From 5ec72a4777e4b0f23248bf29b2fd6b79b767632c Mon Sep 17 00:00:00 2001 From: Bob Myhill Date: Tue, 12 Nov 2024 13:52:53 +0000 Subject: [PATCH 1/5] updated calibrants --- burnman/calibrants/Decker_1971.py | 4 +- burnman/calibrants/Fei_2007.py | 41 ++++++++++++++++++- burnman/calibrants/Holmes_1989.py | 43 ++++++++++++++++++++ burnman/calibrants/Matsui_2012.py | 3 +- burnman/calibrants/Tsuchiya_2003.py | 61 +++++++++++++++++++++++++++++ burnman/calibrants/__init__.py | 4 ++ 6 files changed, 151 insertions(+), 5 deletions(-) create mode 100644 burnman/calibrants/Holmes_1989.py create mode 100644 burnman/calibrants/Tsuchiya_2003.py diff --git a/burnman/calibrants/Decker_1971.py b/burnman/calibrants/Decker_1971.py index 4eb9bc03..60a73018 100644 --- a/burnman/calibrants/Decker_1971.py +++ b/burnman/calibrants/Decker_1971.py @@ -33,7 +33,7 @@ def _pressure_Decker_NaCl(volume, temperature, params): + 9 * params["Kprime_0"] ** 2 - 63 * params["Kprime_0"] + 143 - ) + ) / 6.0 f = 0.5 * ((volume / params["V_0"]) ** (-2 / 3) - 1) K_T = ( params["K_0"] @@ -55,7 +55,7 @@ def _pressure_Decker_NaCl(volume, temperature, params): _params_Decker_NaCl = { "V_0": 2.7013e-05, "K_0": 23.7, - "Kprime_0": 5.04, # 4.91 in Matsui (2012), however 5.04 is required to reproduce values in Table 4. + "Kprime_0": 4.91, "Kprime_prime_0": -0.267, "Debye_0": 279.0, "grueneisen_0": 1.59, diff --git a/burnman/calibrants/Fei_2007.py b/burnman/calibrants/Fei_2007.py index ac8e529d..51572839 100644 --- a/burnman/calibrants/Fei_2007.py +++ b/burnman/calibrants/Fei_2007.py @@ -7,7 +7,7 @@ from burnman.eos.birch_murnaghan import BirchMurnaghanBase as BM3 from burnman.eos.mie_grueneisen_debye import MGDBase from burnman.classes.calibrant import Calibrant - +from burnman.utils.unitcell import molar_volume_from_unit_cell_volume """ Fei_2007 @@ -61,3 +61,42 @@ def _pressure_Fei_Pt(volume, temperature, params): } Calibrant.__init__(self, _pressure_Fei_Pt, "pressure", _params_Fei_Pt) + + +class Au(Calibrant): + """ + The Au pressure standard reported by + Fei et al. (2007; https://doi.org/10.1073/pnas.0609013104). + """ + + def __init__(self): + def _pressure_Fei_Au(volume, temperature, params): + + # Isothermal pressure (GPa) + pressure_model = Vinet() + P0 = pressure_model.pressure(params["T_0"], volume, params) + + # Thermal pressure + thermal_model = MGDBase() + Pth0 = thermal_model._thermal_pressure(params["T_0"], volume, params) + Pth = thermal_model._thermal_pressure(temperature, volume, params) + + # Total pressure + P = P0 + Pth - Pth0 + + return P + + _params_Fei_Au = { + "V_0": molar_volume_from_unit_cell_volume(67.850, 4.0), + "K_0": 167.0e9, + "Kprime_0": 6.00, + "Debye_0": 170.0, + "grueneisen_0": 2.97, + "q_0": 0.6, + "n": 1.0, + "T_0": 300.0, + "P_0": 0.0, + "Z": 4.0, + } + + Calibrant.