Source code for thermo.phase_change

'''Chemical Engineering Design Library (ChEDL). Utilities for process modeling.
Copyright (C) 2016, 2017, 2018, 2019, 2020 Caleb Bell <Caleb.Andrew.Bell@gmail.com>

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SOFTWARE.

This module contains implementations of :obj:`thermo.utils.TDependentProperty`
representing enthalpy of vaporization and enthalpy of sublimation. A variety of
estimation and data methods are available as included in the `chemicals` library.

For reporting bugs, adding feature requests, or submitting pull requests,
please use the `GitHub issue tracker <https://github.com/CalebBell/thermo/>`_.

.. contents:: :local:

Enthalpy of Vaporization
========================
.. autoclass:: EnthalpyVaporization
    :members: calculate, test_method_validity,
              interpolation_T, interpolation_property,
              interpolation_property_inv, name, property_max, property_min,
              units, ranked_methods, Watson_exponent
    :undoc-members:
    :show-inheritance:
    :exclude-members:

.. autodata:: enthalpy_vaporization_methods

Enthalpy of Sublimation
=======================
.. autoclass:: EnthalpySublimation
    :members: calculate, test_method_validity,
              interpolation_T, interpolation_property,
              interpolation_property_inv, name, property_max, property_min,
              units, ranked_methods
    :undoc-members:
    :show-inheritance:
    :exclude-members:

.. autodata:: enthalpy_sublimation_methods
'''


__all__ = ['enthalpy_vaporization_methods', 'EnthalpyVaporization',
           'enthalpy_sublimation_methods', 'EnthalpySublimation']



from chemicals import miscdata, phase_change
from chemicals.dippr import EQ106
from chemicals.identifiers import CAS_to_int
from chemicals.miscdata import lookup_VDI_tabular_data
from chemicals.phase_change import MK, PPDS12, SMK, Alibakhshi, Chen, Clapeyron, Liu, Pitzer, Riedel, Velasco, Vetere, Watson
from fluids.numerics import isnan

from thermo.coolprop import CoolProp_failing_PT_flashes, PropsSI, coolprop_dict, coolprop_fluids, has_CoolProp
from thermo.heat_capacity import HeatCapacityGas, HeatCapacitySolid
from thermo.utils import COOLPROP, DIPPR_PERRY_8E, HEOS_FIT, VDI_PPDS, VDI_TABULAR, TDependentProperty

CRC_HVAP_TB = 'CRC_HVAP_TB'
CRC_HVAP_298 = 'CRC_HVAP_298'
GHARAGHEIZI_HVAP_298 = 'GHARAGHEIZI_HVAP_298'
MORGAN_KOBAYASHI = 'MORGAN_KOBAYASHI'
SIVARAMAN_MAGEE_KOBAYASHI = 'SIVARAMAN_MAGEE_KOBAYASHI'
VELASCO = 'VELASCO'
PITZER = 'PITZER'
CLAPEYRON = 'CLAPEYRON'
ALIBAKHSHI = 'ALIBAKHSHI'

RIEDEL = 'RIEDEL'
CHEN = 'CHEN'
LIU = 'LIU'
VETERE = 'VETERE'

enthalpy_vaporization_methods = [HEOS_FIT, DIPPR_PERRY_8E, VDI_PPDS, COOLPROP, VDI_TABULAR,
                                 MORGAN_KOBAYASHI,
                      SIVARAMAN_MAGEE_KOBAYASHI, VELASCO, PITZER, ALIBAKHSHI,
                      CRC_HVAP_TB, CRC_HVAP_298, GHARAGHEIZI_HVAP_298,
                      CLAPEYRON, RIEDEL, CHEN, VETERE, LIU]
"""Holds all methods available for the EnthalpyVaporization class, for use in
iterating over them."""


