{ "cells": [ { "cell_type": "code", "execution_count": 1, "id": "56a0df43", "metadata": {}, "outputs": [], "source": [ "%matplotlib widget\n", "\n", "import matplotlib\n", "from matplotlib import pyplot as plt\n", "\n", "import numpy as np\n", "from numba import jit" ] }, { "cell_type": "markdown", "id": "c571c336", "metadata": {}, "source": [ "Notebook by Meredith C. Schuman and Alexander Steppke\n", "\n", "This notebook is designed to run from top to bottom; it is not designed to run individual sections on their own, or out of order." ] }, { "attachments": { "8f586f9d-3a61-4c43-a64b-96a132a74702.png": { "image/png": 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" } }, "cell_type": "markdown", "id": "208a4f60", "metadata": {}, "source": [ "# Diffusion coefficients estimate: gas phase\n", "\n", "The diffusion constants of binary gas mixtures are only known for a small range of chemical compounds. Here we use an semi-empirical model based on fitting a wide range of compounds. The error between this estimate and observations is for a wide range of compounds on average less than 5%.\n", "\n", "![image.png](attachment:8f586f9d-3a61-4c43-a64b-96a132a74702.png)\n" ] }, { "cell_type": "code", "execution_count": 2, "id": "1527aef0", "metadata": {}, "outputs": [], "source": [ "# diffusion volume increments or volumes from Fuller et al. 1966, Table 1\n", "dv = {'C':16.5,\n", " 'H' : 1.98,\n", " 'O': 5.48,\n", " 'N': 5.69,\n", " 'S': 17,\n", " 'Cl':19.5,\n", " 'He': 2.88,\n", " 'Aromatic ring': -20.2,\n", " 'Heterocyclic ring': -20.2,\n", " 'Air': 20.1,\n", " }\n", "\n", "# in g/mol\n", "mol_m = {\"He\":4.00260,\n", " \"Air\": 28.9647,}\n", "\n", "# Diffusion constants\n", "Diffusion = {}" ] }, { "cell_type": "markdown", "id": "2308f5fb-06e8-4572-8474-dab4b0bf34fe", "metadata": {}, "source": [ "Calculate the diffusion constant of He in air (cm^2 s^-1)" ] }, { "cell_type": "code", "execution_count": 3, "id": "2c2c91dc", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The diffusion constant for He in air is 0.740 cm2/s\n" ] } ], "source": [ "# T in K, p in atm, M in g/mol, D in cm2/s\n", "Ma = mol_m['He']\n", "Mb = mol_m['Air']\n", "\n", "sum_via = dv['He']\n", "sum_vib = dv['Air']\n", "\n", "T = 317\n", "p = 1\n", "\n", "D_He = 1E-3 * (T**1.75 * (1/Ma + 1/Mb)**(1/2)) / (p*( (sum_via)**(1/3) + (sum_vib)**(1/3) )**2)\n", "print(f'The diffusion constant for He in air is {D_He:.3f} cm2/s')" ] }, { "cell_type": "markdown", "id": "48bcda2a", "metadata": {}, "source": [ "## Example ethyl alcohol\n", "\n", "https://pubchem.ncbi.nlm.nih.gov/compound/Ethanol\n", "\n", "- C2H6O\n", "- molecular weight 46.07\n", "- no rings" ] }, { "cell_type": "code", "execution_count": 4, "id": "71ec8637", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "D = 1.247e-01 cm2/s\n", "D = 1.247e-05 m2/s\n" ] } ], "source": [ "mol_m[\"ethyl alcohol\"] = 46.07\n", "sum_via = 2*dv['C'] + 6*dv['H'] + 1*dv['O'] \n", "\n", "Ma = mol_m['ethyl alcohol']\n", "Mb = mol_m['Air']\n", "\n", "sum_vib = dv['Air']\n", "\n", "T = 300\n", "p = 