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@shak360
Created October 29, 2018 09:53
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{
"nbformat": 4,
"nbformat_minor": 0,
"metadata": {
"colab": {
"name": "hw2.ipynb",
"version": "0.3.2",
"provenance": [],
"collapsed_sections": [
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},
"kernelspec": {
"name": "python2",
"display_name": "Python 2"
}
},
"cells": [
{
"metadata": {
"id": "bc-Yct4TeyAj",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"# BE M260 Homework 2\n",
"## Shakthi Visagan\n",
"## 25 October 2018"
]
},
{
"metadata": {
"id": "CoxfLgnbjxU5",
"colab_type": "code",
"colab": {}
},
"cell_type": "code",
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"% matplotlib inline\n",
"from google.colab import files"
],
"execution_count": 0,
"outputs": []
},
{
"metadata": {
"id": "1w8GmEdyfDEj",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"### 1. Randles Cell Model and Bode Plot **bold text**"
]
},
{
"metadata": {
"id": "rfbhqS_dimIu",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"#### a. A Randles cell is modeled by three components, namely the electrolyte resistance ($R_{\\mathrm{s}}$), the faradaic charge transfer resistance ($R_{\\mathrm{ct}}$), and the double layer capacitance ($C_{\\mathrm{dl}}$). Given $R_{\\mathrm{s}}=25 \\,\\mathrm{\\Omega}$, $R_{\\mathrm{ct}}=500\\,\\mathrm{\\Omega}$, and $C_{\\mathrm{dl}} = 40\\,\\mu\\mathrm{F}$, show the Bode plot of the electrode corresponding to this Randles cell model using the frequency range of 0.01 Hz to 1 MHz. "
]
},
{
"metadata": {
"id": "izQTsHdujrE_",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 1168
},
"outputId": "1dc243ff-d80d-4b6d-b442-bcfb6b2f5434"
},
"cell_type": "code",
"source": [
"f = np.logspace(start=-2, stop=6, num=(6-(-2))*10**3) # frequency to plot in Hz\n",
"omega = 2*np.pi*f # angular frequencies\n",
"\n",
"Rs = 25 # Ohms\n",
"Rct = 500 # Ohms\n",
"Cdl = 40e-6 # Farads\n",
"\n",
"\n",
"def impedance_Randles(omega, Rs, Rct, Cdl):\n",
" s = omega*1j\n",
" alpha = 1/(Rct*Cdl)\n",
" gamma = 1/(Rs*Cdl)\n",
" \n",
" Z = Rs*(alpha+gamma+s)/(alpha+s)\n",
" return(Z)\n",
"\n",
"\n",
"Z = impedance_Randles(omega=omega, Rs=Rs, Rct=Rct, Cdl=Cdl)\n",
"\n",
"fig1a = plt.figure(num=1, figsize=(10,20))\n",
"plt.subplot(411)\n",
"plt.plot(f, abs(Z))\n",
"plt.grid(True, which='both')\n",
"plt.ylim(ymin=0,ymax=550)\n",
"plt.xlim(xmin=f[0],xmax=f[-1])\n",
"plt.xscale('log')\n",
"plt.ylabel('Z Impedance')\n",
"plt.xlabel('Frequency [Hz]')\n",
"plt.title('1a. Randles Cell Bode Impedance Plot')\n",
"\n",
"plt.subplot(412)\n",
"plt.plot(omega, abs(Z))\n",
"plt.grid(True, which='both')\n",
"plt.ylim(ymin=0,ymax=550)\n",
"plt.xlim(xmin=omega[0],xmax=omega[-1])\n",
"plt.xscale('log')\n",
"plt.ylabel('Z Impedance')\n",
"plt.xlabel('Angular Frequency [rad/s]')\n",
"\n",
"plt.subplot(413)\n",
"plt.plot(f, np.angle(Z)*180/np.pi)\n",
"plt.grid(True, which='both')\n",
"plt.ylim(ymax=0, ymin=-70)\n",
"plt.xlim(xmin=f[0],xmax=f[-1])\n",
"plt.xscale('log')\n",
"plt.ylabel('[Phase degrees]')\n",
"plt.xlabel('Frequency [Hz]')\n",
"plt.title('1a. Randles Cell Bode Phase Plot')\n",
"\n",
"plt.subplot(414)\n",
"plt.plot(omega, np.angle(Z)*180/np.pi)\n",
"plt.grid(True, which='both')\n",
"plt.ylim(ymax=0, ymin=-70)\n",
"plt.xlim(xmin=omega[0],xmax=omega[-1])\n",
"plt.xscale('log')\n",
"plt.ylabel('Phase [degrees]')\n",
"plt.xlabel('Angular Frequency [rad/s]')\n",
"\n",
"fig1a.subplots_adjust(hspace=0.33)\n",
"fig1a.savefig('1a.pdf')\n",
"files.download('1a.pdf') "
],
"execution_count": 2,
"outputs": [
{
"output_type": "display_data",
"data": {
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qTzO7y7/x7HAz+4CZ/dTM/ge4BBjZaxGKSK9ofVD7C8u3EteD2kVEQiGVy7tG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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f3c8effc3d0>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"metadata": {
"id": "a2dbtsneoNi9",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"#### b. A Randles cell is modified to include a Warburg impedance with the Warburg coefficient $\\sigma =150 \\frac{\\Omega}{sec}$ show the Bode plot (using the “infinite” Warburg model)."
]
},
{
"metadata": {
"id": "fH72KX-FoSmi",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 1188
},
"outputId": "07b0d596-60a4-4f14-f0f5-859532965145"
},
"cell_type": "code",
"source": [
"def impedance_RandlesWarburg(omega, Rs, Rct, warburg_sigma, Cdl):\n",
"\n",
" s = omega*1j\n",
" Z_w = (warburg_sigma/np.sqrt(omega))*(1-1j)\n",
" \n",
" alpha_w = 1/((Rct+Z_w)*Cdl)\n",
" gamma = 1/(Rs*Cdl)\n",
" Z = Rs*(alpha_w+gamma+s)/(alpha_w+s)\n",
" \n",
" return(Z)\n",
"\n",
"\n",
"Z = impedance_RandlesWarburg(omega=omega, \n",
" Rs=Rs, Rct=Rct, warburg_sigma=150, Cdl=Cdl)\n",
"\n",
"fig1b = plt.figure(num=2, figsize=(10,20))\n",
"plt.subplot(411)\n",
"plt.plot(f, abs(Z))\n",
"plt.grid(True, which='both')\n",
"plt.ylim(ymin=0,ymax=1500)\n",
"plt.xlim(xmin=f[0],xmax=f[-1])\n",
"plt.xscale('log')\n",
"plt.ylabel('Z Impedance')\n",
"plt.xlabel('Frequency [Hz]')\n",
"plt.title('1b. Randles Cell with Infinite Warburg Bode Impedance Plot')\n",
"\n",
"plt.subplot(412)\n",
"plt.plot(omega, abs(Z))\n",
"plt.grid(True, which='both')\n",
"plt.ylim(ymin=0,ymax=1500)\n",
"plt.xlim(xmin=omega[0],xmax=omega[-1])\n",
"plt.xscale('log')\n",
"plt.ylabel('Z Impedance')\n",
"plt.xlabel('Angular Frequency [rad/s]')\n",
"\n",
"plt.subplot(413)\n",
"plt.plot(f, np.angle(Z)*180/np.pi)\n",
"plt.grid(True, which='both')\n",
"plt.ylim(ymax=0, ymin=-70)\n",
"plt.xlim(xmin=f[0],xmax=f[-1])\n",
"plt.xscale('log')\n",
"plt.ylabel('[Phase degrees]')\n",
"plt.xlabel('Frequency [Hz]')\n",
"plt.title('1b. Randles Cell with Infinite Warburg Bode Phase Plot')\n",
"\n",
"plt.subplot(414)\n",
"plt.plot(omega, np.angle(Z)*180/np.pi)\n",
"plt.grid(True, which='both')\n",
"plt.ylim(ymax=0, ymin=-70)\n",
"plt.xlim(xmin=omega[0],xmax=omega[-1])\n",
"plt.xscale('log')\n",
"plt.ylabel('Phase [degrees]')\n",
"plt.xlabel('Angular Frequency [rad/s]')\n",
"\n",
"fig1b.subplots_adjust(hspace=0.33)\n",
"fig1b.savefig('1b.pdf')\n",
"files.download('1b.pdf') "
],
"execution_count": 3,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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IpBklcCIiIiJpJqmv0jKzocAzwB3ufk9M+enAC+4eCacvA64BKoEH3P1BM8sCHgZ6AxXA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oElJRVtjqs5aWlJbTpna/Zvap+2rG+8ruFyU4/DJZhztnRMc9tbe13astwZrkso90pT29p6rzRe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\nRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f3c8bd79e50>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"metadata": {
"id": "6hL65ga-pvUi",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"#### c. Repeat (a) with $R_{\\mathrm{s}}=50\\,\\mathrm{\\Omega}$, $R_{\\mathrm{ct}}=1000\\,\\mathrm{\\Omega}$, and $C_{\\mathrm{dl}} = 20\\,\\mu\\mathrm{F}$.\n"
]
},
{
"metadata": {
"id": "u1_0Ctu2rAhX",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 1168
},
"outputId": "79a1f6e6-0840-480d-9ede-572fa6fcd32c"
},
"cell_type": "code",
"source": [
"Z = impedance_Randles(omega=omega, Rs=50, Rct=1000, Cdl=20e-6)\n",
"\n",
"fig1c = plt.figure(num=1, figsize=(10,20))\n",
"plt.subplot(411)\n",
"plt.plot(f, abs(Z))\n",
"plt.grid(True, which='both')\n",
"plt.ylim(ymin=0,ymax=1200)\n",
"plt.xlim(xmin=f[0],xmax=f[-1])\n",
"plt.xscale('log')\n",
"plt.ylabel('Z Impedance')\n",
"plt.xlabel('Frequency [Hz]')\n",
"plt.title('1c. Randles Cell Bode Impedance Plot')\n",
"\n",
"plt.subplot(412)\n",
"plt.plot(omega, abs(Z))\n",
"plt.grid(True, which='both')\n",
"plt.ylim(ymin=0,ymax=1200)\n",
"plt.xlim(xmin=omega[0],xmax=omega[-1])\n",
"plt.xscale('log')\n",
"plt.ylabel('Z Impedance')\n",
"plt.xlabel('Angular Frequency [rad/s]')\n",
"\n",
"plt.subplot(413)\n",
"plt.plot(f, np.angle(Z)*180/np.pi)\n",
"plt.grid(True, which='both')\n",
"plt.ylim(ymax=0, ymin=-70)\n",
"plt.xlim(xmin=f[0],xmax=f[-1])\n",
"plt.xscale('log')\n",
"plt.ylabel('[Phase degrees]')\n",
"plt.xlabel('Frequency [Hz]')\n",
"plt.title('1c. Randles Cell Bode Phase Plot')\n",
"\n",
"plt.subplot(414)\n",
"plt.plot(omega, np.angle(Z)*180/np.pi)\n",
"plt.grid(True, which='both')\n",
"plt.ylim(ymax=0, ymin=-70)\n",
"plt.xlim(xmin=omega[0],xmax=omega[-1])\n",
"plt.xscale('log')\n",
"plt.ylabel('Phase [degrees]')\n",
"plt.xlabel('Angular Frequency [rad/s]')\n",
"\n",
"fig1c.subplots_adjust(hspace=0.33)\n",
"fig1c.savefig('1c.pdf')\n",
"files.download('1c.pdf') "
],
"execution_count": 10,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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uNWH9JOAPwM3ANHe/Oiz/DrDC3W/pZhNdvxkRSdtfZi/mtn8u4jPnH8Y5x/X6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\nEWll/j84MZblLVwKTwAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f3c87d64850>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"metadata": {
"id": "HrUEX6jIrkJP",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"#### d. Repeat (b) with $R_{\\mathrm{s}}=50\\,\\mathrm{\\Omega}$, $R_{\\mathrm{ct}}=1000\\,\\mathrm{\\Omega}$, and $C_{\\mathrm{dl}} = 20\\,\\mu\\mathrm{F}$. Also include $\\sigma =600 \\frac{\\Omega}{sec}$"
]
},
{
"metadata": {
"id": "Xbd5q_qUrlqb",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 1168
},
"outputId": "e938ae6b-0363-4873-8014-7f37f261e29a"
},
"cell_type": "code",
"source": [
"Z = impedance_RandlesWarburg(omega=omega, \n",
" Rs=50, Rct=1000, warburg_sigma=150, Cdl=20e-6)\n",
"\n",
"fig1d = plt.figure(num=2, figsize=(10,20))\n",
"plt.subplot(411)\n",
"plt.plot(f, abs(Z))\n",
"plt.grid(True, which='both')\n",
"plt.ylim(ymin=0,ymax=1800)\n",
"plt.xlim(xmin=f[0],xmax=f[-1])\n",
"plt.xscale('log')\n",
"plt.ylabel('Z Impedance')\n",
"plt.xlabel('Frequency [Hz]')\n",
"plt.title('1d. Randles Cell with Infinite Warburg Bode Impedance Plot')\n",
"\n",
"plt.subplot(412)\n",
"plt.plot(omega, abs(Z))\n",
"plt.grid(True, which='both')\n",
"plt.ylim(ymin=0,ymax=1800)\n",
"plt.xlim(xmin=omega[0],xmax=omega[-1])\n",
"plt.xscale('log')\n",
"plt.ylabel('Z Impedance')\n",
