
doublereal	s_NBS_CLM_dlnMolalityActCoeff_dT () const
	Calculate the temperature derivative of the Chlorine activity coefficient on the NBS scale. More...
doublereal	s_NBS_CLM_d2lnMolalityActCoeff_dT2 () const
	Calculate the second temperature derivative of the Chlorine activity coefficient on the NBS scale. More...
doublereal	s_NBS_CLM_dlnMolalityActCoeff_dP () const
	Calculate the pressure derivative of the Chlorine activity coefficient. More...
void	initLengths ()
	Initialize all of the species-dependent lengths in the object. More...
virtual void	applyphScale (doublereal *acMolality) const
	Apply the current phScale to a set of activity Coefficients or activities. More...
void	s_update_lnMolalityActCoeff () const
void	s_update_dlnMolalityActCoeff_dT () const
	This function calculates the temperature derivative of the natural logarithm of the molality activity coefficients. More...
void	s_update_d2lnMolalityActCoeff_dT2 () const
	This function calculates the temperature second derivative of the natural logarithm of the molality activity coefficients. More...
void	s_update_dlnMolalityActCoeff_dP () const
	This function calculates the pressure derivative of the natural logarithm of the molality activity coefficients. More...
void	s_updateIMS_lnMolalityActCoeff () const
	This function will be called to update the internally stored natural logarithm of the molality activity coefficients. More...
void	s_updatePitzer_lnMolalityActCoeff () const
	Calculate the Pitzer portion of the activity coefficients. More...
void	s_updatePitzer_dlnMolalityActCoeff_dT () const
	Calculates the temperature derivative of the natural logarithm of the molality activity coefficients. More...
void	s_updatePitzer_d2lnMolalityActCoeff_dT2 () const
	This function calculates the temperature second derivative of the natural logarithm of the molality activity coefficients. More...
void	s_updatePitzer_dlnMolalityActCoeff_dP () const
	Calculates the Pressure derivative of the natural logarithm of the molality activity coefficients. More...
void	s_updatePitzer_CoeffWRTemp (int doDerivs=2) const
	Calculates the Pitzer coefficients' dependence on the temperature. More...
void	calc_lambdas (double is) const
	Calculate the lambda interactions. More...
void	calc_thetas (int z1, int z2, double *etheta, double *etheta_prime) const
	Calculate etheta and etheta_prime. More...
void	counterIJ_setup () const
	Set up a counter variable for keeping track of symmetric binary interactions amongst the solute species. More...
void	calcMolalitiesCropped () const
	Calculate the cropped molalities. More...
void	readXMLBinarySalt (XML_Node &BinSalt)
	Process an XML node called "binarySaltParameters". More...
void	readXMLTheta (XML_Node &BinSalt)
	Process an XML node called "thetaAnion" or "thetaCation". More...
void	readXMLPsi (XML_Node &BinSalt)
	Process an XML node called "psiCommonAnion" or "psiCommonCation". More...
void	readXMLLambdaNeutral (XML_Node &BinSalt)
	Process an XML node called "lambdaNeutral". More...
void	readXMLMunnnNeutral (XML_Node &BinSalt)
	Process an XML node called "MunnnNeutral". More...
void	readXMLZetaCation (const XML_Node &BinSalt)
	Process an XML node called "zetaCation". More...
void	calcIMSCutoffParams_ ()
	Precalculate the IMS Cutoff parameters for typeCutoff = 2. More...
void	calcMCCutoffParams_ ()
	Calculate molality cut-off parameters. More...

Private Attributes
int	m_formPitzerTemp
	This is the form of the temperature dependence of Pitzer parameterization used in the model. More...
double	m_IionicMolality
	Current value of the ionic strength on the molality scale Associated Salts, if present in the mechanism, don't contribute to the value of the ionic strength in this version of the Ionic strength. More...
double	m_maxIionicStrength
	Maximum value of the ionic strength allowed in the calculation of the activity coefficients. More...
double	m_TempPitzerRef
	Reference Temperature for the Pitzer formulations. More...
double	m_A_Debye
	A_Debye: this expression appears on the top of the ln actCoeff term in the general Debye-Huckel expression It depends on temperature. More...
PDSS *	m_waterSS
	Water standard state calculator. More...
std::unique_ptr< WaterProps >	m_waterProps
	Pointer to the water property calculator. More...
vector_fp	m_tmpV
	vector of size m_kk, used as a temporary holding area. More...
vector_fp	m_Beta0MX_ij
	Array of 2D data used in the Pitzer/HMW formulation. More...
vector_fp	m_Beta0MX_ij_L
	Derivative of Beta0_ij[i][j] wrt T. Vector index is counterIJ. More...
vector_fp	m_Beta0MX_ij_LL
	Derivative of Beta0_ij[i][j] wrt TT. Vector index is counterIJ. More...
vector_fp	m_Beta0MX_ij_P
	Derivative of Beta0_ij[i][j] wrt P. Vector index is counterIJ. More...
Array2D	m_Beta0MX_ij_coeff
	Array of coefficients for Beta0, a variable in Pitzer's papers. More...
vector_fp	m_Beta1MX_ij
	Array of 2D data used in the Pitzer/HMW formulation. More...
vector_fp	m_Beta1MX_ij_L
	Derivative of Beta1_ij[i][j] wrt T. Vector index is counterIJ. More...
vector_fp	m_Beta1MX_ij_LL
	Derivative of Beta1_ij[i][j] wrt TT. Vector index is counterIJ. More...
vector_fp	m_Beta1MX_ij_P
	Derivative of Beta1_ij[i][j] wrt P. Vector index is counterIJ. More...
Array2D	m_Beta1MX_ij_coeff
	Array of coefficients for Beta1, a variable in Pitzer's papers. More...
vector_fp	m_Beta2MX_ij
	Array of 2D data used in the Pitzer/HMW formulation. More...
vector_fp	m_Beta2MX_ij_L
	Derivative of Beta2_ij[i][j] wrt T. Vector index is counterIJ. More...
vector_fp	m_Beta2MX_ij_LL
	Derivative of Beta2_ij[i][j] wrt TT. Vector index is counterIJ. More...
vector_fp	m_Beta2MX_ij_P
	Derivative of Beta2_ij[i][j] wrt P. Vector index is counterIJ. More...
Array2D	m_Beta2MX_ij_coeff
	Array of coefficients for Beta2, a variable in Pitzer's papers. More...
vector_fp	m_Alpha1MX_ij
vector_fp	m_Alpha2MX_ij
	Array of 2D data used in the Pitzer/HMW formulation. More...
vector_fp	m_CphiMX_ij
	Array of 2D data used in the Pitzer/HMW formulation. More...
vector_fp	m_CphiMX_ij_L
	Derivative of Cphi_ij[i][j] wrt T. Vector index is counterIJ. More...
vector_fp	m_CphiMX_ij_LL
	Derivative of Cphi_ij[i][j] wrt TT. Vector index is counterIJ. More...
vector_fp	m_CphiMX_ij_P
	Derivative of Cphi_ij[i][j] wrt P. Vector index is counterIJ. More...
Array2D	m_CphiMX_ij_coeff
	Array of coefficients for CphiMX, a parameter in the activity coefficient formulation. More...
vector_fp	m_Theta_ij
	Array of 2D data for Theta_ij[i][j] in the Pitzer/HMW formulation. More...
vector_fp	m_Theta_ij_L
	Derivative of Theta_ij[i][j] wrt T. Vector index is counterIJ. More...
vector_fp	m_Theta_ij_LL
	Derivative of Theta_ij[i][j] wrt TT. Vector index is counterIJ. More...
vector_fp	m_Theta_ij_P
	Derivative of Theta_ij[i][j] wrt P. Vector index is counterIJ. More...
Array2D	m_Theta_ij_coeff
	Array of coefficients for Theta_ij[i][j] in the Pitzer/HMW formulation. More...
vector_fp	m_Psi_ijk
	Array of 3D data used in the Pitzer/HMW formulation. More...
vector_fp	m_Psi_ijk_L
	Derivative of Psi_ijk[n] wrt T. More...
vector_fp	m_Psi_ijk_LL
	Derivative of Psi_ijk[n] wrt TT. More...
vector_fp	m_Psi_ijk_P
	Derivative of Psi_ijk[n] wrt P. More...
Array2D	m_Psi_ijk_coeff
	Array of coefficients for Psi_ijk[n] in the Pitzer/HMW formulation. More...
Array2D	m_Lambda_nj
	Lambda coefficient for the ij interaction. More...
Array2D	m_Lambda_nj_L
	Derivative of Lambda_nj[i][j] wrt T. see m_Lambda_ij. More...
Array2D	m_Lambda_nj_LL
	Derivative of Lambda_nj[i][j] wrt TT. More...
Array2D	m_Lambda_nj_P
	Derivative of Lambda_nj[i][j] wrt P. More...
Array2D	m_Lambda_nj_coeff
	Array of coefficients for Lambda_nj[i][j] in the Pitzer/HMW formulation. More...
vector_fp	m_Mu_nnn
	Mu coefficient for the self-ternary neutral coefficient. More...
vector_fp	m_Mu_nnn_L
	Mu coefficient temperature derivative for the self-ternary neutral coefficient. More...
vector_fp	m_Mu_nnn_LL
	Mu coefficient 2nd temperature derivative for the self-ternary neutral coefficient. More...
vector_fp	m_Mu_nnn_P
	Mu coefficient pressure derivative for the self-ternary neutral coefficient. More...
Array2D	m_Mu_nnn_coeff
	Array of coefficients form_Mu_nnn term. More...
vector_fp	m_lnActCoeffMolal_Scaled
	Logarithm of the activity coefficients on the molality scale. More...
vector_fp	m_lnActCoeffMolal_Unscaled
	Logarithm of the activity coefficients on the molality scale. More...
vector_fp	m_dlnActCoeffMolaldT_Scaled
	Derivative of the Logarithm of the activity coefficients on the molality scale wrt T. More...
vector_fp	m_dlnActCoeffMolaldT_Unscaled
	Derivative of the Logarithm of the activity coefficients on the molality scale wrt T. More...
vector_fp	m_d2lnActCoeffMolaldT2_Scaled
	Derivative of the Logarithm of the activity coefficients on the molality scale wrt TT. More...
vector_fp	m_d2lnActCoeffMolaldT2_Unscaled
	Derivative of the Logarithm of the activity coefficients on the molality scale wrt TT. More...
vector_fp	m_dlnActCoeffMolaldP_Scaled
	Derivative of the Logarithm of the activity coefficients on the molality scale wrt P. More...
vector_fp	m_dlnActCoeffMolaldP_Unscaled
	Derivative of the Logarithm of the activity coefficients on the molality scale wrt P. More...
vector_fp	m_molalitiesCropped
	Cropped and modified values of the molalities used in activity coefficient calculations. More...
bool	m_molalitiesAreCropped
	Boolean indicating whether the molalities are cropped or are modified. More...
vector_int	m_CounterIJ
	a counter variable for keeping track of symmetric binary interactions amongst the solute species. More...
double	elambda [17]
	This is elambda, MEC. More...
double	elambda1 [17]
	This is elambda1, MEC. More...
vector_fp	m_gfunc_IJ
	Various temporary arrays used in the calculation of the Pitzer activity coefficients. More...
vector_fp	m_g2func_IJ
	This is the value of g2(x2) in Pitzer's papers. Vector index is counterIJ. More...
vector_fp	m_hfunc_IJ
	hfunc, was called gprime in Pitzer's paper. More...
vector_fp	m_h2func_IJ
	hfunc2, was called gprime in Pitzer's paper. More...
vector_fp	m_BMX_IJ
	Intermediate variable called BMX in Pitzer's paper. More...
vector_fp	m_BMX_IJ_L
	Derivative of BMX_IJ wrt T. Vector index is counterIJ. More...
vector_fp	m_BMX_IJ_LL
	Derivative of BMX_IJ wrt TT. Vector index is counterIJ. More...
vector_fp	m_BMX_IJ_P
	Derivative of BMX_IJ wrt P. Vector index is counterIJ. More...
vector_fp	m_BprimeMX_IJ
	Intermediate variable called BprimeMX in Pitzer's paper. More...
vector_fp	m_BprimeMX_IJ_L
	Derivative of BprimeMX wrt T. Vector index is counterIJ. More...
vector_fp	m_BprimeMX_IJ_LL
	Derivative of BprimeMX wrt TT. Vector index is counterIJ. More...
vector_fp	m_BprimeMX_IJ_P
	Derivative of BprimeMX wrt P. Vector index is counterIJ. More...
vector_fp	m_BphiMX_IJ
	Intermediate variable called BphiMX in Pitzer's paper. More...
vector_fp	m_BphiMX_IJ_L
	Derivative of BphiMX_IJ wrt T. Vector index is counterIJ. More...
vector_fp	m_BphiMX_IJ_LL
	Derivative of BphiMX_IJ wrt TT. Vector index is counterIJ. More...
vector_fp	m_BphiMX_IJ_P
	Derivative of BphiMX_IJ wrt P. Vector index is counterIJ. More...
vector_fp	m_Phi_IJ
	Intermediate variable called Phi in Pitzer's paper. More...
vector_fp	m_Phi_IJ_L
	Derivative of m_Phi_IJ wrt T. Vector index is counterIJ. More...
vector_fp	m_Phi_IJ_LL
	Derivative of m_Phi_IJ wrt TT. Vector index is counterIJ. More...
vector_fp	m_Phi_IJ_P
	Derivative of m_Phi_IJ wrt P. Vector index is counterIJ. More...
vector_fp	m_Phiprime_IJ
	Intermediate variable called Phiprime in Pitzer's paper. More...
vector_fp	m_PhiPhi_IJ
	Intermediate variable called PhiPhi in Pitzer's paper. More...
vector_fp	m_PhiPhi_IJ_L
	Derivative of m_PhiPhi_IJ wrt T. Vector index is counterIJ. More...
vector_fp	m_PhiPhi_IJ_LL
	Derivative of m_PhiPhi_IJ wrt TT. Vector index is counterIJ. More...
vector_fp	m_PhiPhi_IJ_P
	Derivative of m_PhiPhi_IJ wrt P. Vector index is counterIJ. More...
vector_fp	m_CMX_IJ
	Intermediate variable called CMX in Pitzer's paper. More...
vector_fp	m_CMX_IJ_L
	Derivative of m_CMX_IJ wrt T. Vector index is counterIJ. More...
vector_fp	m_CMX_IJ_LL
	Derivative of m_CMX_IJ wrt TT. Vector index is counterIJ. More...
vector_fp	m_CMX_IJ_P
	Derivative of m_CMX_IJ wrt P. Vector index is counterIJ. More...
vector_fp	m_gamma_tmp
	Intermediate storage of the activity coefficient itself. More...
vector_fp	IMS_lnActCoeffMolal_
	Logarithm of the molal activity coefficients. More...
doublereal	IMS_X_o_cutoff_
	value of the solute mole fraction that centers the cutoff polynomials for the cutoff =1 process; More...
doublereal	IMS_cCut_
	Parameter in the polyExp cutoff treatment having to do with rate of exp decay. More...
doublereal	IMS_slopegCut_
	Parameter in the polyExp cutoff treatment. More...
doublereal	MC_X_o_cutoff_
	value of the solvent mole fraction that centers the cutoff polynomials for the cutoff =1 process; More...
doublereal	m_last_is
Parameters in the polyExp cutoff treatment having to do with rate of exp decay
doublereal	IMS_dfCut_
doublereal	IMS_efCut_
doublereal	IMS_afCut_
doublereal	IMS_bfCut_
doublereal	IMS_dgCut_
doublereal	IMS_egCut_
doublereal	IMS_agCut_
doublereal	IMS_bgCut_
Parameters in the Molality Exp cutoff treatment
doublereal	MC_dpCut_
doublereal	MC_epCut_
doublereal	MC_apCut_
doublereal	MC_bpCut_
doublereal	MC_cpCut_
doublereal	CROP_ln_gamma_o_min
doublereal	CROP_ln_gamma_o_max
doublereal	CROP_ln_gamma_k_min
doublereal	CROP_ln_gamma_k_max
vector_int	CROP_speciesCropped_
	This is a boolean-type vector indicating whether a species's activity coefficient is in the cropped regime. More...

Additional Inherited Members
Protected Attributes inherited from MolalityVPSSTP
int	m_pHScalingType
	Scaling to be used for output of single-ion species activity coefficients. More...
size_t	m_indexCLM
	Index of the phScale species. More...
doublereal	m_weightSolvent
	Molecular weight of the Solvent. More...
doublereal	m_xmolSolventMIN
doublereal	m_Mnaught
	This is the multiplication factor that goes inside log expressions involving the molalities of species. More...
vector_fp	m_molalities
	Current value of the molalities of the species in the phase. More...
Protected Attributes inherited from VPStandardStateTP
doublereal	m_Pcurrent
	Current value of the pressure - state variable. More...
double	m_minTemp
	The minimum temperature at which data for all species is valid. More...
double	m_maxTemp
	The maximum temperature at which data for all species is valid. More...
doublereal	m_Tlast_ss
	The last temperature at which the standard state thermodynamic properties were calculated at. More...
doublereal	m_Plast_ss
	The last pressure at which the Standard State thermodynamic properties were calculated at. More...
std::vector< std::unique_ptr< PDSS > >	m_PDSS_storage
	Storage for the PDSS objects for the species. More...
vector_fp	m_h0_RT
	Vector containing the species reference enthalpies at T = m_tlast and P = p_ref. More...
vector_fp	m_cp0_R
	Vector containing the species reference constant pressure heat capacities at T = m_tlast and P = p_ref. More...
vector_fp	m_g0_RT
	Vector containing the species reference Gibbs functions at T = m_tlast and P = p_ref. More...
vector_fp	m_s0_R
	Vector containing the species reference entropies at T = m_tlast and P = p_ref. More...
vector_fp	m_V0
	Vector containing the species reference molar volumes. More...
vector_fp	m_hss_RT
	Vector containing the species Standard State enthalpies at T = m_tlast and P = m_plast. More...
vector_fp	m_cpss_R
	Vector containing the species Standard State constant pressure heat capacities at T = m_tlast and P = m_plast. More...
vector_fp	m_gss_RT
	Vector containing the species Standard State Gibbs functions at T = m_tlast and P = m_plast. More...
vector_fp	m_sss_R
	Vector containing the species Standard State entropies at T = m_tlast and P = m_plast. More...
vector_fp	m_Vss
	Vector containing the species standard state volumes at T = m_tlast and P = m_plast. More...
Protected Attributes inherited from ThermoPhase
MultiSpeciesThermo	m_spthermo
	Pointer to the calculation manager for species reference-state thermodynamic properties. More...
AnyMap	m_input
	Data supplied via setParameters. More...
std::vector< const XML_Node * >	m_speciesData
	Vector of pointers to the species databases. More...
doublereal	m_phi
	Stored value of the electric potential for this phase. Units are Volts. More...
bool	m_chargeNeutralityNecessary
	Boolean indicating whether a charge neutrality condition is a necessity. More...
int	m_ssConvention
	Contains the standard state convention. More...
doublereal	m_tlast
	last value of the temperature processed by reference state More...
Protected Attributes inherited from Phase
ValueCache	m_cache
	Cached for saved calculations within each ThermoPhase. More...
size_t	m_kk
	Number of species in the phase. More...
size_t	m_ndim
	Dimensionality of the phase. More...
vector_fp	m_speciesComp
	Atomic composition of the species. More...
vector_fp	m_speciesCharge
	Vector of species charges. length m_kk. More...
std::map< std::string, shared_ptr< Species > >	m_species
UndefElement::behavior	m_undefinedElementBehavior
	Flag determining behavior when adding species with an undefined element. More...
bool	m_caseSensitiveSpecies
	Flag determining whether case sensitive species names are enforced. More...

