Class MaskellSolidSolnPhase represents a condensed phase non-ideal solution with 2 species following the thermodynamic model described in Maskell, Shaw, and Tye, Manganese Dioxide Electrode – IX, Electrochimica Acta 28(2) pp 231-235, 1983. More...

#include <MaskellSolidSolnPhase.h>

Inheritance diagram for MaskellSolidSolnPhase:

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Collaboration diagram for MaskellSolidSolnPhase:

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Public Member Functions
virtual std::string	type () const
	String indicating the thermodynamic model implemented. More...

virtual Units	standardConcentrationUnits () const
	Returns the units of the "standard concentration" for this phase. More...

virtual void	getActivityConcentrations (doublereal *c) const
	This method returns an array of generalized concentrations. More...

virtual doublereal	standardConcentration (size_t k=0) const
	Return the standard concentration for the kth species. More...

virtual doublereal	logStandardConc (size_t k=0) const
	Natural logarithm of the standard concentration of the kth species. More...

Molar Thermodynamic Properties of the Solution
virtual doublereal	enthalpy_mole () const
	Molar enthalpy. Units: J/kmol. More...

virtual doublereal	entropy_mole () const
	Molar entropy. Units: J/kmol/K. More...

Mechanical Equation of State Properties
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.
virtual doublereal	pressure () const
	Pressure. More...

virtual void	setPressure (doublereal p)
	Set the pressure at constant temperature. More...

virtual void	setDensity (const doublereal rho)
	Overridden setDensity() function is necessary because the density is not an independent variable. More...

virtual void	calcDensity ()
	Calculate the density of the mixture using the partial molar volumes and mole fractions as input. More...

virtual void	setMolarDensity (const doublereal rho)
	Overridden setMolarDensity() function is necessary because the density is not an independent variable. More...

Chemical Potentials and Activities
virtual void	getActivityCoefficients (doublereal *ac) const
	Get the array of non-dimensional molar-based activity coefficients at the current solution temperature, pressure, and solution concentration. More...

virtual void	getChemPotentials (doublereal *mu) const
	Get the species chemical potentials. Units: J/kmol. More...

virtual void	getChemPotentials_RT (doublereal *mu) const
	Get the array of non-dimensional species chemical potentials. More...

Partial Molar Properties of the Solution
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	getPartialMolarCp (doublereal *cpbar) const
	Return an array of partial molar heat capacities for the species in the mixture. More...

virtual void	getPartialMolarVolumes (doublereal *vbar) const
	Return an array of partial molar volumes for the species in the mixture. 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	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...

Public Member Functions inherited from VPStandardStateTP
	VPStandardStateTP ()
	Constructor. More...

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 bool	addSpecies (shared_ptr< Species > spec)

void	installPDSS (size_t k, std::unique_ptr< PDSS > &&pdss)
	Install a PDSS object for species k More...

PDSS *	providePDSS (size_t k)

const PDSS *	providePDSS (size_t k) const

virtual bool	addSpecies (shared_ptr< Species > spec)
	Add a Species to this Phase. 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	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	setTemperature (const doublereal temp)
	Set the temperature of the phase. More...

virtual void	setState_TP (doublereal T, doublereal pres)
	Set the temperature and pressure at the same time. 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...

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...

virtual std::string	phaseOfMatter () const
	String indicating the mechanical phase of the matter in this Phase. 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	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...

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 int	activityConvention () const
	This method returns the convention used in specification of the activities, of which there are currently two, molar- and molality-based conventions. More...

virtual void	getActivities (doublereal *a) const
	Get the array of non-dimensional activities at the current solution temperature, pressure, and solution concentration. 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...

doublereal	RT () const
	Return the Gas Constant multiplied by the current temperature. 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...

virtual void	setState (const AnyMap &state)
	Set the state using an AnyMap containing any combination of properties supported by the thermodynamic model. 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	equivalenceRatio () const
	Compute the equivalence ratio for the current mixture from available oxygen and required oxygen. 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	satPressure (doublereal t)
	Return the saturation pressure given the temperature. 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

virtual 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...