1\n", "\n", "# D in cm^2/s\n", "D_alcohol = 1E-3 * (T**1.75 * (1/Ma + 1/Mb)**(1/2)) / (p*( (sum_via)**(1/3) + (sum_vib)**(1/3) )**2)\n", "print(f'D = {D_alcohol:.3e} cm2/s')\n", "\n", "# D in m^2/s\n", "D_alcohol_m2 = D_alcohol/(100**2)\n", "print(f'D = {D_alcohol_m2:.3e} m2/s')\n", "\n", "Diffusion['alcohol'] = D_alcohol_m2" ] }, { "cell_type": "markdown", "id": "10035d82-93fd-492d-940e-64aa704e2a1f", "metadata": {}, "source": [ "## (*Z*)-3-hexenyl acetate\n", "\n", "http://www.chemspider.com/Chemical-Structure.4515742.html?rid=8a1de1f1-42c5-447f-b420-f4f26891482d\n", "\n", "* C8H14O2\n", "* Molecular weight 142.196 g/mol (average mass)\n", "* No rings\n", "\n", "Emission rate of **4.93 ± 2.19 ng g DW−1 24 h−1 (Mean ± SEM)** for *Spodoptera frugiperda*-damaged maize plants reported in Pinto-Zevallos, Delia M., Priscila Strapasson, and Paulo H. G. Zarbin. 2016. ‘Herbivore-Induced Volatile Organic Compounds Emitted by Maize: Electrophysiological Responses in Spodoptera Frugiperda Females’. Phytochemistry Letters 16 (June): 70–74. https://doi.org/10.1016/j.phytol.2016.03.005." ] }, { "cell_type": "code", "execution_count": 5, "id": "56a424f9-0238-4218-8a7c-883f3d39eade", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "{'alcohol': 1.2473593515686743e-05, 'cis-3-hexenyl acetate': 6.452061456952013e-06}\n" ] } ], "source": [ "mol_m[\"cis-3-hexenyl acetate\"] = 142.196\n", "sum_via = 8*dv['C'] + 14*dv['H'] + 2*dv['O'] \n", "\n", "Ma = mol_m[\"cis-3-hexenyl acetate\"]\n", "Mb = mol_m['Air']\n", "\n", "sum_vib = dv['Air']\n", "\n", "T = 300\n", "p = 1\n", "\n", "# in cm^2/s\n", "D_hexenylacetate = 1E-3 * (T**1.75 * (1/Ma + 1/Mb)**(1/2)) / (p*( (sum_via)**(1/3) + (sum_vib)**(1/3) )**2)\n", "\n", "# in m^2/s\n", "Diffusion['cis-3-hexenyl acetate'] = D_hexenylacetate/100**2\n", "print(Diffusion)" ] }, { "cell_type": "markdown", "id": "354791c6-2c86-4be6-af65-41b4a9075f47", "metadata": {}, "source": [ "## (E)-4,8-dimethyl-1,3,7-nonatriene (DMNT)\n", "http://www.chemspider.com/Chemical-Structure.4932528.html?rid=08ad301e-32e6-4dd1-90b8-1ce47d48fc6d\n", "\n", "* C11H18\n", "* Molecular weight 150.261 g/mol (average mass)\n", "* No rings\n", "\n", "Emission rate of **33.70 ± 14.32 ng g DW−1 24 h−1 (Mean ± SEM)** for *Spodoptera frugiperda*-damaged maize plants reported in Pinto-Zevallos, Delia M., Priscila Strapasson, and Paulo H. G. Zarbin. 2016. ‘Herbivore-Induced Volatile Organic Compounds Emitted by Maize: Electrophysiological Responses in Spodoptera Frugiperda Females’. Phytochemistry Letters 16 (June): 70–74. https://doi.org/10.1016/j.phytol.2016.03.005." ] }, { "cell_type": "code", "execution_count": 6, "id": "6009adb0-3d35-4385-850b-ca8a85515030", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "{'alcohol': 1.2473593515686743e-05, 'cis-3-hexenyl acetate': 6.452061456952013e-06, 'DMNT': 5.758757806459305e-06}\n" ] } ], "source": [ "mol_m[\"DMNT\"] = 150.261\n", "sum_via = 11*dv['C'] + 18*dv['H']\n", "\n", "Ma = mol_m[\"DMNT\"] \n", "Mb = mol_m['Air']\n", "\n", "sum_vib = dv['Air']\n", "\n", "T = 300\n", "p = 