Detailed Description

Class HMWSoln represents a dilute or concentrated liquid electrolyte phase which obeys the Pitzer formulation for nonideality.

As a prerequisite to the specification of thermodynamic quantities, The concentrations of the ionic species are assumed to obey the electroneutrality condition.

Specification of Species Standard State Properties

The solvent is assumed to be liquid water. A real model for liquid water (IAPWS 1995 formulation) is used as its standard state. All standard state properties for the solvent are based on this real model for water, and involve function calls to the object that handles the real water model, Cantera::WaterPropsIAPWS.

The standard states for solutes are on the unit molality basis. Therefore, in the documentation below, the normal \( o \) superscript is replaced with the \( \triangle \) symbol. The reference state symbol is now \( \triangle, ref \).

It is assumed that the reference state thermodynamics may be obtained by a pointer to a populated species thermodynamic property manager class (see ThermoPhase::m_spthermo). How to relate pressure changes to the reference state thermodynamics is resolved at this level.

For solutes that rely on ThermoPhase::m_spthermo, are assumed to have an incompressible standard state mechanical property. In other words, the molar volumes are independent of temperature and pressure.

For these incompressible, standard states, the molar internal energy is independent of pressure. Since the thermodynamic properties are specified by giving the standard-state enthalpy, the term \( P_0 \hat v\) is subtracted from the specified molar enthalpy to compute the molar internal energy. The entropy is assumed to be independent of the pressure.

The enthalpy function is given by the following relation.

\[ h^\triangle_k(T,P) = h^{\triangle,ref}_k(T) + \tilde{v}_k \left( P - P_{ref} \right) \]

For an incompressible, stoichiometric substance, the molar internal energy is independent of pressure. Since the thermodynamic properties are specified by giving the standard-state enthalpy, the term \( P_{ref} \tilde v\) is subtracted from the specified reference molar enthalpy to compute the molar internal energy.

\[ u^\triangle_k(T,P) = h^{\triangle,ref}_k(T) - P_{ref} \tilde{v}_k \]

The solute standard state heat capacity and entropy are independent of pressure. The solute standard state Gibbs free energy is obtained from the enthalpy and entropy functions.

The current model assumes that an incompressible molar volume for all solutes. The molar volume for the water solvent, however, is obtained from a pure water equation of state, waterSS. Therefore, the water standard state varies with both T and P. It is an error to request standard state water properties at a T and P where the water phase is not a stable phase, that is, beyond its spinodal curve.

Specification of Solution Thermodynamic Properties

Chemical potentials of the solutes, \( \mu_k \), and the solvent, \( \mu_o \), which are based on the molality form, have the following general format:

\[ \mu_k = \mu^{\triangle}_k(T,P) + R T ln(\gamma_k^{\triangle} \frac{m_k}{m^\triangle}) \]

\[ \mu_o = \mu^o_o(T,P) + RT ln(a_o) \]

where \( \gamma_k^{\triangle} \) is the molality based activity coefficient for species \(k\).

Individual activity coefficients of ions can not be independently measured. Instead, only binary pairs forming electroneutral solutions can be measured. This problem leads to a redundancy in the evaluation of species standard state properties. The redundancy issue is resolved by setting the standard state chemical potential enthalpy, entropy, and volume for the hydrogen ion, H+, to zero, for every temperature and pressure. After this convention is applied, all other standard state properties of ionic species contain meaningful information.

Ionic Strength

Most of the parameterizations within the model use the ionic strength as a key variable. The ionic strength, \( I\) is defined as follows

\[ I = \frac{1}{2} \sum_k{m_k z_k^2} \]

\( m_k \) is the molality of the kth species. \( z_k \) is the charge of the kth species. Note, the ionic strength is a defined units quantity. The molality has defined units of gmol kg-1, and therefore the ionic strength has units of sqrt(gmol/kg).

Specification of the Excess Gibbs Free Energy

Pitzer's formulation may best be represented as a specification of the excess Gibbs free energy, \( G^{ex} \), defined as the deviation of the total Gibbs free energy from that of an ideal molal solution.

\[ G = G^{id} + G^{ex} \]

The ideal molal solution contribution, not equal to an ideal solution contribution and in fact containing a singularity at the zero solvent mole fraction limit, is given below.

\[ G^{id} = n_o \mu^o_o + \sum_{k\ne o} n_k \mu_k^{\triangle} + \tilde{M}_o n_o ( RT (\sum{m_i(\ln(m_i)-1)})) \]

From the excess Gibbs free energy formulation, the activity coefficient expression and the osmotic coefficient expression for the solvent may be defined, by taking the appropriate derivatives. Using this approach guarantees that the entire system will obey the Gibbs-Duhem relations.

Pitzer employs the following general expression for the excess Gibbs free energy

\[ \begin{array}{cclc} \frac{G^{ex}}{\tilde{M}_o n_o RT} &= & \left( \frac{4A_{Debye}I}{3b} \right) \ln(1 + b \sqrt{I}) + 2 \sum_c \sum_a m_c m_a B_{ca} + \sum_c \sum_a m_c m_a Z C_{ca} \\&& + \sum_{c < c'} \sum m_c m_{c'} \left[ 2 \Phi_{c{c'}} + \sum_a m_a \Psi_{c{c'}a} \right] + \sum_{a < a'} \sum m_a m_{a'} \left[ 2 \Phi_{a{a'}} + \sum_c m_c \Psi_{a{a'}c} \right] \\&& + 2 \sum_n \sum_c m_n m_c \lambda_{nc} + 2 \sum_n \sum_a m_n m_a \lambda_{na} + 2 \sum_{n < n'} \sum m_n m_{n'} \lambda_{n{n'}} + \sum_n m^2_n \lambda_{nn} \end{array} \]

a is a subscript over all anions, c is a subscript extending over all cations, and i is a subscript that extends over all anions and cations. n is a subscript that extends only over neutral solute molecules. The second line contains cross terms where cations affect cations and/or cation/anion pairs, and anions affect anions or cation/anion pairs. Note part of the coefficients, \( \Phi_{c{c'}} \) and \( \Phi_{a{a'}} \) stem from the theory of unsymmetrical mixing of electrolytes with different charges. This theory depends on the total ionic strength of the solution, and therefore, \( \Phi_{c{c'}} \) and \( \Phi_{a{a'}} \) will depend on I, the ionic strength. \( B_{ca}\) is a strong function of the total ionic strength, I, of the electrolyte. The rest of the coefficients are assumed to be independent of the molalities or ionic strengths. However, all coefficients are potentially functions of the temperature and pressure of the solution.

A is the Debye-Huckel constant. Its specification is described in its own section below.

\( I\) is the ionic strength of the solution, and is given by:

\[ I = \frac{1}{2} \sum_k{m_k z_k^2} \]

In contrast to several other Debye-Huckel implementations (see DebyeHuckel), the parameter \( b\) in the above equation is a constant that does not vary with respect to ion identity. This is an important simplification as it avoids troubles with satisfaction of the Gibbs-Duhem analysis.

The function \( Z \) is given by

\[ Z = \sum_i m_i \left| z_i \right| \]

The value of \( B_{ca}\) is given by the following function

\[ B_{ca} = \beta^{(0)}_{ca} + \beta^{(1)}_{ca} g(\alpha^{(1)}_{ca} \sqrt{I}) + \beta^{(2)}_{ca} g(\alpha^{(2)}_{ca} \sqrt{I}) \]

where

\[ g(x) = 2 \frac{(1 - (1 + x)\exp[-x])}{x^2} \]

The formulation for \( B_{ca}\) combined with the formulation of the Debye- Huckel term in the eqn. for the excess Gibbs free energy stems essentially from an empirical fit to the ionic strength dependent data based over a wide sampling of binary electrolyte systems. \( C_{ca} \), \( \lambda_{nc} \), \( \lambda_{na} \), \( \lambda_{nn} \), \( \Psi_{c{c'}a} \), \( \Psi_{a{a'}c} \) are experimentally derived coefficients that may have pressure and/or temperature dependencies.

The \( \Phi_{c{c'}} \) and \( \Phi_{a{a'}} \) formulations are slightly more complicated. \( b \) is a universal constant defined to be equal to \( 1.2\ kg^{1/2}\ gmol^{-1/2} \). The exponential coefficient \( \alpha^{(1)}_{ca} \) is usually fixed at \( \alpha^{(1)}_{ca} = 2.0\ kg^{1/2} gmol^{-1/2}\) except for 2-2 electrolytes, while other parameters were fit to experimental data. For 2-2 electrolytes, \( \alpha^{(1)}_{ca} = 1.4\ kg^{1/2}\ gmol^{-1/2}\) is used in combination with either \( \alpha^{(2)}_{ca} = 12\ kg^{1/2}\ gmol^{-1/2}\) or \( \alpha^{(2)}_{ca} = k A_\psi \), where k is a constant. For electrolytes other than 2-2 electrolytes the \( \beta^{(2)}_{ca} g(\alpha^{(2)}_{ca} \sqrt{I}) \) term is not used in the fitting procedure; it is only used for divalent metal solfates and other high-valence electrolytes which exhibit significant association at low ionic strengths.

The \( \beta^{(0)}_{ca} \), \( \beta^{(1)}_{ca}\), \( \beta^{(2)}_{ca} \), and \( C_{ca} \) binary coefficients are referred to as ion- interaction or Pitzer parameters. These Pitzer parameters may vary with temperature and pressure but they do not depend on the ionic strength. Their values and temperature derivatives of their values have been tabulated for a range of electrolytes

The \( \Phi_{c{c'}} \) and \( \Phi_{a{a'}} \) contributions, which capture cation-cation and anion-anion interactions, also have an ionic strength dependence.

Ternary contributions \( \Psi_{c{c'}a} \) and \( \Psi_{a{a'}c} \) have been measured also for some systems. The success of the Pitzer method lies in its ability to model nonlinear activity coefficients of complex multicomponent systems with just binary and minor ternary contributions, which can be independently measured in binary or ternary subsystems.

Multicomponent Activity Coefficients for Solutes

The formulas for activity coefficients of solutes may be obtained by taking the following derivative of the excess Gibbs Free Energy formulation described above:

\[ \ln(\gamma_k^\triangle) = \frac{d\left( \frac{G^{ex}}{M_o n_o RT} \right)}{d(m_k)}\Bigg|_{n_i} \]

In the formulas below the following conventions are used. The subscript M refers to a particular cation. The subscript X refers to a particular anion, whose activity is being currently evaluated. the subscript a refers to a summation over all anions in the solution, while the subscript c refers to a summation over all cations in the solutions.

The activity coefficient for a particular cation M is given by

\[ \ln(\gamma_M^\triangle) = -z_M^2(F) + \sum_a m_a \left( 2 B_{Ma} + Z C_{Ma} \right) + z_M \left( \sum_a \sum_c m_a m_c C_{ca} \right) + \sum_c m_c \left[ 2 \Phi_{Mc} + \sum_a m_a \Psi_{Mca} \right] + \sum_{a < a'} \sum m_a m_{a'} \Psi_{Ma{a'}} + 2 \sum_n m_n \lambda_{nM} \]

The activity coefficient for a particular anion X is given by

\[ \ln(\gamma_X^\triangle) = -z_X^2(F) + \sum_a m_c \left( 2 B_{cX} + Z C_{cX} \right) + \left|z_X \right| \left( \sum_a \sum_c m_a m_c C_{ca} \right) + \sum_a m_a \left[ 2 \Phi_{Xa} + \sum_c m_c \Psi_{cXa} \right] + \sum_{c < c'} \sum m_c m_{c'} \Psi_{c{c'}X} + 2 \sum_n m_n \lambda_{nM} \]

where the function \( F \) is given by

\[ F = - A_{\phi} \left[ \frac{\sqrt{I}}{1 + b \sqrt{I}} + \frac{2}{b} \ln{\left(1 + b\sqrt{I}\right)} \right] + \sum_a \sum_c m_a m_c B'_{ca} + \sum_{c < c'} \sum m_c m_{c'} \Phi'_{c{c'}} + \sum_{a < a'} \sum m_a m_{a'} \Phi'_{a{a'}} \]

We have employed the definition of \( A_{\phi} \), also used by Pitzer which is equal to

\[ A_{\phi} = \frac{A_{Debye}}{3} \]

In the above formulas, \( \Phi'_{c{c'}} \) and \( \Phi'_{a{a'}} \) are the ionic strength derivatives of \( \Phi_{c{c'}} \) and \( \Phi_{a{a'}} \), respectively.

The function \( B'_{MX} \) is defined as:

\[ B'_{MX} = \left( \frac{\beta^{(1)}_{MX} h(\alpha^{(1)}_{MX} \sqrt{I})}{I} \right) \left( \frac{\beta^{(2)}_{MX} h(\alpha^{(2)}_{MX} \sqrt{I})}{I} \right) \]

where \( h(x) \) is defined as

\[ h(x) = g'(x) \frac{x}{2} = \frac{2\left(1 - \left(1 + x + \frac{x^2}{2} \right)\exp(-x) \right)}{x^2} \]

The activity coefficient for neutral species N is given by

\[ \ln(\gamma_N^\triangle) = 2 \left( \sum_i m_i \lambda_{iN}\right) \]

Activity of the Water Solvent

The activity for the solvent water, \( a_o \), is not independent and must be determined either from the Gibbs-Duhem relation or from taking the appropriate derivative of the same excess Gibbs free energy function as was used to formulate the solvent activity coefficients. Pitzer's description follows the later approach to derive a formula for the osmotic coefficient, \( \phi \).

\[ \phi - 1 = - \left( \frac{d\left(\frac{G^{ex}}{RT} \right)}{d(\tilde{M}_o n_o)} \right) \frac{1}{\sum_{i \ne 0} m_i} \]

The osmotic coefficient may be related to the water activity by the following relation:

\[ \phi = - \frac{1}{\tilde{M}_o \sum_{i \neq o} m_i} \ln(a_o) = - \frac{n_o}{\sum_{i \neq o}n_i} \ln(a_o) \]

The result is the following

\[ \begin{array}{ccclc} \phi - 1 &= & \frac{2}{\sum_{i \ne 0} m_i} \bigg[ & - A_{\phi} \frac{I^{3/2}}{1 + b \sqrt{I}} + \sum_c \sum_a m_c m_a \left( B^{\phi}_{ca} + Z C_{ca}\right) \\&&& + \sum_{c < c'} \sum m_c m_{c'} \left[ \Phi^{\phi}_{c{c'}} + \sum_a m_a \Psi_{c{c'}a} \right] + \sum_{a < a'} \sum m_a m_{a'} \left[ \Phi^{\phi}_{a{a'}} + \sum_c m_c \Psi_{a{a'}c} \right] \\&&& + \sum_n \sum_c m_n m_c \lambda_{nc} + \sum_n \sum_a m_n m_a \lambda_{na} + \sum_{n < n'} \sum m_n m_{n'} \lambda_{n{n'}} + \frac{1}{2} \left( \sum_n m^2_n \lambda_{nn}\right) \bigg] \end{array} \]

It can be shown that the expression

\[ B^{\phi}_{ca} = \beta^{(0)}_{ca} + \beta^{(1)}_{ca} \exp{(- \alpha^{(1)}_{ca} \sqrt{I})} + \beta^{(2)}_{ca} \exp{(- \alpha^{(2)}_{ca} \sqrt{I} )} \]

is consistent with the expression \( B_{ca} \) in the \( G^{ex} \) expression after carrying out the derivative wrt \( m_M \).

Also taking into account that \( {\Phi}_{c{c'}} \) and \( {\Phi}_{a{a'}} \) has an ionic strength dependence.

\[ \Phi^{\phi}_{c{c'}} = {\Phi}_{c{c'}} + I \frac{d{\Phi}_{c{c'}}}{dI} \]

\[ \Phi^{\phi}_{a{a'}} = \Phi_{a{a'}} + I \frac{d\Phi_{a{a'}}}{dI} \]

Temperature and Pressure Dependence of the Pitzer Parameters

In general most of the coefficients introduced in the previous section may have a temperature and pressure dependence. The temperature and pressure dependence of these coefficients strongly influence the value of the excess Enthalpy and excess Volumes of Pitzer solutions. Therefore, these are readily measurable quantities. HMWSoln provides several different methods for putting these dependencies into the coefficients. HMWSoln has an implementation described by Silverter and Pitzer (1977), which was used to fit experimental data for NaCl over an extensive range, below the critical temperature of water. They found a temperature functional form for fitting the 3 following coefficients that describe the Pitzer parameterization for a single salt to be adequate to describe how the excess Gibbs free energy values for the binary salt changes with respect to temperature. The following functional form was used to fit the temperature dependence of the Pitzer Coefficients for each cation - anion pair, M X.

\[ \beta^{(0)}_{MX} = q^{b0}_0 + q^{b0}_1 \left( T - T_r \right) + q^{b0}_2 \left( T^2 - T_r^2 \right) + q^{b0}_3 \left( \frac{1}{T} - \frac{1}{T_r}\right) + q^{b0}_4 \ln \left( \frac{T}{T_r} \right) \]

\[ \beta^{(1)}_{MX} = q^{b1}_0 + q^{b1}_1 \left( T - T_r \right) + q^{b1}_{2} \left( T^2 - T_r^2 \right) \]

\[ C^{\phi}_{MX} = q^{Cphi}_0 + q^{Cphi}_1 \left( T - T_r \right) + q^{Cphi}_2 \left( T^2 - T_r^2 \right) + q^{Cphi}_3 \left( \frac{1}{T} - \frac{1}{T_r}\right) + q^{Cphi}_4 \ln \left( \frac{T}{T_r} \right) \]

where

\[ C^{\phi}_{MX} = 2 {\left| z_M z_X \right|}^{1/2} C_{MX} \]

In later papers, Pitzer has added additional temperature dependencies to all of the other remaining second and third order virial coefficients. Some of these dependencies are justified and motivated by theory. Therefore, a formalism wherein all of the coefficients in the base theory have temperature dependencies associated with them has been implemented within the HMWSoln object. Much of the formalism, however, has been unexercised.

In the HMWSoln object, the temperature dependence of the Pitzer parameters are specified in the following way.

• PIZTER_TEMP_CONSTANT - string name "CONSTANT"
  • Assumes that all coefficients are independent of temperature and pressure
• PIZTER_TEMP_COMPLEX1 - string name "COMPLEX" or "COMPLEX1"
  • Uses the full temperature dependence for the \(\beta^{(0)}_{MX} \) (5 coeffs), the \(\beta^{(1)}_{MX} \) (3 coeffs), and \( C^{\phi}_{MX} \) (5 coeffs) parameters described above.
• PITZER_TEMP_LINEAR - string name "LINEAR"
  • Uses just the temperature dependence for the \(\beta^{(0)}_{MX} \), the \(\beta^{(1)}_{MX} \), and \( C^{\phi}_{MX} \) coefficients described above. There are 2 coefficients for each term.

The temperature dependence is specified in an attributes field in the activityCoefficients XML block, called TempModel. Permissible values for that attribute are CONSTANT, COMPLEX1, and LINEAR.