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	setStateFromXML (const XML_Node &state)
	Set the initial state of the phase to the conditions specified in the state XML element. 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 (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 void	getdlnActCoeffdlnN_numderiv (const size_t ld, doublereal *const dlnActCoeffdlnN)

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 void	reportCSV (std::ofstream &csvFile) const
	returns a summary of the state of the phase to a comma separated file. 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...

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...

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, e.g. 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	id () const
	Return the string id for the phase. More...

void	setID (const std::string &id)
	Set the string id for the phase. 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	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...

doublereal	temperature () const
	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...

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 (i.e. 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...

Utility Functions
doublereal	m_Pcurrent
	m_Pcurrent = The current pressure. More...

doublereal	h_mixing
	Value of the enthalpy change on mixing due to protons changing from type B to type A configurations. More...

int	product_species_index
	Index of the species whose mole fraction defines the extent of reduction r. More...

int	reactant_species_index

virtual void	initThermo ()

virtual void	initThermoXML (XML_Node &phaseNode, const std::string &id)
	Import and initialize a ThermoPhase object using an XML tree. More...

void	set_h_mix (const doublereal hmix)

void	setProductSpecies (const std::string &name)
	Set the product Species. Must be called after species have been added. More...

doublereal	s () const

doublereal	fm (const doublereal r) const

doublereal	p (const doublereal r) const

Additional Inherited Members
Protected Member Functions inherited from VPStandardStateTP
virtual void	invalidateCache ()
	Invalidate any cached values which are normally updated only when a change in state is detected. More...

virtual void	_updateStandardStateThermo () const
	Updates the standard state thermodynamic functions at the current T and P of the solution. More...

const vector_fp &	Gibbs_RT_ref () const

Protected Member Functions inherited from ThermoPhase
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 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...

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 MaskellSolidSolnPhase represents a condensed phase non-ideal solution with 2 species following the thermodynamic model described in Maskell, Shaw, and Tye, Manganese Dioxide Electrode – IX, Electrochimica Acta 28(2) pp 231-235, 1983.

Definition at line 27 of file MaskellSolidSolnPhase.h.

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 32 of file MaskellSolidSolnPhase.h.

◆ standardConcentrationUnits()

virtual Units standardConcentrationUnits ( ) const

inlinevirtual

Returns the units of the "standard concentration" for this phase.

These are the units of the values returned by the functions getActivityConcentrations() and standardConcentration(), which can vary between different ThermoPhase-derived classes, or change within a single class depending on input options. See the documentation for standardConcentration() for the derived class for specific details.

Reimplemented from ThermoPhase.

Definition at line 36 of file MaskellSolidSolnPhase.h.

◆ getActivityConcentrations()

void getActivityConcentrations ( doublereal * c ) const

virtual

This method returns an array of generalized concentrations.

\( C^a_k\) are defined such that \( a_k = C^a_k / C^0_k, \) where \( C^0_k \) is a standard concentration defined below and \( a_k \) are activities used in the thermodynamic functions. These activity (or generalized) concentrations are used by kinetics manager classes to compute the forward and reverse rates of elementary reactions. Note that they may or may not have units of concentration — they might be partial pressures, mole fractions, or surface coverages, for example.

Parameters

c	Output array of generalized concentrations. The units depend upon the implementation of the reaction rate expressions within the phase.

Reimplemented from ThermoPhase.

Definition at line 28 of file MaskellSolidSolnPhase.cpp.

◆ standardConcentration()

virtual doublereal standardConcentration ( size_t k = 0 ) const

inlinevirtual

Return the standard concentration for the kth species.

The standard concentration \( C^0_k \) used to normalize the activity (i.e., generalized) concentration. In many cases, this quantity will be the same for all species in a phase - for example, for an ideal gas \( C^0_k = P/\hat R T \). For this reason, this method returns a single value, instead of an array. However, for phases in which the standard concentration is species-specific (e.g. surface species of different sizes), this method may be called with an optional parameter indicating the species.

Parameters

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

Returns: Returns the standard concentration. The units are by definition dependent on the ThermoPhase and kinetics manager representation.

Reimplemented from ThermoPhase.

Definition at line 38 of file MaskellSolidSolnPhase.h.