"plt.xlabel('Angular Frequency [rad/s]')\n",
"\n",
"plt.subplot(413)\n",
"plt.plot(f, np.angle(Z)*180/np.pi)\n",
"plt.grid(True, which='both')\n",
"plt.ylim(ymax=0, ymin=-70)\n",
"plt.xlim(xmin=f[0],xmax=f[-1])\n",
"plt.xscale('log')\n",
"plt.ylabel('[Phase degrees]')\n",
"plt.xlabel('Frequency [Hz]')\n",
"plt.title('1d. Randles Cell with Infinite Warburg Bode Phase Plot')\n",
"\n",
"plt.subplot(414)\n",
"plt.plot(omega, np.angle(Z)*180/np.pi)\n",
"plt.grid(True, which='both')\n",
"plt.ylim(ymax=0, ymin=-70)\n",
"plt.xlim(xmin=omega[0],xmax=omega[-1])\n",
"plt.xscale('log')\n",
"plt.ylabel('Phase [degrees]')\n",
"plt.xlabel('Angular Frequency [rad/s]')\n",
"\n",
"fig1d.subplots_adjust(hspace=0.33)\n",
"fig1d.savefig('1d.pdf')\n",
"files.download('1d.pdf') "
],
"execution_count": 5,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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34hNmeSHzVnzC85OW8/yk5bRvk8aQXu0Y2rs9A3vmkpZS82lUUxzVrY+1XWqz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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f3c89fdce50>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"metadata": {
"id": "0BcBTnk15X05",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"### 2. Randles Cell Charecterization"
]
},
{
"metadata": {
"id": "nXNTWOsRmyCe",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"#### a. $R_{\\mathrm{s}}=1.9\\,\\mathrm{k\\Omega}$, $R_{\\mathrm{ct}}=15\\,\\mathrm{k\\Omega}$, and $C_{\\mathrm{dl}} = 220\\,\\mathrm{nF}$. "
]
},
{
"metadata": {
"id": "B0o8a-Nc5Y6e",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 1168
},
"outputId": "21e71e1d-efe2-40d5-cde4-d8fc42694846"
},
"cell_type": "code",
"source": [
"Z = impedance_Randles(omega=omega, Rs=1.9e3, Rct=15e3, Cdl=220e-9)\n",
"\n",
"fig2b = plt.figure(num=1, figsize=(10,20))\n",
"plt.subplot(411)\n",
"plt.plot(f, abs(Z))\n",
"plt.grid(True, which='both')\n",
"plt.ylim(ymin=0,ymax=18e3)\n",
"plt.xlim(xmin=f[0],xmax=f[-1])\n",
"plt.xscale('log')\n",
"plt.ylabel('Z Impedance')\n",
"plt.xlabel('Frequency [Hz]')\n",
"plt.title('2b. Randles Cell Bode Impedance Plot')\n",
"\n",
"plt.subplot(412)\n",
"plt.plot(omega, abs(Z))\n",
"plt.grid(True, which='both')\n",
"plt.ylim(ymin=0,ymax=18e3)\n",
"plt.xlim(xmin=omega[0],xmax=omega[-1])\n",
"plt.xscale('log')\n",
"plt.ylabel('Z Impedance')\n",
"plt.xlabel('Angular Frequency [rad/s]')\n",
"\n",
"plt.subplot(413)\n",
"plt.plot(f, np.angle(Z)*180/np.pi)\n",
"plt.grid(True, which='both')\n",
"plt.ylim(ymax=0, ymin=-60)\n",
"plt.xlim(xmin=f[0],xmax=f[-1])\n",
"plt.xscale('log')\n",
"plt.ylabel('[Phase degrees]')\n",
"plt.xlabel('Frequency [Hz]')\n",
"plt.title('2b. Randles Cell Bode Phase Plot')\n",
"\n",
"plt.subplot(414)\n",
"plt.plot(omega, np.angle(Z)*180/np.pi)\n",
"plt.grid(True, which='both')\n",
"plt.ylim(ymax=0, ymin=-60)\n",
"plt.xlim(xmin=omega[0],xmax=omega[-1])\n",
"plt.xscale('log')\n",
"plt.ylabel('Phase [degrees]')\n",
"plt.xlabel('Angular Frequency [rad/s]')\n",
"\n",
"fig2b.subplots_adjust(hspace=0.33)\n",
"fig2b.savefig('2b.pdf')\n",
"files.download('2b.pdf') "
],
"execution_count": 6,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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DbfuVNVk5+CMvHHJrqnZ+Xpz8vMZvcSzIb3xd/bBcvcKCPAry8/YtFxXkUVjQ+HJxYT5F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\nqYuIiIjoAknqIiIiIrpAkrqIiIiILnAFZcMSNeeiJJgAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f3c889cbf10>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"metadata": {
"id": "k2RCgWq-nnKg",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"#### c. $R_{\\mathrm{s}}=1.9\\,\\mathrm{k\\Omega}$, $R_{\\mathrm{ct}}=15\\times\\frac{1}{3.8}\\,\\mathrm{k\\Omega}$, and $C_{\\mathrm{dl}} = 220\\times3.8\\,\\mathrm{nF}$. "
]
},
{
"metadata": {
"id": "vXup8Jh3n60v",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 1188
},
"outputId": "cdab8d2a-2dde-4508-e5ee-bc48d682016a"
},
"cell_type": "code",
"source": [
"Z = impedance_Randles(omega=omega, Rs=1.9e3, Rct=(15e3)/3.8, Cdl=(220e-9)*3.8)\n",
"\n",
"fig2c = plt.figure(num=1, figsize=(10,20))\n",
"plt.subplot(411)\n",
"plt.plot(f, abs(Z))\n",
"plt.grid(True, which='both')\n",
"plt.ylim(ymin=0,ymax=6e3)\n",
"plt.xlim(xmin=f[0],xmax=f[-1])\n",
"plt.xscale('log')\n",
"plt.ylabel('Z Impedance')\n",
"plt.xlabel('Frequency [Hz]')\n",
"plt.title('2c. Randles Cell Bode Impedance Plot')\n",
"\n",
"plt.subplot(412)\n",
"plt.plot(omega, abs(Z))\n",
"plt.grid(True, which='both')\n",
"plt.ylim(ymin=0,ymax=18e3)\n",
"plt.xlim(xmin=omega[0],xmax=omega[-1])\n",
"plt.xscale('log')\n",
"plt.ylabel('Z Impedance')\n",
"plt.xlabel('Angular Frequency [rad/s]')\n",
"\n",
"plt.subplot(413)\n",
"plt.plot(f, np.angle(Z)*180/np.pi)\n",
"plt.grid(True, which='both')\n",
"plt.ylim(ymax=0, ymin=-35)\n",
"plt.xlim(xmin=f[0],xmax=f[-1])\n",
"plt.xscale('log')\n",
"plt.ylabel('[Phase degrees]')\n",
"plt.xlabel('Frequency [Hz]')\n",
"plt.title('2c. Randles Cell Bode Phase Plot')\n",
"\n",
"plt.subplot(414)\n",
"plt.plot(omega, np.angle(Z)*180/np.pi)\n",
"plt.grid(True, which='both')\n",
"plt.ylim(ymax=0, ymin=-35)\n",
"plt.xlim(xmin=omega[0],xmax=omega[-1])\n",
"plt.xscale('log')\n",
"plt.ylabel('Phase [degrees]')\n",
"plt.xlabel('Angular Frequency [rad/s]')\n",
"\n",
"fig2c.subplots_adjust(hspace=0.33)\n",
"fig2c.savefig('2c.pdf')\n",
"files.download('2c.pdf') "
],
"execution_count": 7,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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GlrLbTpV8dNIodhxaQmX5gPwdnIiIZEVJnUg/UzKgkLEjB1FVNYhdR39wP6Thw8t5c/Ea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\nIiIp4P8HyE5u9R6Nj38AAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f3c888dd6d0>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"metadata": {
"id": "5qBNfBvY5n9K",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"### 3. Cyclic Voltammetry"
]
},
{
"metadata": {
"id": "vbQakTp65zuf",
"colab_type": "code",
"colab": {
"resources": {
"http://localhost:8080/nbextensions/google.colab/files.js": {
"data": "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",
"ok": true,
"headers": [
[
"content-type",
"application/javascript"
]
],
"status": 200,
"status_text": ""
}
},
"base_uri": "https://localhost:8080/",
"height": 72
},
"outputId": "38339484-e336-4b4a-b3af-ac4600c240a1"
},
"cell_type": "code",
"source": [
"uploaded = files.upload()"
],
"execution_count": 12,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<IPython.core.display.HTML object>"
],
"text/html": [
"\n",
" <input type=\"file\" id=\"files-359fe08b-8da4-414b-b32d-6dcc0d734a5b\" name=\"files[]\" multiple disabled />\n",
" <output id=\"result-359fe08b-8da4-414b-b32d-6dcc0d734a5b\">\n",
" Upload widget is only available when the cell has been executed in the\n",
" current browser session. Please rerun this cell to enable.\n",
" </output>\n",
" <script src=\"/nbextensions/google.colab/files.js\"></script> "
]
},
"metadata": {
"tags": []
}
},
{
"output_type": "stream",
"text": [
"Saving be260-hw2-2018-fall-cv-platinum.csv to be260-hw2-2018-fall-cv-platinum (1).csv\n"
],
"name": "stdout"
}
]
},
{
"metadata": {
"id": "xptEJkJj6Cve",
"colab_type": "code",
"colab": {}
},
"cell_type": "code",
"source": [
"import pandas as pd\n",
"import io\n",
"df_plat = pd.read_csv(io.StringIO(uploaded['be260-hw2-2018-fall-cv-platinum.csv'].decode('utf-8')))"
],
"execution_count": 0,
"outputs": []
},
{
"metadata": {
"id": "HfU0diw-7-Jb",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 204
},
"outputId": "91394a96-9447-42a4-c87d-304aa977309c"
},
"cell_type": "code",
"source": [
"df_plat_chart = df_plat[38:-1]\n",
"df_plat_chart.head()"
],
"execution_count": 14,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>Cyclic Voltammetry</th>\n",
" <th>Unnamed: 1</th>\n",
" <th>Unnamed: 2</th>\n",
" <th>Unnamed: 3</th>\n",
" <th>Unnamed: 4</th>\n",
" <th>Unnamed: 5</th>\n",
" <th>Unnamed: 6</th>\n",
" <th>Unnamed: 7</th>\n",
" <th>Unnamed: 8</th>\n",
" <th>Unnamed: 9</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>38</th>\n",
" <td>mode</td>\n",
" <td>ox/red</td>\n",
" <td>error</td>\n",
" <td>control changes</td>\n",
" <td>counter inc.</td>\n",
" <td>time/s</td>\n",
" <td>control/V</td>\n",
" <td>Ewe/V</td>\n",
" <td>&lt;I&gt;/mA</td>\n",
" <td>P/W</td>\n",
" </tr>\n",
" <tr>\n",
" <th>39</th>\n",
" <td>2</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" <td>1</td>\n",
" <td>0</td>\n",
" <td>671.9794</td>\n",
" <td>0.124301262</td>\n",
" <td>0.124444596</td>\n",
" <td>-0.000545261</td>\n",
" <td>6.79E-08</td>\n",
" </tr>\n",
" <tr>\n",
" <th>40</th>\n",
" <td>2</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" <td>671.9849</td>\n",
" <td>0.12375135</td>\n",
" <td>0.124021851</td>\n",
" <td>-0.000534587</td>\n",
" <td>6.63E-08</td>\n",
" </tr>\n",
" <tr>\n",
" <th>41</th>\n",
" <td>2</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" <td>671.9949</td>\n",
" <td>0.122751601</td>\n",
" <td>0.12297406</td>\n",
" <td>-0.000542549</td>\n",
" <td>6.67E-08</td>\n",
" </tr>\n",
" <tr>\n",
" <th>42</th>\n",
" <td>2</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" <td>672.0049</td>\n",
" <td>0.121751837</td>\n",
" <td>0.121923089</td>\n",
" <td>-0.000538086</td>\n",
" <td>6.56E-08</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" Cyclic Voltammetry Unnamed: 1 Unnamed: 2 Unnamed: 3 Unnamed: 4 \\\n",
"38 mode ox/red error control changes counter inc. \n",
"39 2 0 0 1 0 \n",
"40 2 0 0 0 0 \n",
"41 2 0 0 0 0 \n",
"42 2 0 0 0 0 \n",
"\n",
" Unnamed: 5 Unnamed: 6 Unnamed: 7 Unnamed: 8 Unnamed: 9 \n",
"38 time/s control/V Ewe/V <I>/mA P/W \n",
"39 671.9794 0.124301262 0.124444596 -0.000545261 6.79E-08 \n",
"40 671.9849 0.12375135 0.124021851 -0.000534587 6.63E-08 \n",
"41 671.9949 0.122751601 0.12297406 -0.000542549 6.67E-08 \n",
"42 672.0049 0.121751837 0.121923089 -0.000538086 6.56E-08 "
]
},
"metadata": {
"tags": []
},
"execution_count": 14
}
]
},
{
"metadata": {
"id": "QRqRiWJvq25I",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"#### a. Calculating charge by finding the opening."