The specification of the binary interaction between a cation and an anion is given by the coefficients, \( B_{MX}\) and \( C_{MX}\) The specification of \( B_{MX}\) is a function of \(\beta^{(0)}_{MX} \), \(\beta^{(1)}_{MX} \), \(\beta^{(2)}_{MX} \), \(\alpha^{(1)}_{MX} \), and \(\alpha^{(2)}_{MX} \). \( C_{MX}\) is calculated from \(C^{\phi}_{MX} \) from the formula above. All of the underlying coefficients are specified in the XML element block binarySaltParameters, which has the attribute cation and anion to identify the interaction. XML elements named beta0, beta1, beta2, Cphi, Alpha1, Alpha2 within each binarySaltParameters block specify the parameters. Within each of these blocks multiple parameters describing temperature or pressure dependence are serially listed in the order that they appear in the equation in this document. An example of the beta0 block that fits the COMPLEX1 temperature dependence given above is

Note: The XML input format is deprecated and will be removed in Cantera 3.0

<binarySaltParameters cation="Na+" anion="OH-">
  <beta0> q0, q1, q2, q3, q4  </beta0>
</binarySaltParameters>

The parameters for \( \beta^{(0)}\) fit the following equation:

\[ \beta^{(0)} = q_0^{{\beta}0} + q_1^{{\beta}0} \left( T - T_r \right) + q_2^{{\beta}0} \left( T^2 - T_r^2 \right) + q_3^{{\beta}0} \left( \frac{1}{T} - \frac{1}{T_r} \right) + q_4^{{\beta}0} \ln \left( \frac{T}{T_r} \right) \]

This same COMPLEX1 temperature dependence given above is used for the following parameters: \( \beta^{(0)}_{MX} \), \( \beta^{(1)}_{MX} \), \( \beta^{(2)}_{MX} \), \( \Theta_{cc'} \), \(\Theta_{aa'} \), \( \Psi_{c{c'}a} \) and \( \Psi_{ca{a'}} \).

Like-Charged Binary Ion Parameters and the Mixing Parameters

The previous section contained the functions, \( \Phi_{c{c'}} \), \( \Phi_{a{a'}} \) and their derivatives wrt the ionic strength, \( \Phi'_{c{c'}} \) and \( \Phi'_{a{a'}} \). Part of these terms come from theory.

Since like charged ions repel each other and are generally not near each other, the virial coefficients for same-charged ions are small. However, Pitzer doesn't ignore these in his formulation. Relatively larger and longer range terms between like-charged ions exist however, which appear only for unsymmetrical mixing of same-sign charged ions with different charges. \( \Phi_{ij} \), where \( ij \) is either \( a{a'} \) or \( c{c'} \) is given by

\[ {\Phi}_{ij} = \Theta_{ij} + \,^E \Theta_{ij}(I) \]

\( \Theta_{ij} \) is the small virial coefficient expansion term. Dependent in general on temperature and pressure, its ionic strength dependence is ignored in Pitzer's approach. \( \,^E\Theta_{ij}(I) \) accounts for the electrostatic unsymmetrical mixing effects and is dependent only on the charges of the ions i, j, the total ionic strength and on the dielectric constant and density of the solvent. This seems to be a relatively well- documented part of the theory. They theory below comes from Pitzer summation (Pitzer) in the appendix. It's also mentioned in Bethke's book (Bethke), and the equations are summarized in Harvie & Weare (1980). Within the code, \( \,^E\Theta_{ij}(I) \) is evaluated according to the algorithm described in Appendix B [Pitzer] as

\[ \,^E\Theta_{ij}(I) = \left( \frac{z_i z_j}{4I} \right) \left( J(x_{ij}) - \frac{1}{2} J(x_{ii}) - \frac{1}{2} J(x_{jj}) \right) \]

where \( x_{ij} = 6 z_i z_j A_{\phi} \sqrt{I} \) and

\[ J(x) = \frac{1}{x} \int_0^{\infty}{\left( 1 + q + \frac{1}{2} q^2 - e^q \right) y^2 dy} \]

and \( q = - (\frac{x}{y}) e^{-y} \). \( J(x) \) is evaluated by numerical integration.

The \( \Theta_{ij} \) term is a constant that is specified by the XML element thetaCation and thetaAnion, which has the attribute cation1, cation2 and anion1, anion2 respectively to identify the interaction. No temperature or pressure dependence of this parameter is currently allowed. An example of the block is presented below.

Note: The XML input format is deprecated and will be removed in Cantera 3.0

<thetaCation cation1="Na+" cation2="H+">
           <Theta> 0.036 </Theta>
</thetaCation>

Ternary Pitzer Parameters

The \( \Psi_{c{c'}a} \) and \( \Psi_{ca{a'}} \) terms represent ternary interactions between two cations and an anion and two anions and a cation, respectively. In Pitzer's implementation these terms are usually small in absolute size. Currently these parameters do not have any dependence on temperature, pressure, or ionic strength.

Their values are input using the XML element psiCommonCation and psiCommonAnion. The species id's are specified in attribute fields in the XML element. The fields cation, anion1, and anion2 are used for psiCommonCation. The fields anion, cation1 and cation2 are used for psiCommonAnion. An example block is given below. The Theta field below is a duplicate of the thetaAnion field mentioned above. The two fields are input into the same block for convenience, and because their data are highly correlated, in practice. It is an error for the two blocks to specify different information about thetaAnion (or thetaCation) in different blocks. It's ok to specify duplicate but consistent information in multiple blocks.

Note: The XML input format is deprecated and will be removed in Cantera 3.0

<psiCommonCation cation="Na+" anion1="Cl-" anion2="OH-">
    <Theta> -0.05 </Theta>
    <Psi> -0.006 </Psi>
</psiCommonCation>

Treatment of Neutral Species

Binary virial-coefficient-like interactions between two neutral species may be specified in the \( \lambda_{mn} \) terms that appear in the formulas above. Currently these interactions are independent of temperature, pressure, and ionic strength. Also, currently, the neutrality of the species are not checked. Therefore, this interaction may involve charged species in the solution as well. The identity of the species is specified by the species1 and species2 attributes to the XML lambdaNeutral node. These terms are symmetrical; species1 and species2 may be reversed and the term will be the same. An example is given below.

Note: The XML input format is deprecated and will be removed in Cantera 3.0

<lambdaNeutral species1="CO2" species2="CH4">
    <lambda> 0.05 </lambda>
</lambdaNeutral>

Example of the Specification of Parameters for the Activity Coefficients

An example is given below.

An example activityCoefficients XML block for this formulation is supplied below

Note: The XML input format is deprecated and will be removed in Cantera 3.0

<activityCoefficients model="Pitzer" TempModel="complex1">
    <!-- Pitzer Coefficients
         These coefficients are from Pitzer's main
         paper, in his book.
      -->
    <A_Debye model="water" />
    <ionicRadius default="3.042843"  units="Angstroms">
    </ionicRadius>
    <binarySaltParameters cation="Na+" anion="Cl-">
      <beta0> 0.0765, 0.008946, -3.3158E-6,
              -777.03, -4.4706
      </beta0>
      <beta1> 0.2664, 6.1608E-5, 1.0715E-6, 0.0, 0.0 </beta1>
      <beta2> 0.0,   0.0, 0.0, 0.0, 0.0  </beta2>
      <Cphi> 0.00127, -4.655E-5, 0.0,
             33.317, 0.09421
      </Cphi>
      <Alpha1> 2.0 </Alpha1>
    </binarySaltParameters>
 
    <binarySaltParameters cation="H+" anion="Cl-">
      <beta0> 0.1775, 0.0, 0.0, 0.0, 0.0 </beta0>
      <beta1> 0.2945, 0.0, 0.0, 0.0, 0.0 </beta1>
      <beta2> 0.0,    0.0, 0.0, 0.0, 0.0 </beta2>
      <Cphi> 0.0008, 0.0, 0.0, 0.0, 0.0 </Cphi>
      <Alpha1> 2.0 </Alpha1>
    </binarySaltParameters>
 
    <binarySaltParameters cation="Na+" anion="OH-">
      <beta0> 0.0864, 0.0, 0.0, 0.0, 0.0 </beta0>
      <beta1> 0.253,  0.0, 0.0  0.0, 0.0 </beta1>
      <beta2> 0.0     0.0, 0.0, 0.0, 0.0 </beta2>
      <Cphi> 0.0044,  0.0, 0.0, 0.0, 0.0 </Cphi>
      <Alpha1> 2.0 </Alpha1>
    </binarySaltParameters>
 
    <thetaAnion anion1="Cl-" anion2="OH-">
      <Theta> -0.05,  0.0, 0.0, 0.0, 0.0 </Theta>
    </thetaAnion>
 
    <psiCommonCation cation="Na+" anion1="Cl-" anion2="OH-">
      <Theta> -0.05,  0.0, 0.0, 0.0, 0.0 </Theta>
      <Psi> -0.006 </Psi>
    </psiCommonCation>
 
    <thetaCation cation1="Na+" cation2="H+">
      <Theta> 0.036,  0.0, 0.0, 0.0, 0.0 </Theta>
    </thetaCation>
 
    <psiCommonAnion anion="Cl-" cation1="Na+" cation2="H+">
      <Theta> 0.036,  0.0, 0.0, 0.0, 0.0 </Theta>
      <Psi> -0.004 </Psi>
    </psiCommonAnion>
  </activityCoefficients>

Specification of the Debye-Huckel Constant

In the equations above, the formula for \( A_{Debye} \) is needed. The HMWSoln object uses two methods for specifying these quantities. The default method is to assume that \( A_{Debye} \) is a constant, given in the initialization process, and stored in the member double, m_A_Debye. Optionally, a full water treatment may be employed that makes \( A_{Debye} \) a full function of T and P and creates nontrivial entries for the excess heat capacity, enthalpy, and excess volumes of solution.

\[ A_{Debye} = \frac{F e B_{Debye}}{8 \pi \epsilon R T} {\left( C_o \tilde{M}_o \right)}^{1/2} \]

where

\[ B_{Debye} = \frac{F} {{(\frac{\epsilon R T}{2})}^{1/2}} \]

Therefore:

\[ A_{Debye} = \frac{1}{8 \pi} {\left(\frac{2 N_a \rho_o}{1000}\right)}^{1/2} {\left(\frac{N_a e^2}{\epsilon R T }\right)}^{3/2} \]

Units = sqrt(kg/gmol)

where

• \( N_a \) is Avogadro's number
• \( \rho_w \) is the density of water
• \( e \) is the electronic charge
• \( \epsilon = K \epsilon_o \) is the permittivity of water
• \( K \) is the dielectric constant of water,
• \( \epsilon_o \) is the permittivity of free space.
• \( \rho_o \) is the density of the solvent in its standard state.

Nominal value at 298 K and 1 atm = 1.172576 (kg/gmol)^(1/2) based on:

• \( \epsilon / \epsilon_0 \) = 78.54 (water at 25C)
• T = 298.15 K
• B_Debye = 3.28640E9 (kg/gmol)^(1/2) / m

An example of a fixed value implementation is given below.

Note: The XML input format is deprecated and will be removed in Cantera 3.0

<activityCoefficients model="Pitzer">
      <!-- A_Debye units = sqrt(kg/gmol)  -->
      <A_Debye> 1.172576 </A_Debye>
      <!-- object description continues -->
</activityCoefficients>

An example of a variable value implementation within the HMWSoln object is given below. The model attribute, "water", triggers the full implementation.

Note: The XML input format is deprecated and will be removed in Cantera 3.0

<activityCoefficients model="Pitzer">
      <!-- A_Debye units = sqrt(kg/gmol)  -->
      <A_Debye model="water" />
      <!-- object description continues -->
</activityCoefficients>

Temperature and Pressure Dependence of the Activity Coefficients

Temperature dependence of the activity coefficients leads to nonzero terms for the excess enthalpy and entropy of solution. This means that the partial molar enthalpies, entropies, and heat capacities are all non-trivial to compute. The following formulas are used.

The partial molar enthalpy, \( \bar s_k(T,P) \):

\[ \bar h_k(T,P) = h^{\triangle}_k(T,P) - R T^2 \frac{d \ln(\gamma_k^\triangle)}{dT} \]

The solvent partial molar enthalpy is equal to

\[ \bar h_o(T,P) = h^{o}_o(T,P) - R T^2 \frac{d \ln(a_o)}{dT} = h^{o}_o(T,P) + R T^2 (\sum_{k \neq o} m_k) \tilde{M_o} (\frac{d \phi}{dT}) \]

The partial molar entropy, \( \bar s_k(T,P) \):

\[ \bar s_k(T,P) = s^{\triangle}_k(T,P) - R \ln( \gamma^{\triangle}_k \frac{m_k}{m^{\triangle}})) - R T \frac{d \ln(\gamma^{\triangle}_k) }{dT} \]

\[ \bar s_o(T,P) = s^o_o(T,P) - R \ln(a_o) - R T \frac{d \ln(a_o)}{dT} \]

The partial molar heat capacity, \( C_{p,k}(T,P)\):

\[ \bar C_{p,k}(T,P) = C^{\triangle}_{p,k}(T,P) - 2 R T \frac{d \ln( \gamma^{\triangle}_k)}{dT} - R T^2 \frac{d^2 \ln(\gamma^{\triangle}_k) }{{dT}^2} \]

\[ \bar C_{p,o}(T,P) = C^o_{p,o}(T,P) - 2 R T \frac{d \ln(a_o)}{dT} - R T^2 \frac{d^2 \ln(a_o)}{{dT}^2} \]

The pressure dependence of the activity coefficients leads to non-zero terms for the excess Volume of the solution. Therefore, the partial molar volumes are functions of the pressure derivatives of the activity coefficients.

\[ \bar V_k(T,P) = V^{\triangle}_k(T,P) + R T \frac{d \ln(\gamma^{\triangle}_k) }{dP} \]

\[ \bar V_o(T,P) = V^o_o(T,P) + R T \frac{d \ln(a_o)}{dP} \]

The majority of work for these functions take place in the internal routines that calculate the first and second derivatives of the log of the activity coefficients wrt temperature, s_update_dlnMolalityActCoeff_dT(), s_update_d2lnMolalityActCoeff_dT2(), and the first derivative of the log activity coefficients wrt pressure, s_update_dlnMolalityActCoeff_dP().

%Application within Kinetics Managers

For the time being, we have set the standard concentration for all solute species in this phase equal to the default concentration of the solvent at the system temperature and pressure multiplied by Mnaught (kg solvent / gmol solvent). The solvent standard concentration is just equal to its standard state concentration.

This means that the kinetics operator essentially works on an generalized concentration basis (kmol / m3), with units for the kinetic rate constant specified as if all reactants (solvent or solute) are on a concentration basis (kmol /m3). The concentration will be modified by the activity coefficients.

For example, a bulk-phase binary reaction between liquid solute species j and k, producing a new liquid solute species l would have the following equation for its rate of progress variable, \( R^1 \), which has units of kmol m-3 s-1.

\[ R^1 = k^1 C_j^a C_k^a = k^1 (C^o_o \tilde{M}_o a_j) (C^o_o \tilde{M}_o a_k) \]

where

\[ C_j^a = C^o_o \tilde{M}_o a_j \quad and \quad C_k^a = C^o_o \tilde{M}_o a_k \]

\( C_j^a \) is the activity concentration of species j, and \( C_k^a \) is the activity concentration of species k. \( C^o_o \) is the concentration of water at 298 K and 1 atm. \( \tilde{M}_o \) has units of kg solvent per gmol solvent and is equal to

\[ \tilde{M}_o = \frac{M_o}{1000} \]

\( a_j \) is the activity of species j at the current temperature and pressure and concentration of the liquid phase is given by the molality based activity coefficient multiplied by the molality of the jth species.

\[ a_j = \gamma_j^\triangle m_j = \gamma_j^\triangle \frac{n_j}{\tilde{M}_o n_o} \]

\(k^1 \) has units of m^3/kmol/s.

Therefore the generalized activity concentration of a solute species has the following form

\[ C_j^a = C^o_o \frac{\gamma_j^\triangle n_j}{n_o} \]

The generalized activity concentration of the solvent has the same units, but it's a simpler form

\[ C_o^a = C^o_o a_o \]

The reverse rate constant can then be obtained from the law of microscopic reversibility and the equilibrium expression for the system.

\[ \frac{a_j a_k}{ a_l} = K^{o,1} = \exp(\frac{\mu^o_l - \mu^o_j - \mu^o_k}{R T} ) \]

\( K^{o,1} \) is the dimensionless form of the equilibrium constant.

\[ R^{-1} = k^{-1} C_l^a = k^{-1} (C_o \tilde{M}_o a_l) \]

where

\[ k^{-1} = k^1 K^{o,1} C_o \tilde{M}_o \]

\( k^{-1} \) has units of 1/s.

Note, this treatment may be modified in the future, as events dictate.

XML Example

Note: The XML input format is deprecated and will be removed in Cantera 3.0

The phase model name for this is called StoichSubstance. It must be supplied as the model attribute of the thermo XML element entry. Within the phase XML block, the density of the phase must be specified. An example of an XML file this phase is given below.

<phase id="NaCl_electrolyte" dim="3">
  <speciesArray datasrc="#species_waterSolution">
             H2O(L) Na+ Cl- H+ OH-
  </speciesArray>
  <state>
    <temperature units="K"> 300  </temperature>
    <pressure units="Pa">101325.0</pressure>
    <soluteMolalities>
           Na+:3.0
           Cl-:3.0
           H+:1.0499E-8
           OH-:1.3765E-6
    </soluteMolalities>
  </state>
  <!-- thermo model identifies the inherited class
       from ThermoPhase that will handle the thermodynamics.
    -->
  <thermo model="HMW">
     <standardConc model="solvent_volume" />
   <activityCoefficients model="Pitzer" TempModel="complex1">
              <!-- Pitzer Coefficients
                   These coefficients are from Pitzer's main
                   paper, in his book.
                -->
              <A_Debye model="water" />
              <ionicRadius default="3.042843"  units="Angstroms">
              </ionicRadius>
              <binarySaltParameters cation="Na+" anion="Cl-">
                <beta0> 0.0765, 0.008946, -3.3158E-6,
                        -777.03, -4.4706
                </beta0>
                <beta1> 0.2664, 6.1608E-5, 1.0715E-6 </beta1>
                <beta2> 0.0    </beta2>
                <Cphi> 0.00127, -4.655E-5, 0.0,
                       33.317, 0.09421
                </Cphi>
                <Alpha1> 2.0 </Alpha1>
              </binarySaltParameters>
 
              <binarySaltParameters cation="H+" anion="Cl-">
                <beta0> 0.1775, 0.0, 0.0, 0.0, 0.0</beta0>
                <beta1> 0.2945, 0.0, 0.0 </beta1>
                <beta2> 0.0    </beta2>
                <Cphi> 0.0008, 0.0, 0.0, 0.0, 0.0 </Cphi>
                <Alpha1> 2.0 </Alpha1>
              </binarySaltParameters>
 
              <binarySaltParameters cation="Na+" anion="OH-">
                <beta0> 0.0864, 0.0, 0.0, 0.0, 0.0 </beta0>
                <beta1> 0.253, 0.0, 0.0 </beta1>
                <beta2> 0.0    </beta2>
                <Cphi> 0.0044, 0.0, 0.0, 0.0, 0.0 </Cphi>
                <Alpha1> 2.0 </Alpha1>
              </binarySaltParameters>
 
              <thetaAnion anion1="Cl-" anion2="OH-">
                <Theta> -0.05 </Theta>
              </thetaAnion>
 
              <psiCommonCation cation="Na+" anion1="Cl-" anion2="OH-">
                <Theta> -0.05 </Theta>
                <Psi> -0.006 </Psi>
              </psiCommonCation>
 
              <thetaCation cation1="Na+" cation2="H+">
                <Theta> 0.036 </Theta>
              </thetaCation>
 
              <psiCommonAnion anion="Cl-" cation1="Na+" cation2="H+">
                <Theta> 0.036 </Theta>
                <Psi> -0.004 </Psi>
              </psiCommonAnion>
 
     </activityCoefficients>
 
     <solvent> H2O(L) </solvent>
  </thermo>
  <elementArray datasrc="elements.xml"> O H Na Cl </elementArray>
  <kinetics model="none" >
  </kinetics>
</phase>

Definition at line 1024 of file HMWSoln.h.

