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@lan496
Created January 25, 2019 03:08
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{
"cells": [
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [],
"source": [
"from pymatgen.ext.matproj import MPRester\n",
"from pymatgen.analysis.phase_diagram import PhaseDiagram, CompoundPhaseDiagram, PDPlotter, PDEntry\n",
"from pymatgen.core.composition import Composition\n",
"%matplotlib inline"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## query entries"
]
},
{
"cell_type": "code",
"execution_count": 46,
"metadata": {},
"outputs": [],
"source": [
"elements = [\"Li\", \"P\", \"O\"]\n",
"with MPRester() as m:\n",
" entries = m.get_entries_in_chemsys(elements)"
]
},
{
"cell_type": "code",
"execution_count": 47,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"ComputedEntry mp-51 - Li1\n",
"Energy = -1.9051\n",
"Correction = 0.0000\n",
"Parameters:\n",
"run_type = GGA\n",
"is_hubbard = False\n",
"pseudo_potential = {'functional': 'PBE', 'labels': ['Li_sv'], 'pot_type': 'paw'}\n",
"hubbards = {}\n",
"potcar_symbols = ['PBE Li_sv']\n",
"oxide_type = None\n",
"Data:\n",
"oxide_type = None"
]
},
"execution_count": 47,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"entries[0]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## draw phase diagram"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [],
"source": [
"pd = PhaseDiagram(entries)"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 576x432 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plotter = PDPlotter(pd, show_unstable=1e-3)\n",
"plotter.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## draw compound phase diagram"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [],
"source": [
"terminal_compositions = [Composition('Li2O'), Composition('P2O5')]\n",
"cpd = CompoundPhaseDiagram(entries, terminal_compositions,\n",
" normalize_terminal_compositions=True)"
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 576x432 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plotter = PDPlotter(cpd, show_unstable=1e-2)\n",
"plotter.show()"
]
},
{
"cell_type": "code",
"execution_count": 41,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"{TransformedPDEntry Xf0+18.0 Xg0+42.0 with original composition Li12 O36 P12, E = -428.6151,\n",
" TransformedPDEntry Xf0+24.0 Xg0+28.0 with original composition Li16 P8 O28, E = -355.4141,\n",
" TransformedPDEntry Xf0+3 with original composition O1 Li2, E = -14.9660,\n",
" TransformedPDEntry Xf0+9 Xg0+7 with original composition Li6 O8 P2, E = -106.0250,\n",
" TransformedPDEntry Xg0+14 with original composition O10 P4, E = -105.3868}"
]
},
"execution_count": 41,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"cpd.stable_entries"
]
},
{
"cell_type": "code",
"execution_count": 70,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[TransformedPDEntry Xg0+7 with original composition P2 O5, E = -47.9683,\n",
" TransformedPDEntry Xg0+28 with original composition P8 O20, E = -189.9143,\n",
" TransformedPDEntry Xg0+28 with original composition P8 O20, E = -210.4160,\n",
" TransformedPDEntry Xg0+28 with original composition O20 P8, E = -210.6302,\n",
" TransformedPDEntry Xf0+12 with original composition Li8 O4, E = -58.8387,\n",
" TransformedPDEntry Xf0+30.0 Xg0+70 with original composition Li20 P20 O60, E = -714.2938,\n",
" TransformedPDEntry Xf0+12.0 Xg0+14.0 with original composition Li8 P4 O14, E = -161.5282,\n",
" TransformedPDEntry Xf0+24.0 Xg0+28.0 with original composition Li16 P8 O28, E = -354.4824,\n",
" TransformedPDEntry Xf0+12.0 Xg0+14.0 with original composition Li8 O14 P4, E = -177.7065,\n",
" TransformedPDEntry Xf0+18 Xg0+14.0 with original composition Li12 O16 P4, E = -212.0152]"
]
},
"execution_count": 70,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"cpd.unstable_entries"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## decompose with convex hull entries"
