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} }, "cell_type": "markdown", "id": "fd2473fb-8b4f-44af-95d9-73cd4787847d", "metadata": {}, "source": [ "# A five minute intro to Thermobar\n", "- For more information and examples, see the read-the-docs page. https://thermobar.readthedocs.io/en/latest/index.html, which has links to YouTube Videos.\n", "- You can download the excel spreadsheet you need here: https://github.com/PennyWieser/Thermobar/blob/main/docs/Examples/Five_min_intro.xlsx,\n", "click on the download button, and put in the same folder as this notebook\n", "![image.png](attachment:048890b0-2c00-492e-be4e-a63b775e9f69.png)" ] }, { "cell_type": "markdown", "id": "b34e2265-4fdb-4aff-bb33-fd34740f08dd", "metadata": {}, "source": [ "## 1 - Introduction " ] }, { "cell_type": "markdown", "id": "05ad16e5-ca43-41d8-b4fa-fb6a6f4e767e", "metadata": {}, "source": [ "Thermobar is a Python thermobarometry tool. It implements many thermometer and barometer calibrations for single phase (e.g., cpx oer amph) and melt-crystal equilibria (e.g., cpx-liq etc.) " ] }, { "cell_type": "markdown", "id": "a67aed94-349a-4d1f-92e4-a6ef3b71d85b", "metadata": {}, "source": [ "We recomending importing 3 essential python packages, pandas which allows data to be treated a bit like an excel spreadsheet (with column headings), numpy which does math operations, and matplotlib which does plotting. " ] }, { "cell_type": "code", "execution_count": 1, "id": "bd429847-d8ca-4549-ac97-a38c06aaac99", "metadata": {}, "outputs": [], "source": [ "import pandas as pd\n", "import numpy as np\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "markdown", "id": "fb23e14b-d3b4-416e-9678-897bf4cda5d9", "metadata": {}, "source": [ "## 2 - Installing and importing Thermobar\n", "First, we install Thermobar using \"pip\", you only need to do this once on your computer (although you may wish to update as new features are added)" ] }, { "cell_type": "code", "execution_count": 2, "id": "2ca12731-7445-41dc-8e0e-7f5ab4f1fdf1", "metadata": {}, "outputs": [], "source": [ "#!pip install Thermobar" ] }, { "cell_type": "markdown", "id": "0d1d2ac4-df2a-4689-bd4e-e283d381ce4e", "metadata": {}, "source": [ "Now we import the thermobarometry tool itself. this is imported as pt, so any time you want to call a function from Thermobar, you do pt.function_name" ] }, { "cell_type": "code", "execution_count": 3, "id": "766e90c1-34ce-4b95-832c-414dafa0f7ed", "metadata": {}, "outputs": [], "source": [ "import Thermobar as pt" ] }, { "cell_type": "markdown", "id": "6ce20c4e-976d-45fa-88bd-28af052783c2", "metadata": {}, "source": [ "You can get the version (which you should state in a paper) using the following code" ] }, { "cell_type": "code", "execution_count": 4, "id": "6bea1ecd-3202-4cd2-b13b-a3b65ecce7de", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "'1.0.7'" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pt.__version__" ] }, { "cell_type": "markdown", "id": "38a5f6ea-07e7-4259-85ab-ced005010aec", "metadata": {}, "source": [ "## 3 - Load data from an Excel file\n", "- Excel file is formatted with oxide names, followed by the phase (e.g., SiO2_Liq for the SiO2 content of the liquid, SiO2_Cpx for the Cpx). \n", "- In this case, it is reading the file named \"Five_min_intro.xlsx\", from Sheet1\n", "- The import_excel function return a dictionary called \"out\", which is a collection of formatted dataframes, with one for each phase. /\n", "- We can access these dictionaries using their \"keys\" within square brackets (i.e., 'Liqs' and' Cpxs') and extract 2 dataframes, which we call Liqs and Cpxs\n", "- The order of headings doesn't matter. \n", "- You can also have any other columns, e.g., estimate of pressure from any other proxy (melt inclusions, geophysics), and anything else you might want to plot (e.g., latitude, longitude)" ] }, { "cell_type": "code", "execution_count": 5, "id": "8ca9c32a-dca6-4feb-8238-2ce1af636abd", "metadata": {}, "outputs": [], "source": [ "out=pt.import_excel('Five_min_intro.xlsx', sheet_name=\"Sheet1\")\n", "my_input=out['my_input']\n", "Liqs=out['Liqs']\n", "Cpxs=out['Cpxs']" ] }, { "cell_type": "markdown", "id": "f8f25b83-506e-4f5e-87f0-89682acc76e0", "metadata": {}, "source": [ "The following are the phase identification names you should use when formatting an excel spreadsheet" ] }, { "cell_type": "markdown", "id": "3ca57cfd-585a-41da-86bc-c689e773edb0", "metadata": {}, "source": [ "Phase identification:\n", "