__init__(self, _pressure_Fei_Au, "pressure", _params_Fei_Au) diff --git a/burnman/calibrants/Holmes_1989.py b/burnman/calibrants/Holmes_1989.py new file mode 100644 index 00000000..7480e6aa --- /dev/null +++ b/burnman/calibrants/Holmes_1989.py @@ -0,0 +1,43 @@ +# This file is part of BurnMan - a thermoelastic and thermodynamic toolkit for +# the Earth and Planetary Sciences +# Copyright (C) 2012 - 2024 by the BurnMan team, released under the GNU +# GPL v2 or later. + +""" +Holmes_1989 +^^^^^^^^^^^ +""" + +from burnman.classes.calibrant import Calibrant +import numpy as np +from burnman.utils.unitcell import molar_volume_from_unit_cell_volume + + +class Pt(Calibrant): + """ + The Pt pressure standard reported by + Holmes et al. (1989; https://doi.org/10.1063/1.344177). + """ + + def __init__(self): + def _pressure(volume, temperature, params): + X = np.power(volume / params["V_0"], 1.0 / 3.0) + P_300 = ( + 3.0 + * params["beta_T"] + * (1.0 - X) + / (X * X) + * np.exp(params["eta"] * (1.0 - X)) + ) + + return P_300 + params["alpha_T"] * params["beta_T"] * (temperature - 300.0) + + _params = { + "V_0": molar_volume_from_unit_cell_volume(60.38, 4.0), + "beta_T": 798.31e9 / 3.0, + "eta": 7.2119, + "beta_prime_T": (7.2119 / 1.5) + 1.0, + "alpha_T": 2.61e-5, + } + + Calibrant.__init__(self, _pressure, "pressure", _params) diff --git a/burnman/calibrants/Matsui_2012.py b/burnman/calibrants/Matsui_2012.py index c4437183..1b712ac5 100644 --- a/burnman/calibrants/Matsui_2012.py +++ b/burnman/calibrants/Matsui_2012.py @@ -3,7 +3,6 @@ # Copyright (C) 2012 - 2024 by the BurnMan team, released under the GNU # GPL v2 or later. -from burnman.eos.vinet import Vinet from burnman.eos.mie_grueneisen_debye import MGDBase from burnman.classes.calibrant import Calibrant @@ -30,7 +29,7 @@ def _pressure_Matsui_NaCl(volume, temperature, params): + 9 * params["Kprime_0"] ** 2 - 63 * params["Kprime_0"] + 143 - ) + ) / 6.0 f = 0.5 * ((volume / params["V_0"]) ** (-2 / 3) - 1) K_T = ( params["K_0"] diff --git a/burnman/calibrants/Tsuchiya_2003.py b/burnman/calibrants/Tsuchiya_2003.py new file mode 100644 index 00000000..23d2ad18 --- /dev/null +++ b/burnman/calibrants/Tsuchiya_2003.py @@ -0,0 +1,61 @@ +# This file is part of BurnMan - a thermoelastic and thermodynamic toolkit for +# the Earth and Planetary Sciences +# Copyright (C) 2012 - 2024 by the BurnMan team, released under the GNU +# GPL v2 or later. + +import numpy as np +from burnman.classes.calibrant import Calibrant +from scipy.interpolate import RegularGridInterpolator + +""" +Tsuchiya_2003 +^^^^^^^^^^^^^ +""" + + +class Au(Calibrant): + """ + The Au pressure standard reported by + Tsuchiya (2003; https://doi.org/10.1029/2003JB002446). + """ + + def __init__(self): + + grid_compressions = np.linspace(0.0, 0.34, 18) + grid_temperatures = np.array([300.0, 500.0, 1000.0, 1500.0, 2000.0, 2500.0]) + grid_pressures = np.array( + [ + [0.00, 1.52, 5.35, 9.19, 13.04, 16.88], + [3.55, 5.04, 8.78, 12.54, 16.29, 20.05], + [7.68, 9.13, 12.79, 16.45, 20.12, 23.79], + [12.42, 13.83, 17.40, 20.98, 24.56, 28.14], + [17.86, 19.23, 22.71, 26.20, 29.70, 33.19], + [24.12, 25.46, 28.85, 32.25, 35.66, 39.07], + [31.30, 