Constructor & Destructor Documentation

~HMWSoln()

~HMWSoln

(

)

Definition at line 39 of file HMWSoln.cpp.

HMWSoln() [1/2]

HMWSoln ( const std::string &  inputFile = "", const std::string &  id = ""  )

explicit

Construct and initialize an HMWSoln ThermoPhase object directly from an ASCII input file.

This constructor is a shell that calls the routine initThermo(), with a reference to the parsed input file to get the info for the phase.

Parameters

inputFile	Name of the input file containing the phase definition to set up the object. If blank, an empty phase will be created.
id	ID of the phase in the input file. Defaults to the empty string.

Definition at line 43 of file HMWSoln.cpp.

HMWSoln() [2/2]

HMWSoln	(	XML_Node &	phaseRef,
		const std::string &	id = ""
	)

Construct and initialize an HMWSoln ThermoPhase object directly from an XML database.

Parameters

phaseRef	XML phase node containing the description of the phase
id	id attribute containing the name of the phase. (default is the empty string)

Deprecated:

The XML input format is deprecated and will be removed in Cantera 3.0.

Definition at line 78 of file HMWSoln.cpp.

Member Function Documentation

type()

virtual std::string type ( ) const

inlinevirtual

String indicating the thermodynamic model implemented.

Usually corresponds to the name of the derived class, less any suffixes such as "Phase", TP", "VPSS", etc.

Reimplemented from ThermoPhase.

Definition at line 1058 of file HMWSoln.h.

enthalpy_mole()

doublereal enthalpy_mole ( ) const

virtual

Molar enthalpy. Units: J/kmol.

Molar enthalpy of the solution. Units: J/kmol. (HKM -> Bump up to Parent object)

Reimplemented from ThermoPhase.

Definition at line 115 of file HMWSoln.cpp.

References HMWSoln::getPartialMolarEnthalpies(), HMWSoln::m_tmpV, and Phase::mean_X().

relative_enthalpy()

doublereal relative_enthalpy ( ) const

virtual

Excess molar enthalpy of the solution from the mixing process.

Units: J/ kmol.

Note this is kmol of the total solution.

Definition at line 121 of file HMWSoln.cpp.

References VPStandardStateTP::getEnthalpy_RT(), HMWSoln::getPartialMolarEnthalpies(), HMWSoln::m_gamma_tmp, Phase::m_kk, HMWSoln::m_tmpV, Phase::mean_X(), and ThermoPhase::RT().

Referenced by HMWSoln::relative_molal_enthalpy().

relative_molal_enthalpy()

doublereal relative_molal_enthalpy ( ) const

virtual

Excess molar enthalpy of the solution from the mixing process on a molality basis.

Units: J/ (kmol add salt).

Note this is kmol of the guessed at salt composition

Definition at line 133 of file HMWSoln.cpp.

References Phase::charge(), Phase::getMoleFractions(), Phase::m_kk, HMWSoln::m_tmpV, Cantera::npos, and HMWSoln::relative_enthalpy().

entropy_mole()

doublereal entropy_mole ( ) const

virtual

Molar entropy. Units: J/kmol/K.

Molar entropy of the solution. Units: J/kmol/K. For an ideal, constant partial molar volume solution mixture with pure species phases which exhibit zero volume expansivity:

\[ \hat s(T, P, X_k) = \sum_k X_k \hat s^0_k(T) - \hat R \sum_k X_k log(X_k) \]

The reference-state pure-species entropies \( \hat s^0_k(T,p_{ref}) \) are computed by the species thermodynamic property manager. The pure species entropies are independent of temperature since the volume expansivities are equal to zero.

See also

MultiSpeciesThermo

 (HKM -> Bump up to Parent object)

Reimplemented from ThermoPhase.

Definition at line 173 of file HMWSoln.cpp.

References HMWSoln::getPartialMolarEntropies(), HMWSoln::m_tmpV, and Phase::mean_X().

gibbs_mole()

doublereal gibbs_mole ( ) const

virtual

Molar Gibbs function. Units: J/kmol.

(HKM -> Bump up to Parent object)

Reimplemented from ThermoPhase.

Definition at line 179 of file HMWSoln.cpp.

References HMWSoln::getChemPotentials(), HMWSoln::m_tmpV, and Phase::mean_X().

cp_mole()

doublereal cp_mole ( ) const

virtual

Molar heat capacity at constant pressure. Units: J/kmol/K.

Reimplemented from ThermoPhase.

Definition at line 185 of file HMWSoln.cpp.

References HMWSoln::getPartialMolarCp(), HMWSoln::m_tmpV, and Phase::mean_X().

cv_mole()

doublereal cv_mole ( ) const

virtual

Molar heat capacity at constant volume. Units: J/kmol/K.

(HKM -> Bump up to Parent object)

Reimplemented from ThermoPhase.

Definition at line 191 of file HMWSoln.cpp.

References ThermoPhase::isothermalCompressibility().

calcDensity()

void calcDensity ( )

protectedvirtual

Calculate the density of the mixture using the partial molar volumes and mole fractions as input.

In this equation of state implementation, the density is a function only of the mole fractions. Therefore, it can't be an independent variable. Instead, the pressure is used as the independent variable. Functions which try to set the thermodynamic state by calling setDensity() will cause an exception to be thrown.

The formula for this is

\[ \rho = \frac{\sum_k{X_k W_k}}{\sum_k{X_k V_k}} \]

where \(X_k\) are the mole fractions, \(W_k\) are the molecular weights, and \(V_k\) are the pure species molar volumes.

Note, the basis behind this formula is that in an ideal solution the partial molar volumes are equal to the pure species molar volumes. We have additionally specified in this class that the pure species molar volumes are independent of temperature and pressure.

NOTE: This is a non-virtual function, which is not a member of the ThermoPhase base class.

Reimplemented from VPStandardStateTP.

Definition at line 203 of file HMWSoln.cpp.

References Phase::assignDensity(), ValueCache::getId(), HMWSoln::getPartialMolarVolumes(), ValueCache::getScalar(), Phase::m_cache, HMWSoln::m_tmpV, Phase::mean_X(), Phase::meanMolecularWeight(), VPStandardStateTP::pressure(), Phase::stateMFNumber(), Phase::temperature(), and CachedValue< T >::validate().

getActivityConcentrations()

void getActivityConcentrations ( doublereal *  c ) const

virtual

This method returns an array of generalized activity concentrations.

The generalized activity concentrations, \( C_k^a\), are defined such that \( a_k = C^a_k / C^0_k, \) where \( C^0_k \) is a standard concentration defined below. These generalized concentrations are used by kinetics manager classes to compute the forward and reverse rates of elementary reactions.

The generalized activity concentration of a solute species has the following form

\[ C_j^a = C^o_o \frac{\gamma_j^\triangle n_j}{n_o} \]

The generalized activity concentration of the solvent has the same units, but it's a simpler form

\[ C_o^a = C^o_o a_o \]

Parameters

c	Array of generalized concentrations. The units are kmol m-3 for both the solvent and the solute species

Reimplemented from MolalityVPSSTP.

Definition at line 220 of file HMWSoln.cpp.

References HMWSoln::getActivities(), Phase::m_kk, and HMWSoln::standardConcentration().

standardConcentration()

doublereal standardConcentration ( size_t  k = 0 ) const

virtual

Return the standard concentration for the kth species.

The standard concentration \( C^0_k \) used to normalize the activity (that is, generalized) concentration for use

We have set the standard concentration for all solute species in this phase equal to the default concentration of the solvent at the system temperature and pressure multiplied by Mnaught (kg solvent / gmol solvent). The solvent standard concentration is just equal to its standard state concentration.

\[ C_j^0 = C^o_o \tilde{M}_o \quad and C_o^0 = C^o_o \]

The consequence of this is that the standard concentrations have unequal units between the solvent and the solute. However, both the solvent and the solute activity concentrations will have the same units of kmol/kg^3.

This means that the kinetics operator essentially works on an generalized concentration basis (kmol / m3), with units for the kinetic rate constant specified as if all reactants (solvent or solute) are on a concentration basis (kmol /m3). The concentration will be modified by the activity coefficients.

For example, a bulk-phase binary reaction between liquid solute species j and k, producing a new liquid solute species l would have the following equation for its rate of progress variable, \( R^1 \), which has units of kmol m-3 s-1.

\[ R^1 = k^1 C_j^a C_k^a = k^1 (C^o_o \tilde{M}_o a_j) (C^o_o \tilde{M}_o a_k) \]

where

\[ C_j^a = C^o_o \tilde{M}_o a_j \quad and \quad C_k^a = C^o_o \tilde{M}_o a_k \]

\( C_j^a \) is the activity concentration of species j, and \( C_k^a \) is the activity concentration of species k. \( C^o_o \) is the concentration of water at 298 K and 1 atm. \( \tilde{M}_o \) has units of kg solvent per gmol solvent and is equal to

\[ \tilde{M}_o = \frac{M_o}{1000} \]

\( a_j \) is the activity of species j at the current temperature and pressure and concentration of the liquid phase is given by the molality based activity coefficient multiplied by the molality of the jth species.

\[ a_j = \gamma_j^\triangle m_j = \gamma_j^\triangle \frac{n_j}{\tilde{M}_o n_o} \]

\(k^1 \) has units of m^3/kmol/s.

Therefore the generalized activity concentration of a solute species has the following form

\[ C_j^a = C^o_o \frac{\gamma_j^\triangle n_j}{n_o} \]

The generalized activity concentration of the solvent has the same units, but it's a simpler form

\[ C_o^a = C^o_o a_o \]

Parameters

k	Optional parameter indicating the species. The default is to assume this refers to species 0.

Returns

the standard Concentration in units of m^3/kmol.

Reimplemented from MolalityVPSSTP.

Definition at line 233 of file HMWSoln.cpp.

References VPStandardStateTP::getStandardVolumes(), MolalityVPSSTP::m_Mnaught, and HMWSoln::m_tmpV.

Referenced by HMWSoln::getActivityConcentrations().

getActivities()

void getActivities ( doublereal *  ac ) const

virtual

Get the array of non-dimensional activities at the current solution temperature, pressure, and solution concentration.

We resolve this function at this level by calling on the activityConcentration function. However, derived classes may want to override this default implementation.

(note solvent is on molar scale).

Parameters

ac	Output vector of activities. Length: m_kk.

Reimplemented from MolalityVPSSTP.

Definition at line 243 of file HMWSoln.cpp.

References Phase::m_kk, HMWSoln::m_lnActCoeffMolal_Scaled, MolalityVPSSTP::m_molalities, Phase::moleFraction(), and VPStandardStateTP::updateStandardStateThermo().

Referenced by HMWSoln::getActivityConcentrations().

getChemPotentials()

void getChemPotentials ( doublereal *  mu ) const

virtual

Get the species chemical potentials. Units: J/kmol.

This function returns a vector of chemical potentials of the species in solution.

\[ \mu_k = \mu^{\triangle}_k(T,P) + R T ln(\gamma_k^{\triangle} m_k) \]

Parameters

mu	Output vector of species chemical potentials. Length: m_kk. Units: J/kmol

Reimplemented from ThermoPhase.

Definition at line 272 of file HMWSoln.cpp.

References VPStandardStateTP::getStandardChemPotentials(), Phase::m_kk, HMWSoln::m_lnActCoeffMolal_Scaled, MolalityVPSSTP::m_molalities, Phase::moleFraction(), ThermoPhase::RT(), and Cantera::SmallNumber.

Referenced by HMWSoln::gibbs_mole().

getPartialMolarEnthalpies()

void getPartialMolarEnthalpies ( doublereal *  hbar ) const

virtual

Returns an array of partial molar enthalpies for the species in the mixture.

Units (J/kmol)

For this phase, the partial molar enthalpies are equal to the standard state enthalpies modified by the derivative of the molality-based activity coefficient wrt temperature

\[ \bar h_k(T,P) = h^{\triangle}_k(T,P) - R T^2 \frac{d \ln(\gamma_k^\triangle)}{dT} \]

The solvent partial molar enthalpy is equal to

\[ \bar h_o(T,P) = h^{o}_o(T,P) - R T^2 \frac{d \ln(a_o)}{dT} = h^{o}_o(T,P) + R T^2 (\sum_{k \neq o} m_k) \tilde{M_o} (\frac{d \phi}{dT}) \]

Parameters

hbar	Output vector of species partial molar enthalpies. Length: m_kk. units are J/kmol.

Reimplemented from ThermoPhase.

Definition at line 292 of file HMWSoln.cpp.

References VPStandardStateTP::getEnthalpy_RT(), HMWSoln::m_dlnActCoeffMolaldT_Scaled, Phase::m_kk, ThermoPhase::RT(), HMWSoln::s_update_dlnMolalityActCoeff_dT(), and Phase::temperature().

Referenced by HMWSoln::enthalpy_mole(), and HMWSoln::relative_enthalpy().

getPartialMolarEntropies()

void getPartialMolarEntropies ( doublereal *  sbar ) const

virtual

Returns an array of partial molar entropies of the species in the solution.

Units: J/kmol/K.

Maxwell's equations provide an answer for how calculate this (p.215 Smith and Van Ness)

d(chemPot_i)/dT = -sbar_i

For this phase, the partial molar entropies are equal to the SS species entropies plus the ideal solution contribution plus complicated functions of the temperature derivative of the activity coefficients.

\[ \bar s_k(T,P) = s^{\triangle}_k(T,P) - R \ln( \gamma^{\triangle}_k \frac{m_k}{m^{\triangle}})) - R T \frac{d \ln(\gamma^{\triangle}_k) }{dT} \]

\[ \bar s_o(T,P) = s^o_o(T,P) - R \ln(a_o) - R T \frac{d \ln(a_o)}{dT} \]

Parameters

sbar	Output vector of species partial molar entropies. Length = m_kk. units are J/kmol/K.

Reimplemented from ThermoPhase.

Definition at line 311 of file HMWSoln.cpp.

References Cantera::GasConstant, VPStandardStateTP::getEntropy_R(), HMWSoln::m_dlnActCoeffMolaldT_Scaled, Phase::m_kk, HMWSoln::m_lnActCoeffMolal_Scaled, MolalityVPSSTP::m_molalities, Phase::moleFraction(), ThermoPhase::RT(), HMWSoln::s_update_dlnMolalityActCoeff_dT(), and Cantera::SmallNumber.

Referenced by HMWSoln::entropy_mole().

getPartialMolarVolumes()

void getPartialMolarVolumes ( doublereal *  vbar ) const

virtual

Return an array of partial molar volumes for the species in the mixture.

Units: m^3/kmol.

For this solution, the partial molar volumes are functions of the pressure derivatives of the activity coefficients.

\[ \bar V_k(T,P) = V^{\triangle}_k(T,P) + R T \frac{d \ln(\gamma^{\triangle}_k) }{dP} \]

\[ \bar V_o(T,P) = V^o_o(T,P) + R T \frac{d \ln(a_o)}{dP} \]

Parameters

vbar	Output vector of species partial molar volumes. Length = m_kk. units are m^3/kmol.

Reimplemented from ThermoPhase.

Definition at line 346 of file HMWSoln.cpp.

References VPStandardStateTP::getStandardVolumes(), HMWSoln::m_dlnActCoeffMolaldP_Scaled, Phase::m_kk, ThermoPhase::RT(), and HMWSoln::s_update_dlnMolalityActCoeff_dP().

Referenced by HMWSoln::calcDensity().

getPartialMolarCp()

void getPartialMolarCp ( doublereal *  cpbar ) const

virtual

Return an array of partial molar heat capacities for the species in the mixture.

Units: J/kmol/K

The following formulas are implemented within the code.

\[ \bar C_{p,k}(T,P) = C^{\triangle}_{p,k}(T,P) - 2 R T \frac{d \ln( \gamma^{\triangle}_k)}{dT} - R T^2 \frac{d^2 \ln(\gamma^{\triangle}_k) }{{dT}^2} \]

\[ \bar C_{p,o}(T,P) = C^o_{p,o}(T,P) - 2 R T \frac{d \ln(a_o)}{dT} - R T^2 \frac{d^2 \ln(a_o)}{{dT}^2} \]

Parameters

cpbar

Output vector of species partial molar heat capacities at constant pressure. Length = m_kk. units are J/kmol/K.

Reimplemented from ThermoPhase.

Definition at line 359 of file HMWSoln.cpp.

References Cantera::GasConstant, VPStandardStateTP::getCp_R(), HMWSoln::m_d2lnActCoeffMolaldT2_Scaled, HMWSoln::m_dlnActCoeffMolaldT_Scaled, Phase::m_kk, ThermoPhase::RT(), HMWSoln::s_update_d2lnMolalityActCoeff_dT2(), HMWSoln::s_update_dlnMolalityActCoeff_dT(), and Phase::temperature().

Referenced by HMWSoln::cp_mole().

satPressure()

doublereal satPressure ( doublereal  T )

virtual

Get the saturation pressure for a given temperature.

Note the limitations of this function. Stability considerations concerning multiphase equilibrium are ignored in this calculation. Therefore, the call is made directly to the SS of water underneath. The object is put back into its original state at the end of the call.

Todo:

This is probably not implemented correctly. The stability of the salt should be added into this calculation. The underlying water model may be called to get the stability of the pure water solution, if needed.

Parameters

T	Temperature (kelvin)

Reimplemented from ThermoPhase.

Definition at line 379 of file HMWSoln.cpp.

References HMWSoln::m_waterSS, VPStandardStateTP::pressure(), PDSS::satPressure(), PDSS::setState_TP(), and Phase::temperature().

setBinarySalt()

void setBinarySalt	(	const std::string &	sp1,
		const std::string &	sp2,
		size_t	nParams,
		double *	beta0,
		double *	beta1,
		double *	beta2,
		double *	Cphi,
		double	alpha1,
		double	alpha2
	)

Definition at line 405 of file HMWSoln.cpp.

setTheta()

void setTheta	(	const std::string &	sp1,
		const std::string &	sp2,
		size_t	nParams,
		double *	theta
	)

Definition at line 440 of file HMWSoln.cpp.

setPsi()

void setPsi	(	const std::string &	sp1,
		const std::string &	sp2,
		const std::string &	sp3,
		size_t	nParams,
		double *	psi
	)

Definition at line 463 of file HMWSoln.cpp.

setLambda()

void setLambda	(	const std::string &	sp1,
		const std::string &	sp2,
		size_t	nParams,
		double *	lambda
	)

Definition at line 499 of file HMWSoln.cpp.

setMunnn()

void setMunnn	(	const std::string &	sp,
		size_t	nParams,
		double *	munnn
	)

Definition at line 526 of file HMWSoln.cpp.

setZeta()

void setZeta	(	const std::string &	sp1,
		const std::string &	sp2,
		const std::string &	sp3,
		size_t	nParams,
		double *	psi
	)

Definition at line 544 of file HMWSoln.cpp.

setPitzerTempModel()

void setPitzerTempModel

(

const std::string &

model

)

Definition at line 587 of file HMWSoln.cpp.

setPitzerRefTemperature()

void setPitzerRefTemperature ( double  Tref )

inline

Definition at line 1439 of file HMWSoln.h.

setA_Debye()

void setA_Debye

(

double

A

)

Set the A_Debye parameter.