]
},
{
"metadata": {
"id": "0Biznr4K86eG",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 1045
},
"outputId": "dc33697e-0d19-45a9-b7fc-3e6183b02888"
},
"cell_type": "code",
"source": [
"df_plat_chart = df_plat[39:-1]\n",
"time_plat = df_plat_chart['Unnamed: 5'].astype(np.float)\n",
"cont_voltage_plat = df_plat_chart['Unnamed: 6'].astype(np.float)\n",
"ewe_voltage_plat = df_plat_chart['Unnamed: 7'].astype(np.float)\n",
"current_plat = df_plat_chart['Unnamed: 8'].astype(np.float)\n",
"\n",
"fig3a = plt.figure(num=1, figsize=(10,15))\n",
"\n",
"xyv = np.array([time_plat,cont_voltage_plat])\n",
"xyv = np.append(xyv, np.expand_dims(xyv[:,-1], axis=1), axis=1)\n",
"xyv = np.roll(xyv, 1077, axis=1)\n",
"xyv_hold = np.hsplit(xyv,2)\n",
"xy1v = xyv_hold[0]\n",
"xy2v = xyv_hold[1]\n",
"plt.subplot(311)\n",
"plt.scatter(xy1v[0], xy1v[1], c='r', marker='.', s=5)\n",
"plt.scatter(xy2v[0], xy2v[1], c='b', marker='.', s=5)\n",
"plt.xlim(xmin=670,xmax=721)\n",
"plt.xlabel('Time [s]')\n",
"plt.ylabel('Control Potential [V]')\n",
"plt.title('3a. Excitation Signal')\n",
"\n",
"xyt = np.array([time_plat,current_plat])\n",
"xyt = np.append(xyt, np.expand_dims(xyt[:,-1], axis=1), axis=1)\n",
"xyt = np.roll(xyt, 1077, axis=1)\n",
"xyt_hold = np.hsplit(xyt,2)\n",
"xy1t = xyt_hold[0]\n",
"xy2t = xyt_hold[1]\n",
"plt.subplot(312)\n",
"plt.scatter(xy1t[0], xy1t[1], c='r', marker='.', s=5)\n",
"i, = np.where(xy2t[1] >= 0)\n",
"print(i)\n",
"\n",
"plt.scatter(xy2t[0], xy2t[1], c='b', marker='.', s=5)\n",
"plt.xlim(xmin=670,xmax=721)\n",
"plt.ylim(ymin=-0.09,ymax=0.02)\n",
"plt.xlabel('Time [s]')\n",
"plt.ylabel('Current [mA]')\n",
"plt.title('3a. Current vs Time')\n",
"\n",
"AUblueCtrapztime = np.trapz(y=xy2t[1][i[0]:i[-1]], x=xy2t[0][i[0]:i[-1]])\n",
"print(\"Area under Current vs Time where current is positive: {} mC\".format(AUblueCtrapztime))\n",
"print(xy2t[0][i[-1]])\n",
"\n",
"\n",
"\n",
"xy = np.array([cont_voltage_plat,current_plat])\n",
"xy = np.append(xy, np.expand_dims(xy[:,-1], axis=1), axis=1)\n",
"xy = np.roll(xy, 1077, axis=1)\n",
"xy_hold = np.hsplit(xy,2)\n",
"xy1 = xy_hold[0]\n",
"xy2 = xy_hold[1]\n",
"plt.subplot(313)\n",
"plt.plot(xy1[0], xy1[1], 'r')\n",
"plt.plot(xy2[0], xy2[1], 'b')\n",
"plt.xlim(xmin=-1.25,xmax=1.25)\n",
"plt.ylim(ymin=-0.09,ymax=0.02)\n",
"plt.xlabel('Control Potential [V]')\n",
"plt.ylabel('Current [mA]')\n",
"plt.title('3a. Cyclic Voltammogram')\n",
"\n",
"fig3a.subplots_adjust(hspace=0.33)\n",
"fig3a.savefig('3a.pdf')\n",
"files.download('3a.pdf') \n",
"\n",
"AUblueCtrapz = np.trapz(y=xy2[1][i[0]:i[-1]], x=xy2[0][i[0]:i[-1]])\n",
"AUredCtrapz = np.trapz(y=xy2[1], x=xy2[0])\n",
"AUCtrapz = AUblueCtrapz \n",
"print(\"Area under Current vs Voltage where current is positive: {} mA/V\".format(AUCtrapz))\n",
"dVdT = (xy2v[1][i[-1]] - xy2v[1][i[0]]) / (xy2v[0][i[-1]] - xy2v[0][i[0]])\n",
"print(\"voltage beginning: {} V\".format(xy2v[0][i[0]]))\n",
"print(\"voltage end: {} V\".format(xy2v[0][i[-1]]))\n",
"print(\"scan rate: {} V/s\".format(dVdT))\n",
"areaOfOpening = AUCtrapz * dVdT**(-1)\n",
"print(\"Charge: {} mC\".format(AUCtrapz * dVdT**(-1)))\n",
"\n",
"area = AUCtrapz * dVdT**(-1) / 210\n",
"print(\"area = {} cm^2\".format(area))\n"
],
"execution_count": 16,
"outputs": [
{
"output_type": "stream",
"text": [
"[ 318 319 320 ... 2397 2398 2399]\n",
"Area under Current vs Time where current is positive: 0.0280253669813 mC\n",
"709.2222\n",
"Area under Current vs Voltage where current is positive: 0.00280252017274 mA/V\n",
"voltage beginning: 688.4285 V\n",
"voltage end: 709.2222 V\n",
"scan rate: 0.0999995221149 V/s\n",
"Charge: 0.0280253356563 mC\n",
"area = 0.000133453979316 cm^2\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
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pCdlKneoyEC9ZG7vPPTPiqEqbEjUREYm1pqYxTJyYVKmzRHSXQquqAEhs3qxuBnlQoiYi\nIrHV1WUgkwmStGuvPahSZ4lIbdqhbgYFoERNRERiKVuXgaVLMxFHJUORrZuBGrsPjRI1ERGJFXUZ\nGFn6dzOo2LiR6ml1EUdVOpSoiYhIbGRrqK4uAyNDn8bubW1UT6zREh6DoERNRERiYdYsNVQf6fY1\nr+fA5Z8CIJHJaAmPQVCiJiIikerqMrB7d5CkTZigUudIdvDKq9nb8gjp8nJA3QyOR4maiIhEJluX\ngSeeUKlzpMtMnxFct6ZuBselRE1ERCKhLgOibgbHp0RNRESKaqCG6uoyMDpl7WagUmg3JWoiIlI0\njY3laqguRxmosbsoURMRkSJZsCDJ8uUnAFBerlKnHC3lW+mY8yogKIWqmwGMHeoLzOyiwezn7rcP\nPRwRERmJzHoWsE0mg7s6RbJpa7qfw403Mu6qz5HIZEgsv4Lk6lvZ17w+6tAikcuM2peAlxzn4+oC\nxSciIiVsoC4DIseStZvBKG3sPuQZNeBOd//SsXYwsxcM9aBmthKYC3QCn3D3R3tt2wJsA7qavC10\n9x1DPYeIiBTPggU9C9hC0GVAC9jKUKS2PMtJ8+ZSsXFjd2P3Q9d8hY6ll0YdWtHkkqg1mNkO4DZ3\n35NtB3dfNpQDmtk5wMvc/TVmNgO4GXhN//O6+/4c4hURkSLrX+q8557DWsBWcrKveT3JfqXQxM/v\nZv+atVGHVhS5lD4vAV4G/N7MfmpmbzOzfG9KOBe4E8DdnwRqzOykPI8pIiJF1tpapobqUnDdpdBk\nsO7euJbmUbOER1lnZ25vHjNLAhcAi4BXAKuBm939jzkc6zvAOne/K3z8S+BD7v5U+HgL8BAwJfz8\nOXc/XuD6rSAiUkRLl8JNN/U8fve7Yc2a6OKREWriRHj22eDrcePgscfg5S+PNqbCKMv2ZC6lTwA8\nWPjmR8CPzOw04OuAA+W5HrOX/sFeBfwMeI5g5u3dwHHf/nv2tBUgFCmW2toqjVkJ0riVnuEYs9mz\nexawTSTS3HRTmoaG59mT9QIZGSq9z3r57VOcuOACxrU0w6FDMGsW7Qsvon3lDVFHdpShjFttbVXW\n5/MqWZrZTDP7KrAeqATekeOhngF6387xImBn1wN3v93dd7v7EeBughk8ERGJmLoMSBRGUzeDXNZR\nOxn4AHAxQXJ2M3C2u+/KI45fECz78W0zmw084+5t4fmqgR8Cb3f3w8A5DGI2TUREhteyZYnuXp0Q\ndBnQArZSLF3dDKrtdBJ79wbdDOpOIbXjL1GHVlC5lD7/CPyUYAmNXxUiCHd/2MweN7OHgeeBj5nZ\nxUDK3X9qZncD683sIPB/KFETEYnU3LlJNm8+utQpUmwp39pdCk2k01SfWs2hFV8dMUt4DPlmAjO7\n0t1XHGefK9z9urwiy1+n6vmlRddglCaNW+nJd8ymTUvS1hYkaVVVaTZt0izacNP77PgSTeuovPgD\nJMK85vDMmZF3MxjiNWoFu5lgoZk9fYztZQRl0agTNRERKaCmpjEsWZIgnQ6StJkz0zQ3K0mTeEg3\nzCe1K0X1lNNItLd3dzNIbXk26tDyksvNBP/NsdtHTQF+UKD4REQkBhYsSLJoUWV3knb55YeUpEks\npbY8y+GZwY0FXd0MSrmxe87rqJUAlT5LjKb2S5PGrfQMdczUZSB6ep8NXe9uBhBNKbQQpc98OwqI\niMgI1dpaxsSJ6jIgpSlrY3c7PeKohk6JmoiIHGXZsgT19ePJZIIkbeHCDjZsUKlTSk9qy7Okp04F\nILF3L9WTaylvfTLiqAYvl3XUjpncubvuzxYRKWG9uwyUl6d54AGVOqW0pdb/hvGLP8gJ69aS6Oig\npv7s2HYz6C+XGbUjQDr8ONLrcddnEREpQdm6DOzcqVKnjAwHbvleSXYzGPKMmrsPmNyZ2cvyC0dE\nRKKgLgMyGmTtZjC5lv33tJCZPiPq8LLKuSm7mZUDbwFeGD6VBJYTLM8hIiIlYqCG6iIjVZ9uBmEp\n9MDln+LglVdHHdpRck7UgO8BNcArgYeAucAXCxGUiIgUR11dsntttJqaNO6aRZPRYf+atXQ0raPy\nkg+SyGQYv+p6Evf+LPJuBv3lc9fnJHd/K+DufiHweuCswoQlIiLDqalpDKee2pOk1dcrSZPRJ90w\n/+glPKacFnFUfRVieY6xZjbO3bcCLy/A8UREZBidfz4sWlRJZ2eCsrI0t93WruvRZFSLczeDfBK1\n+83sCuBOYIOZrcvzeCIiMszMktx7b/B1Mplm164OXY8mAuxrXk/btdeRLi8nkclQtfwKTpo3N+qw\nck+s3P2LwNfd/d+AJcBNBDcXiIhIzDQ1jaGu7uguAyLSI2s3g4hLoUNO1MysIfx8CbAo/Dyd4MaC\n9xY2PBERyVf/hupLlqAuAyLHkK0UmmhaF0ksucyo/U34+Q1ZPl5foLhERKQAZs1K0tLS01C9peUA\njY0RByVSAvY1r+fA5Z8CIJHJUL3o/Yxf/MGix5HLgrdfDb/8ubv/d+9tZnZpQaISEZG8tLaWcf75\nFXR0BEnahAlpnnhCs2giQ3Hwyqs5vOC9nHh+PYmODk5Yt5axs2eS2rCxaDHk0uvzTGAO8M9mVtlr\nUwK4CojHbRIiIqOUugyIFE5m+gxS2/ZQPeulJHbvLno3g1xKnx3AqcAL6Fv2fDXw6cKFJiIiQzV7\ndrI7SUsktPSGSKGknvgjh+rnAXR3M6hc9vFhP28upc8ngSfN7H53j9fyvSIio1T/Uqe6DIgUXnc3\ngyUXkUinqVx9O4n/fYjU+t8M2znzaSF1gpn9FDgZKOt60t3r845KREQGbcWKsaxaNa77sUqdIsOn\nu7H7tDoSbW0kNm+mespppLY8OyznyydRuxG4FthaoFhERGSI5s1LsnFjMItWXp7m5pvVUF2kGFKb\ndnDSvLlUbNzYvYTHoWu+QsfSwt5XmU+itsXdby9YJCIiMiTTpiVpawuStMrKNFu2aBZNpJj2Na8n\n2Xgj4676HIlMhsTyK0iuvrWgjd3zafnUZGYfNrMzzGxq10fBIhMRkay6ugx0JWkzZypJE4nKcHcz\nyCdR+wTwOeDnwH3hx72FCCquEk3rKG99MuowRGQU699l4PLLD9HcrCRNJGpHdTM4tbogx8259Onu\nLylIBCUi0bSO6kXvpxM4uPAi2lfeEHVIIjLKmPX06kwm09xzz2GmT++MOCoR6dJdCr3yMyQ6O+GM\nM+BXj+d1zJxn1MzsdDNbY2YPhI+XmNnL8oomxtIN80lPnUoZULn6dk6aNzfqkERklGhtLcvaUF1J\nmkj8dCy9lNSuFOmpU+Gpp/I+Xj6lz0bg9l7HeAr4Tt4RxVhq/W9IV1UBYQ3aTo84IhEZ6ZYtS1Bf\nP7671Dl//mE1VBcpAYVaWy2fRC3h7muB5wHcvaUgEcVcatOOIEsGEnv3Ul13CommdRFHJSIjUbYu\nA7fccjjiqESkmPJJ1DCzFwCd4dcvB04oRFBxl1r/G9oXXgRAIp2metH7OXHBBRFHJSIjRWtrGZMn\nJ9m+vafLwI4dHVofTWQUyidRuwZYD8wxs98C9wCfL0hUJaB95Q3sbXmEdDL43+64lmaVQkUkb12l\nzq5WUPX1agUlMprls+Dt/wF/C8wiaNT+FDCxEEGVisz0GaS27aF69kwS27cHpdCJNex/4GEy02dE\nHZ6IlJi5c5Ns3hwkaIlEmptuUpcBkdEupxk1MxsD/BQ4BDwOPEFQAl1buNBKR2rDxp5SaCZDTf3Z\nVC77eMRRiUgpmTKlJ0mrqlKpU0QCQ07UzOz9QCtwDpABjoQf7cDTuQZiZivN7H/N7GEzO6vftvPM\n7Nfh9i/keo7h1F0KLS8HgiU8qmfPjDgqEYm7pqYxTJyYpL29p8vApk0qdYpIYMiJmrvf4e5nANe4\n+5heH+XuPj+XIMzsHOBl7v4a4EPAqn67rALeDbwOeLOZxTIDykyfEbSRqKkBILF9O9WTa9XNQESy\n6uoykMkkKC9Pc+21B9VlQET6yOdmghVm9g9mtsrMvmlm78vjWOcCdwK4+5NAjZmdBBD2D33O3be5\n+/PA3eH+sZXyrRyqnwdAoqNDpVAROYpZkpaWni4DO3d2sHRpJuKoRCRu8rmZ4JvABKAZKAPea2av\ncfdP5HCs0wiudeuyJ3xuX/h5T69tu4FpgzlobW1VDqEUyIMPwF13wYUXQjrN+NW3M/6XzbB1a3Qx\nlYBIx0xypnEbvN//Hl75SsiEOdmLXwxbt1YAFUWNQ2NWejRmpSnfccsnUZvl7uf0enyDmf0yr2h6\nlOW4rY89e9oKEEoeXvsm2PEXqu10Env3wtNPkx43jtS2Pcd/7ShUW1sV/ZjJkGncBm/ZskT3ArYA\nCxd2sHJlmj1F/pWgMSs9GrPSNJRxGyihy6f0WRHe/QmAmZWTe+L3DMHMWZcXATsH2FYXPlcyUr6V\njjmvAoJSaPXEGnUzEBllencZKC9P09JygJUr0xFHJSJxl0+itg541MyuN7PrgccIrzPLwS+ABQBm\nNht4xt3bANx9C3CSmU0xs7HA28L9S0pb0/20XXsd6fJyEpmMuhmIjBLZugzs3KmG6iIyOGWdnbn/\nsjCzucDZBGuorXf3X+dxrH8F6gl6h36MYDHdlLv/1Mzqga+Gu/7Y3f9tEIfsjOs0cfXkWhIdwZ1d\n6ZoaUq7r1kBT+6VK4zaw/qXO+vo0a9ZEf1enxqz0aMxK0xBLn1kv7copUQv7ehrwqLtvG/IBiiO2\niRrQ3c0AIJ1I0H7T7aQbclrdZMTQL6LSpHHLbvbsnlm0uHUZ0JiVHo1ZaSpEopbLgreXAncBHwBa\nzOzNQz2G9OtmEDZ2H7/4gxFHJSKFoIbqIlIouVyjdjHwSndfQLAA7T8VNKJRpLubQSL4hX7CurXq\nZiBSwhoby5k4MdndUH3OHDVUF5H85JKoHXL3AwDu/gyQPM7+cgyZ6TNI7fiLuhmIlLh585IsX35C\nny4DTU1K0kQkP7kkav3n7zWfXwDqZiBSuqZNS7JxYzCLVlmpLgMiUji5rHs21cyuGeixu1+Vf1ij\n0/41a+loWkflkotIpNNUrr6dxIP3k9qwMerQRCSLpqYxLFmSIJ3uaaiuXp0iUki5zKjdAmR6ffR/\nLHlIN8w/uhRad0rEUYlIf4sXV7BoUWV3knb55YeUpIlIwQ15Rs3dvzQcgUhfKd/KiQsuYFxLc3BX\n6KnVHFrxVTqWXhp1aCKjXv+lN+6777AWsBWRYZFPZwIZZvvXrCV12x2ky8pIdHZStfwKTpo3N+qw\nREatbF0GduxQlwERGT5K1GIu3TCf1K4U6cpKACo2bqR6Wl3EUYmMPsuWJaivH9+99EZ9vZbeEJHh\np0StRKS2PMvhmcEaa4m2NqrrTlFjd5Ei6d1QPZFIc9tt7bFoBSUiI9+Qr1Ezs20EvT37KwM63f3F\neUclWe1rXs8JK65m/Krru7sZHKqfx/41a6MOTWTEqqtLdt8wUFOjWTQRKa5cZtReD7why0fX8zKM\nDl55ddDNIBn8735cSzPVs14acVQiI09jYzmnntqTpKnUKSJRyOWuz60AZlZO0O/zLIIZtvXufkdh\nw5NsMtNnkNq2h+pZLyWxezeJ3bupnlzL/ntayEyfEXV4IiVv3ryeBWzLytLcemt8GqqLyOiSzzVq\nq4ALAAf+ALzHzL5ZkKhkUFJP/FHdDEQKbMqUvl0Gdu1SQ3URiU4+idosd7/Q3f/d3W9w93cCswsV\nmAxO9xIeYWP3ytW3q7G7SA6amsYwcWKS9vaeLgNbtqjUKSLRyidRqzCz7teHpdBcWlJJnrJ2M1Bj\nd5FBW7AgyaJFlX0aqqvLgIjEQT6J1TrgUTN7MHz8RuC/8w9JctWnm0FYCm1feBHtK2+IOjSR2Jo1\nK8nu3cEsWjKZZts2JWgiEh85z6i5+wrgY8BWYAvwEXf/aoHikhxlLYXOPTPiqETip6vLQFeSNmGC\nkjQRiZ+cZ9TM7Bvu/klgfQHjkQLoKoVWT6sj0dZGYvNmqqecRmrLs1GHJhILy5YluhewhWDpDS1g\nKyJxlE/pM2NmbwIeBg53Penuuj0qJlKbdnDSvLlUbNxIor2d6ok1tN/8PdIN86MOTSQy/Ruq33ST\nlt4QkfjK52aCJcA9QDuQBo6EnyVG9jWvp+3a60iXl5PIZKhe9H5OXHBB1GGJFN1ADdWVpIlInOWT\nqE1x93J3H9P1GXhZoQKTwun2vxrBAAAgAElEQVRYeimpnXv7djOw0yOOSqR4VqwYq4bqIlKScip9\nhsty/CQsfZYRdCaoAO4CXlG48KSQUtv2UD17Jont20ns3Uv1xBr2P/CwuhnIiNa7y0B5eZqbb1ap\nU0RKx5Bn1Mzs/UArcA6QISh5ZghKoE8XNDopuNSGjbQvvAiARCajbgYyovXvMrBzp0qdIlJayjo7\nO3N6oZld7e5XFzacgurcs6ct6hhiq7z1SU5842tJZDIApCdNIrVhY6Qx1dZWoTErPXEct8bGcq66\naiyZTE+XAS1g2yOOYybHpjErTUMZt9raqrJsz+dz1+e/mtk7gJMJyp8AuPvNeRxTiiQzfQapnXup\nttNJ7N3b3c1Ajd2l1PUvdV5zzRGWLs1EHJWISG7ySdR+BjxPsOBtl05AiVoJUTcDGUmmTUvS1tZT\n6lSvThEpdfkkahXu/tqCRSKR2b9mLR1N66hcchGJdJrK1beTePD+yEuhIoPV2lrGuedWkE6r1Cki\nI0s+y3P83sxOKVgkEqmBGruLxN2yZQnq68d3J2kLF3YoSRORESOfGbVJwB/N7EmCOz8BcPf6vKOS\nyKR8K1UNbyL5+GMkOjqonljDoWu+QsfSS6MOTeQo6jIgIiNdXjcTFCwKiZW2pvs53Hgj4676HIlM\nhsTyK0iuvpV9zWrrKvHQ2lrG+edXdC9gW1OjBWxFZGTKufTp7g8S3EwwB5gNHA6fkxGgu5tBZSUA\nFRs3Uj2tLuKoRHpKneoyICKjQc6JmpldA3wNmAjUAavM7HOFCkziIbXlWQ7PnAlAoq2N6rpTSDSt\nizgqGa3mzk2yenXQCi2RSHPbbe2sWaMkTURGrnxKn28EXuvuzwOY2VigBfjKUA5iZgngVuB0gg4H\ni919c7990sCvej11rrtrYaQi2de8nhNWXM34VdeTSKepXvR+Ds6/gAO3fC/q0GQUmTIlSXt7MItW\nVZVm0yYlaCIy8uVz1+eYriQNwN2PEJRCh+oDwF/d/fXAtWRP9FLuPq/Xh5K0Ijt45dXsbXmEdCL4\nQ3nCurVUz54ZcVQyGjQ2ljNxYk+SNnOmkjQRGT3ymVF73MzWAveGj88HHs3hOOcCt4df34sWzI2t\nzPQZpHb8Rd0MpGjUZUBERrt8en2OAd4DnE3QkWA98CN3H9IBzewXwKfd/f+Fj7cB09z9cK999gNr\nCcqjP3b36wdx6Ny+MRmc88+He+/tebxkCTQ2RhePjDgnnggHDgRfjx8P+/dHG4+IyDDL2uszp0TN\nzF7i7n/q9bgSqHP3PxzndUuAJf2ePhs4s1eith2Y2i9RuxT4HkHy1QJ8xN0fO06Yaso+zBK9uhlA\n/o3d1XS4NBV63JqaxnDxxQk6O9VlYLjovVZ6NGalqRBN2Yd8jZqZnQv8ysyqez09FfiZmc051mvd\n/SZ3n9v7A7gNOC08dgIo652kha+70d33u/sB4D7gFUONWwovazeDOjWrkNwtXlzBokWVdHYmKCtL\nc+21B5WkiciolsvNBF8E3uzuqa4n3P0J4AJgRQ7H+wVwYfj124EHem+0wPfNrCy8s/R1wO9zOI8M\nk5Rv5VD9PIDgrtBTq0k23hhtUFJyZs9Osm5dBRAsvbFrV4euRxORUS+XRK0sTMz6cPffA+NyON4P\ngHIzewj4GPA5ADP7rJm9xt0d2Ab8mmCJjrvd/dc5nEeG0f41a0nddgfpsjISnZ1ULb+Ck+bNjTos\nKQGtrWVMntzTCmrChDQ7dmgWTUQEcrvr88RjbBty3StcamNxluf/tdfXnxnqcaX40g3zSe1KUT3l\nNBLt7UE3gymnkdrybNShSUwtW5boXsAWgi4DWsBWRKRHLjNqT4QX9/dhZlcAj+QfkpS6Pt0M2tup\nnlijbgZylNmz1WVAROR4cplR+zRwp5ldRLBuWjnBdWP7gPkFjE1K2L7m9SR7NXavXvR+DtXPY/+a\ntVGHJjEweXJSDdVFRAZhyDNq7v5seLfmF4BNwJPAJ9z9HHfXSkfSrbuxezKYNRnX0kz1rJdGHJVE\nqavLQFeSNmeOkjQRkWPJuTOBu99HsFSGyDGltu2hetZLSezeTWL3bnUzGKXUZUBEZOjy6fUpMmip\nJ/7Ys4RHRwc19WdTuezj0QYlRTNlSk+SVlmZZudOLb0hIjIYStSkaLqX8Agbu1euvl2N3Ue4bA3V\nt2xRqVNEZLCUqElRZe1mMLmW8tYnI45MCq2hIcny5SeQySQoL1eXARGRXChRk0j06WYQlkL5/Oej\nDUoKZtasJI8/HsyiJZMqdYqI5EqJmkSmuxRaXh488ZWvqJtBievqMrB7d5CkTZqUZts2zaKJiORK\niZpEKt0wP1jCo7ISoLubgZSeZcsS1NeP7156Y/78w2zYoCRNRCQfStQkFlJbnoVXvALo6Wagxu6l\nI1uXgVtuORxxVCIipU+JmsTHb39L27XXkS4vJ5HJqLF7iaiooLuhek1N0FC9oeH5iKMSERkZlKhJ\nrHR3M+hdCp1WF3FUkk1jYzmnnpoknQ4e19ery4CISKEpUZNY6tPYva2N6rpTtIRHjMybFyy90dmZ\noKwMNVQXERkmStQktvY1r6d94UUAJNJpdTOIif5dBp5/HpU6RUSGiRI1ibX2lTeom0FMqMuAiEjx\nKVGT2FM3g+h1lTrVZUBEpLiUqEnJyNbNQKXQ4Tdtmhqqi4hERYmalJSsjd3nnhlxVCNTU9MY6uqS\ntLUFP+upU1XqFBEpNiVqUnK6S6FVVQAkNm9WN4MCW7y4gkWLKkmngyRt4cIO1q9XkiYiUmxK1KRk\npTbt6FnCQ90MCmb27CTr1lUAQUP1lpYDrFyZjjgqEZHRSYmalLR9zevVzaBAuhqqd3UZmDAhaKg+\nfXpnxJGJiIxeStSk5GXtZqBS6JCsWDG2T0P1+vo0TzyhUqeISNSUqMmI0aebQXs71adWawmPQZg3\nL8mqVeMAKC9Pq8uAiEiMKFGTEaW7FFpWRqKzU0t4HEf/LgM7d6qhuohInChRkxGnY+mlpHalSJeX\nA+pmkI26DIiIlAYlajJipXbuVTeDLNRlQESkdChRkxFN3Qz6ylbqVJcBEZH4UqImI17WbgajrBTa\n1DSGKVNU6hQRKTVK1GRUyNrYfVpdxFEVR1eXga4k7fLLD6nUKSJSIpSoyaiS8q10zHkVAIm2Nqqn\nnDaiuxn07jJQUxN0GbjyyiMRRyUiIoOlRE1Gnbam+4MlPCorSbS3j8huBtm6DLiry4CISKlRoiaj\nUsfSS0lteba7sftI6mawbFlCXQZEREaIWCRqZnaOme02s7cNsH2hmT1qZo+Y2YeKHZ+MXCOtsfvs\n2UlWr04CkEioy4CISKmLPFEzs2nAp4BfDbB9PHAVcB4wD1hmZicXLUAZ8bI1dq9qeFPUYQ1Z71Jn\nTU2aHTvUZUBEpNRFnqgBO4F3AakBtp8NPOruKXc/SJDQva5Ywcno0L+xe/Lxx6ie9dKIoxqcri4D\nXaXOOXOC69FERKT0jY06AHdvBzCzgXY5DdjT6/FuYOJgjl1bW5VXbFJ8kY/ZgQNw+unw9NNU7N5N\n7YsnwGOPwctfHm1cA/ibv4Hf/S74urwcVq6Ef/zHCqCiqHFEPm4yZBqz0qMxK035jltREzUzWwIs\n6ff0F93950M4TNlgd9yzp20Ih5Wo1dZWxWPMHnuCExdcwLiWZjh0CGbNon3hRbSvvCHqyProvYBt\nZWXPArZ79hzrVYUXm3GTQdOYlR6NWWkayrgNlNAVNVFz95uAm4b4smcIZtW61