[docs]class EnthalpyVaporization(TDependentProperty): '''Class for dealing with heat of vaporization as a function of temperature. Consists of three constant value data sources, one source of tabular information, three coefficient-based methods, nine corresponding-states estimators, and the external library CoolProp. Parameters ---------- Tb : float, optional Boiling point, [K] Tc : float, optional Critical temperature, [K] Pc : float, optional Critical pressure, [Pa] omega : float, optional Acentric factor, [-] similarity_variable : float, optional similarity variable, n_atoms/MW, [mol/g] Psat : float or callable, optional Vapor pressure at T or callable for the same, [Pa] Zl : float or callable, optional Compressibility of liquid at T or callable for the same, [-] Zg : float or callable, optional Compressibility of gas at T or callable for the same, [-] CASRN : str, optional The CAS number of the chemical load_data : bool, optional If False, do not load property coefficients from data sources in files [-] extrapolation : str or None None to not extrapolate; see :obj:`TDependentProperty <thermo.utils.TDependentProperty>` for a full list of all options, [-] method : str or None, optional If specified, use this method by default and do not use the ranked sorting; an exception is raised if this is not a valid method for the provided inputs, [-] Notes ----- To iterate over all methods, use the list stored in :obj:`enthalpy_vaporization_methods`. **CLAPEYRON**: The Clapeyron fundamental model desecribed in :obj:`Clapeyron <chemicals.phase_change.Clapeyron>`. This is the model which uses `Zl`, `Zg`, and `Psat`, all of which must be set at each temperature change to allow recalculation of the heat of vaporization. **MORGAN_KOBAYASHI**: The MK CSP model equation documented in :obj:`MK <chemicals.phase_change.MK>`. **SIVARAMAN_MAGEE_KOBAYASHI**: The SMK CSP model equation documented in :obj:`SMK <chemicals.phase_change.SMK>`. **VELASCO**: The Velasco CSP model equation documented in :obj:`Velasco <chemicals.phase_change.Velasco>`. **PITZER**: The Pitzer CSP model equation documented in :obj:`Pitzer <chemicals.phase_change.Pitzer>`. **RIEDEL**: The Riedel CSP model equation, valid at the boiling point only, documented in :obj:`Riedel <chemicals.phase_change.Riedel>`. This is adjusted with the :obj:`Watson <chemicals.phase_change.Watson>` equation unless `Tc` is not available. **CHEN**: The Chen CSP model equation, valid at the boiling point only, documented in :obj:`Chen <chemicals.phase_change.Chen>`. This is adjusted with the :obj:`Watson <chemicals.phase_change.Watson>` equation unless `Tc` is not available. **VETERE**: The Vetere CSP model equation, valid at the boiling point only, documented in :obj:`Vetere <chemicals.phase_change.Vetere>`. This is adjusted with the :obj:`Watson <chemicals.phase_change.Watson>` equation unless `Tc` is not available. **LIU**: The Liu CSP model equation, valid at the boiling point only, documented in :obj:`Liu <chemicals.phase_change.Liu>`. This is adjusted with the :obj:`Watson <chemicals.phase_change.Watson>` equation unless `Tc` is not available. **CRC_HVAP_TB**: The constant value available in [4]_ at the normal boiling point. This is adusted with the :obj:`Watson <chemicals.phase_change.Watson>` equation unless `Tc` is not available. Data is available for 707 chemicals. **CRC_HVAP_298**: The constant value available in [4]_ at 298.15 K. This is adusted with the :obj:`Watson <chemicals.phase_change.Watson>` equation unless `Tc` is not available. Data is available for 633 chemicals. **GHARAGHEIZI_HVAP_298**: The constant value available in [5]_ at 298.15 K. This is adusted with the :obj:`Watson <chemicals.phase_change.Watson>` equation unless `Tc` is not available. Data is available for 2730 chemicals. **COOLPROP**: CoolProp external library; with select fluids from its library. Range is limited to that of the equations of state it uses, as described in [3]_. Very slow but accurate. **VDI_TABULAR**: Tabular data in [4]_ along the saturation curve; interpolation is as set by the user or the default. **VDI_PPDS**: Coefficients for a equation form developed by the PPDS, published openly in [3]_. Extrapolates poorly at low temperatures. **DIPPR_PERRY_8E**: A collection of 344 coefficient sets from the DIPPR database published openly in [6]_. Provides temperature limits for all its fluids. :obj:`chemicals.dippr.EQ106` is used for its fluids. **ALIBAKHSHI**: One-constant limited temperature range regression method presented in [7]_, with constants for ~2000 chemicals from the DIPPR database. Valid up to 100 K below the critical point, and 50 K under the boiling point. **HEOS_FIT**: A series of higher-order polynomial fits to the calculated results from fundamental helmholtz equations of state as calculated with REFPROP See Also -------- chemicals.phase_change.MK chemicals.phase_change.SMK chemicals.phase_change.Velasco chemicals.phase_change.Clapeyron chemicals.phase_change.Riedel chemicals.phase_change.Chen chemicals.phase_change.Vetere chemicals.phase_change.Liu chemicals.phase_change.Watson References ---------- .. [1] Poling, Bruce E. The Properties of Gases and Liquids. 5th edition. New York: McGraw-Hill Professional, 2000. .. [2] Bell, Ian H., Jorrit Wronski, Sylvain Quoilin, and Vincent Lemort. “Pure and Pseudo-Pure Fluid Thermophysical Property Evaluation and the Open-Source Thermophysical Property Library CoolProp.” Industrial & Engineering Chemistry Research 53, no. 6 (February 12, 2014): 2498-2508. doi:10.1021/ie4033999. http://www.coolprop.org/ .. [3] Gesellschaft, V. D. I., ed. VDI Heat Atlas. 2nd edition. Berlin; New York:: Springer, 2010. .. [4] Haynes, W.M., Thomas J. Bruno, and David R. Lide. CRC Handbook of Chemistry and Physics. [Boca Raton, FL]: CRC press, 2014. .. [5] Gharagheizi, Farhad, Poorandokht Ilani-Kashkouli, William E. Acree Jr., Amir H. Mohammadi, and Deresh Ramjugernath. "A Group Contribution Model for Determining the Vaporization Enthalpy of Organic Compounds at the Standard Reference Temperature of 298 K." Fluid Phase Equilibria 360 (December 25, 2013): 279-92. doi:10.1016/j.fluid.2013.09.021. .. [6] Green, Don, and Robert Perry. Perry's Chemical Engineers' Handbook, Eighth Edition. McGraw-Hill Professional, 2007. .. [7] Alibakhshi, Amin. "Enthalpy of Vaporization, Its Temperature Dependence and Correlation with Surface Tension: A Theoretical Approach." Fluid Phase Equilibria 432 (January 25, 2017): 62-69. doi:10.1016/j.fluid.2016.10.013. ''' name = 'Enthalpy of vaporization' units = 'J/mol' interpolation_T = None """No interpolation transformation by default.""" interpolation_property = None """No interpolation transformation by default.""" interpolation_property_inv = None """No interpolation transformation by default.""" tabular_extrapolation_permitted = True """Allow tabular extrapolation by default; values below 0 will be obtained at high temperatures.""" property_min = 0 """Mimimum valid value of heat of vaporization. This occurs at the