If a negative value is provided, enables calculation of A_Debye using the detailed water equation of state.

Definition at line 601 of file HMWSoln.cpp.

Referenced by HMWSoln::initThermoXML().

setMaxIonicStrength()

void setMaxIonicStrength ( double  Imax )

inline

Definition at line 1447 of file HMWSoln.h.

setCroppingCoefficients()

void setCroppingCoefficients	(	double	ln_gamma_k_min,
		double	ln_gamma_k_max,
		double	ln_gamma_o_min,
		double	ln_gamma_o_max
	)

Definition at line 611 of file HMWSoln.cpp.

initThermo()

void initThermo ( )

virtual

The following methods are used in the process of constructing the phase and setting its parameters from a specification in an input file. They are not normally used in application programs. To see how they are used, see importPhase().

Reimplemented from MolalityVPSSTP.

Definition at line 638 of file HMWSoln.cpp.

References AnyMap::hasKey(), HMWSoln::initLengths(), MolalityVPSSTP::initThermo(), HMWSoln::m_formPitzerTemp, and ThermoPhase::m_input.

getParameters()

void getParameters ( AnyMap &  phaseNode ) const

virtual

Store the parameters of a ThermoPhase object such that an identical one could be reconstructed using the newPhase(AnyMap&) function.

This does not include user-defined fields available in input().

Reimplemented from ThermoPhase.

Definition at line 814 of file HMWSoln.cpp.

References ThermoPhase::getParameters(), and HMWSoln::m_formPitzerTemp.

initThermoXML()

void initThermoXML ( XML_Node &  phaseNode, const std::string &  id  )

virtual

Initialize the phase parameters from an XML file.

This gets called from importPhase(). It processes the XML file after the species are set up. This is the main routine for reading in activity coefficient parameters.

Parameters

phaseNode	This object must be the phase node of a complete XML tree description of the phase, including all of the species data. In other words while "phase" must point to an XML phase object, it must have sibling nodes "speciesData" that describe the species in the phase.
id	ID of the phase. If nonnull, a check is done to see if phaseNode is pointing to the phase with the correct id.

Deprecated:

The XML input format is deprecated and will be removed in Cantera 3.0.

Reimplemented from ThermoPhase.

Definition at line 1044 of file HMWSoln.cpp.

References XML_Node::attrib(), Cantera::caseInsensitiveEquals(), XML_Node::child(), XML_Node::children(), Cantera::fpValueCheck(), Cantera::getFloat(), XML_Node::hasChild(), XML_Node::id(), HMWSoln::initLengths(), ThermoPhase::initThermoXML(), HMWSoln::readXMLBinarySalt(), HMWSoln::readXMLLambdaNeutral(), HMWSoln::readXMLPsi(), HMWSoln::readXMLTheta(), HMWSoln::readXMLZetaCation(), and HMWSoln::setA_Debye().

A_Debye_TP()

double A_Debye_TP ( double  temperature = -1.0, double  pressure = -1.0  ) const

virtual

Value of the Debye Huckel constant as a function of temperature and pressure.

       A_Debye = (F e B_Debye) / (8 Pi epsilon R T)

       Units = sqrt(kg/gmol)

Parameters

temperature	Temperature of the derivative calculation or -1 to indicate the current temperature
pressure	Pressure of the derivative calculation or -1 to indicate the current pressure

Definition at line 1143 of file HMWSoln.cpp.

Referenced by HMWSoln::getUnscaledMolalityActivityCoefficients(), and HMWSoln::s_updatePitzer_lnMolalityActCoeff().

dA_DebyedT_TP()

double dA_DebyedT_TP ( double  temperature = -1.0, double  pressure = -1.0  ) const

virtual

Value of the derivative of the Debye Huckel constant with respect to temperature as a function of temperature and pressure.

       A_Debye = (F e B_Debye) / (8 Pi epsilon R T)

       Units = sqrt(kg/gmol)

Parameters

temperature	Temperature of the derivative calculation or -1 to indicate the current temperature
pressure	Pressure of the derivative calculation or -1 to indicate the current pressure

Definition at line 1175 of file HMWSoln.cpp.

Referenced by HMWSoln::ADebye_L(), HMWSoln::s_NBS_CLM_dlnMolalityActCoeff_dT(), and HMWSoln::s_updatePitzer_dlnMolalityActCoeff_dT().

dA_DebyedP_TP()

double dA_DebyedP_TP ( double  temperature = -1.0, double  pressure = -1.0  ) const

virtual

Value of the derivative of the Debye Huckel constant with respect to pressure, as a function of temperature and pressure.

 A_Debye = (F e B_Debye) / (8 Pi epsilon R T)

Units = sqrt(kg/gmol)

Parameters

temperature	Temperature of the derivative calculation or -1 to indicate the current temperature
pressure	Pressure of the derivative calculation or -1 to indicate the current pressure

Definition at line 1199 of file HMWSoln.cpp.

Referenced by HMWSoln::ADebye_V(), HMWSoln::s_NBS_CLM_dlnMolalityActCoeff_dP(), and HMWSoln::s_updatePitzer_dlnMolalityActCoeff_dP().

ADebye_L()

double ADebye_L	(	double	temperature = -1.0,
		double	pressure = -1.0
	)		const

Return Pitzer's definition of A_L.

This is basically the derivative of the A_phi multiplied by 4 R T**2

       A_Debye = (F e B_Debye) / (8 Pi epsilon R T)
       dA_phidT = d(A_Debye)/dT / 3.0
       A_L = dA_phidT * (4 * R * T * T)

       Units = sqrt(kg/gmol) (RT)

Parameters

temperature	Temperature of the derivative calculation or -1 to indicate the current temperature
pressure	Pressure of the derivative calculation or -1 to indicate the current pressure

Definition at line 1231 of file HMWSoln.cpp.

References HMWSoln::dA_DebyedT_TP().

ADebye_J()

double ADebye_J	(	double	temperature = -1.0,
		double	pressure = -1.0
	)		const

Return Pitzer's definition of A_J.

This is basically the temperature derivative of A_L, and the second derivative of A_phi

       A_Debye = (F e B_Debye) / (8 Pi epsilon R T)
       dA_phidT = d(A_Debye)/dT / 3.0
       A_J = 2 A_L/T + 4 * R * T * T * d2(A_phi)/dT2

       Units = sqrt(kg/gmol) (R)

Parameters

temperature	Temperature of the derivative calculation or -1 to indicate the current temperature
pressure	Pressure of the derivative calculation or -1 to indicate the current pressure

Definition at line 1253 of file HMWSoln.cpp.

ADebye_V()

double ADebye_V	(	double	temperature = -1.0,
		double	pressure = -1.0
	)		const

Return Pitzer's definition of A_V.

This is the derivative wrt pressure of A_phi multiplied by - 4 R T

       A_Debye = (F e B_Debye) / (8 Pi epsilon R T)
       dA_phidT = d(A_Debye)/dP / 3.0
       A_V = - dA_phidP * (4 * R * T)

       Units = sqrt(kg/gmol) (RT) / Pascal

Parameters

temperature	Temperature of the derivative calculation or -1 to indicate the current temperature
pressure	Pressure of the derivative calculation or -1 to indicate the current pressure

Definition at line 1242 of file HMWSoln.cpp.

References HMWSoln::dA_DebyedP_TP().

d2A_DebyedT2_TP()

double d2A_DebyedT2_TP ( double  temperature = -1.0, double  pressure = -1.0  ) const

virtual

Value of the 2nd derivative of the Debye Huckel constant with respect to temperature as a function of temperature and pressure.

       A_Debye = (F e B_Debye) / (8 Pi epsilon R T)

       Units = sqrt(kg/gmol)

Parameters

temperature	Temperature of the derivative calculation or -1 to indicate the current temperature
pressure	Pressure of the derivative calculation or -1 to indicate the current pressure

Definition at line 1265 of file HMWSoln.cpp.

Referenced by HMWSoln::s_NBS_CLM_d2lnMolalityActCoeff_dT2(), and HMWSoln::s_updatePitzer_d2lnMolalityActCoeff_dT2().

printCoeffs()

void printCoeffs

(

)

const

Print out all of the input Pitzer coefficients.

Definition at line 4349 of file HMWSoln.cpp.

References MolalityVPSSTP::calcMolalities(), Phase::charge(), Phase::getMoleFractions(), HMWSoln::m_Beta0MX_ij, HMWSoln::m_Beta1MX_ij, HMWSoln::m_Beta2MX_ij, HMWSoln::m_CounterIJ, HMWSoln::m_CphiMX_ij, Phase::m_kk, HMWSoln::m_molalitiesCropped, HMWSoln::m_Psi_ijk, HMWSoln::m_Theta_ij, HMWSoln::m_tmpV, HMWSoln::s_updatePitzer_CoeffWRTemp(), Phase::speciesName(), Cantera::writelog(), and Cantera::writelogf().

getUnscaledMolalityActivityCoefficients()

void getUnscaledMolalityActivityCoefficients ( doublereal *  acMolality ) const

virtual

Get the array of unscaled non-dimensional molality based activity coefficients at the current solution temperature, pressure, and solution concentration.

See Denbigh p. 278 for a thorough discussion. This class must be overridden in classes which derive from MolalityVPSSTP. This function takes over from the molar-based activity coefficient calculation, getActivityCoefficients(), in derived classes.

Parameters

acMolality

Output vector containing the molality based activity coefficients. length: m_kk.

Reimplemented from MolalityVPSSTP.

Definition at line 259 of file HMWSoln.cpp.

References HMWSoln::A_Debye_TP(), Phase::m_kk, HMWSoln::m_lnActCoeffMolal_Unscaled, and VPStandardStateTP::updateStandardStateThermo().

s_updateScaling_pHScaling()

void s_updateScaling_pHScaling ( ) const

private

Apply the current phScale to a set of activity Coefficients.

See the Eq3/6 Manual for a thorough discussion.

Definition at line 4407 of file HMWSoln.cpp.

References AssertTrace, Phase::charge(), MolalityVPSSTP::m_indexCLM, Phase::m_kk, HMWSoln::m_lnActCoeffMolal_Scaled, HMWSoln::m_lnActCoeffMolal_Unscaled, MolalityVPSSTP::m_pHScalingType, Cantera::PHSCALE_NBS, Cantera::PHSCALE_PITZER, and HMWSoln::s_NBS_CLM_lnMolalityActCoeff().

s_updateScaling_pHScaling_dT()

void s_updateScaling_pHScaling_dT ( ) const

private

Apply the current phScale to a set of derivatives of the activity Coefficients wrt temperature.

See the Eq3/6 Manual for a thorough discussion of the need

Definition at line 4422 of file HMWSoln.cpp.

References AssertTrace, Phase::charge(), HMWSoln::m_dlnActCoeffMolaldT_Scaled, HMWSoln::m_dlnActCoeffMolaldT_Unscaled, MolalityVPSSTP::m_indexCLM, Phase::m_kk, MolalityVPSSTP::m_pHScalingType, Cantera::PHSCALE_NBS, Cantera::PHSCALE_PITZER, and HMWSoln::s_NBS_CLM_dlnMolalityActCoeff_dT().

Referenced by HMWSoln::s_update_dlnMolalityActCoeff_dT().

s_updateScaling_pHScaling_dT2()

void s_updateScaling_pHScaling_dT2 ( ) const

private

Apply the current phScale to a set of 2nd derivatives of the activity Coefficients wrt temperature.

See the Eq3/6 Manual for a thorough discussion of the need

Definition at line 4437 of file HMWSoln.cpp.

References AssertTrace, Phase::charge(), HMWSoln::m_d2lnActCoeffMolaldT2_Scaled, HMWSoln::m_d2lnActCoeffMolaldT2_Unscaled, MolalityVPSSTP::m_indexCLM, Phase::m_kk, MolalityVPSSTP::m_pHScalingType, Cantera::PHSCALE_NBS, Cantera::PHSCALE_PITZER, and HMWSoln::s_NBS_CLM_d2lnMolalityActCoeff_dT2().

Referenced by HMWSoln::s_update_d2lnMolalityActCoeff_dT2().

s_updateScaling_pHScaling_dP()

void s_updateScaling_pHScaling_dP ( ) const

private

Apply the current phScale to a set of derivatives of the activity Coefficients wrt pressure.

See the Eq3/6 Manual for a thorough discussion of the need

Definition at line 4452 of file HMWSoln.cpp.

References AssertTrace, Phase::charge(), HMWSoln::m_dlnActCoeffMolaldP_Scaled, HMWSoln::m_dlnActCoeffMolaldP_Unscaled, MolalityVPSSTP::m_indexCLM, Phase::m_kk, MolalityVPSSTP::m_pHScalingType, Cantera::PHSCALE_NBS, Cantera::PHSCALE_PITZER, and HMWSoln::s_NBS_CLM_dlnMolalityActCoeff_dP().

Referenced by HMWSoln::s_update_dlnMolalityActCoeff_dP().

s_NBS_CLM_lnMolalityActCoeff()

doublereal s_NBS_CLM_lnMolalityActCoeff ( ) const

private

Calculate the Chlorine activity coefficient on the NBS scale.

We assume here that the m_IionicMolality variable is up to date.

Definition at line 4467 of file HMWSoln.cpp.

References HMWSoln::m_IionicMolality.

Referenced by HMWSoln::applyphScale(), and HMWSoln::s_updateScaling_pHScaling().

s_NBS_CLM_dlnMolalityActCoeff_dT()

doublereal s_NBS_CLM_dlnMolalityActCoeff_dT ( ) const

private

Calculate the temperature derivative of the Chlorine activity coefficient on the NBS scale.

We assume here that the m_IionicMolality variable is up to date.

Definition at line 4475 of file HMWSoln.cpp.

References HMWSoln::dA_DebyedT_TP(), and HMWSoln::m_IionicMolality.

Referenced by HMWSoln::s_updateScaling_pHScaling_dT().

s_NBS_CLM_d2lnMolalityActCoeff_dT2()

doublereal s_NBS_CLM_d2lnMolalityActCoeff_dT2 ( ) const

private

Calculate the second temperature derivative of the Chlorine activity coefficient on the NBS scale.

We assume here that the m_IionicMolality variable is up to date.

Definition at line 4482 of file HMWSoln.cpp.

References HMWSoln::d2A_DebyedT2_TP(), and HMWSoln::m_IionicMolality.

Referenced by HMWSoln::s_updateScaling_pHScaling_dT2().

s_NBS_CLM_dlnMolalityActCoeff_dP()

doublereal s_NBS_CLM_dlnMolalityActCoeff_dP ( ) const

private

Calculate the pressure derivative of the Chlorine activity coefficient.

We assume here that the m_IionicMolality variable is up to date.

Definition at line 4489 of file HMWSoln.cpp.

References HMWSoln::dA_DebyedP_TP(), and HMWSoln::m_IionicMolality.

Referenced by HMWSoln::s_updateScaling_pHScaling_dP().

initLengths()

void initLengths ( )

private

Initialize all of the species-dependent lengths in the object.

Definition at line 1293 of file HMWSoln.cpp.

References HMWSoln::m_formPitzerTemp, Phase::m_kk, HMWSoln::m_molalitiesCropped, and HMWSoln::m_tmpV.

Referenced by HMWSoln::initThermo(), and HMWSoln::initThermoXML().

applyphScale()

void applyphScale ( doublereal *  acMolality ) const

privatevirtual

Apply the current phScale to a set of activity Coefficients or activities.

See the Eq3/6 Manual for a thorough discussion.

Parameters

acMolality

input/Output vector containing the molality based activity coefficients. length: m_kk.

Reimplemented from MolalityVPSSTP.

Definition at line 4393 of file HMWSoln.cpp.

References AssertTrace, Phase::charge(), MolalityVPSSTP::m_indexCLM, Phase::m_kk, HMWSoln::m_lnActCoeffMolal_Unscaled, MolalityVPSSTP::m_pHScalingType, Cantera::PHSCALE_NBS, Cantera::PHSCALE_PITZER, and HMWSoln::s_NBS_CLM_lnMolalityActCoeff().

s_update_lnMolalityActCoeff()

void s_update_lnMolalityActCoeff ( ) const

private

Definition at line 1406 of file HMWSoln.cpp.

s_update_dlnMolalityActCoeff_dT()

void s_update_dlnMolalityActCoeff_dT ( ) const

private

This function calculates the temperature derivative of the natural logarithm of the molality activity coefficients.

This function does all of the direct work. The solvent activity coefficient is on the molality scale. It's derivative is too.

Definition at line 2697 of file HMWSoln.cpp.

References HMWSoln::CROP_speciesCropped_, ValueCache::getId(), ValueCache::getScalar(), Phase::m_cache, HMWSoln::m_dlnActCoeffMolaldT_Unscaled, Phase::m_kk, VPStandardStateTP::pressure(), HMWSoln::s_updatePitzer_dlnMolalityActCoeff_dT(), HMWSoln::s_updateScaling_pHScaling_dT(), Phase::stateMFNumber(), Phase::temperature(), and CachedValue< T >::validate().

Referenced by HMWSoln::getPartialMolarCp(), HMWSoln::getPartialMolarEnthalpies(), and HMWSoln::getPartialMolarEntropies().

s_update_d2lnMolalityActCoeff_dT2()

void s_update_d2lnMolalityActCoeff_dT2 ( ) const

private

This function calculates the temperature second derivative of the natural logarithm of the molality activity coefficients.

Definition at line 3216 of file HMWSoln.cpp.

References HMWSoln::CROP_speciesCropped_, ValueCache::getId(), ValueCache::getScalar(), Phase::m_cache, HMWSoln::m_d2lnActCoeffMolaldT2_Unscaled, Phase::m_kk, VPStandardStateTP::pressure(), HMWSoln::s_updatePitzer_d2lnMolalityActCoeff_dT2(), HMWSoln::s_updateScaling_pHScaling_dT2(), Phase::stateMFNumber(), Phase::temperature(), and CachedValue< T >::validate().

Referenced by HMWSoln::getPartialMolarCp().

s_update_dlnMolalityActCoeff_dP()

void s_update_dlnMolalityActCoeff_dP ( ) const

private

This function calculates the pressure derivative of the natural logarithm of the molality activity coefficients.

Assumes that the activity coefficients are current.

Definition at line 3727 of file HMWSoln.cpp.

References HMWSoln::CROP_speciesCropped_, ValueCache::getId(), ValueCache::getScalar(), Phase::m_cache, HMWSoln::m_dlnActCoeffMolaldP_Unscaled, Phase::m_kk, VPStandardStateTP::pressure(), HMWSoln::s_updatePitzer_dlnMolalityActCoeff_dP(), HMWSoln::s_updateScaling_pHScaling_dP(), Phase::stateMFNumber(), Phase::temperature(), and CachedValue< T >::validate().

Referenced by HMWSoln::getPartialMolarVolumes().

s_updateIMS_lnMolalityActCoeff()

void s_updateIMS_lnMolalityActCoeff ( ) const

private

This function will be called to update the internally stored natural logarithm of the molality activity coefficients.

Definition at line 4306 of file HMWSoln.cpp.