32.60, 35.90, 39.22, 42.54, 45.86], + [39.52, 40.78, 43.99, 47.22, 50.45, 53.68], + [48.94, 50.17, 53.29, 56.43, 59.58, 62.72], + [59.76, 60.95, 63.98, 67.03, 70.09, 73.15], + [72.11, 73.26, 76.21, 79.18, 82.14, 85.11], + [86.36, 87.48, 90.34, 93.22, 96.10, 98.98], + [102.65, 103.73, 106.50, 109.29, 112.08, 114.88], + [121.38, 122.42, 125.10, 127.80, 130.51, 133.21], + [142.98, 143.99, 146.58, 149.19, 151.81, 154.43], + [167.77, 168.74, 171.24, 173.77, 176.30, 178.83], + [196.48, 197.41, 199.83, 202.26, 204.70, 207.15], + [229.56, 230.45, 232.78, 235.13, 237.49, 239.84], + ] + ) + + self.interpolate_pressure = RegularGridInterpolator( + (grid_compressions, grid_temperatures), + grid_pressures, + bounds_error=False, + fill_value=None, + method="cubic", + ) + + def _pressure(volume, temperature, params): + compression = 1.0 - volume / params["V_0"] + return self.interpolate_pressure([compression, temperature])[0] * 1.0e9 + + Calibrant.__init__(self, _pressure, "pressure", {"V_0": 10.207e-06}) diff --git a/burnman/calibrants/__init__.py b/burnman/calibrants/__init__.py index 65104b82..3ceca19f 100644 --- a/burnman/calibrants/__init__.py +++ b/burnman/calibrants/__init__.py @@ -20,6 +20,7 @@ - :mod:`~burnman.calibrants.Dubrovinsky_1998` - :mod:`~burnman.calibrants.Fei_2007` - :mod:`~burnman.calibrants.Fei_2016` + - :mod:`~burnman.calibrants.Holmes_1989` - :mod:`~burnman.calibrants.Huang_2016` - :mod:`~burnman.calibrants.LeGodec_2000` - :mod:`~burnman.calibrants.Litasov_2013` @@ -35,6 +36,7 @@ - :mod:`~burnman.calibrants.Speziale_2001` - :mod:`~burnman.calibrants.Tange_2009` - :mod:`~burnman.calibrants.Tateno_2019` + - :mod:`~burnman.calibrants.Tsuchiya_2003` - :mod:`~burnman.calibrants.Walker_2002` - :mod:`~burnman.calibrants.Zeng_2010` - :mod:`~burnman.calibrants.Zha_2004` @@ -56,6 +58,7 @@ from . import Dubrovinsky_1998 from . import Fei_2007 from . import Fei_2016 +from . import Holmes_1989 from . import Huang_2016 from . import LeGodec_2000 from . import Litasov_2013 @@ -71,6 +74,7 @@ from . import Speziale_2001 from . import Tange_2009 from . import Tateno_2019 +from . import Tsuchiya_2003 from . import Walker_2002 from . import Zeng_2010 from . import Zha_2004 From 85e3cba457a7edd11c64f608175d54f6f6272544 Mon Sep 17 00:00:00 2001 From: Bob Myhill Date: Tue, 12 Nov 2024 13:55:11 +0000 Subject: [PATCH 2/5] improve pretty print --- burnman/utils/misc.py | 10 ++++++---- 1 file changed, 6 insertions(+), 4 deletions(-) diff --git a/burnman/utils/misc.py b/burnman/utils/misc.py index cfb36d6b..6b7a7baa 100644 --- a/burnman/utils/misc.py +++ b/burnman/utils/misc.py @@ -70,7 +70,7 @@ def flatten(arr): ) -def pretty_print_values(popt, pcov, params): +def pretty_print_values(popt, pcov, params, extra_decimal_places=0): """ Takes a numpy array of parameters, the corresponding covariance matrix and a set of parameter names and prints the parameters and @@ -78,8 +78,10 @@ def pretty_print_values(popt, pcov, params): in a nice text based format. """ for