critical point exactly.""" property_max = 1E6 """Maximum valid of heat of vaporization. Set to twice the value in the available data.""" critical_zero = True """Whether or not the property is declining and reaching zero at the critical point.""" ranked_methods = [HEOS_FIT, COOLPROP, DIPPR_PERRY_8E, VDI_PPDS, MORGAN_KOBAYASHI, SIVARAMAN_MAGEE_KOBAYASHI, VELASCO, PITZER, VDI_TABULAR, ALIBAKHSHI, CRC_HVAP_TB, CRC_HVAP_298, GHARAGHEIZI_HVAP_298, CLAPEYRON, RIEDEL, CHEN, VETERE, LIU] """Default rankings of the available methods.""" boiling_methods = [RIEDEL, CHEN, VETERE, LIU] CSP_methods = [MORGAN_KOBAYASHI, SIVARAMAN_MAGEE_KOBAYASHI, VELASCO, PITZER] Watson_exponent = 0.38 """Exponent used in the Watson equation""" custom_args = ('Tb', 'Tc', 'Pc', 'omega', 'similarity_variable', 'Psat', 'Zl', 'Zg',) def __init__(self, CASRN='', Tb=None, Tc=None, Pc=None, omega=None, similarity_variable=None, Psat=None, Zl=None, Zg=None, extrapolation='Watson', **kwargs): self.CASRN = CASRN self.Tb = Tb self.Tc = Tc self.Pc = Pc self.omega = omega self.similarity_variable = similarity_variable self.Psat = Psat self.Zl = Zl self.Zg = Zg super().__init__(extrapolation, **kwargs) def load_all_methods(self, load_data=True): r'''Method which picks out coefficients for the specified chemical from the various dictionaries and DataFrames storing it. All data is stored as attributes. This method also sets :obj:`Tmin`, :obj:`Tmax`, and :obj:`all_methods` as a set of methods for which the data exists for. Called on initialization only. See the source code for the variables at which the coefficients are stored. The coefficients can safely be altered once the class is initialized. This method can be called again to reset the parameters. ''' methods = [] self.T_limits = T_limits = {} self.all_methods = set() CASRN = self.CASRN if load_data and CASRN: if has_CoolProp() and CASRN in coolprop_dict: methods.append(COOLPROP) self.CP_f = coolprop_fluids[CASRN] T_limits[COOLPROP] = (self.CP_f.Tt, self.CP_f.Tc*.9999) if CASRN in miscdata.VDI_saturation_dict: Ts, props = lookup_VDI_tabular_data(CASRN, 'Hvap') self.add_tabular_data(Ts, props, VDI_TABULAR, check_properties=False) del self._method if CASRN in phase_change.phase_change_data_Alibakhshi_Cs.index and self.Tc is not None: methods.append(ALIBAKHSHI) self.Alibakhshi_C = float(phase_change.phase_change_data_Alibakhshi_Cs.at[CASRN, 'C']) T_limits[ALIBAKHSHI] = (self.Tc*.3, max(self.Tc-100., 0)) if CASRN in phase_change.Hvap_data_CRC.index and not isnan(phase_change.Hvap_data_CRC.at[CASRN, 'HvapTb']): methods.append(CRC_HVAP_TB) self.CRC_HVAP_TB_Tb = float(phase_change.Hvap_data_CRC.at[CASRN, 'Tb']) self.CRC_HVAP_TB_Hvap = float(phase_change.Hvap_data_CRC.at[CASRN, 'HvapTb']) if self.Tc is not None: T_limits[CRC_HVAP_TB] = (self.Tc*.001, self.Tc) else: T_limits[CRC_HVAP_TB] = (self.CRC_HVAP_TB_Tb, self.CRC_HVAP_TB_Tb) if CASRN in phase_change.Hvap_data_CRC.index and not isnan(phase_change.Hvap_data_CRC.at[CASRN, 'Hvap298']): methods.append(CRC_HVAP_298) self.CRC_HVAP_298 = float(phase_change.Hvap_data_CRC.at[CASRN, 'Hvap298']) if self.Tc is not None: T_limits[CRC_HVAP_298] = (self.Tc*.001, self.Tc) else: T_limits[CRC_HVAP_298] = (298.15, 298.15) if CASRN in phase_change.Hvap_data_Gharagheizi.index: methods.append(GHARAGHEIZI_HVAP_298) self.GHARAGHEIZI_HVAP_298_Hvap = float(phase_change.Hvap_data_Gharagheizi.at[CASRN, 'Hvap298']) if self.Tc is not None: T_limits[GHARAGHEIZI_HVAP_298] = (self.Tc*.001, self.Tc) else: T_limits[GHARAGHEIZI_HVAP_298] = (298.15, 