References MolalityVPSSTP::calcMolalities(), HMWSoln::IMS_cCut_, HMWSoln::IMS_lnActCoeffMolal_, HMWSoln::IMS_X_o_cutoff_, Phase::m_kk, MolalityVPSSTP::m_xmolSolventMIN, and Phase::moleFraction().

s_updatePitzer_lnMolalityActCoeff()

void s_updatePitzer_lnMolalityActCoeff ( ) const

private

Calculate the Pitzer portion of the activity coefficients.

This is the main routine in the whole module. It calculates the molality based activity coefficients for the solutes, and the activity of water.

Definition at line 2194 of file HMWSoln.cpp.

References HMWSoln::A_Debye_TP(), HMWSoln::calc_lambdas(), HMWSoln::calc_thetas(), Phase::charge(), HMWSoln::counterIJ_setup(), HMWSoln::m_Alpha2MX_ij, HMWSoln::m_Beta0MX_ij, HMWSoln::m_Beta1MX_ij, HMWSoln::m_Beta2MX_ij, HMWSoln::m_BMX_IJ, HMWSoln::m_BphiMX_IJ, HMWSoln::m_BprimeMX_IJ, HMWSoln::m_CMX_IJ, HMWSoln::m_CounterIJ, HMWSoln::m_CphiMX_ij, HMWSoln::m_g2func_IJ, HMWSoln::m_gamma_tmp, HMWSoln::m_gfunc_IJ, HMWSoln::m_h2func_IJ, HMWSoln::m_hfunc_IJ, HMWSoln::m_IionicMolality, Phase::m_kk, MolalityVPSSTP::m_molalities, HMWSoln::m_molalitiesCropped, HMWSoln::m_Phi_IJ, HMWSoln::m_PhiPhi_IJ, HMWSoln::m_Phiprime_IJ, and HMWSoln::m_Theta_ij.

s_updatePitzer_dlnMolalityActCoeff_dT()

void s_updatePitzer_dlnMolalityActCoeff_dT ( ) const

private

Calculates the temperature derivative of the natural logarithm of the molality activity coefficients.

Public function makes sure that all dependent data is up to date, before calling a private function

Definition at line 2725 of file HMWSoln.cpp.

References HMWSoln::calc_lambdas(), HMWSoln::calc_thetas(), Phase::charge(), HMWSoln::counterIJ_setup(), HMWSoln::dA_DebyedT_TP(), HMWSoln::m_Alpha2MX_ij, HMWSoln::m_Beta0MX_ij_L, HMWSoln::m_Beta1MX_ij_L, HMWSoln::m_Beta2MX_ij_L, HMWSoln::m_BMX_IJ_L, HMWSoln::m_BphiMX_IJ_L, HMWSoln::m_BprimeMX_IJ_L, HMWSoln::m_CMX_IJ_L, HMWSoln::m_CounterIJ, HMWSoln::m_CphiMX_ij_L, HMWSoln::m_dlnActCoeffMolaldT_Unscaled, HMWSoln::m_g2func_IJ, HMWSoln::m_gamma_tmp, HMWSoln::m_gfunc_IJ, HMWSoln::m_h2func_IJ, HMWSoln::m_hfunc_IJ, HMWSoln::m_IionicMolality, Phase::m_kk, HMWSoln::m_Lambda_nj_L, HMWSoln::m_molalitiesCropped, HMWSoln::m_Mu_nnn_L, HMWSoln::m_Phi_IJ_L, HMWSoln::m_PhiPhi_IJ_L, HMWSoln::m_Phiprime_IJ, HMWSoln::m_Psi_ijk_L, HMWSoln::m_Theta_ij_L, and MolalityVPSSTP::m_weightSolvent.

Referenced by HMWSoln::s_update_dlnMolalityActCoeff_dT().

s_updatePitzer_d2lnMolalityActCoeff_dT2()

void s_updatePitzer_d2lnMolalityActCoeff_dT2 ( ) const

private

This function calculates the temperature second derivative of the natural logarithm of the molality activity coefficients.

It is assumed that the Pitzer activity coefficient and first derivative routine are called immediately preceding the call to this routine.

Definition at line 3244 of file HMWSoln.cpp.

References HMWSoln::calc_lambdas(), HMWSoln::calc_thetas(), Phase::charge(), HMWSoln::counterIJ_setup(), HMWSoln::d2A_DebyedT2_TP(), HMWSoln::m_Alpha2MX_ij, HMWSoln::m_Beta0MX_ij_LL, HMWSoln::m_Beta1MX_ij_LL, HMWSoln::m_Beta2MX_ij_LL, HMWSoln::m_BMX_IJ_LL, HMWSoln::m_BphiMX_IJ_LL, HMWSoln::m_BprimeMX_IJ_LL, HMWSoln::m_CMX_IJ_LL, HMWSoln::m_CounterIJ, HMWSoln::m_CphiMX_ij_LL, HMWSoln::m_d2lnActCoeffMolaldT2_Unscaled, HMWSoln::m_g2func_IJ, HMWSoln::m_gfunc_IJ, HMWSoln::m_h2func_IJ, HMWSoln::m_hfunc_IJ, HMWSoln::m_IionicMolality, Phase::m_kk, HMWSoln::m_Lambda_nj_LL, HMWSoln::m_molalitiesCropped, HMWSoln::m_Mu_nnn_LL, HMWSoln::m_Phi_IJ_LL, HMWSoln::m_PhiPhi_IJ_LL, HMWSoln::m_Phiprime_IJ, HMWSoln::m_Psi_ijk_LL, HMWSoln::m_Theta_ij_LL, and MolalityVPSSTP::m_weightSolvent.

Referenced by HMWSoln::s_update_d2lnMolalityActCoeff_dT2().

s_updatePitzer_dlnMolalityActCoeff_dP()

void s_updatePitzer_dlnMolalityActCoeff_dP ( ) const

private

Calculates the Pressure derivative of the natural logarithm of the molality activity coefficients.

It is assumed that the Pitzer activity coefficient and first derivative routine are called immediately preceding the calling of this routine.

Definition at line 3751 of file HMWSoln.cpp.

References HMWSoln::calc_lambdas(), HMWSoln::calc_thetas(), Phase::charge(), HMWSoln::counterIJ_setup(), HMWSoln::dA_DebyedP_TP(), HMWSoln::m_Alpha2MX_ij, HMWSoln::m_Beta0MX_ij_P, HMWSoln::m_Beta1MX_ij_P, HMWSoln::m_Beta2MX_ij_P, HMWSoln::m_BMX_IJ_P, HMWSoln::m_BphiMX_IJ_P, HMWSoln::m_BprimeMX_IJ_P, HMWSoln::m_CMX_IJ_P, HMWSoln::m_CounterIJ, HMWSoln::m_CphiMX_ij_P, HMWSoln::m_dlnActCoeffMolaldP_Unscaled, HMWSoln::m_g2func_IJ, HMWSoln::m_gfunc_IJ, HMWSoln::m_h2func_IJ, HMWSoln::m_hfunc_IJ, HMWSoln::m_IionicMolality, Phase::m_kk, HMWSoln::m_Lambda_nj_P, HMWSoln::m_molalitiesCropped, HMWSoln::m_Mu_nnn_P, HMWSoln::m_Phi_IJ_P, HMWSoln::m_PhiPhi_IJ_P, HMWSoln::m_Phiprime_IJ, HMWSoln::m_Psi_ijk_P, HMWSoln::m_Theta_ij_P, MolalityVPSSTP::m_weightSolvent, VPStandardStateTP::pressure(), and Phase::temperature().

Referenced by HMWSoln::s_update_dlnMolalityActCoeff_dP().

s_updatePitzer_CoeffWRTemp()

void s_updatePitzer_CoeffWRTemp ( int  doDerivs = 2 ) const

private

Calculates the Pitzer coefficients' dependence on the temperature.

It will also calculate the temperature derivatives of the coefficients, as they are important in the calculation of the latent heats and the heat capacities of the mixtures.

Parameters

doDerivs

If >= 1, then the routine will calculate the first derivative. If >= 2, the routine will calculate the first and second temperature derivative. default = 2

Definition at line 1948 of file HMWSoln.cpp.

Referenced by HMWSoln::printCoeffs().

calc_lambdas()

void calc_lambdas ( double  is ) const

private

Calculate the lambda interactions.

Calculate E-lambda terms for charge combinations of like sign, using method of Pitzer (1975). This implementation is based on Bethke, Appendix 2.

Parameters

is	Ionic strength

Definition at line 4236 of file HMWSoln.cpp.

References HMWSoln::elambda, and HMWSoln::elambda1.

Referenced by HMWSoln::s_updatePitzer_d2lnMolalityActCoeff_dT2(), HMWSoln::s_updatePitzer_dlnMolalityActCoeff_dP(), HMWSoln::s_updatePitzer_dlnMolalityActCoeff_dT(), and HMWSoln::s_updatePitzer_lnMolalityActCoeff().

calc_thetas()

void calc_thetas ( int  z1, int  z2, double *  etheta, double *  etheta_prime  ) const

private

Calculate etheta and etheta_prime.

This interaction accounts for the mixing effects of like-signed ions with different charges. This interaction will be nonzero for species with the same charge. this routine is not to be called for neutral species; it core dumps or error exits.

MEC implementation routine.

Parameters

z1	charge of the first molecule
z2	charge of the second molecule
etheta	return pointer containing etheta
etheta_prime	Return pointer containing etheta_prime.

This routine uses the internal variables, elambda[] and elambda1[].

Definition at line 4280 of file HMWSoln.cpp.

References AssertThrowMsg, HMWSoln::elambda, and HMWSoln::elambda1.

Referenced by HMWSoln::s_updatePitzer_d2lnMolalityActCoeff_dT2(), HMWSoln::s_updatePitzer_dlnMolalityActCoeff_dP(), HMWSoln::s_updatePitzer_dlnMolalityActCoeff_dT(), and HMWSoln::s_updatePitzer_lnMolalityActCoeff().

counterIJ_setup()

void counterIJ_setup ( ) const

private

Set up a counter variable for keeping track of symmetric binary interactions amongst the solute species.

The purpose of this is to squeeze the ij parameters into a compressed single counter.

n = m_kk*i + j m_Counter[n] = counter

Definition at line 1611 of file HMWSoln.cpp.

References HMWSoln::m_CounterIJ, and Phase::m_kk.

Referenced by HMWSoln::s_updatePitzer_d2lnMolalityActCoeff_dT2(), HMWSoln::s_updatePitzer_dlnMolalityActCoeff_dP(), HMWSoln::s_updatePitzer_dlnMolalityActCoeff_dT(), and HMWSoln::s_updatePitzer_lnMolalityActCoeff().

calcMolalitiesCropped()

void calcMolalitiesCropped ( ) const

private

Calculate the cropped molalities.

This is an internal routine that calculates values of m_molalitiesCropped from m_molalities

Definition at line 1470 of file HMWSoln.cpp.

References Phase::charge(), Phase::getMoleFractions(), HMWSoln::m_gamma_tmp, Phase::m_kk, HMWSoln::m_maxIionicStrength, MolalityVPSSTP::m_Mnaught, MolalityVPSSTP::m_molalities, HMWSoln::m_molalitiesAreCropped, HMWSoln::m_molalitiesCropped, HMWSoln::MC_X_o_cutoff_, and Cantera::npos.

readXMLBinarySalt()

void readXMLBinarySalt ( XML_Node &  BinSalt )

private

Process an XML node called "binarySaltParameters".

This node contains all of the parameters necessary to describe the Pitzer model for that particular binary salt. This function reads the XML file and writes the coefficients it finds to an internal data structures.

Parameters

BinSalt

reference to the XML_Node named binarySaltParameters containing the anion - cation interaction

Definition at line 1634 of file HMWSoln.cpp.

References XML_Node::attrib(), Cantera::getFloatArray(), HMWSoln::m_formPitzerTemp, XML_Node::name(), Cantera::npos, and Phase::speciesIndex().

Referenced by HMWSoln::initThermoXML().

readXMLTheta()

void readXMLTheta ( XML_Node &  BinSalt )

private

Process an XML node called "thetaAnion" or "thetaCation".

This node contains all of the parameters necessary to describe the binary interactions between two anions or two cations.

Parameters

BinSalt

reference to the XML_Node named thetaAnion containing the anion - anion interaction

Definition at line 1680 of file HMWSoln.cpp.

References XML_Node::attrib(), Cantera::getFloatArray(), HMWSoln::m_formPitzerTemp, XML_Node::name(), Cantera::npos, and Phase::speciesIndex().

Referenced by HMWSoln::initThermoXML().

readXMLPsi()

void readXMLPsi ( XML_Node &  BinSalt )

private

Process an XML node called "psiCommonAnion" or "psiCommonCation".

This node contains all of the parameters necessary to describe the ternary interactions between one anion and two cations or two anions and one cation.

Parameters

BinSalt

reference to the XML_Node named psiCommonAnion containing the anion - cation1 - cation2 interaction

Definition at line 1720 of file HMWSoln.cpp.

References XML_Node::attrib(), Cantera::getFloatArray(), HMWSoln::m_formPitzerTemp, XML_Node::name(), Cantera::npos, and Phase::speciesIndex().

Referenced by HMWSoln::initThermoXML().

readXMLLambdaNeutral()

void readXMLLambdaNeutral ( XML_Node &  BinSalt )

private

Process an XML node called "lambdaNeutral".

This node contains all of the parameters necessary to describe the binary interactions between one neutral species and any other species (neutral or otherwise) in the mechanism.

Parameters

BinSalt

reference to the XML_Node named lambdaNeutral containing multiple Neutral - species interactions

Definition at line 1769 of file HMWSoln.cpp.

References XML_Node::attrib(), Cantera::getFloatArray(), HMWSoln::m_formPitzerTemp, XML_Node::name(), Cantera::npos, and Phase::speciesIndex().

Referenced by HMWSoln::initThermoXML().

readXMLMunnnNeutral()

void readXMLMunnnNeutral ( XML_Node &  BinSalt )

private

Process an XML node called "MunnnNeutral".

This node contains all of the parameters necessary to describe the self-ternary interactions for one neutral species.

Parameters

BinSalt

reference to the XML_Node named Munnn containing the self-ternary interaction

Definition at line 1799 of file HMWSoln.cpp.

References XML_Node::attrib(), Cantera::getFloatArray(), HMWSoln::m_formPitzerTemp, XML_Node::name(), Cantera::npos, and Phase::speciesIndex().

readXMLZetaCation()

void readXMLZetaCation ( const XML_Node &  BinSalt )

private

Process an XML node called "zetaCation".

This node contains all of the parameters necessary to describe the ternary interactions between one neutral, one cation, and one anion.

Parameters

BinSalt

reference to the XML_Node named psiCommonCation containing the neutral - cation - anion interaction

Definition at line 1824 of file HMWSoln.cpp.

References XML_Node::attrib(), Cantera::getFloatArray(), HMWSoln::m_formPitzerTemp, XML_Node::name(), Cantera::npos, and Phase::speciesIndex().

Referenced by HMWSoln::initThermoXML().

calcIMSCutoffParams_()

void calcIMSCutoffParams_ ( )

private

Precalculate the IMS Cutoff parameters for typeCutoff = 2.

Definition at line 1859 of file HMWSoln.cpp.

References HMWSoln::IMS_cCut_, HMWSoln::IMS_slopegCut_, and HMWSoln::IMS_X_o_cutoff_.

calcMCCutoffParams_()

void calcMCCutoffParams_ ( )

private

Calculate molality cut-off parameters.

Definition at line 1912 of file HMWSoln.cpp.

References HMWSoln::MC_X_o_cutoff_.

Member Data Documentation

m_formPitzerTemp

int m_formPitzerTemp

private

This is the form of the temperature dependence of Pitzer parameterization used in the model.

  PITZER_TEMP_CONSTANT   0
  PITZER_TEMP_LINEAR     1
  PITZER_TEMP_COMPLEX1   2

Definition at line 1671 of file HMWSoln.h.

Referenced by HMWSoln::getParameters(), HMWSoln::initLengths(), HMWSoln::initThermo(), HMWSoln::readXMLBinarySalt(), HMWSoln::readXMLLambdaNeutral(), HMWSoln::readXMLMunnnNeutral(), HMWSoln::readXMLPsi(), HMWSoln::readXMLTheta(), and HMWSoln::readXMLZetaCation().

m_IionicMolality

double m_IionicMolality

mutableprivate

Current value of the ionic strength on the molality scale Associated Salts, if present in the mechanism, don't contribute to the value of the ionic strength in this version of the Ionic strength.

Definition at line 1676 of file HMWSoln.h.

Referenced by HMWSoln::s_NBS_CLM_d2lnMolalityActCoeff_dT2(), HMWSoln::s_NBS_CLM_dlnMolalityActCoeff_dP(), HMWSoln::s_NBS_CLM_dlnMolalityActCoeff_dT(), HMWSoln::s_NBS_CLM_lnMolalityActCoeff(), HMWSoln::s_updatePitzer_d2lnMolalityActCoeff_dT2(), HMWSoln::s_updatePitzer_dlnMolalityActCoeff_dP(), HMWSoln::s_updatePitzer_dlnMolalityActCoeff_dT(), and HMWSoln::s_updatePitzer_lnMolalityActCoeff().

m_maxIionicStrength

double m_maxIionicStrength

private

Maximum value of the ionic strength allowed in the calculation of the activity coefficients.

Definition at line 1680 of file HMWSoln.h.

Referenced by HMWSoln::calcMolalitiesCropped().

m_TempPitzerRef

double m_TempPitzerRef

private

Reference Temperature for the Pitzer formulations.

Definition at line 1683 of file HMWSoln.h.

m_form_A_Debye

int m_form_A_Debye

Form of the constant outside the Debye-Huckel term called A.

It's normally a function of temperature and pressure. However, it can be set from the input file in order to aid in numerical comparisons. Acceptable forms:

  A_DEBYE_CONST  0
  A_DEBYE_WATER  1

The A_DEBYE_WATER form may be used for water solvents with needs to cover varying temperatures and pressures. Note, the dielectric constant of water is a relatively strong function of T, and its variability must be accounted for,

Definition at line 1700 of file HMWSoln.h.

m_A_Debye

double m_A_Debye

mutableprivate

A_Debye: this expression appears on the top of the ln actCoeff term in the general Debye-Huckel expression It depends on temperature.

And, therefore, most be recalculated whenever T or P changes. This variable is a local copy of the calculation.

A_Debye = (F e B_Debye) / (8 Pi epsilon R T)

 where B_Debye = F / sqrt(epsilon R T/2)
                 (dw/1000)^(1/2)

A_Debye = (1/ (8 Pi)) (2 Na * dw/1000)^(1/2) (e * e / (epsilon * kb * T))^(3/2)

Units = sqrt(kg/gmol)

Nominal value = 1.172576 sqrt(kg/gmol) based on: epsilon/epsilon_0 = 78.54 (water at 25C) epsilon_0 = 8.854187817E-12 C2 N-1 m-2 e = 1.60217653 E-19 C F = 9.6485309E7 C kmol-1 R = 8.314472E3 kg m2 s-2 kmol-1 K-1 T = 298.15 K B_Debye = 3.28640E9 sqrt(kg/gmol)/m dw = C_0 * M_0 (density of water) (kg/m3) = 1.0E3 at 25C

Definition at line 1732 of file HMWSoln.h.

m_waterSS

PDSS* m_waterSS

private

Water standard state calculator.

derived from the equation of state for water.

Definition at line 1738 of file HMWSoln.h.

Referenced by HMWSoln::satPressure().

m_waterProps

std::unique_ptr<WaterProps> m_waterProps

private

Pointer to the water property calculator.