1\n", "\n", "# in cm^2/s\n", "D_DMNT = 1E-3 * (T**1.75 * (1/Ma + 1/Mb)**(1/2)) / (p*( (sum_via)**(1/3) + (sum_vib)**(1/3) )**2)\n", "\n", "# in m^2/s\n", "Diffusion['DMNT'] = D_DMNT/100**2\n", "print(Diffusion)" ] }, { "cell_type": "markdown", "id": "34506aee", "metadata": {}, "source": [ "## DIMBOA\n", "\n", "http://www.chemspider.com/Chemical-Structure.2268.html?rid=b4dace1d-3162-4dc4-a25f-bbc049b0deef\n", " \n", " * C9H9NO\n", " * Molecular weight 211.171 g/mol (average mass)\n", " * One aromatic ring\n", " * One heterocyclic ring\n", " \n", "Mean concentration of **350 ng/g FM in a 2 h collection** taken as approximate middle value from semi-hydroponic extracts of 9 maize lines investigated in Wang, Peng, Lucas Dantas Lopes, Martha G Lopez-Guerrero, Karin van Dijk, Sophie Alvarez, Jean-Jack Riethoven, and Daniel P Schachtman. 2022. ‘Natural Variation in Root Exudation of GABA and DIMBOA Impacts the Maize Root Endosphere and Rhizosphere Microbiomes’. Journal of Experimental Botany 73 (14): 5052–66. https://doi.org/10.1093/jxb/erac202." ] }, { "cell_type": "code", "execution_count": 7, "id": "124d0ee8", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "{'alcohol': 1.2473593515686743e-05, 'cis-3-hexenyl acetate': 6.452061456952013e-06, 'DMNT': 5.758757806459305e-06, 'DIMBOA': 6.909009321040381e-06}\n" ] } ], "source": [ "mol_m[\"DIMBOA\"] = 211.171\n", "sum_via = 9*dv['C'] + 9*dv['H'] + 1*dv['N'] + 1*dv['O'] + dv['Aromatic ring'] + dv['Heterocyclic ring']\n", "\n", "Ma = mol_m['DIMBOA']\n", "Mb = mol_m['Air']\n", "\n", "sum_vib = dv['Air']\n", "\n", "T = 300\n", "p = 1\n", "\n", "# in cm^2/s\n", "D_DIMBOA = 1E-3 * (T**1.75 * (1/Ma + 1/Mb)**(1/2)) / (p*( (sum_via)**(1/3) + (sum_vib)**(1/3) )**2)\n", "\n", "# in m^2/s\n", "Diffusion['DIMBOA'] = D_DIMBOA/100**2\n", "print(Diffusion)" ] }, { "cell_type": "markdown", "id": "343a83a3", "metadata": {}, "source": [ "## 6-C-a-L-arabinopyranosyl-8-Cb-D-glucopyranosylapigenin (isoschaftoside, 6-C-arabinosyl-8-C-galactosylapigenin)\n", "http://www.chemspider.com/Chemical-Structure.2341980.html?rid=80315df2-59ac-4f1c-a332-2845068ef987&page_num=0\n", "\n", "* C26H28O14\n", "* Molecular weight 564.492 g/mol (average mass)\n", "* Two aromatic rings\n", "* Three heterocyclic rings\n", "\n", "Concentration of ca. **50 nM** taken as approximate middle value detected in hydroponic root exudates from *D. unicatum* without continual extraction, by Hooper, Antony M., Muniru K. Tsanuo, Keith Chamberlain, Kay Tittcomb, Julie Scholes, Ahmed Hassanali, Zeyaur R. Khan, and John. A. Pickett. 2010. ‘Isoschaftoside, a C-Glycosylflavonoid from Desmodium Uncinatum Root Exudate, Is an Allelochemical against the Development of Striga’. Phytochemistry 71 (8): 904–8. https://doi.org/10.1016/j.phytochem.2010.02.015.