298.15) if CASRN in phase_change.phase_change_data_Perrys2_150.index: methods.append(DIPPR_PERRY_8E) Tc, C1, C2, C3, C4, self.Perrys2_150_Tmin, self.Perrys2_150_Tmax = phase_change.phase_change_values_Perrys2_150[phase_change.phase_change_data_Perrys2_150.index.get_loc(CASRN)].tolist() self.Perrys2_150_coeffs = [Tc, C1, C2, C3, C4] T_limits[DIPPR_PERRY_8E] = (self.Perrys2_150_Tmin, self.Perrys2_150_Tmax) if CASRN in phase_change.phase_change_data_VDI_PPDS_4.index: Tc, A, B, C, D, E = phase_change.phase_change_values_VDI_PPDS_4[phase_change.phase_change_data_VDI_PPDS_4.index.get_loc(CASRN)].tolist() self.VDI_PPDS_coeffs = [A, B, C, D, E] self.VDI_PPDS_Tc = Tc methods.append(VDI_PPDS) T_limits[VDI_PPDS] = (0.1*self.VDI_PPDS_Tc, self.VDI_PPDS_Tc) if all((self.Tc, self.omega)): methods.extend(self.CSP_methods) for m in self.CSP_methods: T_limits[m] = (1e-4, self.Tc) if all((self.Tc, self.Pc)): methods.append(CLAPEYRON) T_limits[CLAPEYRON] = (1e-4, self.Tc) if all((self.Tb, self.Tc, self.Pc)): methods.extend(self.boiling_methods) for m in self.boiling_methods: T_limits[m] = (1e-4, self.Tc) self.all_methods.update(methods) @staticmethod def _method_indexes(): '''Returns a dictionary of method: index for all methods that use data files to retrieve constants. The use of this function ensures the data files are not loaded until they are needed. ''' return {COOLPROP : [CAS for CAS in coolprop_dict if (CAS not in CoolProp_failing_PT_flashes)], VDI_TABULAR: list(miscdata.VDI_saturation_dict.keys()), DIPPR_PERRY_8E: phase_change.phase_change_data_Perrys2_150.index, VDI_PPDS: phase_change.phase_change_data_VDI_PPDS_4.index, }
[docs] def calculate(self, T, method): r'''Method to calculate heat of vaporization of a liquid at temperature `T` with a given method. This method has no exception handling; see :obj:`T_dependent_property <thermo.utils.TDependentProperty.T_dependent_property>` for that. Parameters ---------- T : float Temperature at which to calculate heat of vaporization, [K] method : str Name of the method to use Returns ------- Hvap : float Heat of vaporization of the liquid at T, [J/mol] ''' if method == COOLPROP: Hvap = PropsSI('HMOLAR', 'T', T, 'Q', 1, self.CASRN) - PropsSI('HMOLAR', 'T', T, 'Q', 0, self.CASRN) elif method == DIPPR_PERRY_8E: Hvap = EQ106(T, *self.Perrys2_150_coeffs) # CSP methods elif method == VDI_PPDS: Hvap = PPDS12(T, self.VDI_PPDS_Tc, *self.VDI_PPDS_coeffs) elif method == ALIBAKHSHI: Hvap = Alibakhshi(T=T, Tc=self.Tc, C=self.Alibakhshi_C) elif method == MORGAN_KOBAYASHI: Hvap = MK(T, self.Tc, self.omega) elif method == SIVARAMAN_MAGEE_KOBAYASHI: Hvap = SMK(T, self.Tc, self.omega) elif method == VELASCO: Hvap = Velasco(T, self.Tc, self.omega) elif method == PITZER: Hvap = Pitzer(T, self.Tc, self.omega) elif method == CLAPEYRON: Psat = self.Psat(T) if callable(self.Psat) else self.Psat Zg = self.Zg(T, Psat) if callable(self.Zg) else self.Zg Zl = self.Zl(T, Psat) if callable(self.Zl) else self.Zl if Zg: if Zl: dZ = Zg-Zl else: dZ = Zg Hvap = Clapeyron(T, self.Tc, self.Pc, dZ=dZ, Psat=Psat) # CSP methods at Tb only elif method == RIEDEL: Hvap = Riedel(self.Tb, self.Tc, self.Pc) elif method == CHEN: Hvap = Chen(self.Tb, self.Tc, self.Pc) elif method == VETERE: Hvap = Vetere(self.Tb, self.Tc, self.Pc) elif method == LIU: Hvap = Liu(self.Tb, self.Tc, self.Pc) # Individual data point methods elif method == CRC_HVAP_TB: Hvap = self.CRC_HVAP_TB_Hvap elif method == CRC_HVAP_298: Hvap = self.CRC_HVAP_298 elif method == GHARAGHEIZI_HVAP_298: Hvap = self.GHARAGHEIZI_HVAP_298_Hvap else: return self._base_calculate(T, method) # Adjust with the watson equation if estimated at Tb or Tc only if method in self.boiling_methods or (self.Tc and method in (CRC_HVAP_TB, CRC_HVAP_298, GHARAGHEIZI_HVAP_298)): if method in self.boiling_methods: Tref = self.Tb elif method == CRC_HVAP_TB: Tref = self.CRC_HVAP_TB_Tb elif method in [CRC_HVAP_298, GHARAGHEIZI_HVAP_298]: Tref = 298.15 Hvap = Watson(T, Hvap, Tref, self.Tc, self.Watson_exponent) return Hvap