AHrCxaUSBb716yl\no2kdlUsuIpFOU7n6dhIP3k9qw8aoQ6OxsZyrrhpLJtPTZUAL2IqIjExxuEbteB4BzjKzF5jZiQTX\np/0y4phkFMjazSDixu4NDWqoLiIymkSeqJnZfDNrBt4KfMXMfhE+/1kze014A8FngZ8D9wJfcveB\nbjwQKbhsjd1PWHF10eOYNSvJ448Hs2jJpBqqi4iMBmWdnSN2pfJO1fNLS9yvwUg0raPykg+SyATJ\n0eGZM9nXPPxV+NbWMs4/v6L7rs5Jk9Js2BCfWbS4j5scTWNWejRmpWmI16hlvQY/8hk1kVKRbpjf\nZwmPYnQz6N9lYP78w7FK0kREZHgpURMZotSWZ4vSzSBbl4Fbbjlc8POIiEh8KVETyUG2bgaFbOxe\nV6cuAyIiokRNJGf9uxlUbNxI9bS6vI7Z2FjOqacmSad7Gqqry4CIyOilRE0kT31KoW1tVNedktMS\nHvPmBUtvdHYmKCtTQ3UREVGiJlIQ+5rX077wIgAS6TQ19WdTuezjg379lClJNm7s6TKwa5dKnSIi\nokRNpGDaV95A6rY7SCfChGv17VTPnnnM13Q1VO9qBTVzZk8rKBERESVqIgU0lG4GXaVOdRkQEZGB\nKFETGQbZuhn0LoVOm9a31KkuAyIiko0SNZFhsn/N2qNKoQ/O+hR1dUna2oLnpk5VqVNERAamRE1k\nGHWXQququIu3ceHub3cvvbFwYQfr1ytJExGRgSlREymC1KYdvHjOyVRwkKmT2mhpOcDKlemowxIR\nkZgbG3UAIqPF5KYbeKBpEy9reAnQGXU4IiJSAjSjJlJEQZImIiIyOErURERERGJKiZqIiIhITClR\nExEREYkpJWoiIiIiMaVETURERCSmlKiJiIiIxJQSNREREZGYKuvs1MKbIiIiInGkGTURERGRmFKi\nJiIiIhJTStREREREYkqJmoiIiEhMKVETERERiSklaiIiIiIxpURNREREJKbGRh1APsxsIXAFcAS4\nCrgYqA03nwysd/cPm9mngQuBTuBL7n53BOEKWcesDfgXIA0cAP7B3fdqzOIly7htAr5DMD5PAZe5\n+5Fwv08CzwPfcff/iijkUc3MPgT8Q6+nXgW8DvhPgjH7rbtfFu6r91oMDDBmJxH8fvyQu9f22ldj\nFhMDjNtrgX8n+D24F/iAu7fnOm4lu+CtmZ0C/C8wBziR4Jv+cK/tNwM3AnuANcBrgGrgl8DL3T1T\n9KBHuWxjBswGFrq7m9nnCf5h/wCNWWwMMG6nAje6e5OZfYEgcbsL2AC8GjgMPArUu/tzkQQuAJjZ\nOcB7gJnAFe7+qJl9H/gu0Irea7HTa8x2AH8FrnH3F4bbXoLGLJZ6jdss4NPu/msz+xrwJ6CJHMet\nlGfUzgPudfc2glmZ3kmaAS8If0iXAE3ufhjYY2ZbCX5h/S6KoEe5o8bMzH4GnBJurwEceCMaszjJ\nNm4bgV+H238OfBR4FnjU3VMAZvYrglmc/yl+yNLLVcBioMXdHw2f+x+CcZ2I3mtxdBWwEDjg7m1m\ndk2vbfr9GF9d49bu7vvC5/YQ/I3LedxKOVGbAlSa2VqCP/BXu/t94bZPAN8Kvz6N4AfVZTfBLyf9\noy6+KfQbM2AZ8KCZ7SWYIv4cQYlNYxYfUzh63H4HzAduB95CMMM20HtNImJmZwHbCErWe3tt6hqb\nv6D3Wqx0jZm7PzvALvqbFkPZxs3MxgMXEZQ730mO41bKNxOUEWSp7yK4Nu0WMyszswrg9e7+wDFe\nJ9E4asyAG4B3ursBDxHMzGR7nUQn27j9M/AeM7uf4PdItjHSuEVvCXBrlucHGhuNWfQGGrOBaMzi\noc+4hUnaWuDf3P3JLPsPetxKOVHbBTzs7kfcfRNBSaYWOIeekgzAMwT/A+lSFz4nxZdtzN7o7r8K\nt99DcCGmxixeso1bh7u/zd3fBKwHtqBxi6N5wMP0lF+6dI2Nxix+5hGM2UA0ZvE0j3DczGwswTW7\n33f3W8PtOY9bKSdqvwDeZGZjwoudTwT+DJwF/L9e+90PzDezCjN7EcEPZ2PRoxXIPmZPmNnMcPtZ\nwB/QmMVNtnH7RzObH25fTHDN0yPAWWb2AjM7keD6tF9GErEQvnf2u/thd08DrWb2+nDzu4Cfofda\nrPQes2PspjGLmSzj9hmgud9d7zmPW8leo+buO8xsDcH/5gH+0d2fN7OJBHegde33tJk1Ai0Et8Re\n5u7PFz9iyTZmBMl1o5mlgeeAS9z9rxqz+Bhg3Bz4rpldDfzS3dcBmNlnCW4u6Lr9PBVByBKYSHAd\nTJdPAt82szHAI+5+L4Dea7HSZ8zM7FvAK4BqM2sG1rr79Rqz2On/XvsYsMXMzgsf3+/u1+Q6biW7\nPIeIiIjISFfKpU8RERGREU2JmoiIiEhMKVETERERiSklaiIiIiIxpURNREREJKZKdnkOEZHBMLPr\nCBrFjwP+lqDBPMB/AeVAeb/1jvI9363AmcA3ei122Xv7N4C/J2h7d9R2EZHelKiJyIjm7lcAmNkU\n4CF3n1eE037S3ZsHiOeTZvbXIsQgIiOAEjURGbXCBXvHuvuVZrYfWAG8HagA/gVYChjB4pS/MLMX\nA/8BVBJ0aPh818KxAxz/vQR9UQ8Q9PZb7O6bh/FbEpERRteoiYgExgOPufvrCBKrt7v73wFfBj4a\n7vOfwNfDHqcXADeFff0G8nng4+Es3hUEbWNERAZNM2oiIj0eCj9vp6cx9nagOvz6jUCVmX0xfJwG\nJjBwc+VbgVvN7MfAT9z9kYJHLCIjmhI1EZEeRwb4uiz83AG8y93/PJiDuftKM/s+8FaCPps3ufu3\nCxOqiIwGKn2KiAzeQ8B7AMzsheEdnFmZWbmZ/SuQcvfbgKuBuUWJUkRGDM2oiYgM3uXAd8zs/UCS\n4OaDrNw9Y2Z/Bh42s729Xi8iMmhlnZ2dUccgIjJihOuo3TrQ8hzhPlcDW7SOmogcj0qfIiKF9w0z\nuzjbhrBcmnWbiEh/mlETERERiSnNqImIiIjElBI1ERERkZhSoiYiIiISU0rURERERGJKiZqIiIhI\nTClRExEREYkpJWoiIiIiMaVETURERCSmlKiJiIiIxJQSNREREZGYUqImIiIiElNK1ERERERiSoma\niIiISEwpURMRERGJKSVqIiIiIjGlRE1EREQkppSoiYiIiMSUEjURERGRmFKiJiIiIhJTStRERERE\nYkqJmoiIiEhMKVETERERiSklaiIiIiIxpURNREREJKaUqImIiIjElBI1ERERkZhSoiYiIiISU2Oj\nDkBERjYzezfwBWAc8GfgUnd/Is9jNgBXAScDCeB3wGfd/ck8w801nvcCTe6+r4DHXAx8Jnw4ETgM\n/CV8/DHgPGCru99YqHOKSPyUdXZ2Rh2DiIxQZvZi4HHgVe6+1cw+ASx091fnccz5wE3AAnf/lZmV\nAUuBfwFmuvvuQsQ+xJhagfPcffswHf9W4I/uvmI4ji8i8aUZNREZTmngA+6+NXx8H3ANgJmNAb5F\nMDNUATwEXOLu6eMc82rgi+7+KwB37wS+Y2Y7gINmdjHwQXc/LzxP9+Mw4XkuPOeXgZcDdcArge8D\n3ySY/VtIMAN4J/Apd8+YWTOwFngX8BKgBfgA8F+AAc1mdrG7P9Tr+9sBvM3dHw+f+yQwF1gCfBeY\nDiTDn8tHB/G9d+udvJnZFuDrwOLw+7kMOBd4K7AHaHD3vWY2E/hPghm6DmCxuz822HOKSPHpGjUR\nGTbuvtPd7wEws7HAxcBd4eZ3Am8AZgEzgDnAe491PDMbH+63Lsu51rl72yDCOhd4tbv/KHz8d8Df\nufs3gA8C7wFeDUwLPy7r9dq3A+cDZwBvAl7r7peE2+Z1JWlhPM8DPwUu6PX6dwI/BBYBf3X3GeGx\njhAkjfmY5e6zCRLQ7wI/Al5K8Hv+XWHieCdwu7ufAVwK3BWOi4jElBI1ERl2YclzF0Fi9hkAd/8x\nQUk07e6HgEeBqcc5VA1QFh4rV/eF5+vyiLv/Ofz67cDN7p5y9yMEJdZ39dp3jbsfdPcDwFPAi49z\nrjWEiZqZvZBg5u5uYDfwGjN7M1Du7pe5+2/y+J4gSMIguF7voLs3h7ONvwdeRDB7NwG4GSCckdwD\nvDbP84rIMNL/pERk2Ln7N81sFfA+4OGwBHci8C0zmw08D5wGfOM4h3ou3LcO2HqcfY91jIEevwD4\nZzP7cPh4LEEy0yXV6+sMUH6ccz0I1IXX6p0HrAuTxB+Z2ckEs1/Tzex7BCXWjqF9K310zSZmgP1Z\n4nwBUAk8aWZd204CTsnjnCIyzJSoiciwMbMZQJ273xvO7txhZjcQXNP1UYJr2F7h7h1mtvp4x3P3\ndjP7NfBu4Pp+51pGcA1Z/wSqZgghPwOsdfcbhvCaAYXXtt1JMFP3FoLr2bq2fRv4tpnVAT8GLgIa\nC3HeATwD7HP36cN4DhEpMJU+RWQ41QK3m9mLAMzsdQTLaWwmKMP9LkzSXgm8jmCW7Xi+ACw3s7eG\nxywzs8uATwJ/BXYGT9s4M6sEFgwh3ruAfwhfh5l9xMwWDeJ1RwhmrLJZQ5CovRr4WXjcL5jZJQDu\nvgP4EzDct+BvBbab2YIwhhea2R3hdX8iElNK1ERk2Lh7C3AtcG+4hMV/AO8L1xv7OnCpmT1JsC7Y\nPwFLzOxCM3unmd08wDHvJSihftHM/gg8SXDt2xvc/S/AA8AjBNeQNdFz88Jg3An8D7AhjPcC4OeD\neN0PCUq678my7X7gVcA9vUqb3yVICD08z+HwuWETzmi+D/h4eM4Wguv1DgzneUUkP1pHTURERCSm\nNKMmIiIiElNFv5nAzFYSLPjYCXzC3R/tte08gtXFM8Dd7v7l8PnrCEobY4GvuPtPih23iIiISLEV\ndUbNzM4BXuburwE+BKzqt8sqgru5Xge82cxmmtkbCRZyfA3BKtvHu31fREREZEQodunzXMJFGcPm\nyTVmdhKAmU0FnnP3beGK3neH+7cAF4av/ysw3syOt3aRiIiISMkrdunzNIIGzV32hM/tCz/3Xlhy\nNzDN3TNA111JHyIoiWaOd6LOzs7OsrKyggQtIiIiMsyyJi1RL3h7rEyqzzYzewdBovbmQR24rIw9\newbT9k/iora2SmNWgjRupUdjVno0ZqVpKONWW1uV9fliJ2rPEMycdXkRweKU2bbVhc9hZm8BlgNv\ndffeLVxERERERqxiX6P2C8JVwsP+fs+4exuAu28BTjKzKWY2Fngb8Aszqwa+BrzN3fv36BMREREZ\nsYo6o+buD5vZ42b2MEFj5Y+Z2cVAyt1/ClwG3BHu/gN3fypsjvxC4Ie9Gglf5O5PFzN2ERERkWIb\nyZ0JOlXPLy26BqM0adxKj8as9GjMStMQr1HLet2+OhOIiIiIxJQSNREREZGYUqImIiIiElNK1ERE\nRERiSomaiIiISEwpURMRERGJKSVqIiIiIjGlRE1EREQkppSoiYiIiMSUEjURERGRmFKiJiIiIhJT\nStREREREYkqJmoiIiEhMKVETERERiSklaiIiIiIxpURNREREJKbGRh2AiEjUGhqSHDwYfH3CCdDU\n1BFtQCIiISVqIjKqmSXZuzfR57nJk2HbNiVrIhI9lT5FZNRasKAnSZs0Kc3UqWkAOjoSmCWjDE1E\nBFCiJiKjVFPTGFpagiRt/vzDbNjQwfr1Hdx2WzsAe/cmWLBAyZqIREuJmoiMSsuXB0na1Klpbrnl\ncPfzDQ3Ps3BhUPZsaUnQ1KRfkyISHf0GEpFRZ/HiCrZvDxK1W289fNT2lSt7yqCf/nTiqO0iIsWi\nRE1ERpXW1jLWrasAYOHCDqZP78y6X1cCt3t3goYGlUBleN28YnfUIUhMKVETkVHl4ouDJG3q1DQr\nV6YH3G/69M7uEujjj6sEKsPn5hW7+eyqqUrWJCv95hGRUWPZsgSbNwelzC9+ceAkrcvKlWkmTQr2\nu+wylUBlePx+0wlAJ5NOPf6/SRl9lKiJyKjQ2lrG6tVBCbO+Pk1Dw/ODet2GDR1UVqZpb08wZYpK\noFJYjY3lfHfdRD7Et2l4w76ow5EYUqImIqPCO94RlDwnTEizZs3QFrP92c+C69Xa2xNMnqxkTQpn\n48bgz3Atexjzp80RRyNxpM4EItLH4sUV/OlPZX2eO3QIxo0Lvr7xxsMDXoAfV7Nn9yxsu2bN0Xd5\nHs/06Z1ce+1Bli8/gY6OBBMnglmwrblZHQwkN71nec/mUcY+niLdMD/iqCRulKiJCBD80XjrWyto\nbz/2tVj19QmmTk1TU1MaPTFnzUqye3fwPR3rLs/jWbo0w6RJ7VxySYJMJsHGjcHzXUmbEjYZqiuv\nDGZ56+vTnHfmGYxfdT1H5pylZE36UOlTRGhsLKe+fnx3kjZhQpqZM3s+pk4NPicSwcXOmzcnePzx\nBHV1Sc44A+bNS9LYWB7lt3CUxYsrmDy5J0mbM+fYd3kORkPD8+zc2dH9MwHCpC3BxInx+xlIfDU2\nlnd3xnjLW45wZM5ZEUckcaUZNZFRrrGxnOXLTwCgvDzNNdccYenSzID7NzTA3r1BspZOJ/jDHwAS\nLF+e4JvfTPPCF/bse+gQfOhDxz5eobS2lnHxxRWMGwdbttBnZnD+/MN9ug/kq2v2rLX1MJdeWoF7\nkLAtX57gJz9Jl8RMo0RnwYJkd5I2dWo6eH80BdvGbN8WYWQSR2WdncW91sTMVgJzgU7gE+7+aK9t\n5wH/AmSAu939y8d7zTF07tnTVujwZRjV1lahMSuu1tYy6uvHA5BMptm2bfAJRmtrGZdeWkE6XcGO\nHYePWTKdMKFvAgd9r3vrL9u2E06A8eNh+/ajtx06RPeyG/3P+7WvDf4Oz3xMmZLs/