i, p in enumerate(params): - p_rnd = round_to_n(popt[i], np.sqrt(pcov[i][i]), 1) - c_rnd = round_to_n(np.sqrt(pcov[i][i]), np.sqrt(pcov[i][i]), 1) + p_rnd = round_to_n(popt[i], np.sqrt(pcov[i][i]), 1 + extra_decimal_places) + c_rnd = round_to_n( + np.sqrt(pcov[i][i]), np.sqrt(pcov[i][i]), 1 + extra_decimal_places + ) if p_rnd != 0.0: p_expnt = np.floor(np.log10(np.abs(p_rnd))) @@ -87,7 +89,7 @@ def pretty_print_values(popt, pcov, params): p_expnt = 0.0 scale = np.power(10.0, p_expnt) - nd = p_expnt - np.floor(np.log10(np.abs(c_rnd))) + nd = p_expnt - np.floor(np.log10(np.abs(c_rnd))) + extra_decimal_places print( "{0:s}: ({1:{4}{5}f} +/- {2:{4}{5}f}) x {3:.0e}".format( p, p_rnd / scale, c_rnd / scale, scale, 0, (nd) / 10.0 From 187cce3ddf935ea08c763a3c840e6616162f7940 Mon Sep 17 00:00:00 2001 From: Bob Myhill Date: Tue, 12 Nov 2024 13:55:31 +0000 Subject: [PATCH 3/5] improve docstring --- burnman/classes/anisotropicsolution.py | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/burnman/classes/anisotropicsolution.py b/burnman/classes/anisotropicsolution.py index 28681cfc..b6fc15f0 100644 --- a/burnman/classes/anisotropicsolution.py +++ b/burnman/classes/anisotropicsolution.py @@ -599,7 +599,7 @@ def _d2Fdqdz(self): @material_property def _d2Fdqdq_fixed_epsT_pinv(self): """ - The second derivative of the Helmholtz energy + The inverse of the second derivative of the Helmholtz energy with respect to the structure parameters at constant strain and temperature. Often referred to as the susceptibility matrix. From 18672a98aad685b7fd4fc45c8c0a08bbf002d056 Mon Sep 17 00:00:00 2001 From: Bob Myhill Date: Tue, 12 Nov 2024 15:55:58 +0000 Subject: [PATCH 4/5] update example output --- misc/ref/example_calibrants.py.out | 14 +++++++------- 1 file changed, 7 insertions(+), 7 deletions(-) diff --git a/misc/ref/example_calibrants.py.out b/misc/ref/example_calibrants.py.out index 06eebe13..d0f96700 100644 --- a/misc/ref/example_calibrants.py.out +++ b/misc/ref/example_calibrants.py.out @@ -3,15 +3,15 @@ Volume: 19.0287 +/- 0.1903 m^3/mol Temperature: 1073.15 +/- 10.0 K Pressure estimated using the Decker equation of state: -21.6417 GPa +21.7355 GPa Pressure with propagated uncertainty estimated using the Decker equation of state: -21.6417 +/- 1.0010 GPa +21.7355 +/- 1.0254 GPa PVT correlation matrix: -[[ 1. -0.99955588 0.02979992] - [-0.99955588 1. 0. ] - [ 0.02979992 0. 1. ]] +[[ 1. -0.99957671 0.02909288] + [-0.99957671 1. 0. ] + [ 0.02909288 0. 1. ]] The uncertainties and correlation matrix only take into account the uncertainties in the measured volume and temperature, not the uncertainties in the calibrated equation of state. @@ -19,8 +19,8 @@ not the uncertainties in the calibrated equation of state. Consistency checks: Volume: 19.0287 +/- 0.1903 m^3/mol Temperature: 1073.15 +/- 10.0000 K -V-T correlation: -0.000000 +V-T correlation: 0.000000 Result of conversion from Decker calibration to Decker calibration: -21.6417 +/- 1.0010 GPa +21.7355 +/- 