\n", "\n", "This seems to represent an equilibrium concentration under hydroponic conditions." ] }, { "cell_type": "code", "execution_count": 8, "id": "556c05f0", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "{'alcohol': 1.2473593515686743e-05, 'cis-3-hexenyl acetate': 6.452061456952013e-06, 'DMNT': 5.758757806459305e-06, 'DIMBOA': 6.909009321040381e-06, 'isoschaftoside': 3.7805318623858483e-06}\n" ] } ], "source": [ "mol_m[\"isoschaftoside\"] = 564.492\n", "sum_via = 26*dv['C'] + 28*dv['H'] + 14*dv['O'] + 2*dv['Aromatic ring'] + 3*dv['Heterocyclic ring']\n", "\n", "Ma = mol_m[\"isoschaftoside\"] \n", "Mb = mol_m['Air']\n", "\n", "sum_vib = dv['Air']\n", "\n", "T = 300\n", "p = 1\n", "\n", "# in cm^2/s\n", "D_isoschaftoside = 1E-3 * (T**1.75 * (1/Ma + 1/Mb)**(1/2)) / (p*( (sum_via)**(1/3) + (sum_vib)**(1/3) )**2)\n", "\n", "# in m^2/s\n", "Diffusion['isoschaftoside'] = D_isoschaftoside/100**2\n", "print(Diffusion)" ] }, { "cell_type": "markdown", "id": "45c8912a", "metadata": {}, "source": [ "# Simple model\n", "\n", "For estimate of wind speed:\n", "\n", "Wind Power: An Energy Technology Distillate\n", "April 2019\n", "DOI:10.13140/RG.2.2.17909.40169,\n", "Alternatively: https://www.ncdc.noaa.gov/societal-impacts/wind/\n", "\n", "This gives as a lower limit something like 1m/s at 50m above ground.\n", "\n", "When including the friction near ground level and surface roughness this becomes much smaller. One calculator to estimate this is here: http://xn--drmstrre-64ad.dk/wp-content/wind/miller/windpower%20web/en/tour/wres/calculat.htm\n", "(There is some established formula underneath this).\n", "\n", "Here we use a very small value of 0.01m/s which should be OK very close to the ground, or 0 m/s belowground.\n", "\n", "Diffusion equations are built from Cushman-Roisin, course notes from 2012 Environmental Transport and Fate, Dartmouth College, Ch 2, esp. 2.7 and 2.8: https://cushman.host.dartmouth.edu/courses/engs43.html" ] }, { "cell_type": "code", "execution_count": 9, "id": "2fd2dfd5-add1-4090-bb5a-4a60b4ff3e58", "metadata": {}, "outputs": [], "source": [ "# Formatting\n", "\n", "def adjust_lightness(color, amount=0.5):\n", " import matplotlib.colors as mc\n", " import colorsys\n", " try:\n", " c = mc.cnames[color]\n", " except:\n", " c = color\n", " c = colorsys.rgb_to_hls(*mc.to_rgb(c))\n", " return colorsys.hls_to_rgb(c[0], max(0, min(1, amount * c[1])), c[2])\n", "\n", "def set_style_paper():\n", " \"\"\"\n", " Defines axes style for all plots used in paper.\n", " See https://matplotlib.org/users/customizing.html for more details\n", " \"\"\"\n", " from matplotlib import rcParams\n", " import matplotlib as mpl\n", "\n", " # sizes in pt\n", " SMALL_SIZE = 8\n", " MEDIUM_SIZE = 8\n", " BIGGER_SIZE = 12\n", "\n", " plt.rc({'legend.labelspacing': 0.25})\n", "\n", " plt.rc('font', size=SMALL_SIZE) # controls default text sizes\n", " plt.rc('axes', titlesize=SMALL_SIZE) # fontsize of the axes title\n", " plt.rc('axes', labelsize=MEDIUM_SIZE) # fontsize of the x and y labels\n", " plt.rc('xtick', labelsize=SMALL_SIZE) # fontsize of the tick labels\n", " plt.rc('ytick', labelsize=SMALL_SIZE) # fontsize of the tick labels\n", " plt.rc('legend', fontsize=SMALL_SIZE) # legend fontsize\n", " plt.rc('figure', titlesize=MEDIUM_SIZE) # fontsize of the figure