◆ logStandardConc()

virtual doublereal logStandardConc ( size_t k = 0 ) const

inlinevirtual

Natural logarithm of the standard concentration of the kth species.

Parameters

k	index of the species (defaults to zero)

Reimplemented from ThermoPhase.

Definition at line 39 of file MaskellSolidSolnPhase.h.

◆ enthalpy_mole()

doublereal enthalpy_mole ( ) const

virtual

Molar enthalpy. Units: J/kmol.

Reimplemented from ThermoPhase.

Definition at line 38 of file MaskellSolidSolnPhase.cpp.

◆ entropy_mole()

doublereal entropy_mole ( ) const

virtual

Molar entropy. Units: J/kmol/K.

Reimplemented from ThermoPhase.

Definition at line 51 of file MaskellSolidSolnPhase.cpp.

◆ pressure()

virtual doublereal pressure ( ) const

inlinevirtual

Pressure.

Units: Pa. For this incompressible system, we return the internally stored independent value of the pressure.

Reimplemented from VPStandardStateTP.

Definition at line 63 of file MaskellSolidSolnPhase.h.

References MaskellSolidSolnPhase::m_Pcurrent.

◆ setPressure()

void setPressure ( doublereal p )

virtual

Set the pressure at constant temperature.

Units: Pa. This method sets a constant within the object. The mass density is not a function of pressure.

Parameters

p	Input Pressure (Pa)

Reimplemented from VPStandardStateTP.

Definition at line 90 of file MaskellSolidSolnPhase.cpp.

◆ setDensity()

void setDensity ( const doublereal rho )

virtual

Overridden setDensity() function is necessary because the density is not an independent variable.

This function will now throw an error condition

Parameters

rho	Input density

Deprecated:: Functionality merged with base function after Cantera 2.5. (superseded by isCompressible check in Phase::setDensity)

Reimplemented from Phase.

Definition at line 62 of file MaskellSolidSolnPhase.cpp.

References Cantera::warn_deprecated().

◆ calcDensity()

void calcDensity ( )

virtual

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

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 function is not a member of the ThermoPhase base class.

Reimplemented from VPStandardStateTP.

Definition at line 77 of file MaskellSolidSolnPhase.cpp.

◆ setMolarDensity()

void setMolarDensity ( const doublereal rho )

virtual

Overridden setMolarDensity() function is necessary because the density is not an independent variable.

This function will now throw an error condition.

Parameters

rho	Input Density

Deprecated:: Functionality merged with base function after Cantera 2.5. (superseded by isCompressible check in Phase::setDensity)

Reimplemented from Phase.

Definition at line 95 of file MaskellSolidSolnPhase.cpp.

References Cantera::warn_deprecated().

◆ getActivityCoefficients()

void getActivityCoefficients ( doublereal * ac ) const

virtual

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

Parameters

ac	Output vector of activity coefficients. Length: m_kk.

Reimplemented from ThermoPhase.

Definition at line 106 of file MaskellSolidSolnPhase.cpp.

References CachedValue< T >::validate(), and CachedValue< T >::value.

◆ 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 at the current temperature, pressure and mole fraction of the solution.

Parameters

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

Reimplemented from ThermoPhase.

Definition at line 125 of file MaskellSolidSolnPhase.cpp.

◆ getChemPotentials_RT()

void getChemPotentials_RT ( doublereal * mu ) const

virtual

Get the array of non-dimensional species chemical potentials.

These are partial molar Gibbs free energies, \( \mu_k / \hat R T \).

We close the loop on this function, here, calling getChemPotentials() and then dividing by RT. No need for child classes to handle.

Parameters

mu	Output vector of non-dimensional species chemical potentials Length: m_kk.

Reimplemented from VPStandardStateTP.

Definition at line 138 of file MaskellSolidSolnPhase.cpp.

◆ getPartialMolarEnthalpies()

void getPartialMolarEnthalpies ( doublereal * hbar ) const

virtual

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

Units (J/kmol)

Parameters

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

Reimplemented from ThermoPhase.

Definition at line 148 of file MaskellSolidSolnPhase.cpp.