[docs] def test_method_validity(self, T, method): r'''Method to check the validity of a method. For CSP methods, the models are considered valid from 0 K to the critical point. For tabular data, extrapolation outside of the range is used if :obj:`tabular_extrapolation_permitted` is set; if it is, the extrapolation is considered valid for all temperatures. It is not guaranteed that a method will work or give an accurate prediction simply because this method considers the method valid. The constant methods **CRC_HVAP_TB**, **CRC_HVAP_298**, and **GHARAGHEIZI_HVAP** are adjusted for temperature dependence according to the :obj:`Watson <chemicals.phase_change.Watson>` equation, with a temperature exponent as set in :obj:`Watson_exponent`, usually regarded as 0.38. However, if Tc is not set, then the adjustment cannot be made. In that case the methods are considered valid for within 5 K of their boiling point or 298.15 K as appropriate. Parameters ---------- T : float Temperature at which to test the method, [K] method : str Name of the method to test Returns ------- validity : bool Whether or not a method is valid ''' validity = True if method == COOLPROP: if T <= self.CP_f.Tmin or T > self.CP_f.Tc: validity = False elif method == DIPPR_PERRY_8E: if T < self.Perrys2_150_Tmin or T > self.Perrys2_150_Tmax: return False elif method == CRC_HVAP_TB: if not self.Tc: if T < self.CRC_HVAP_TB_Tb - 5 or T > self.CRC_HVAP_TB_Tb + 5: validity = False else: validity = T <= self.Tc elif method in (CRC_HVAP_298, GHARAGHEIZI_HVAP_298): if not self.Tc: if T < 298.15 - 5 or T > 298.15 + 5: validity = False elif method == VDI_PPDS: validity = T <= self.VDI_PPDS_Tc elif method in self.boiling_methods: if T > self.Tc: validity = False elif method in self.CSP_methods: if T > self.Tc: validity = False elif method == ALIBAKHSHI: if T > self.Tc - 100: validity = False # elif (self.Tb and T < self.Tb - 50): # validity = False elif method == CLAPEYRON: if not (self.Psat and T < self.Tc): validity = False else: return super().test_method_validity(T, method) return validity
### Heat of Sublimation GHARAGHEIZI_HSUB_298 = 'GHARAGHEIZI_HSUB_298' GHARAGHEIZI_HSUB = 'GHARAGHEIZI_HSUB' CRC_HFUS_HVAP_TM = 'CRC_HFUS_HVAP_TM' # Gets Tm WEBBOOK_HSUB = 'WEBBOOK_HSUB' enthalpy_sublimation_methods = [WEBBOOK_HSUB, GHARAGHEIZI_HSUB, CRC_HFUS_HVAP_TM, GHARAGHEIZI_HSUB_298] """Holds all methods available for the EnthalpySublimation class, for use in iterating over them."""
[docs]class EnthalpySublimation(TDependentProperty): '''Class for dealing with heat of sublimation as a function of temperature. Consists of one temperature-dependent method based on the heat of sublimation at 298.15 K. Parameters ---------- CASRN : str, optional The CAS number of the chemical Tm : float, optional Normal melting temperature, [K] Tt : float, optional Triple point temperature, [K] Cpg : float or callable, optional Gaseous heat capacity at a given temperature or callable for the same, [J/mol/K] Cps : float or callable, optional