title\n", "\n", " plt.rc('xtick', direction='out')\n", " plt.rc('ytick', direction='out')\n", " plt.rc('xtick.major', width=0.5, pad=6) # default seems to be 4\n", " plt.rc('ytick.major', width=0.5, pad=6)\n", " # mpl.rcParams['xtick.top'] = True\n", " # mpl.rcParams['ytick.right'] = True\n", " #xtick.major.width : 1\n", " #ytick.major.width : 1\n", " \n", " rcParams.update({ \n", " 'legend.fancybox': True,\n", " })\n", "\n", " rcParams['lines.markersize'] = 2 # 3 is nice for 8.8cm plots, 2 is 1mm wide and minimum allowed\n", " rcParams['lines.linewidth'] = 0.65 # 0.5 is minimum allowed\n", "\n", " rcParams['axes.linewidth'] = 0.65 # default is 0.75\n", " rcParams['axes.labelpad'] = 4 # default seems to be 4\n", " # plt.rcParams['axes.axisbelow'] = True %this ends up setting ticks below the colorbar colour\n", "\n", " rcParams['figure.dpi'] = 150 # makes inline figures smaller\n", " rcParams['savefig.bbox'] = 'tight'\n", " #rcParams['savefig.pad_inches'] = 0.2 # default to 0.1\n", " rcParams['savefig.pad_inches'] = rcParams['axes.linewidth']/(72*2)\n", "\n", " # rcParams['font.family'] = 'Droid Sans'\n", "\n", " # change font family, not sure about side effects\n", " rcParams['font.family'] = 'Helvetica World'\n", " # rcParams['font.sans-serif'] = ['Helvetica World']\n", " rcParams['font.sans-serif'] = ['Helvetica']\n", " #rcParams['font.sans-serif'] = ['Comic Sans MS']\n", "\n", " rcParams.update({ \n", " 'figure.constrained_layout.use': False,\n", " #'figure.constrained_layout.h_pad': 0.04167,\n", " #'figure.constrained_layout.hspace': 0.02,\n", " \n", " #'figure.constrained_layout.w_pad': 0.04167,\n", " #'figure.constrained_layout.wspace': 0.02,\n", " })\n", "\n", " rcParams['grid.color'] = 'lightgray'\n", " rcParams['grid.linestyle'] = '-'\n", " rcParams['grid.linewidth'] = 0.5\n", "\n", " rcParams.update({ \n", " 'mathtext.default': 'it',\n", " 'mathtext.fallback' : 'cm',\n", " 'mathtext.fontset': 'custom',\n", " 'mathtext.rm': 'Helvetica World',\n", " 'mathtext.bf': 'Helvetica World:bold',\n", " 'mathtext.it': 'Helvetica World:italic',\n", "# 'mathtext.sf': 'sans',\n", "# 'mathtext.tt': 'monospace',\n", " 'mathtext.sf': 'Helvetica World',\n", " #'mathtext.tt': 'Helvetica World',\n", "\n", " })\n", "\n", " # rc('font',**{'family':'sans-serif','sans-serif':['Helvetica']})\n", " # rc('font',**{'family':'serif','serif':['Comic Sans MS']})\n", " rcParams['text.usetex'] = False # True requires some work...\n", "\n", " mpl.rcParams['text.latex.preamble'] = r'\\usepackage{siunitx}'\n", " \n", "set_style_paper() " ] }, { "cell_type": "markdown", "id": "8c2d611e", "metadata": {}, "source": [ "## Diffusion in air with minimum wind" ] }, { "cell_type": "code", "execution_count": 10, "id": "cc6b9ba9", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "2.130014280217124e-07\n" ] }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "584bbc1e8ebe46aca8c8b5179bcccce4", "version_major": 2, "version_minor": 0 }, "image/png": 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", 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