pybamm-team#1048 added base Landesfeind functions

pybamm/input/parameters/lithium-ion/electrolytes/lipf6_base_Landesfeind2019/README.md

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+# LiPF6 in solvent_X electrolyte parameters
+
+Functional forms for which parameters are fitted for a LiPF6 in solvent_X electrolyte, from the paper
+
+> Johannes Landesfeind and Hubert A. Gasteiger, ["Temperature and Concentration Dependence of the Ionic Transport Properties of Lithium-Ion Battery Electrolytes."](https://iopscience.iop.org/article/10.1149/2.0571912jes) Journal of the Electrochemical Society 166 (2019): A3079.

pybamm/input/parameters/lithium-ion/electrolytes/lipf6_base_Landesfeind2019/__init__.py

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+from .electrolyte_conductivity_base_Landesfeind2019 import (
+    electrolyte_conductivity_base_Landesfeind2019,
+)
+from .electrolyte_diffusivity_base_Landesfeind2019 import (
+    electrolyte_diffusivity_base_Landesfeind2019,
+)
+from .electrolyte_TDF_base_Landesfeind2019 import electrolyte_TDF_base_Landesfeind2019
+from .electrolyte_transference_number_base_Landesfeind2019 import (
+    electrolyte_transference_number_base_Landesfeind2019,
+)

pybamm/input/parameters/lithium-ion/electrolytes/lipf6_base_Landesfeind2019/electrolyte_TDF_base_Landesfeind2019.py

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+def electrolyte_TDF_base_Landesfeind2019(c_e, T, coeffs):
+    """
+    Thermodynamic factor (TDF) of LiPF6 in solvent_X as a function of ion concentration
+    and temperature. The data comes from [1].
+    References
+    ----------
+    .. [1] Landesfeind, J. and Gasteiger, H.A., 2019. Temperature and Concentration
+    Dependence of the Ionic Transport Properties of Lithium-Ion Battery Electrolytes.
+    Journal of The Electrochemical Society, 166(14), pp.A3079-A3097.
+    ----------
+    c_e: :class:`pybamm.Symbol`
+        Dimensional electrolyte concentration
+    T: :class:`pybamm.Symbol`
+        Dimensional temperature
+    coeffs: :class:`pybamm.Symbol`
+        Fitting parameter coefficients
+    Returns
+    -------
+    :class:`pybamm.Symbol`
+        Electrolyte thermodynamic factor
+    """
+    c = c_e / 1000  # mol.m-3 -> mol.l
+    p1, p2, p3, p4, p5, p6, p7, p8, p9 = coeffs
+    tdf = (
+        p1
+        + p2 * c
+        + p3 * T
+        + p4 * c ** 2
+        + p5 * c * T
+        + p6 * T ** 2
+        + p7 * c ** 3
+        + p8 * c ** 2 * T
+        + p9 * c * T ** 2
+    )
+
+    return tdf

pybamm/input/parameters/lithium-ion/electrolytes/lipf6_base_Landesfeind2019/electrolyte_conductivity_base_Landesfeind2019.py

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+from pybamm import exp, sqrt
+
+
+def electrolyte_conductivity_base_Landesfeind2019(c_e, T, coeffs):
+    """
+    Conductivity of LiPF6 in solvent_X as a function of ion concentration and
+    temperature. The data comes from [1].
+    References
+    ----------
+    .. [1] Landesfeind, J. and Gasteiger, H.A., 2019. Temperature and Concentration
+    Dependence of the Ionic Transport Properties of Lithium-Ion Battery Electrolytes.
+    Journal of The Electrochemical Society, 166(14), pp.A3079-A3097.
+    ----------
+    c_e: :class:`pybamm.Symbol`
+        Dimensional electrolyte concentration
+    T: :class:`pybamm.Symbol`
+        Dimensional temperature
+    coeffs: :class:`pybamm.Symbol`
+        Fitting parameter coefficients
+    Returns
+    -------
+    :class:`pybamm.Symbol`
+        Electrolyte conductivity
+    """
+    c = c_e / 1000  # mol.m-3 -> mol.l
+    p1, p2, p3, p4, p5, p6 = coeffs
+    A = p1 * (1 + (T - p2))
+    B = 1 + p3 * sqrt(c) + p4 * (1 + p5 * exp(1000 / T)) * c
+    C = 1 + c ** 4 * (p6 * exp(1000 / T))
+    sigma_e = A * c * B / C  # mS.cm-1
+
+    return sigma_e / 10

pybamm/input/parameters/lithium-ion/electrolytes/lipf6_base_Landesfeind2019/electrolyte_diffusivity_base_Landesfeind2019.py

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+from pybamm import exp
+
+
+def electrolyte_diffusivity_base_Landesfeind2019(c_e, T, coeffs):
+    """
+    Diffusivity of LiPF6 in solvent_X as a function of ion concentration and
+    temperature. The data comes from [1].
+    References
+    ----------
+    .. [1] Landesfeind, J. and Gasteiger, H.A., 2019. Temperature and Concentration
+    Dependence of the Ionic Transport Properties of Lithium-Ion Battery Electrolytes.
+    Journal of The Electrochemical Society, 166(14), pp.A3079-A3097.
+    ----------
+    c_e: :class:`pybamm.Symbol`
+        Dimensional electrolyte concentration
+    T: :class:`pybamm.Symbol`
+        Dimensional temperature
+    coeffs: :class:`pybamm.Symbol`
+        Fitting parameter coefficients
+    Returns
+    -------
+    :class:`pybamm.Symbol`
+        Electrolyte diffusivity
+    """
+    c = c_e / 1000  # mol.m-3 -> mol.l
+    p1, p2, p3, p4 = coeffs
+    A = p1 * exp(p2 * c)
+    B = exp(p3 / T)
+    C = exp(p4 * c / T)
+    D_e = A * B * C * 1e-10  # m2/s
+
+    return D_e

pybamm/input/parameters/lithium-ion/electrolytes/lipf6_base_Landesfeind2019/electrolyte_transference_number_base_Landesfeind2019.py

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+def electrolyte_transference_number_base_Landesfeind2019(c_e, T, coeffs):
+    """
+    Transference number of LiPF6 in solvent_X as a function of ion concentration and
+    temperature. The data comes from [1].
+    References
+    ----------
+    .. [1] Landesfeind, J. and Gasteiger, H.A., 2019. Temperature and Concentration
+    Dependence of the Ionic Transport Properties of Lithium-Ion Battery Electrolytes.
+    Journal of The Electrochemical Society, 166(14), pp.A3079-A3097.
+    ----------
+    c_e: :class:`pybamm.Symbol`
+        Dimensional electrolyte concentration
+    T: :class:`pybamm.Symbol`
+        Dimensional temperature
+    coeffs: :class:`pybamm.Symbol`
+        Fitting parameter coefficients
+    Returns
+    -------
+    :class:`pybamm.Symbol`
+        Electrolyte transference number
+    """
+    c = c_e / 1000  # mol.m-3 -> mol.l
+    p1, p2, p3, p4, p5, p6, p7, p8, p9 = coeffs
+    tplus = (
+        p1
+        + p2 * c
+        + p3 * T
+        + p4 * c ** 2
+        + p5 * c * T
+        + p6 * T ** 2
+        + p7 * c ** 3
+        + p8 * c ** 2 * T
+        + p9 * c * T ** 2
+    )
+
+    return tplus