1.0254 GPa (This should be the same as the pressures above) From 523e7f85ab41a838ace218761f1d43e6de06638f Mon Sep 17 00:00:00 2001 From: Bob Myhill Date: Tue, 12 Nov 2024 17:11:03 +0000 Subject: [PATCH 5/5] added first calibrant benchmarks --- burnman/calibrants/Fei_2007.py | 23 +++---- burnman/calibrants/Holmes_1989.py | 4 +- misc/benchmarks/calibrant_benchmarks.py | 67 +++++++++++++++++++++ misc/benchmarks/figures/Fei_2007_Au.png | Bin 0 -> 586872 bytes misc/benchmarks/figures/Fei_2007_Pt.png | Bin 0 -> 363152 bytes misc/benchmarks/figures/Holmes_1989_Pt.png | Bin 0 -> 59018 bytes misc/ref/calibrant_benchmarks.py.out | 3 + 7 files changed, 81 insertions(+), 16 deletions(-) create mode 100644 misc/benchmarks/calibrant_benchmarks.py create mode 100644 misc/benchmarks/figures/Fei_2007_Au.png create mode 100644 misc/benchmarks/figures/Fei_2007_Pt.png create mode 100644 misc/benchmarks/figures/Holmes_1989_Pt.png create mode 100644 misc/ref/calibrant_benchmarks.py.out diff --git a/burnman/calibrants/Fei_2007.py b/burnman/calibrants/Fei_2007.py index 51572839..56e77bbb 100644 --- a/burnman/calibrants/Fei_2007.py +++ b/burnman/calibrants/Fei_2007.py @@ -33,22 +33,14 @@ def _pressure_Fei_Pt(volume, temperature, params): Pth0 = thermal_model._thermal_pressure(params["T_0"], volume, params) Pth = thermal_model._thermal_pressure(temperature, volume, params) - # Electronic pressure - Pel = ( - 1.1916e-15 * temperature**4.0 - - 1.4551e-11 * temperature**3.0 - + 1.6209e-07 * temperature**2.0 - + 1.8269e-4 * temperature - - 0.069 - ) * 1.0e09 - # Total pressure - P = P0 + Pth - Pth0 + Pel + P = P0 + Pth - Pth0 return P + Z = 4.0 _params_Fei_Pt = { - "V_0": 9.0904e-06, + "V_0": molar_volume_from_unit_cell_volume(60.38, Z), "K_0": 277.0e9, "Kprime_0": 5.08, "Debye_0": 230.0, @@ -57,7 +49,7 @@ def _pressure_Fei_Pt(volume, temperature, params): "n": 1.0, "T_0": 300.0, "P_0": 0.0, - "Z": 4.0, + "Z": Z, } Calibrant.__init__(self, _pressure_Fei_Pt, "pressure", _params_Fei_Pt) @@ -86,17 +78,18 @@ def _pressure_Fei_Au(volume, temperature, params): return P + Z = 4.0 _params_Fei_Au = { - "V_0": molar_volume_from_unit_cell_volume(67.850, 4.0), + "V_0": molar_volume_from_unit_cell_volume(67.850, Z), "K_0": 167.0e9, - "Kprime_0": 6.00, + "Kprime_0": 6.0, "Debye_0": 170.0, "grueneisen_0": 2.97, "q_0": 0.6, "n": 1.0, "T_0": 300.0, "P_0": 0.0, - "Z": 4.0, + "Z": Z, } Calibrant.__init__(self, _pressure_Fei_Au, "pressure", _params_Fei_Au) diff --git a/burnman/calibrants/Holmes_1989.py b/burnman/calibrants/Holmes_1989.py index 7480e6aa..b0efb85f 100644 --- a/burnman/calibrants/Holmes_1989.py +++ b/burnman/calibrants/Holmes_1989.py @@ -32,12 +32,14 @@ def _pressure(volume, temperature, params): return P_300 + params["alpha_T"] * params["beta_T"] * (temperature - 300.0) + Z = 4.0 _params = { - "V_0": molar_volume_from_unit_cell_volume(60.38, 4.0), + "V_0": molar_volume_from_unit_cell_volume(60.38, Z), "beta_T": 798.31e9 / 3.0, "eta": 7.2119, "beta_prime_T": (7.2119 / 1.5) + 1.0, "alpha_T": 2.61e-5, + "Z": Z, } Calibrant.