Definition at line 1741 of file HMWSoln.h.

m_tmpV

vector_fp m_tmpV

mutableprivate

vector of size m_kk, used as a temporary holding area.

Definition at line 1744 of file HMWSoln.h.

Referenced by HMWSoln::calcDensity(), HMWSoln::cp_mole(), HMWSoln::enthalpy_mole(), HMWSoln::entropy_mole(), HMWSoln::gibbs_mole(), HMWSoln::initLengths(), HMWSoln::printCoeffs(), HMWSoln::relative_enthalpy(), HMWSoln::relative_molal_enthalpy(), and HMWSoln::standardConcentration().

m_Beta0MX_ij

vector_fp m_Beta0MX_ij

mutableprivate

Array of 2D data used in the Pitzer/HMW formulation.

Beta0_ij[i][j] is the value of the Beta0 coefficient for the ij salt. It will be nonzero iff i and j are both charged and have opposite sign. The array is also symmetric. counterIJ where counterIJ = m_counterIJ[i][j] is used to access this array.

Definition at line 1753 of file HMWSoln.h.

Referenced by HMWSoln::printCoeffs(), and HMWSoln::s_updatePitzer_lnMolalityActCoeff().

m_Beta0MX_ij_L

vector_fp m_Beta0MX_ij_L

mutableprivate

Derivative of Beta0_ij[i][j] wrt T. Vector index is counterIJ.

Definition at line 1756 of file HMWSoln.h.

Referenced by HMWSoln::s_updatePitzer_dlnMolalityActCoeff_dT().

m_Beta0MX_ij_LL

vector_fp m_Beta0MX_ij_LL

mutableprivate

Derivative of Beta0_ij[i][j] wrt TT. Vector index is counterIJ.

Definition at line 1759 of file HMWSoln.h.

Referenced by HMWSoln::s_updatePitzer_d2lnMolalityActCoeff_dT2().

m_Beta0MX_ij_P

vector_fp m_Beta0MX_ij_P

mutableprivate

Derivative of Beta0_ij[i][j] wrt P. Vector index is counterIJ.

Definition at line 1762 of file HMWSoln.h.

Referenced by HMWSoln::s_updatePitzer_dlnMolalityActCoeff_dP().

m_Beta0MX_ij_coeff

Array2D m_Beta0MX_ij_coeff

mutableprivate

Array of coefficients for Beta0, a variable in Pitzer's papers.

Column index is counterIJ. m_Beta0MX_ij_coeff.ptrColumn(counterIJ) is a double* containing the vector of coefficients for the counterIJ interaction.

Definition at line 1770 of file HMWSoln.h.

m_Beta1MX_ij

vector_fp m_Beta1MX_ij

mutableprivate

Array of 2D data used in the Pitzer/HMW formulation.

Beta1_ij[i][j] is the value of the Beta1 coefficient for the ij salt. It will be nonzero iff i and j are both charged and have opposite sign. The array is also symmetric. counterIJ where counterIJ = m_counterIJ[i][j] is used to access this array.

Definition at line 1777 of file HMWSoln.h.

Referenced by HMWSoln::printCoeffs(), and HMWSoln::s_updatePitzer_lnMolalityActCoeff().

m_Beta1MX_ij_L

vector_fp m_Beta1MX_ij_L

mutableprivate

Derivative of Beta1_ij[i][j] wrt T. Vector index is counterIJ.

Definition at line 1780 of file HMWSoln.h.

Referenced by HMWSoln::s_updatePitzer_dlnMolalityActCoeff_dT().

m_Beta1MX_ij_LL

vector_fp m_Beta1MX_ij_LL

mutableprivate

Derivative of Beta1_ij[i][j] wrt TT. Vector index is counterIJ.

Definition at line 1783 of file HMWSoln.h.

Referenced by HMWSoln::s_updatePitzer_d2lnMolalityActCoeff_dT2().

m_Beta1MX_ij_P

vector_fp m_Beta1MX_ij_P

mutableprivate

Derivative of Beta1_ij[i][j] wrt P. Vector index is counterIJ.

Definition at line 1786 of file HMWSoln.h.

Referenced by HMWSoln::s_updatePitzer_dlnMolalityActCoeff_dP().

m_Beta1MX_ij_coeff

Array2D m_Beta1MX_ij_coeff

mutableprivate

Array of coefficients for Beta1, a variable in Pitzer's papers.

Column index is counterIJ. m_Beta1MX_ij_coeff.ptrColumn(counterIJ) is a double* containing the vector of coefficients for the counterIJ interaction.

Definition at line 1794 of file HMWSoln.h.

m_Beta2MX_ij

vector_fp m_Beta2MX_ij

mutableprivate

Array of 2D data used in the Pitzer/HMW formulation.

Beta2_ij[i][j] is the value of the Beta2 coefficient for the ij salt. It will be nonzero iff i and j are both charged and have opposite sign, and i and j both have charges of 2 or more. The array is also symmetric. counterIJ where counterIJ = m_counterIJ[i][j] is used to access this array.

Definition at line 1801 of file HMWSoln.h.

Referenced by HMWSoln::printCoeffs(), and HMWSoln::s_updatePitzer_lnMolalityActCoeff().

m_Beta2MX_ij_L

vector_fp m_Beta2MX_ij_L

mutableprivate

Derivative of Beta2_ij[i][j] wrt T. Vector index is counterIJ.

Definition at line 1804 of file HMWSoln.h.

Referenced by HMWSoln::s_updatePitzer_dlnMolalityActCoeff_dT().

m_Beta2MX_ij_LL

vector_fp m_Beta2MX_ij_LL

mutableprivate

Derivative of Beta2_ij[i][j] wrt TT. Vector index is counterIJ.

Definition at line 1807 of file HMWSoln.h.

Referenced by HMWSoln::s_updatePitzer_d2lnMolalityActCoeff_dT2().

m_Beta2MX_ij_P

vector_fp m_Beta2MX_ij_P

mutableprivate

Derivative of Beta2_ij[i][j] wrt P. Vector index is counterIJ.

Definition at line 1810 of file HMWSoln.h.

Referenced by HMWSoln::s_updatePitzer_dlnMolalityActCoeff_dP().

m_Beta2MX_ij_coeff

Array2D m_Beta2MX_ij_coeff

mutableprivate

Array of coefficients for Beta2, a variable in Pitzer's papers.

column index is counterIJ. m_Beta2MX_ij_coeff.ptrColumn(counterIJ) is a double* containing the vector of coefficients for the counterIJ interaction. This was added for the YMP database version of the code since it contains temperature-dependent parameters for some 2-2 electrolytes.

Definition at line 1820 of file HMWSoln.h.

m_Alpha1MX_ij

vector_fp m_Alpha1MX_ij

private

Definition at line 1827 of file HMWSoln.h.

m_Alpha2MX_ij

vector_fp m_Alpha2MX_ij

private

Array of 2D data used in the Pitzer/HMW formulation.

Alpha2MX_ij[i][j] is the value of the alpha2 coefficient for the ij interaction. It will be nonzero iff i and j are both charged and have opposite sign, and i and j both have charges of 2 or more, usually. It is symmetric wrt i, j. counterIJ, where counterIJ = m_counterIJ[i][j], is used to access this array.

Definition at line 1835 of file HMWSoln.h.

Referenced by HMWSoln::s_updatePitzer_d2lnMolalityActCoeff_dT2(), HMWSoln::s_updatePitzer_dlnMolalityActCoeff_dP(), HMWSoln::s_updatePitzer_dlnMolalityActCoeff_dT(), and HMWSoln::s_updatePitzer_lnMolalityActCoeff().

m_CphiMX_ij

vector_fp m_CphiMX_ij

mutableprivate

Array of 2D data used in the Pitzer/HMW formulation.

CphiMX_ij[i][j] is the value of the Cphi coefficient for the ij interaction. It will be nonzero iff i and j are both charged and have opposite sign, and i and j both have charges of 2 or more. The array is also symmetric. counterIJ where counterIJ = m_counterIJ[i][j] is used to access this array.

Definition at line 1842 of file HMWSoln.h.

Referenced by HMWSoln::printCoeffs(), and HMWSoln::s_updatePitzer_lnMolalityActCoeff().

m_CphiMX_ij_L

vector_fp m_CphiMX_ij_L

mutableprivate

Derivative of Cphi_ij[i][j] wrt T. Vector index is counterIJ.

Definition at line 1845 of file HMWSoln.h.

Referenced by HMWSoln::s_updatePitzer_dlnMolalityActCoeff_dT().

m_CphiMX_ij_LL

vector_fp m_CphiMX_ij_LL

mutableprivate

Derivative of Cphi_ij[i][j] wrt TT. Vector index is counterIJ.

Definition at line 1848 of file HMWSoln.h.

Referenced by HMWSoln::s_updatePitzer_d2lnMolalityActCoeff_dT2().

m_CphiMX_ij_P

vector_fp m_CphiMX_ij_P

mutableprivate

Derivative of Cphi_ij[i][j] wrt P. Vector index is counterIJ.

Definition at line 1851 of file HMWSoln.h.

Referenced by HMWSoln::s_updatePitzer_dlnMolalityActCoeff_dP().

m_CphiMX_ij_coeff

Array2D m_CphiMX_ij_coeff

mutableprivate

Array of coefficients for CphiMX, a parameter in the activity coefficient formulation.

Column index is counterIJ. m_CphiMX_ij_coeff.ptrColumn(counterIJ) is a double* containing the vector of coefficients for the counterIJ interaction.

Definition at line 1860 of file HMWSoln.h.

m_Theta_ij

vector_fp m_Theta_ij

mutableprivate

Array of 2D data for Theta_ij[i][j] in the Pitzer/HMW formulation.

Array of 2D data used in the Pitzer/HMW formulation. Theta_ij[i][j] is the value of the theta coefficient for the ij interaction. It will be nonzero for charged ions with the same sign. It is symmetric. counterIJ where counterIJ = m_counterIJ[i][j] is used to access this array.

HKM Recent Pitzer papers have used a functional form for Theta_ij, which depends on the ionic strength.

Definition at line 1872 of file HMWSoln.h.

Referenced by HMWSoln::printCoeffs(), and HMWSoln::s_updatePitzer_lnMolalityActCoeff().

m_Theta_ij_L

vector_fp m_Theta_ij_L

mutableprivate

Derivative of Theta_ij[i][j] wrt T. Vector index is counterIJ.

Definition at line 1875 of file HMWSoln.h.

Referenced by HMWSoln::s_updatePitzer_dlnMolalityActCoeff_dT().

m_Theta_ij_LL

vector_fp m_Theta_ij_LL

mutableprivate

Derivative of Theta_ij[i][j] wrt TT. Vector index is counterIJ.

Definition at line 1878 of file HMWSoln.h.

Referenced by HMWSoln::s_updatePitzer_d2lnMolalityActCoeff_dT2().

m_Theta_ij_P

vector_fp m_Theta_ij_P

mutableprivate

Derivative of Theta_ij[i][j] wrt P. Vector index is counterIJ.

Definition at line 1881 of file HMWSoln.h.

Referenced by HMWSoln::s_updatePitzer_dlnMolalityActCoeff_dP().

m_Theta_ij_coeff

Array2D m_Theta_ij_coeff

private

Array of coefficients for Theta_ij[i][j] in the Pitzer/HMW formulation.

Theta_ij[i][j] is the value of the theta coefficient for the ij interaction. It will be nonzero for charged ions with the same sign. It is symmetric. Column index is counterIJ. counterIJ where counterIJ = m_counterIJ[i][j] is used to access this array.

m_Theta_ij_coeff.ptrColumn(counterIJ) is a double* containing the vector of coefficients for the counterIJ interaction.

Definition at line 1893 of file HMWSoln.h.

m_Psi_ijk

vector_fp m_Psi_ijk

mutableprivate

Array of 3D data used in the Pitzer/HMW formulation.

Psi_ijk[n] is the value of the psi coefficient for the ijk interaction where

n = k + j * m_kk + i * m_kk * m_kk;

It is potentially nonzero everywhere. The first two coordinates are symmetric wrt cations, and the last two coordinates are symmetric wrt anions.

Definition at line 1906 of file HMWSoln.h.

Referenced by HMWSoln::printCoeffs().

m_Psi_ijk_L

vector_fp m_Psi_ijk_L

mutableprivate

Derivative of Psi_ijk[n] wrt T.

See m_Psi_ijk for reference on the indexing into this variable.

Definition at line 1910 of file HMWSoln.h.

Referenced by HMWSoln::s_updatePitzer_dlnMolalityActCoeff_dT().

m_Psi_ijk_LL

vector_fp m_Psi_ijk_LL

mutableprivate

Derivative of Psi_ijk[n] wrt TT.

See m_Psi_ijk for reference on the indexing into this variable.

Definition at line 1914 of file HMWSoln.h.

Referenced by HMWSoln::s_updatePitzer_d2lnMolalityActCoeff_dT2().

m_Psi_ijk_P

vector_fp m_Psi_ijk_P

mutableprivate

Derivative of Psi_ijk[n] wrt P.

See m_Psi_ijk for reference on the indexing into this variable.

Definition at line 1918 of file HMWSoln.h.

Referenced by HMWSoln::s_updatePitzer_dlnMolalityActCoeff_dP().

m_Psi_ijk_coeff

Array2D m_Psi_ijk_coeff

private

Array of coefficients for Psi_ijk[n] in the Pitzer/HMW formulation.

Psi_ijk[n] is the value of the psi coefficient for the ijk interaction where

n = k + j * m_kk + i * m_kk * m_kk;

It is potentially nonzero everywhere. The first two coordinates are symmetric wrt cations, and the last two coordinates are symmetric wrt anions.

m_Psi_ijk_coeff.ptrColumn(n) is a double* containing the vector of coefficients for the n interaction.

Definition at line 1934 of file HMWSoln.h.

m_Lambda_nj

Array2D m_Lambda_nj

mutableprivate

Lambda coefficient for the ij interaction.

Array of 2D data used in the Pitzer/HMW formulation. Lambda_nj[n][j] represents the lambda coefficient for the ij interaction. This is a general interaction representing neutral species. The neutral species occupy the first index, that is, n. The charged species occupy the j coordinate. neutral, neutral interactions are also included here.

Definition at line 1944 of file HMWSoln.h.

m_Lambda_nj_L

Array2D m_Lambda_nj_L

mutableprivate

Derivative of Lambda_nj[i][j] wrt T. see m_Lambda_ij.

Definition at line 1947 of file HMWSoln.h.

Referenced by HMWSoln::s_updatePitzer_dlnMolalityActCoeff_dT().

m_Lambda_nj_LL

Array2D m_Lambda_nj_LL

mutableprivate

Derivative of Lambda_nj[i][j] wrt TT.

Definition at line 1950 of file HMWSoln.h.

Referenced by HMWSoln::s_updatePitzer_d2lnMolalityActCoeff_dT2().

m_Lambda_nj_P

Array2D m_Lambda_nj_P

mutableprivate

Derivative of Lambda_nj[i][j] wrt P.

Definition at line 1953 of file HMWSoln.h.

Referenced by HMWSoln::s_updatePitzer_dlnMolalityActCoeff_dP().

m_Lambda_nj_coeff

Array2D m_Lambda_nj_coeff

private

Array of coefficients for Lambda_nj[i][j] in the Pitzer/HMW formulation.

Array of 2D data used in the Pitzer/HMW formulation. Lambda_ij[i][j] represents the lambda coefficient for the ij interaction. This is a general interaction representing neutral species. The neutral species occupy the first index, that is, i. The charged species occupy the j coordinate. Neutral, neutral interactions are also included here.

n = j + m_kk * i

m_Lambda_ij_coeff.ptrColumn(n) is a double* containing the vector of coefficients for the (i,j) interaction.

Definition at line 1968 of file HMWSoln.h.

m_Mu_nnn

vector_fp m_Mu_nnn

mutableprivate

Mu coefficient for the self-ternary neutral coefficient.

Array of 2D data used in the Pitzer/HMW formulation. Mu_nnn[i] represents the Mu coefficient for the nnn interaction. This is a general interaction representing neutral species interacting with itself.

Definition at line 1976 of file HMWSoln.h.

m_Mu_nnn_L

vector_fp m_Mu_nnn_L

mutableprivate

Mu coefficient temperature derivative for the self-ternary neutral coefficient.

Array of 2D data used in the Pitzer/HMW formulation. Mu_nnn_L[i] represents the Mu coefficient temperature derivative for the nnn interaction. This is a general interaction representing neutral species interacting with itself.

Definition at line 1986 of file HMWSoln.h.

Referenced by HMWSoln::s_updatePitzer_dlnMolalityActCoeff_dT().

m_Mu_nnn_LL

vector_fp m_Mu_nnn_LL

mutableprivate

Mu coefficient 2nd temperature derivative for the self-ternary neutral coefficient.

Array of 2D data used in the Pitzer/HMW formulation. Mu_nnn_L[i] represents the Mu coefficient 2nd temperature derivative for the nnn interaction. This is a general interaction representing neutral species interacting with itself.

Definition at line 1996 of file HMWSoln.h.

Referenced by HMWSoln::s_updatePitzer_d2lnMolalityActCoeff_dT2().

m_Mu_nnn_P

vector_fp m_Mu_nnn_P

mutableprivate

Mu coefficient pressure derivative for the self-ternary neutral coefficient.

Array of 2D data used in the Pitzer/HMW formulation. Mu_nnn_L[i] represents the Mu coefficient pressure derivative for the nnn interaction. This is a general interaction representing neutral species interacting with itself.

Definition at line 2006 of file HMWSoln.h.

Referenced by HMWSoln::s_updatePitzer_dlnMolalityActCoeff_dP().

m_Mu_nnn_coeff

Array2D m_Mu_nnn_coeff

private

Array of coefficients form_Mu_nnn term.

Definition at line 2009 of file HMWSoln.h.

m_lnActCoeffMolal_Scaled

vector_fp m_lnActCoeffMolal_Scaled

mutableprivate

Logarithm of the activity coefficients on the molality scale.

mutable because we change this if the composition or temperature or pressure changes. Index is the species index

Definition at line 2016 of file HMWSoln.h.

Referenced by HMWSoln::getActivities(), HMWSoln::getChemPotentials(), HMWSoln::getPartialMolarEntropies(), and HMWSoln::s_updateScaling_pHScaling().

m_lnActCoeffMolal_Unscaled

vector_fp m_lnActCoeffMolal_Unscaled

mutableprivate

Logarithm of the activity coefficients on the molality scale.

mutable because we change this if the composition or temperature or pressure changes. Index is the species index

Definition at line 2023 of file HMWSoln.h.

Referenced by HMWSoln::applyphScale(), HMWSoln::getUnscaledMolalityActivityCoefficients(), and HMWSoln::s_updateScaling_pHScaling().

m_dlnActCoeffMolaldT_Scaled

vector_fp m_dlnActCoeffMolaldT_Scaled

mutableprivate

Derivative of the Logarithm of the activity coefficients on the molality scale wrt T.

Index is the species index

Definition at line 2027 of file HMWSoln.h.

Referenced by HMWSoln::getPartialMolarCp(), HMWSoln::getPartialMolarEnthalpies(), HMWSoln::getPartialMolarEntropies(), and HMWSoln::s_updateScaling_pHScaling_dT().

m_dlnActCoeffMolaldT_Unscaled

vector_fp m_dlnActCoeffMolaldT_Unscaled

mutableprivate

Derivative of the Logarithm of the activity coefficients on the molality scale wrt T.

Index is the species index

Definition at line 2031 of file HMWSoln.h.