Solid heat capacity at a given temperature or callable for the same, [J/mol/K] Hvap : float of callable, optional Enthalpy of Vaporization at a given temperature or callable for the same, [J/mol] load_data : bool, optional If False, do not load property coefficients from data sources in files [-] extrapolation : str or None None to not extrapolate; see :obj:`TDependentProperty <thermo.utils.TDependentProperty>` for a full list of all options, [-] method : str or None, optional If specified, use this method by default and do not use the ranked sorting; an exception is raised if this is not a valid method for the provided inputs, [-] Notes ----- To iterate over all methods, use the list stored in :obj:`enthalpy_sublimation_methods`. **WEBBOOK_HSUB**: Enthalpy of sublimation at a constant temperature of 298.15 K as given in [3]_. **GHARAGHEIZI_HSUB_298**: Enthalpy of sublimation at a constant temperature of 298 K as given in [1]_. **GHARAGHEIZI_HSUB**: Enthalpy of sublimation at a constant temperature of 298 K as given in [1]_ are adjusted using the solid and gas heat capacity functions to correct for any temperature. **CRC_HFUS_HVAP_TM**: Enthalpies of fusion in [1]_ are corrected to be enthalpies of sublimation by adding the enthalpy of vaporization at the fusion temperature, and then adjusted using the solid and gas heat capacity functions to correct for any temperature. See Also -------- References ---------- .. [1] Gharagheizi, Farhad, Poorandokht Ilani-Kashkouli, William E. Acree Jr., Amir H. Mohammadi, and Deresh Ramjugernath. "A Group Contribution Model for Determining the Sublimation Enthalpy of Organic Compounds at the Standard Reference Temperature of 298 K." Fluid Phase Equilibria 354 (September 25, 2013): 265-doi:10.1016/j.fluid.2013.06.046. .. [2] Haynes, W.M., Thomas J. Bruno, and David R. Lide. CRC Handbook of Chemistry and Physics, 95E. Boca Raton, FL: CRC press, 2014. .. [3] Shen, V.K., Siderius, D.W., Krekelberg, W.P., and Hatch, H.W., Eds., NIST WebBook, NIST, http://doi.org/10.18434/T4M88Q ''' name = 'Enthalpy of sublimation' units = 'J/mol' interpolation_T = None """No interpolation transformation by default.""" interpolation_property = None """No interpolation transformation by default.""" interpolation_property_inv = None """No interpolation transformation by default.""" tabular_extrapolation_permitted = True """Allow tabular extrapolation by default; values below 0 will be obtained at high temperatures.""" property_min = 0 """Mimimum valid value of heat of vaporization. A theoretical concept only.""" property_max = 1E6 """Maximum valid of heat of sublimation. A theoretical concept only.""" ranked_methods = [WEBBOOK_HSUB, GHARAGHEIZI_HSUB, CRC_HFUS_HVAP_TM, GHARAGHEIZI_HSUB_298] obj_references = pure_references = ('Cpg', 'Cps', 'Hvap') obj_references_types = pure_reference_types = (HeatCapacityGas, HeatCapacitySolid, EnthalpyVaporization) custom_args = ('Tm', 'Tt', 'Cpg', 'Cps', 'Hvap') def __init__(self, CASRN='', Tm=None, Tt=None, Cpg=None, Cps=None, Hvap=None, extrapolation='linear', **kwargs): self.CASRN = CASRN self.Tm = Tm self.Tt = Tt self.Cpg = Cpg self.Cps = Cps self.Hvap = Hvap super().