__init__(self, _pressure, "pressure", _params) diff --git a/misc/benchmarks/calibrant_benchmarks.py b/misc/benchmarks/calibrant_benchmarks.py new file mode 100644 index 00000000..7ecb40d6 --- /dev/null +++ b/misc/benchmarks/calibrant_benchmarks.py @@ -0,0 +1,67 @@ +from __future__ import absolute_import + +import numpy as np +import matplotlib.pyplot as plt +import matplotlib.image as mpimg +from burnman import calibrants +from burnman.tools.unitcell import molar_volume_from_unit_cell_volume + + +def make_VPT_figure(calibrant, temperatures, figure, figure_extent, plot_extent): + name = str(calibrant).split(" ")[0][1:] + print(f"Checking {name}...") + + fig = plt.figure(figsize=(6, 4)) + fig.suptitle(f"{name}") + + ax = [fig.add_subplot(1, 1, 1)] + + fig1 = mpimg.imread(figure) + ax[0].imshow(fig1, extent=figure_extent, aspect="auto") + + pressures = np.linspace(plot_extent[0] * 1.0e9, plot_extent[1] * 1.0e9, 101) + volumes = np.empty_like(pressures) + for T in temperatures: + for i, P in enumerate(pressures): + volumes[i] = calibrant.volume(P, T) / molar_volume_from_unit_cell_volume( + 1.0, calibrant.params["Z"] + ) + + plt.plot(pressures / 1.0e9, volumes) + + ax[0].set_xlim(plot_extent[0], plot_extent[1]) + ax[0].set_ylim(plot_extent[2], plot_extent[3]) + plt.show() + + +def check_figures(): + make_VPT_figure( + calibrants.Fei_2007.Au(), + [300.0, 1473.0, 2173.0], + "figures/Fei_2007_Au.png", + [0, 139.5, 50, 68], + [0, 139.5, 50, 68], + ) + + make_VPT_figure( + calibrants.Fei_2007.Pt(), + [300.0, 1473.0, 1873.0], + "figures/Fei_2007_Pt.png", + [-2, 125, 46.98, 61.02], + [0, 125, 47, 61], + ) + + V_0 = calibrants.Holmes_1989.Pt().params[ + "V_0" + ] / molar_volume_from_unit_cell_volume(1.0, 4) + make_VPT_figure( + calibrants.Holmes_1989.Pt(), + [300.0], + "figures/Holmes_1989_Pt.png", + [0, 600, 0.6 * V_0, 1.1 * V_0], + [0, 600, 0.6 * V_0, 1.1 * V_0], + ) + + +if __name__ == "__main__": + check_figures() diff --git a/misc/benchmarks/figures/Fei_2007_Au.png b/misc/benchmarks/figures/Fei_2007_Au.png new file mode 100644 index 0000000000000000000000000000000000000000..5bad1efe20abf3c16eaac8d45ff13c1e38777935 GIT binary patch literal 586872 zcmZs?15~78-v^xS+N{mB+1PB`_J+;2ZM)63H*K!1rp>m!)n*Ma4^7?Wpf%EFfb$mD^XD;X;D#92Pb2+%T z3agExaT7X=$Q7@@7e|LS*QZ}f<)Zy@+H>7K#>M9U#&eU;b_imC40xig)yfIB221$z zJAE(=ig}o-j9F@3=+jmJfN z)XMd0DImdGI7itKJn)o6Yfw$7(G6)JgmS?f?Cmbh1O_Y6R)q*y23dVAR#18I{Ac9| zX7-%e!s<;Jt_v|}CNK{j%3kx2A2unuBzcbp5HzeyDcChyEi&3xmy-v~GY}l>Xc$-# zOc){r;U1m5Ba~%I+1Z7SPb1$`%^f$$fh0P_^Rf!Hg8 zPy&0b6Rj?E1v|c;hIovz{fo7uhlb*`R7c)!oX*(f#k-P|nS?5Fbz@Sk1_dc~7V};_ltAD#EwTvJF!Z 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index 00000000..7cffaede --- /dev/null +++ b/misc/ref/calibrant_benchmarks.py.out @@ -0,0 +1,3 @@ +Checking burnman.calibrants.Fei_2007.Au... +Checking burnman.calibrants.Fei_2007.Pt... +Checking burnman.calibrants.Holmes_1989.Pt...

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