hlUVaVZvDjD\nlVceGfbz5mK0v9caGpIcPBh8PdR/h/lu27QJOjqCfyeVlWm2bAnec8nGG6lafgWdwF9bHiEzfUaf\n1432MStVQxm32tqqsmzPFzVRM7NzgE+7+9vMbAZws7u/ptf2jcBbgB3Ag8BHgNpjveYYlKiVGP0i\nKr5p05K0tSX6/MEYqq5xy3YTQu8/SsVQXp7uvsh/4cLizOT1Nndusk/CWFOTZuLEvvvE4WaMUnmv\nNTWN4atf7fl5FiJx+sMfIJ2Ofk28SZPSbNjQ9z134oILGNfSzKH6eexfs7bPtlIZM+mrEIlasUuf\n5wJ3Arj7k2ZWY2YnuRA3Yy4AACAASURBVPs+M5sKPOfu2wD+P3v3HSdnVe9x/PNM25ZNZVMgSBLU\nk4BYqCKEIqA3BlBQikaQSBEVcwGBiyAQDEHFglJFAjeigHDhirRAAAVCqOIVgbAnQBYhRMiGJJvN\n1inP/eN5Znd2M7M7W6bu9/16zWtmnvOUM3t2Zn5zqjHmQX//ukzH5DnvImXloIO8IK22Nsqbbw69\nqS5T0+L8+e42ARwM7Es3tcYsXe0ceDVuhW5yfPbZDi67LM6SJUFaW8Ns2hRm06ae+xxwQJipU6OM\nHp3+HPmo4QkGIR6v6Pe4fOUnXdqWLXStx5oLM2ZEqawszOvL1B0g/snd4cnHqXzycYJmJ9zUKD8Y\nZHTcO8Zpb8fNcIF8p2V7bHz6h+k89qsaKDEI+Q7UJgMvpjxv9Ldt8e8bU9LWAzsD2/VxTJ/q6mqH\nmN1e/vxnuOii7nfhqafC9743vNfIhVNPheee23Z7tp80NTXwzDO5y1+KYS8zSevqq+katbh4cYS6\nusiQztdXud1//5BO3eXVV+GNN7rnQ0tvaK9jOPz6197tK1+B1at7ptXXQzQKa9cWPp/F8LfKRmUl\nfOQj3uPhCpxuvx123bWQrz/DtX/9C1h2H7z+OpFNm+gd5Zf0DH6rVlH9wL3woQ/BmDHetkL9Cshn\n2urVQ/5eK/RggrTVfP2k9XVMD8NZTRxe9gBjvvHVnhsXLCB62WW4KT/v0/2y2PL4s8OWj0xq5n+d\nYMMb22x33nqLcGvrkM8fjURw/U/LbH49RQ/9D9p+uLDPc4aXPUDVTxd1HRepqaEjvu2vzHTXi0//\nMC3//YdBvBIBuOKKCiDMLrtEOf74Dhob+z0ko3w1yUyc6N2Gktd8uv769NvnzKlg06bCfpcEgxHi\n8c5+j8tXfjKlbbcdA56cOFtF+3+08kVq5n+d0Guv9PjcqwgGuz4fS61Gja1bCa/31zF9++2M5ylH\nzkc/SuPKF/vfkcw/ePMdqK3Dqw1L2h74d4a0HfxtnX0ckzfROXNp+t3tVP10kfeP9957hFtbvX++\n9X0vpDtmyjhcY9L+M7f910VZVwUH61+j5vT5Pbal5qXP/I8b17ManezemE57O+E1awhHo91VMFmI\nrFpF5Pf/3eOaqddztmwhvHbttsdle4FVqwhNmwyTJ3ed062qpnnZX7LO40g1f36EtWu95jfN/ZV/\nhW6eBairi9DYWPh8SHrpfoTW1dWypYT7qFXc+BvCDz9IYEP392UxBZy5SousXg1DLLd8Dyb4DHCp\ntfYwY8zuwFXW2v1T0l8F5gJrgWeAeXhNnxmP6UPOBxOkq8XqXWiOtYTT1BKlik6dCpFI379IgPCa\nvpcXiU6c2KN2L3ls5+Ff6rd2qy+9A8R+fz01NhJuzu5vH62owN155wHVqDkbNnT/Out9vnCY2Ofm\nqLYtg9RRngsWtA/LqER1ci49KrPSozIrTSU36hPAGPMT4AAgAXwX+BTQZK39kzHmAOCn/q53W2t/\nnu4Ya+1LWVyqaEZ9jj7o00CagOPNNwl3DOxXbTQc7mqCTD1nx7yT6Dj19OHJ8DCoPusMQv/3tx7b\ner/+xHYTe4xsGsg/dMWNv6Hi1qXb1PwlRceNo8n+a2gvogzNnx/hgQci7LLL8NWm6Quk9KjMSo/K\nrDSVZKCWR0UTqPVl1FeOJLBhfVZVq+XetDfUD6Jg/WuM+soRXbVt0dpamt58d7iyV/JSa9MWL24b\ntqkr9AVSelRmpUdlVppKcXoO6aX3XDkyePGZs2h65Q2qzzqD6ltvIdzczJiPfZimV7YdZDES3XWX\nt7zRAQdE8z6/mIiIDI7W+pSy03rlNbTOOxGA8Pr11M75bIFzVBxWrvQCtR13zP0s/SIiMjwUqElZ\nar3yGtoPOAiAihf/RtVlCwuZnYK78cYgL74YHpaFyUVEJH8UqEnZ2nrXvURnzACg+qpfEqx/rcA5\nKizHcbnyyuFbmFxERHJPgZqUtaZn/0F04kQcYNRJX+13/3K0bFmACy+swnWdtEs5iYhI8VKgJmWv\n9We/Brx56EZiE+iLL3pv87lzO5kzR/3TRERKiQI1KXvROXO7+qtF7r+nsJkpgH/8wxtE8JnPaKSn\niEipUaAmI0Kyv1p4zRpq5n+90NnJm8suC/Hkk2FNySEiUqIUqMmI0Xn4lwCofODeETew4POfH/pS\nUSIikn8K1GTEaPvhQjr22BMHqLjh2kJnJ+fq6x2uvtpb7WLq1LJdgUREpKwpUJMRJbbfAQBU3XpL\n2deq3XVXENfVIAIRkVKmQE1GlNRatchddxQ6Ozn1wQfeVBwaRCAiUroUqMmIk6xVC/7j7wXOSe4s\nWxbg1lsrcByX2bNVmyYiUqoUqMmI0/mV43CByicfp+LG3xQ6Ozmxdq1Xm/a973Uwc6b6p4mIlCoF\najLixGfOonXB2YXORk6tWuW9tSdNUpAmIlLKFKjJiNT5leNwIxGCq14pdFaGnZo9RUTKhwI1GZHi\nM2fRdszxVN96S9ktK6VmTxGR8qFATUas+C4fA8D5YEOBczK83n/fC9TU7CkiUvoUqMmIFZt9IG4g\nQPWttxBe9kChszMs6usdrruugkBAzZ4iIuVAgZqMWPGZs2g940wAAmvfKXBuhseKFQFiMYczzlCz\np4hIOVCgJgKEH36w0FkYFmr2FBEpLwrUZERr++FC2g84qCzmVKuvd7jmmgpAa3uKiJQLBWoy4kU/\n/4VCZ2FYrFgRIJFwmDevQ2t7ioiUCQVqIr5Sn1MtWYv2uc9pbU8RkXKhQE1GvI5TT6d13oklP/rz\nxRe9t3NyHjURESl9CtRE6J5TrVRHf2paDhGR8qRATSRFqTZ/aloOEZHypEBNhPKZ/FbTcoiIlBcF\naiJ4k99uXfSTQmdj0JLzp2laDhGR8qJATaSX0IsvFDoLA7JsWYCrrqpkwYJ2TcshIlJmFKiJ+BJT\ndwSg+tpfE6x/rcC5yV5ylKeaPUVEyo8CNRFfdM5cWhacjROPE2hYU+jsDJiaPUVEyk8onxczxoSB\npcBOQByYb61d02ufecCZQAL4rbX2JmNMCLgJ2NnP8znW2qfymXcZGRKTJgOlM01Hfb3DxRdXFjob\nIiKSI/muUfsasNlauz+wGPhxaqIxpga4GDgUOAg4yxgzHjgBaPGPOxn4ZT4zLSNHsvmzVDQ0OMTj\njvqniYiUqXwHaocAf/IfPwrs1yt9H+AFa22TtbYNWOnv8wfgbH+fRmBCHvIqI1Bi+gzccJhRF/2g\npPqp7bGHgjQRkXKU16ZPYDJeoIW1NmGMcY0xEWttZ+9033pgirU2CkT9bWcCt2Vzsbq62uHJteRN\nwcusbm845xz48Y8Z/4/nYPbehc1PP+rrvfumphrq6gqXj4KXmwyYyqz0qMxK01DLLWOgZoz5Sz/H\nOkDCWntIhuNPAU7ptXmfNOfo7xqp5/wusDtwRD/HAdDY2JzNblIk6upqi6LMwjM/zhigaUwd0SLI\nTyb19Q4//3k1gQB88pOtNDYWZjBBsZSbZE9lVnpUZqVpIOWWKaDrq0atCji+j3QHuD1TorV2CbAk\ndZsxZilerdlL/sACJ6U2DWCdn560A/Csf+zJeAHal/waNpGcKvYBBQ0NDtGow+LFbVo2SkSkTPUV\nqC201v4rXYIxZra1doUxZuEAr7ccOAZ4GC/o+muv9OeAJcaYsUAMr3/amcaYGcDpwIHW2vYBXlNk\nUEZd/ANisw8kPnNWobOSVnL+NBERKV8ZAzVr7cOpz40xU4FvAPOBLcDuvffJwh3AYcaYp4AO4CT/\n3OcDT1hrn/EfPwy4wKXW2iZjzH/hDSB40BiTPNfnetXGiQyL5HxqNVf9kkDDmqIN1JI0f5qISPnq\nczCBMaYCOAr4JvBpoBM4wlr7zGAuZq2N4wV6vbf/JOXxXcBdvdIvAC4YzDVFBiO2x16FzkKf6usd\nFi6sJBRymT5dgZqISLnKOD2HMeY6vD5j3wXuxOsv9s5ggzSRUlSs/dSS/dMuvbRd/dNERMpYX/Oo\nHQu8izcg4DZrbTNec6TIiDHq4uKeT03NniIi5a2vQG17vNUD5gHvGmOWADV5yZVIgRX7up8vvui9\ndTWgQESkvGUM1Ky1ndbaO6y1nwM+BawFKowxLxtjvpO3HIoUSLH2U6uvd7j++goCAZfZs7UigYhI\nOctqCSlr7VvW2oXAdOD7wAG5zJSIZJbsn7ZokfqniYiUu36XkDLGVAGHAWPoXingwVxmSqSYhF58\ngeicuYXOxjbUP01EpPxls9bno3jTcqxN2eYCt+QkRyJFInU+tdgeexVlsCYiIuUtq0XZrbUH5zoj\nIsWoGPupJQcSiIhI+cvmE/+vxpjZxhh9O4gU2LJlAa66qpIFC9qZM0cDCUREyl02NWqdeGtyOv7y\nTQ7gWmuDucyYSDEptolv99hDQZqIyEiQTS3ZPGBnIOLfwv69SNlLTJ+BGw4z6pILi3riWxERKU/Z\n1Kj9H/Cuv06nyIgSnzmLrQsXU3vheSWxQLuIiJSXbAI1F1hljPkbEEtutNaemLNciRSRxNQdC52F\nLhpIICIysmQTqD3k30SkgDSQQERk5MkYqBljfmmtPdta+7v+9slN1kSKS7FMfKuBBCIiI0dfNWpH\nGWM295HuAF8CFKhJWdPEtyIiUih9BWoLszj+0mHKh0hRK4aJb9eudfrfSUREykrGQK2vJk+RkSYx\nfQZuMEhi+oyCXL++3mHhwkpCIZfp07XGp4jISKEhZCJZCDSswYnHCTSsKcj1GxocolGHSy9tZ+ZM\nBWoiIiOFAjWRAQi9+EJBrjt9uksw6DJ7tgYSiIiMJP0GasaYn6TZtiQ32REpTqkDCsLLHsj79Rsa\nHOJxh4YG9VMTERlJ+pqe4yjgaOBQY8z2KUkRYHauMyZSbAo5oEADCURERqa+Rn0+BKwH9gQeS9me\nAC7JZaZEpJsGEoiIjFx9jfpsA1YaYz5lrW03xjh4c6eJjEiFGvmZHEiweHGbBhKIiIww2QwmOMOf\n+DYGRFPuRUaU5MjPyF13FOT6U6cqSBMRGWmyWevzZODj1tq3c50ZkWJWqBUKkiM+1ewpIjLyZFOj\n9rqCNBFPIQYUrFgR0IhPEZERKpsatZeNMbcBj+M1ewJgrb05V5kSEY8GEoiIjGzZBGrbAx3Avinb\nXECBmow4+R5QoIEEIiIjW7+BmrV2vjEmAEy01r6XhzyJFK3kgILQiieIz5yV8+tpRQIRkZEtm5UJ\nPgu8idf0iTHmSmNMfnpRixSZxPQZuOEwoy65kGD9azm/nlYkEBEZ2bJp+rwc+DTwR//5YuB+YMDr\n6BhjwsBSYCcgDsy31q7ptc884Ey8iXV/a629KSVtElAPHGWtfXyg1xcZqvjMWWxduJjaC88j0LAm\nL7VqIiIycmUz6nOrtfb95BNr7Qagc5DX+xqw2Vq7P17A9+PURGNMDXAxcChwEHCWMWZ8yi4/A3oE\ndiL5lpi6Y96utXatQzisgQQiIiNVNjVqbcaYAwHHGDMOOB5oH+T1DgFu8R8/yrYDEvYBXrDWNgEY\nY1YC+wH3+U2wzcDLg7y2yLDI14CCZcsCXHhhlQYSiIiMYNkEat8Brgf2At4AngJOG+T1JgONANba\nhDHGNcZErLWdvdN964EpxpgI3vqiXwR+le3F6upqB5lNKZSSKLOn/w3xOOP/8RzM3jtnlxkzxrvf\ndddq6upydplhURLlJj2ozEqPyqw0DbXcsgnUtrPWHj7QExtjTgFO6bV5n17P++shnUw/H7jRWrvZ\nGJN1Hhobm7PeVwqvrq62JMosOH4KY8NhOPv7bP7kPjnrp9bUFACqaWpqpbGxeEd9lkq5STeVWelR\nmZWmgZRbpoAumz5qvxhAnrpYa5dYaz+degN+h1drlhxY4KTUpgGsS6b7dvC3fR5vzdFngbnAdcaY\nXQeTL5GhSg4ocGJRAg256zKppaNERCSbGrW3jTGPA8+SMojAWnvxIK63HDgGeBg4Avhrr/TngCXG\nmLF4qyDsB5xprb0/uYMxZimw1Fr76iCuLzIsYrMPzHk/tdSlo9RHTURkZMomUGvwb8PhDuAwY8xT\neKsdnARgjDkfeMJa+4z/+GG81Q8uTQ4sECkmyYlvczVFR329w6JFlSxe3MacOcXb7CkiIrmVVY2a\ntfa/h+Ni1to4MD/N9p+kPL4LuKuPc5w0HHkRGQ6Bte/k5LwNDQ7t7Q5Tp6omTURkJMumj9rRxpgx\nOc+JSAnpWqHg0ovyskKBiIiMTNnUqFUBbxljLD37qB2Qs1yJFLn4zFlsWXILo08+MSfn10ACERGB\n7AK1RTnPhUiJSo78HO5+aqlrfGoggYjIyJVNoBbMeS5EpActHSUiIpBdoHZRyuMIsCuwEvhLTnIk\nUiJytZSUlo4SEZGkfgM1a+3Bqc+NMRPptZi6yEiUnKIjctcdtP1w4bCdN9k/bfZsTcshIjLSZTPq\nswdr7XogN2vmiJSQ6Jy5tCw4m5qrfkl42QPDdt7U/mkiIjKy9VujZoz5Pd7ks0k7AvGc