]
},
{
"cell_type": "code",
"execution_count": 77,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"TransformedPDEntry Xf0+9 Xg0+7 with original composition Li6 P2 O8, E = -106.0250\n",
"TransformedPDEntry Xf0+12.0 Xg0+7 with original composition Li8 P2 O9, E = -110.9910\n",
"TransformedPDEntry Xf0+12.0 Xg0+7 with original composition Li8 P2 O9, E = -130.9910\n"
]
}
],
"source": [
"Li3PO4_entry = PDEntry(Composition(\"Li6 P2 O8\"), -106.0250)\n",
"unstable_Li8P2O9_entry = PDEntry(Composition(\"Li8 P2 O9\"), -106.0250 - 14.9660 + 10)\n",
"virtual_Li8P2O9_entry = PDEntry(Composition(\"Li8 P2 O9\"), -106.0250 - 14.9660 - 10)\n",
"decomp_entries = [Li3PO4_entry, unstable_Li8P2O9_entry, virtual_Li8P2O9_entry]\n",
"# transform entries to the composition coordinate in the terminal compositions\n",
"tentries, _ = cpd.transform_entries(decomp_entries, cpd.terminal_compositions)\n",
"for te in tentries:\n",
" print(te)"
]
},
{
"cell_type": "code",
"execution_count": 84,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"{TransformedPDEntry Xf0+9 Xg0+7 with original composition Li6 O8 P2, E = -106.0250: 1.0}\n",
"2.8068749990950437e-06\n"
]
}
],
"source": [
"# decompose stable entry\n",
"decomp, e_above_ch = cpd.get_decomp_and_e_above_hull(tentries[0], allow_negative=False)\n",
"print(decomp)\n",
"print(e_above_ch)"
]
},
{
"cell_type": "code",
"execution_count": 83,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"{TransformedPDEntry Xf0+9 Xg0+7 with original composition Li6 O8 P2, E = -106.0250: 0.8421052631578964, TransformedPDEntry Xf0+3 with original composition O1 Li2, E = -14.9660: 0.15789473684210364}\n",
"0.5263191105263099\n"
]
}
],
"source": [
"# decompose unstable entry\n",
"decomp, e_above_ch = cpd.get_decomp_and_e_above_hull(tentries[1], allow_negative=False)\n",
"print(decomp)\n",
"print(e_above_ch)"
]
},
{
"cell_type": "code",
"execution_count": 82,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"{TransformedPDEntry Xf0+9 Xg0+7 with original composition Li6 O8 P2, E = -106.0250: 0.8421052631578964, TransformedPDEntry Xf0+3 with original composition O1 Li2, E = -14.9660: 0.15789473684210364}\n",
"-0.5263124684210583\n"
]
}
],
"source": [
"# decompose virtual stable entry\n",
"decomp, e_above_ch = cpd.get_decomp_and_e_above_hull(tentries[2], allow_negative=True)\n",
"print(decomp)\n",
"print(e_above_ch)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## manually prepare entries"
]
},
{
"cell_type": "code",
"execution_count": 42,
"metadata": {},
"outputs": [],
"source": [
"Li2O_entry = PDEntry(Composition(\"Li2 O\"), -14.9660, name=None) # name: reduced formula for the composition by default\n",
"Li3PO4_entry = PDEntry(Composition(\"Li6 P2 O8\"), -106.0250)\n",
"Li4P2O7_entry = PDEntry(Composition(\"Li16 P8 O28\"), -355.4141)\n",
"LiPO3_entry = PDEntry(Composition(\"Li12 P12 O36\"), -428.6151)\n",
"P2O5_entry = PDEntry(Composition(\"P4 O10\"), -105.3868)\n",
"\n",
"manual_entries = [Li2O_entry, Li3PO4_entry, Li4P2O7_entry, LiPO3_entry, P2O5_entry]"
]
},
{
"cell_type": "code",
"execution_count": 43,
"metadata": {},
"outputs": [],
"source": [
"terminal_compositions = [Composition('Li2O'), Composition('P2O5')]\n",
"cpd_m = CompoundPhaseDiagram(manual_entries, terminal_compositions,\n",
" normalize_terminal_compositions=True)"
]
},
{
"cell_type": "code",
"execution_count": 45,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 576x432 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plotter_m = PDPlotter(cpd_m, show_unstable=0)\n",
"plotter_m.show()"
]
}
],
"metadata": {
"celltoolbar": "Raw Cell Format",
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
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},
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}
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