◆ getPartialMolarEntropies()

void getPartialMolarEntropies ( doublereal * sbar ) const

virtual

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

Units: J/kmol/K.

Parameters

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

Reimplemented from ThermoPhase.

Definition at line 153 of file MaskellSolidSolnPhase.cpp.

◆ 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

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 158 of file MaskellSolidSolnPhase.cpp.

◆ getPartialMolarVolumes()

void getPartialMolarVolumes ( doublereal * vbar ) const

virtual

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

Units: m^3/kmol.

Parameters

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

Reimplemented from ThermoPhase.

Definition at line 163 of file MaskellSolidSolnPhase.cpp.

◆ getPureGibbs()

void getPureGibbs ( doublereal * gpure ) const

virtual

Get the Gibbs functions for the standard state of the species at the current T and P of the solution.

Units are Joules/kmol

Parameters

gpure Output vector of standard state Gibbs free energies. Length: m_kk.

Reimplemented from VPStandardStateTP.

Definition at line 168 of file MaskellSolidSolnPhase.cpp.

◆ getStandardChemPotentials()

void getStandardChemPotentials ( doublereal * mu ) const

virtual

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.

These are the standard state chemical potentials \( \mu^0_k(T,P) \). The values are evaluated at the current temperature and pressure of the solution

Parameters

mu	Output vector of chemical potentials. Length: m_kk.

Reimplemented from VPStandardStateTP.

Definition at line 175 of file MaskellSolidSolnPhase.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 VPStandardStateTP.

Definition at line 184 of file MaskellSolidSolnPhase.cpp.

◆ initThermoXML()

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

virtual

Import and initialize a ThermoPhase object using an XML tree.

Here we read extra information about the XML description of a phase. Regular information about elements and species and their reference state thermodynamic information have already been read at this point. For example, we do not need to call this function for ideal gas equations of state. This function is called from importPhase() after the elements and the species are initialized with default ideal solution level data.

The default implementation in ThermoPhase calls the virtual function initThermo() and then sets the "state" of the phase by looking for an XML element named "state", and then interpreting its contents by calling the virtual function setStateFromXML().

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 196 of file MaskellSolidSolnPhase.cpp.

References Cantera::caseInsensitiveEquals(), XML_Node::child(), Cantera::fpValue(), XML_Node::hasChild(), XML_Node::id(), and XML_Node::value().

◆ setProductSpecies()

void setProductSpecies ( const std::string & name )

Set the product Species. Must be called after species have been added.

Definition at line 240 of file MaskellSolidSolnPhase.cpp.

Member Data Documentation

◆ m_Pcurrent

doublereal m_Pcurrent

private

m_Pcurrent = The current pressure.

Since the density isn't a function of pressure, but only of the mole fractions, we need to independently specify the pressure.

Definition at line 143 of file MaskellSolidSolnPhase.h.

Referenced by MaskellSolidSolnPhase::pressure().

◆ h_mixing

doublereal h_mixing

private

Value of the enthalpy change on mixing due to protons changing from type B to type A configurations.

Definition at line 147 of file MaskellSolidSolnPhase.h.

◆ product_species_index

int product_species_index

private

Index of the species whose mole fraction defines the extent of reduction r.

Definition at line 150 of file MaskellSolidSolnPhase.h.

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

Public Member Functions

Utility Functions

Additional Inherited Members

Detailed Description

Member Function Documentation

◆ type()

◆ standardConcentrationUnits()

◆ getActivityConcentrations()

◆ standardConcentration()

◆ logStandardConc()

◆ enthalpy_mole()

◆ entropy_mole()

◆ pressure()

◆ setPressure()

◆ setDensity()

◆ calcDensity()

◆ setMolarDensity()

◆ getActivityCoefficients()

◆ getChemPotentials()

◆ getChemPotentials_RT()

◆ getPartialMolarEnthalpies()

◆ getPartialMolarEntropies()

◆ getPartialMolarCp()

◆ getPartialMolarVolumes()

◆ getPureGibbs()

◆ getStandardChemPotentials()

◆ initThermo()

◆ initThermoXML()

◆ setProductSpecies()

Member Data Documentation

◆ m_Pcurrent

◆ h_mixing

◆ product_species_index