5UikhHR+\n5Tiqr/11TlcoEBGRkSubPmqPpjx2gS14S0GJjHi5WKFAU3OIiEhSn4GaMWa6tfZ3Kc+rgR2sta05\nz5nICKU1PkVEJCljHzVjzCHAyl6rEswAHjLG7JHznImUkOFaSqq+3uGyy7TGp4iIePoaTHAJ8LnU\nRdGtta8ARwKX5TpjIqUgOmcuzYuvYNTCHw7bUlKxGBrxKSIiQN+BmuMHZj1Ya18FKnOXJZHSkpi6\nI060k0DDmiGfq6HBIRrViE8REfH0FaiN6iNtwnBnRKRU5WriWxERkb4CtVeMMaf33miMOQ94LndZ\nEiktqSM/h0ojPkVEJFVfoz7PBe4xxpwIvIC35ud+eNNzzM1D3kRGHI34FBGRVBkDNWvte8Cn/dGf\nu+JNcnuntfbJfGVOpBQkps/Arawc8shPjfgUEZHeslnr8zHgsTzkRaQkxWfOYutFP6L2wvNITN2R\n6JzBVzhrxKeIiKQa8FqfIrKtxNQdh3wOjfgUEZHeFKiJFAkNJBARkd4UqIkMg+GYoqOhwekaSCAi\nIgIK1ESGRXKKjtCKJwZ9junTXUIh1aiJiEg3BWoiw2A4lpJasSJAqN/hPSIiMpIoUBMZJkNZSmrZ\nsgAXXljFRRe1a/40ERHpokBNpAgkBxJoag4REUmlQE1kmAxlQIEGEoiISDoK1ESGyVDW/NRAAhER\nSUeBmsgwSUyfgRsOD/p4R5VpIiLSiwI1keHkBBh96kkDHvm5YkVAqxKIiMg2FKiJDJP4zFlsuXEp\nJAY2IKC+3mHRIi3GLiIi21KgJjLMnFh0QP3UGhoc2tsdpk5V/zQREelJgZrIMBrMyE8NJBARkUzy\nOg+6MSYMLAV2AuLAfGvtml77zAPOBBLAb621N/nbzwG+DkSB71hrX8hj1kWykjryMz5zVvbH6SeT\niIikke8Fa74GbLbWzjPGfA74MXBcMtEYUwNcDOwNdAIvGGP+BEwBjgf2BD4OfBFQoCZFZ7AjP11V\npomISBr5DtQOAW7xHz8K3NwrfR/gBWttE4AxZiWwH7ALcKe1Ngb83b+JFCd/5OfmR5/MqlatocHp\nGvGp5aNERCRVvgO1yUAjgLU2YYxxjTERa21n73TferzatGlA3BjzEBAGzrbWvtTfxerqaocz75IH\nJV9mdXvDnXfAMccwfnwNZPF6mpogEoE99qihri4PecyBki+3EUhlVnpUZqVpqOWWs0DNGHMKcEqv\nzfv0et7fpFFOyn0QmINXw7YE2Ku/PDQ2NvefUSkadXW1ZVFm4aY2xkSjNL34MtGJH+pz32XLAixY\nUM3ixW1MnBinsbHP3YtSuZTbSKIyKz0qs9I0kHLLFNDlLFCz1i7BC6i6GGOW4tWaveQPLHBSatMA\n1vnpSTsAz/r39dZaF3jKGDMtV/kWyafkiE8txi4iIunke6zZcuAY//ERwF97pT8H7GWMGWuMGYVX\ne7YCWAZ8HsAYMxN4Jz/ZFRm45ICCbKfo0IhPERHJJN991O4ADjPGPAV0ACcBGGPOB56w1j7jP34Y\ncIFL/YEFzxpj5hhjnvHP890851tkYJxA1lN0aMSniIhkktdAzVobB+an2f6TlMd3AXel2ecS4JKc\nZlBkGI0++UQ2/+WpPoM1jfgUEZG+qNFFZJjFZ85i6yWLslpKSqsSiIhIXxSoieRAbPaBWfVTa2hw\nCOW7A4KIiJQMBWoiudJPJVl9vcPpp1dxww1tavYUEZG0FKiJ5ECgYU1WTZ+xGGr2FBGRjBSoieRA\nNmt+pg4kEBERSUeBmkiu+Gt+ButfS5usgQQiItIfBWoiORCfOYstNy6FRN8rDmiyWxER6Yu+JkRy\nqL9+aprsVkRE+qJATSRH+ltKasWKgPqoiYhInxSoieRShhqz+nqHyy6rZPHiNubM0YLsIiKSngI1\nkRzpb4qOeBxmz1aQJiIimSlQE8mRxPQZuJWVBNa+U+isiIhIiVKgJpIj8Zmz2HrRj6i98DzCyx4o\ndHZERKQEKVATyaHY7ANxg8G0Awo04lNERPqjQE0khwINa3Di8W36qWlVAhERyYYCNZEcyjRFh1Yl\nEBGRbChQE8m1DLGYViUQEZH+6KtCJIeSU3RE7rqjx/aGBkeBmoiI9EtfFSI5FJ0zl5YFZ1Nz1S+7\nRn7W1zucfnoVN9zQxsyZavoUEZHMFKiJ5FjnV47bpp9aPI76p4mISL8UqInkQ6+YTFNziIhINhSo\nieRY76WkNDWHiIhkS4GaSI4lps/oMemtpuYQEZFsKVATybHkpLehFU90b9M7T0REsqCvC5Eci86Z\nS/PiKxi18IcE618rdHZERKSEKFATyYPE1B1xop0EGtZoDjUREcmavi5E8iC5lNQqdtEcaiIikjUF\naiL54nhvN82hJiIi2VKgJpIviUShcyAiIiVGgZpIHnTNpbb2nUJnRURESogCNZE8SPZRS0zdUasS\niIhI1kL5vJgxJgwsBXYC4sB8a+2aXvvMA84EEsBvrbU3GWO2B24GKoAgcJa19sV85l1kyEJh/rX8\ndaLR3WhocDSYQERE+pXvGrWvAZuttfsDi4EfpyYaY2qAi4FDgYOAs4wx44GzgT9Zaw8GzvePFSkZ\n8Zmz2PrDhRx/61f46by/MWeO+quJiEj/8h2oHQL8yX/8KLBfr/R9gBestU3W2jZgpb/PBmCCv884\n/7lISYnNPpA/O19k4d27U1+vdT5FRKR/eW36BCYDjQDW2oQxxjXGRKy1nb3TfeuBKcCVwPPGmBOB\n0cD+2Vysrq522DIu+VHOZfbq0+M43r0V4jB+/Cjq6gqdo+FTzuVWrlRmpUdlVpqGWm45C9SMMacA\np/TavE+v5/1VKyTTzwXutNYuNsYcDvwcOLq/PDQ2NmeTVSkSdXW1ZV1mTU1tANy08HUmTtyBxsZ+\nDigR5V5u5UhlVnpUZqVpIOWWKaDLWaBmrV0CLEndZoxZildr9pI/sMBJqU0DWOenJ+0APAscBfzQ\n3/YIcF2Osi2SM4G17xBgBjvzJt6/toiISN/y3UdtOXCM//gI4K+90p8D9jLGjDXGjMLrn7YCeIPu\n2ri9gNfzkFeRYbXzqQfwl8VPsPOpBxQ6KyIiUiLy3UftDuAwY8xTQAdwEoAx5nzgCWvtM/7jhwEX\nuNRa22SMuRy4yRhzrH+eBXnOt8iwUJAmIiID4bjlO/umq/b80qI+GKVJ5VZ6VGalR2VWmgbYRy1t\nv32tTCAiIiJSpBSoiYiIiBQpBWoiIiIiRUqBmoiIiEiRUqAmIiIiUqQUqImIiIgUKQVqIiIiIkVK\ngZqIiIhIkVKgJiIiIlKkFKiJiIiIFCkFaiIiIiJFSoGaiIiISJFSoCYiIiJSpBSoiYiIiBQpx3Xd\nQudBRERERNJQjZqIiIhIkVKgJiIiIlKkFKiJiIiIFCkFaiIiIiJFSoGaiIiISJFSoCYiIiJSpBSo\niYiIiBSpUKEzMBTGmHnAeUAMuBg4Cajzk8cDz1prTzPGnAscA7jApdbaBwuQXSFtmTUDlwNRoAU4\nwVq7SWVWXNKU25vAb/HKZzXwbWttzN/vTCAB/NZae1OBsjyiGWNOBk5I2bQnsB9wPV6Z/dNa+21/\nX73XikCGMhuN9/l4srW2LmVflVmRyFBunwGuxfsc3AR8zVrbOthyK9kJb40xE4BngD2AUXgv+rSU\n9JuB3wCNwF3AvsAYYAWwq7U2nvdMj3DpygzYHZhnrbXGmAvw/rHvQGVWNDKU2yTgN9baZcaYi/AC\ntz8Dfwf2BjqBF4ADrLUbC5JxAcAYcyBwLLALcJ619gVjzG3A74F69F4rOill9i6wGfiRtXY7P206\nKrOilFJuHwPOtdY+b4z5GdAALGOQ5VbKNWqHAo9aa5vxamVSgzQDjPX/SN8ElllrO4FGY8y/8D6w\nXi5Epke4bcrMGPMQMMFPHwdY4GBUZsUkXbmtAp730x8GvgO8B7xgrW0CMMasxKvFuS//WZYUFwPz\ngSettS/42+7DK9cp6L1WjC4G5gEt1tpmY8yPUtL0+Vi8kuXWaq3d4m9rxPuOG3S5lXKgNg2oNsbc\ni/cFv9Ba+5if9p/A1f7jyXh/qKT1eB9O+qfOv2n0KjPgLOAJY8wmvCriH+A1sanMisc0ti23l4G5\nwC3A5/Fq2DK916RAjDF7Ae/gNVlvSklKls0H6L1WVJJlZq19L8Mu+k4rQunKzRhTA5yI19x5FIMs\nt1IeTODgRalH4/VN+29jjGOMiQD7W2v/2sdxUhjblBlwDXCUtdYAT+HVzKQ7TgonXbmdAxxrjPkL\n3udIujJSuRXeKcDSNNszlY3KrPAylVkmKrPi0KPc/CDtXuDn1trX0uyfdbmVcqD2PvC0tTZmrX0T\nr0mmDjiQ7iYZgHV4v0CSdvC3Sf6lK7ODrbUr/fRH8DpiqsyKS7py67DWHm6t/SzwLPAWKrdidBDw\nNN3NL0nJslGZcurCOgAAIABJREFUFZ+D8MosE5VZcToIv9yMMSG8Pru3WWuX+umDLrdSDtSWA581\nxgT8zs6jgA3AXsBLKfv9BZhrjIkYY7bH++OsyntuBdKX2SvGmF389L2A11GZFZt05fY9Y8xcP30+\nXp+n54C9jDFjjTGj8PqnrShIjgX/vbPVWttprY0C9caY/f3ko4GH0HutqKSWWR+7qcyKTJpy+y/g\n8V6j3gddbiXbR81a+64x5i68X/MA37PWJowxU/BGoCX3e9sYcyPwJN6Q2G9baxP5z7GkKzO84PpG\nY0wU2Ah801q7WWVWPDKUmwV+b4xZCKyw1j4AYIw5H29wQXL4eVMBsiyeKXj9YJLOBG4wxgSA56y1\njwLovVZUepSZMeZqYDdgjDHmceBea+0vVWZFp/d77bvAW8aYQ/3nf7HW/miw5Vay03OIiIiIlLtS\nbvoUERERKWsK1ERERESKlAI1ERERkSKlQE1ERESkSClQExERESlSJTs9h4hINowxV+AtFF8JfApv\ngXmAm4AgEOw139FQr7cU+CTwq5TJLlPTfwV8CW/Zu23SRURSKVATkbJmrT0PwBgzDXjKWntQHi57\nprX28Qz5OdMYszkPeRCRMqBATURGLH/C3pC19ofGmK3AZcARQAS4HDgVMHiTUy43xnwIuA6oxluh\n4YLkxLEZzn8c3rqoLXhr+8231q7J4UsSkTKjPmoiIp4a4G/W2v3wAqsjrLVfABYB3/H3uR74hb/G\n6ZHAEn9dv0wuAM7wa/HOw1s2RkQka6pRExHp9pR/v5buhbHXAmP8xwcDtcaYS/znUWAimRdXXgos\nNcbcDfyvtfa5Yc+xiJQ1BWoiIt1iGR47/n0HcLS1dkM2J7PWXmmMuQ34D7x1NpdYa28YnqyKyEig\npk8Rkew9BRwLYIzZzh/BmZYxJmiM+QnQZK39HbAQ+HRecikiZUM1aiIi2VsA/NYY81WgAm/wQVrW\n2rgxZgPwtDFmU8rxIiJZc1zXLXQeRETKhj+P2tJM03P4+ywE3tI8aiLSHzV9iogMv18ZY05Kl+A3\nl6ZNExHpTTVqIiIiIkVKNWoiIiIiRUqBmoiIiEiRUqAmIiIiUqQUqImIiIgUKQVqIiIiIkVKgZqI\niIhIkVKgJiIiIlKkFKiJiIiIFCkFaiIiIiJFSoGaiIiISJFSoCYiIiJSpBSoiYiIiBQpBWoiIiIi\nRUqBmoiIiEiRUqAmIiIiUqQUqImIiIgUKQVqIiIiIkVKgZqIiIhIkVKgJiIiIlKkFKiJiIiIFCkF\naiIiIiJFSoGaiIiISJFSoCYiIiJSpBSoiYiIiBQpBWoiIiIiRUqBmoiIiEiRUqAmIiIiUqRChc6A\niBQ3Y8yXgYuASmADcLq19pUhnnMOcDEwHggDLwPnW2tfG8S5TgK+bq091BhzC/A/1tr7sjjuUOAW\nYEdrbTxlewB4GzjJWvtohmOnAW9Ya0PGmArgOGvtLQPNu4hIf1SjJiIZGWM+BPwG+KK1dibwP8DN\nQzznXP8c51hrDbAz8ACwwhgzcSjnttaemE2Q5vsLEAMO6bX9YCDhp2fjU8CJWe4rIjIgqlETkb5E\nga9Za//lP38M+BF01TxdDRwKRICngG9aa6P9nHMhcIm1diWAtdYFfmuMeRfoMMa8Bxxurf2bf50z\ngEOttV8yxvwX8C28AOt+4PupJzbGPA4ssdb+wRjzH8Av8GrsVgMnWms3Jve11ib8GrivA8tTTvN1\n4BY/fTxeoPoJIA78zlr705TrTQL+BIw2xqyw1s42xhwJLPb/JluBk621/zDGHAT8GHgOOBLYCHwX\n+AkwC7jBWntJtvv5118AnI73o9sCp1hrG/0avz8BY4GHganAXdbapcYYF7gAOAnYBdgbuAaowQtQ\nF1hrH/XP8QxwJXAy4OAFpBcBnwQettZ+c9viFZHhpBo1EcnIWvtva+0jAMaYEN6X+5/95KOA2cDH\n8AKIPYDj+jqfMabG3++BNNd6wFrbBNwJfC0l6Sjgj8aY/YFT8IKmjwH7A1/p4zq34jVJfhR4A1iU\nZtelwJeMMdX+cVXA0f52gMuBTX7N3/7Ad/x8JPP8PvAD4Bk/SAsBvwNO9Y/5M/DzlOvtDtyDV4uY\nwAuQ5uIFuxcYYyqz3c8Y82ngXOAgv7bzbbwAD/+ay62104GH/ONSOdZa4zf5/hb4mX+On+AFpknb\nAe/5r+WfwB3AN4CPA18zxuyc5m8qIsNIgZqI9MsY85/A+3iB2X8BWGvvBva01katte3AC8CMfk41\nDq9m5v0+9rkdOM4YE/BrtPYE7gO+ADxgrW221nYCBwH/m+Ec+wHvpPSlOw84q/dO1to38AKQo/xN\nXwRe9reDFxxd5++70b/e5zJl3FobAyZaa5/1N62g599ks7X2cb8W8VXgCWttq/84CNQNYL+