Referenced by HMWSoln::s_update_dlnMolalityActCoeff_dT(), HMWSoln::s_updatePitzer_dlnMolalityActCoeff_dT(), and HMWSoln::s_updateScaling_pHScaling_dT().

m_d2lnActCoeffMolaldT2_Scaled

vector_fp m_d2lnActCoeffMolaldT2_Scaled

mutableprivate

Derivative of the Logarithm of the activity coefficients on the molality scale wrt TT.

Index is the species index.

Definition at line 2035 of file HMWSoln.h.

Referenced by HMWSoln::getPartialMolarCp(), and HMWSoln::s_updateScaling_pHScaling_dT2().

m_d2lnActCoeffMolaldT2_Unscaled

vector_fp m_d2lnActCoeffMolaldT2_Unscaled

mutableprivate

Derivative of the Logarithm of the activity coefficients on the molality scale wrt TT.

Index is the species index

Definition at line 2039 of file HMWSoln.h.

Referenced by HMWSoln::s_update_d2lnMolalityActCoeff_dT2(), HMWSoln::s_updatePitzer_d2lnMolalityActCoeff_dT2(), and HMWSoln::s_updateScaling_pHScaling_dT2().

m_dlnActCoeffMolaldP_Scaled

vector_fp m_dlnActCoeffMolaldP_Scaled

mutableprivate

Derivative of the Logarithm of the activity coefficients on the molality scale wrt P.

Index is the species index

Definition at line 2043 of file HMWSoln.h.

Referenced by HMWSoln::getPartialMolarVolumes(), and HMWSoln::s_updateScaling_pHScaling_dP().

m_dlnActCoeffMolaldP_Unscaled

vector_fp m_dlnActCoeffMolaldP_Unscaled

mutableprivate

Derivative of the Logarithm of the activity coefficients on the molality scale wrt P.

Index is the species index

Definition at line 2047 of file HMWSoln.h.

Referenced by HMWSoln::s_update_dlnMolalityActCoeff_dP(), HMWSoln::s_updatePitzer_dlnMolalityActCoeff_dP(), and HMWSoln::s_updateScaling_pHScaling_dP().

m_molalitiesCropped

vector_fp m_molalitiesCropped

mutableprivate

Cropped and modified values of the molalities used in activity coefficient calculations.

Definition at line 2053 of file HMWSoln.h.

Referenced by HMWSoln::calcMolalitiesCropped(), HMWSoln::initLengths(), HMWSoln::printCoeffs(), HMWSoln::s_updatePitzer_d2lnMolalityActCoeff_dT2(), HMWSoln::s_updatePitzer_dlnMolalityActCoeff_dP(), HMWSoln::s_updatePitzer_dlnMolalityActCoeff_dT(), and HMWSoln::s_updatePitzer_lnMolalityActCoeff().

m_molalitiesAreCropped

bool m_molalitiesAreCropped

mutableprivate

Boolean indicating whether the molalities are cropped or are modified.

Definition at line 2056 of file HMWSoln.h.

Referenced by HMWSoln::calcMolalitiesCropped().

m_CounterIJ

vector_int m_CounterIJ

mutableprivate

a counter variable for keeping track of symmetric binary interactions amongst the solute species.

n = m_kk*i + j m_CounterIJ[n] = counterIJ

Definition at line 2064 of file HMWSoln.h.

Referenced by HMWSoln::counterIJ_setup(), HMWSoln::printCoeffs(), HMWSoln::s_updatePitzer_d2lnMolalityActCoeff_dT2(), HMWSoln::s_updatePitzer_dlnMolalityActCoeff_dP(), HMWSoln::s_updatePitzer_dlnMolalityActCoeff_dT(), and HMWSoln::s_updatePitzer_lnMolalityActCoeff().

elambda

double elambda[17]

mutableprivate

This is elambda, MEC.

Definition at line 2067 of file HMWSoln.h.

Referenced by HMWSoln::calc_lambdas(), and HMWSoln::calc_thetas().

elambda1

double elambda1[17]

mutableprivate

This is elambda1, MEC.

Definition at line 2070 of file HMWSoln.h.

Referenced by HMWSoln::calc_lambdas(), and HMWSoln::calc_thetas().

m_gfunc_IJ

vector_fp m_gfunc_IJ

mutableprivate

Various temporary arrays used in the calculation of the Pitzer activity coefficients.

The subscript, L, denotes the same quantity's derivative wrt temperature This is the value of g(x) in Pitzer's papers. Vector index is counterIJ

Definition at line 2079 of file HMWSoln.h.

Referenced by HMWSoln::s_updatePitzer_d2lnMolalityActCoeff_dT2(), HMWSoln::s_updatePitzer_dlnMolalityActCoeff_dP(), HMWSoln::s_updatePitzer_dlnMolalityActCoeff_dT(), and HMWSoln::s_updatePitzer_lnMolalityActCoeff().

m_g2func_IJ

vector_fp m_g2func_IJ

mutableprivate

This is the value of g2(x2) in Pitzer's papers. Vector index is counterIJ.

Definition at line 2082 of file HMWSoln.h.

Referenced by HMWSoln::s_updatePitzer_d2lnMolalityActCoeff_dT2(), HMWSoln::s_updatePitzer_dlnMolalityActCoeff_dP(), HMWSoln::s_updatePitzer_dlnMolalityActCoeff_dT(), and HMWSoln::s_updatePitzer_lnMolalityActCoeff().

m_hfunc_IJ

vector_fp m_hfunc_IJ

mutableprivate

hfunc, was called gprime in Pitzer's paper.

However, it's not the derivative of gfunc(x), so I renamed it. Vector index is counterIJ

Definition at line 2086 of file HMWSoln.h.

Referenced by HMWSoln::s_updatePitzer_d2lnMolalityActCoeff_dT2(), HMWSoln::s_updatePitzer_dlnMolalityActCoeff_dP(), HMWSoln::s_updatePitzer_dlnMolalityActCoeff_dT(), and HMWSoln::s_updatePitzer_lnMolalityActCoeff().

m_h2func_IJ

vector_fp m_h2func_IJ

mutableprivate

hfunc2, was called gprime in Pitzer's paper.

However, it's not the derivative of gfunc(x), so I renamed it. Vector index is counterIJ

Definition at line 2090 of file HMWSoln.h.

Referenced by HMWSoln::s_updatePitzer_d2lnMolalityActCoeff_dT2(), HMWSoln::s_updatePitzer_dlnMolalityActCoeff_dP(), HMWSoln::s_updatePitzer_dlnMolalityActCoeff_dT(), and HMWSoln::s_updatePitzer_lnMolalityActCoeff().

m_BMX_IJ

vector_fp m_BMX_IJ

mutableprivate

Intermediate variable called BMX in Pitzer's paper.

This is the basic cation - anion interaction. Vector index is counterIJ

Definition at line 2094 of file HMWSoln.h.

Referenced by HMWSoln::s_updatePitzer_lnMolalityActCoeff().

m_BMX_IJ_L

vector_fp m_BMX_IJ_L

mutableprivate

Derivative of BMX_IJ wrt T. Vector index is counterIJ.

Definition at line 2097 of file HMWSoln.h.

Referenced by HMWSoln::s_updatePitzer_dlnMolalityActCoeff_dT().

m_BMX_IJ_LL

vector_fp m_BMX_IJ_LL

mutableprivate

Derivative of BMX_IJ wrt TT. Vector index is counterIJ.

Definition at line 2100 of file HMWSoln.h.

Referenced by HMWSoln::s_updatePitzer_d2lnMolalityActCoeff_dT2().

m_BMX_IJ_P

vector_fp m_BMX_IJ_P

mutableprivate

Derivative of BMX_IJ wrt P. Vector index is counterIJ.

Definition at line 2103 of file HMWSoln.h.

Referenced by HMWSoln::s_updatePitzer_dlnMolalityActCoeff_dP().

m_BprimeMX_IJ

vector_fp m_BprimeMX_IJ

mutableprivate

Intermediate variable called BprimeMX in Pitzer's paper.

Vector index is counterIJ

Definition at line 2107 of file HMWSoln.h.

Referenced by HMWSoln::s_updatePitzer_lnMolalityActCoeff().

m_BprimeMX_IJ_L

vector_fp m_BprimeMX_IJ_L

mutableprivate

Derivative of BprimeMX wrt T. Vector index is counterIJ.

Definition at line 2110 of file HMWSoln.h.

Referenced by HMWSoln::s_updatePitzer_dlnMolalityActCoeff_dT().

m_BprimeMX_IJ_LL

vector_fp m_BprimeMX_IJ_LL

mutableprivate

Derivative of BprimeMX wrt TT. Vector index is counterIJ.

Definition at line 2113 of file HMWSoln.h.

Referenced by HMWSoln::s_updatePitzer_d2lnMolalityActCoeff_dT2().

m_BprimeMX_IJ_P

vector_fp m_BprimeMX_IJ_P

mutableprivate

Derivative of BprimeMX wrt P. Vector index is counterIJ.

Definition at line 2116 of file HMWSoln.h.

Referenced by HMWSoln::s_updatePitzer_dlnMolalityActCoeff_dP().

m_BphiMX_IJ

vector_fp m_BphiMX_IJ

mutableprivate

Intermediate variable called BphiMX in Pitzer's paper.

Vector index is counterIJ

Definition at line 2120 of file HMWSoln.h.

Referenced by HMWSoln::s_updatePitzer_lnMolalityActCoeff().

m_BphiMX_IJ_L

vector_fp m_BphiMX_IJ_L

mutableprivate

Derivative of BphiMX_IJ wrt T. Vector index is counterIJ.

Definition at line 2123 of file HMWSoln.h.

Referenced by HMWSoln::s_updatePitzer_dlnMolalityActCoeff_dT().

m_BphiMX_IJ_LL

vector_fp m_BphiMX_IJ_LL

mutableprivate

Derivative of BphiMX_IJ wrt TT. Vector index is counterIJ.

Definition at line 2126 of file HMWSoln.h.

Referenced by HMWSoln::s_updatePitzer_d2lnMolalityActCoeff_dT2().

m_BphiMX_IJ_P

vector_fp m_BphiMX_IJ_P

mutableprivate

Derivative of BphiMX_IJ wrt P. Vector index is counterIJ.

Definition at line 2129 of file HMWSoln.h.

Referenced by HMWSoln::s_updatePitzer_dlnMolalityActCoeff_dP().

m_Phi_IJ

vector_fp m_Phi_IJ

mutableprivate

Intermediate variable called Phi in Pitzer's paper.

Vector index is counterIJ

Definition at line 2133 of file HMWSoln.h.

Referenced by HMWSoln::s_updatePitzer_lnMolalityActCoeff().

m_Phi_IJ_L

vector_fp m_Phi_IJ_L

mutableprivate

Derivative of m_Phi_IJ wrt T. Vector index is counterIJ.

Definition at line 2136 of file HMWSoln.h.

Referenced by HMWSoln::s_updatePitzer_dlnMolalityActCoeff_dT().

m_Phi_IJ_LL

vector_fp m_Phi_IJ_LL

mutableprivate

Derivative of m_Phi_IJ wrt TT. Vector index is counterIJ.

Definition at line 2139 of file HMWSoln.h.

Referenced by HMWSoln::s_updatePitzer_d2lnMolalityActCoeff_dT2().

m_Phi_IJ_P

vector_fp m_Phi_IJ_P

mutableprivate

Derivative of m_Phi_IJ wrt P. Vector index is counterIJ.

Definition at line 2142 of file HMWSoln.h.

Referenced by HMWSoln::s_updatePitzer_dlnMolalityActCoeff_dP().

m_Phiprime_IJ

vector_fp m_Phiprime_IJ

mutableprivate

Intermediate variable called Phiprime in Pitzer's paper.

Vector index is counterIJ

Definition at line 2146 of file HMWSoln.h.

Referenced by HMWSoln::s_updatePitzer_d2lnMolalityActCoeff_dT2(), HMWSoln::s_updatePitzer_dlnMolalityActCoeff_dP(), HMWSoln::s_updatePitzer_dlnMolalityActCoeff_dT(), and HMWSoln::s_updatePitzer_lnMolalityActCoeff().

m_PhiPhi_IJ

vector_fp m_PhiPhi_IJ

mutableprivate

Intermediate variable called PhiPhi in Pitzer's paper.

Vector index is counterIJ

Definition at line 2150 of file HMWSoln.h.

Referenced by HMWSoln::s_updatePitzer_lnMolalityActCoeff().

m_PhiPhi_IJ_L

vector_fp m_PhiPhi_IJ_L

mutableprivate

Derivative of m_PhiPhi_IJ wrt T. Vector index is counterIJ.

Definition at line 2153 of file HMWSoln.h.

Referenced by HMWSoln::s_updatePitzer_dlnMolalityActCoeff_dT().

m_PhiPhi_IJ_LL

vector_fp m_PhiPhi_IJ_LL

mutableprivate

Derivative of m_PhiPhi_IJ wrt TT. Vector index is counterIJ.

Definition at line 2156 of file HMWSoln.h.

Referenced by HMWSoln::s_updatePitzer_d2lnMolalityActCoeff_dT2().

m_PhiPhi_IJ_P

vector_fp m_PhiPhi_IJ_P

mutableprivate

Derivative of m_PhiPhi_IJ wrt P. Vector index is counterIJ.

Definition at line 2159 of file HMWSoln.h.

Referenced by HMWSoln::s_updatePitzer_dlnMolalityActCoeff_dP().

m_CMX_IJ

vector_fp m_CMX_IJ

mutableprivate

Intermediate variable called CMX in Pitzer's paper.

Vector index is counterIJ

Definition at line 2163 of file HMWSoln.h.

Referenced by HMWSoln::s_updatePitzer_lnMolalityActCoeff().

m_CMX_IJ_L

vector_fp m_CMX_IJ_L

mutableprivate

Derivative of m_CMX_IJ wrt T. Vector index is counterIJ.

Definition at line 2166 of file HMWSoln.h.

Referenced by HMWSoln::s_updatePitzer_dlnMolalityActCoeff_dT().

m_CMX_IJ_LL

vector_fp m_CMX_IJ_LL

mutableprivate

Derivative of m_CMX_IJ wrt TT. Vector index is counterIJ.

Definition at line 2169 of file HMWSoln.h.

Referenced by HMWSoln::s_updatePitzer_d2lnMolalityActCoeff_dT2().

m_CMX_IJ_P

vector_fp m_CMX_IJ_P

mutableprivate

Derivative of m_CMX_IJ wrt P. Vector index is counterIJ.

Definition at line 2172 of file HMWSoln.h.

Referenced by HMWSoln::s_updatePitzer_dlnMolalityActCoeff_dP().

m_gamma_tmp

vector_fp m_gamma_tmp

mutableprivate

Intermediate storage of the activity coefficient itself.

Vector index is the species index

Definition at line 2176 of file HMWSoln.h.

Referenced by HMWSoln::calcMolalitiesCropped(), HMWSoln::relative_enthalpy(), HMWSoln::s_updatePitzer_dlnMolalityActCoeff_dT(), and HMWSoln::s_updatePitzer_lnMolalityActCoeff().

IMS_lnActCoeffMolal_

vector_fp IMS_lnActCoeffMolal_

mutableprivate

Logarithm of the molal activity coefficients.

Normally these are all one. However, stability schemes will change that

Definition at line 2180 of file HMWSoln.h.

Referenced by HMWSoln::s_updateIMS_lnMolalityActCoeff().

IMS_X_o_cutoff_

doublereal IMS_X_o_cutoff_

private

value of the solute mole fraction that centers the cutoff polynomials for the cutoff =1 process;

Definition at line 2184 of file HMWSoln.h.

Referenced by HMWSoln::calcIMSCutoffParams_(), and HMWSoln::s_updateIMS_lnMolalityActCoeff().

IMS_cCut_

doublereal IMS_cCut_

private

Parameter in the polyExp cutoff treatment having to do with rate of exp decay.

Definition at line 2187 of file HMWSoln.h.

Referenced by HMWSoln::calcIMSCutoffParams_(), and HMWSoln::s_updateIMS_lnMolalityActCoeff().

IMS_slopegCut_

doublereal IMS_slopegCut_

private

Parameter in the polyExp cutoff treatment.

This is the slope of the g function at the zero solvent point Default value is 0.0

Definition at line 2194 of file HMWSoln.h.

Referenced by HMWSoln::calcIMSCutoffParams_().

IMS_dfCut_

doublereal IMS_dfCut_

private

Definition at line 2198 of file HMWSoln.h.

IMS_efCut_

doublereal IMS_efCut_

private

Definition at line 2199 of file HMWSoln.h.

IMS_afCut_

doublereal IMS_afCut_

private

Definition at line 2200 of file HMWSoln.h.

IMS_bfCut_

doublereal IMS_bfCut_

private

Definition at line 2201 of file HMWSoln.h.

IMS_dgCut_

doublereal IMS_dgCut_

private

Definition at line 2202 of file HMWSoln.h.

IMS_egCut_

doublereal IMS_egCut_

private

Definition at line 2203 of file HMWSoln.h.

IMS_agCut_

doublereal IMS_agCut_

private

Definition at line 2204 of file HMWSoln.h.

IMS_bgCut_

doublereal IMS_bgCut_

private

Definition at line 2205 of file HMWSoln.h.

MC_X_o_cutoff_

doublereal MC_X_o_cutoff_

private

value of the solvent mole fraction that centers the cutoff polynomials for the cutoff =1 process;

Definition at line 2210 of file HMWSoln.h.

Referenced by HMWSoln::calcMCCutoffParams_(), and HMWSoln::calcMolalitiesCropped().

MC_dpCut_

doublereal MC_dpCut_

private

Definition at line 2214 of file HMWSoln.h.

MC_epCut_

doublereal MC_epCut_

private

Definition at line 2215 of file HMWSoln.h.

MC_apCut_

doublereal MC_apCut_

private

Definition at line 2216 of file HMWSoln.h.

MC_bpCut_

doublereal MC_bpCut_

private

Definition at line 2217 of file HMWSoln.h.

MC_cpCut_

doublereal MC_cpCut_

private

Definition at line 2218 of file HMWSoln.h.

CROP_ln_gamma_o_min

doublereal CROP_ln_gamma_o_min

private

Definition at line 2219 of file HMWSoln.h.

CROP_ln_gamma_o_max

doublereal CROP_ln_gamma_o_max

private

Definition at line 2220 of file HMWSoln.h.

CROP_ln_gamma_k_min

doublereal CROP_ln_gamma_k_min

private

Definition at line 2221 of file HMWSoln.h.

CROP_ln_gamma_k_max

doublereal CROP_ln_gamma_k_max

private

Definition at line 2222 of file HMWSoln.h.

CROP_speciesCropped_

vector_int CROP_speciesCropped_

mutableprivate

This is a boolean-type vector indicating whether a species's activity coefficient is in the cropped regime.

• 0 = Not in cropped regime
• 1 = In a transition regime where it is altered but there still may be a temperature or pressure dependence
• 2 = In a cropped regime where there is no temperature or pressure dependence

Definition at line 2233 of file HMWSoln.h.

Referenced by HMWSoln::s_update_d2lnMolalityActCoeff_dT2(), HMWSoln::s_update_dlnMolalityActCoeff_dP(), and HMWSoln::s_update_dlnMolalityActCoeff_dT().

m_last_is

doublereal m_last_is

mutableprivate

Definition at line 2344 of file HMWSoln.h.

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The documentation for this class was generated from the following files:

• HMWSoln.h
• HMWSoln.cpp