__init__(extrapolation, **kwargs) def load_all_methods(self, load_data=True): r'''Method which picks out coefficients for the specified chemical from the various dictionaries and DataFrames storing it. All data is stored as attributes. This method also sets :obj:`Tmin`, :obj:`Tmax`, and :obj:`all_methods` as a set of methods for which the data exists for. Called on initialization only. See the source code for the variables at which the coefficients are stored. The coefficients can safely be altered once the class is initialized. This method can be called again to reset the parameters. ''' methods = [] self.T_limits = T_limits = {} CASRN = self.CASRN CASRN_int = None if not CASRN else CAS_to_int(CASRN) if load_data and CASRN: if CASRN_int in miscdata.webbook_data.index and not isnan(float(miscdata.webbook_data.at[CASRN_int, 'Hsub'])): methods.append(WEBBOOK_HSUB) self.webbook_Hsub = float(miscdata.webbook_data.at[CASRN_int, 'Hsub']) if self.Tm is not None: T_limits[WEBBOOK_HSUB] = (self.Tm, self.Tm) else: T_limits[WEBBOOK_HSUB] = (298.15, 298.15) if CASRN in phase_change.Hsub_data_Gharagheizi.index: methods.append(GHARAGHEIZI_HSUB_298) self.GHARAGHEIZI_Hsub = float(phase_change.Hsub_data_Gharagheizi.at[CASRN, 'Hsub']) if self.Cpg is not None and self.Cps is not None: methods.append(GHARAGHEIZI_HSUB) T_limits[GHARAGHEIZI_HSUB_298] = (298.15, 298.15) if CASRN in phase_change.Hfus_data_CRC.index: methods.append(CRC_HFUS_HVAP_TM) self.CRC_Hfus = float(phase_change.Hfus_data_CRC.at[CASRN, 'Hfus']) if self.Tm is not None: T_limits[CRC_HFUS_HVAP_TM] = (self.Tm, self.Tm) else: T_limits[CRC_HFUS_HVAP_TM] = (298.15, 298.15) self.all_methods = set(methods) @staticmethod def _method_indexes(): '''Returns a dictionary of method: index for all methods that use data files to retrieve constants. The use of this function ensures the data files are not loaded until they are needed. ''' return {}
[docs] def calculate(self, T, method): r'''Method to calculate heat of sublimation of a solid at temperature `T` with a given method. This method has no exception handling; see :obj:`T_dependent_property <thermo.utils.TDependentProperty.T_dependent_property>` for that. Parameters ---------- T : float Temperature at which to calculate heat of sublimation, [K] method : str Name of the method to use Returns ------- Hsub : float Heat of sublimation of the solid at T, [J/mol] ''' if method == GHARAGHEIZI_HSUB_298: Hsub = self.GHARAGHEIZI_Hsub elif method == WEBBOOK_HSUB: Hsub = self.webbook_Hsub elif method == GHARAGHEIZI_HSUB: T_base = 298.15 Hsub = self.GHARAGHEIZI_Hsub elif method == CRC_HFUS_HVAP_TM: T_base = self.Tm Hsub = self.CRC_Hfus try: Hsub += self.Hvap(T_base) except: Hsub += self.Hvap else: return self._base_calculate(T, method) if method in (GHARAGHEIZI_HSUB, CRC_HFUS_HVAP_TM): try: # Cpg, Cps = self.Cpg(T_base), self.Cps(T_base) # Hsub += (T - T_base)*(Cpg - Cps) Hsub += self.Cpg.T_dependent_property_integral(T_base, T) - self.Cps.T_dependent_property_integral(T_base, T) except: Hsub += (T - T_base)*(self.Cpg - self.Cps) return Hsub
[docs] def test_method_validity(self, T, method): r'''Method to check the validity of a method. For tabular data, extrapolation outside of the range is used if :obj:`tabular_extrapolation_permitted` is set; if it is, the extrapolation is considered valid for all temperatures. It is not guaranteed that a method will work or give an accurate prediction simply because this method considers the method valid. Parameters ---------- T : float Temperature at which to test the method, [K] method : str Name of the method to test Returns ------- validity : bool Whether or not a method is valid ''' validity = True if method in (GHARAGHEIZI_HSUB_298, GHARAGHEIZI_HSUB, CRC_HFUS_HVAP_TM, WEBBOOK_HSUB): validity = True else: return super().test_method_validity(T, method) return validity