5eLVk\n6/1jlqTkbTbe3xFr7T3Aul5ZvT/l8SfxguN0+Q3hNXeD14/wBWvtBmvtB8C/ge0z/S1EZHgoUBOR\nfllrf41Xu/Ir4GljTJUxpg64xRiz2hhTjxfk9PeZshGvhmiHPq71DNAJHAgcjtfE1uJff3PKfq2p\ngwB66b1vpx/cpbMUr7kT/35pSlodsCnl+Sagv350C4wx/zTGWP9cqX+T5pTHcbym0WTzbwIvCMt2\nv77yNg7vb530bq88pqbNA5738/sIXiDddW1rbVvvfKQ8DyIiOaVATUQyMsbM8kdHYq11rbW3A6MB\ng9cPKwrs5jebbdOc2ZtfK/Q88OU01zorpSntj8AxeE2bd/jbNuAFYMn9JxhjJmS4VO99q40xUzPs\neyewnzHmo3g1UXempL0PpF5jAn3UBhpjPoNX43ik31x4SqZ9h0FfedsCjEpJm5LuBMaYHYAb8fq2\nGWBODvIpIkOgQE1E+pKsNdsewBizH17n/DV4tTcvW2s7jDGfwGtuHJXxTN0uAi70O/tjjHGMMd8G\nzqS7Fuw2vObIzwAP+tvuBY40xozz+4LdA3w+wzWeAiYbY/ZKuebF6Xa01m7xz30dcJ//POl+4DQ/\nn9vh9V/rHZBG8QYTOHh/k/XA236/t28ANX7acHsAODolWP1WSt6eB4718304mZso64AWoN7/myZf\nazblKCJ5oEBNRDKy1j6JV3P2qN+8eR1wvB/M/AI43RjzGt6oxO8DpxhjjjHGHGWMSTuNhz832fHA\nJcaYN4DX8GqyZvt9n7DWvgx8gNfs2eZvexb4GfAPYBXwd/x+WGmu0YpXa/cHY8xqvM7vF/TxUpfi\nTdOxtNf2HwLj/Nf+JPATa+3zvfZ5Ci8QWofXdLgOeBNvJOmvgCbgrj6uPSh+Pn6CN61JPd4Izwv9\n5PPwgrh6vNf1DOCmOc1LeIHwan+f+4BngSeGO78iMjiO66Z774qIFJYx5kHgGmvtg/3uLNswxjh+\nnzaMMS8Al1lr/9zPYSJSZFSjJiJFx29inYY3tYQMkDHmZ8C1/uOZeNOnvFjQTInIoOR9wltjzJXA\np/Gq4f/TWvtCStqhePMWxYEHrbWL/O1X4DWNhIAfW2szDckXkRLnN5nuB5xgrU0UOj8l6pfA7/2m\n5TjwXWvt2gLnSUQGIa9Nn8aYA4FzrbWHG2NmATdba/dNSV+F1zn4Xbw+Et8CJvnHfMHvNPt/1toP\n5S3TIiIiIgWS76bPQ/BGauEvvjzOGDMawBgzA9horX3H/xX9oL//k3jD9MEbEVZjjNHcPSIiIlL2\n8t30OZme/SQa/W1b/PvGlLT1wM7+hJYt/raT8ZpEM01y2SUWi7uhkOI5ERERKQlpp/Ep9KLsfc0t\n1CPNGPNFvEAt4/ItqTZtah1CtopbXV0tjY3N/e8oRUnlV9pUfqVLZVfayr386upq027Pd6C2Dq/m\nLGl7vPXi0qXt4G/DGPN5vPmB/sNftFlERESk7OW7j9pyvCVhMMbsDqyz1jYDWGvfwpvde5o/Q/bh\nwHJjzBi8SS4P9xdFFhERERkR8lqjZq192hjzojHmabyFhb9rjDkJaLLW/gn4Nt0zjd9hrV1tjDkN\nb82+O40xyVOdaK19O595FxEREcm3sl2ZoLGxuTxfGOXfTl/uVH6lTeVXulR2pa3cy6+urjZtv32t\nTCAiIiJSpBSoiYiIiBQpBWoiIiIiRUqBmoiIiEiRUqAmIiIiUqQUqImIiIgUKQVqIiIiIkVKgZqI\niIhIkVKgJiIiIlKkFKiJiIiIFCkFaiIiIiJFSoGaiIiISJFSoCYiIiJSpBSoiYiIiBQpBWoiIiIi\nRUqBmoiIiEiRChU6AyJSmj74wGHZshDLloWorw/Q0gJjxsBHPpLg4INjHHVUlPHjC51LEZHSpho1\nERmQWAyuuy7MHnvUcPbZlTzySIhYDLbbzmXLFli+PMQPflDJbruN4rTTKnn7bafQWRYRKVmqUROR\nrL3xhsO3vlXFyy8HGT8+wTnndHD44TGmTXO79lm3zuGee0LccUeYe+4J8/DDIS65pIP586M4itlE\nRAZENWoikpX77gtx2GE1vPxykOOOi7JyZStnnBHtEaQBbL+9y3e+E+Xxx1u59to2qqpczj+/km98\no5INGxSpiYgMhAI1EelTPA6XXx7h5JOrcF244YY2rr66nQkT3D6Pcxw45pgYf/lLK/vtF+Ohh8J8\n9rPVrFwZzFPORURKnwI1Eclo0yY44YQqfvWrCnbaKcGyZa0cdVRsQOfYfnuXu+9u46KLOmhsdPjy\nl6v46U8jRKM5yrSISBlRoCYiab30UoDDDqvh0UdDHHxwjOXLW5g1KzGocwUC8L3vdXLvva1sv73L\nL35RwZw51axapY8gESk/bZvbueO0p2h9d9OQz6VPSRHpwXXhD38Ic/jh1bzzjsM553Rw221tjBs3\n9HPvtVeCv/61heOPj/LPfwY57LBqfvGLCB0dQz+3iEixuOK0dXzvnjmsvL5+yOdSoCYiXdra4Mwz\nKzn77Eqqq+G229o477xOgsPYrWzMGLjqqnZuvbWV8eNdfvrTCg44oIZHH1XfNREpfS+9FOD6J3Zj\nBm9y8OEVQz6fAjURAeCJJ4J89rM13H57mE98Is4jj7RwyCHxnF3vsMPirFzZwre+1cnbbzt87WvV\nfP3rVbzxhkaGikhp6uiAs86qJOEGuKHiPwl9atchn1OBmsgIt26dwymnVHLMMdU0NDicdlon993X\nyoc+1PeozuEwejQsWtTRNTJ0+fIQ++1XwwknVPHUU0ESg+sSJyKSd64L555bySuvBDmZJcz+XBgq\nhl6jpglvZdjE47BqVYCnnw7yj38E2bzZYcsWhy1bYMsWh5YWh6oql7FjXcaMcZk0yWWnnRJMm+ay\n884JZs2Ka8mhPNq0CW6+OcLVV0dobXXYY484V1zRzm675T86mjUrwf/+bxsPPhjimmsiPPxwiIcf\nDjFlSoI99ogzc2YCYxJd/zOTJrkE9DNTRIrIr34V4Y9/DPOp7d7m6g3fo+PI3wzLeR3Xzf2v5kJo\nbGwuzxcG1NXV0tjYXOhsALB1K9x9d5hHHgnx7LNBtmzp2WwVDLqMHg21tS6jRrm0tjo0NTk0NUEi\nsW0T15QpCXbZJcHMmQl23TXOrrsm2HnnBJFIvl5R7hWy/GIxWLkyyL33hrj77jCtrQ7jxye46KJO\nvvrVaNEEP88/H+DWWyM8/HCQjRu3zVRlpcuHP5xgzz3jHH10jH32iedt1YNiev/JwKjsSluxll8s\nBj/6UQW/+U2EKZPjPLt1N3ao3sjGv7/KQL686upq036KqUZNBmXNGoebb45w++1hmpu9/62ddkow\nd26MffeNsffecSZNcqmuJu0XaCIB69c7vPVWgLfecnjjjQCrVgVZtSrAY4+FeOyx7n2DQZeddnL5\nyEcSTJ+eYMoUr0Zl8mSXSZO8x6NG5emFlxjXhQ0bHF5+OcD994d48MFQV+AzZUqC887r4MQTo0X3\n99t77wR7792O68K//+1QXx/gjTcCvP++w7/+FeCttwKsXh3glVeCLF0aYaedEhx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DmdPN/2QB2Au6eBjJlVttSetRbYIbvPNcAPO3ne0MycWUE0muHkk5snEdwOQMOZZ4eYSkRERMpB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\nlKj/A53d6C1zte96AAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f3c874b8650>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"metadata": {
"id": "7nb38kNTr-sz",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"### 4. EIS and CV study"
]
},
{
"metadata": {
"id": "Q3cnM93_sBlh",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 1168
},
"outputId": "ee101fb2-ca44-4630-d52c-59d357516ce7"
},
"cell_type": "code",
"source": [
"i = 1./9\n",
"i = i*(10**-6)\n",
"Z = impedance_Randles(omega=omega, Rs=1e4, Rct=9e4, Cdl=i)\n",
"\n",
"fig4e = plt.figure(num=1, figsize=(10,20))\n",
"plt.subplot(411)\n",
"plt.plot(f, abs(Z))\n",
"plt.grid(True, which='both')\n",
"plt.ylim(ymin=0,ymax=11e4)\n",
"plt.xlim(xmin=f[0],xmax=f[-1])\n",
"plt.xscale('log')\n",
"plt.ylabel('Z Impedance')\n",
"plt.xlabel('Frequency [Hz]')\n",
"plt.title('4e. Randles Cell Bode Impedance Plot')\n",
"\n",
"plt.subplot(412)\n",
"plt.plot(omega, abs(Z))\n",
"plt.grid(True, which='both')\n",
"plt.ylim(ymin=0,ymax=11e4)\n",
"plt.xlim(xmin=omega[0],xmax=omega[-1])\n",
"plt.xscale('log')\n",
"plt.ylabel('Z Impedance')\n",
"plt.xlabel('Angular Frequency [rad/s]')\n",
"\n",
"plt.subplot(413)\n",
"plt.plot(f, np.angle(Z)*180/np.pi)\n",
"plt.grid(True, which='both')\n",
"plt.ylim(ymax=0, ymin=-60)\n",
"plt.xlim(xmin=f[0],xmax=f[-1])\n",
"plt.xscale('log')\n",
"plt.ylabel('[Phase degrees]')\n",
"plt.xlabel('Frequency [Hz]')\n",
"plt.title('4e. Randles Cell Bode Phase Plot')\n",
"\n",
"plt.subplot(414)\n",
"plt.plot(omega, np.angle(Z)*180/np.pi)\n",
"plt.grid(True, which='both')\n",
"plt.ylim(ymax=0, ymin=-60)\n",
"plt.xlim(xmin=omega[0],xmax=omega[-1])\n",
"plt.xscale('log')\n",
"plt.ylabel('Phase [degrees]')\n",
"plt.xlabel('Angular Frequency [rad/s]')\n",
"\n",
"fig4e.subplots_adjust(hspace=0.33)\n",
"fig4e.savefig('4e.pdf')\n",
"files.download('4e.pdf') "
],
"execution_count": 17,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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zTKqflUTlneGz0qcoj2H9SnjlrfdZumILvXsUtlpf36H21Ve/pFZH+5auv2+J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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f3c875d9d10>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"metadata": {
"id": "tuKvR2KmwQEX",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"### 5. Electrode model for retinal prosthesis"
]
},
{
"metadata": {
"id": "g2iql1J2whY6",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"#### a. $R_{\\mathrm{s}}=28\\,\\mathrm{k\\Omega}$, $R_{\\mathrm{ct}}=16.233\\,\\mathrm{M\\Omega}$, and $C_{\\mathrm{dl}} = 17.12\\,\\mu\\mathrm{F}$. "
]
},
{
"metadata": {
"id": "0JmMmshlwWua",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 1168
},
"outputId": "1fd0fbe3-1bdb-4253-e5d3-4be2f827b0a3"
},
"cell_type": "code",
"source": [
"f = np.logspace(start=-6, stop=6, num=(6-(-6))*10**3) # frequency to plot in Hz\n",
"omega = 2*np.pi*f # angular frequencies\n",
"\n",
"Z = impedance_Randles(omega=omega, Rs=28e3, Rct=16.233e6, Cdl=171.216e-9)\n",
"\n",
"fig5a = plt.figure(num=1, figsize=(10,20))\n",
"plt.subplot(411)\n",
"plt.plot(f, abs(Z))\n",
"plt.grid(True, which='both')\n",
"plt.ylim(ymin=0,ymax=17e6)\n",
"plt.xlim(xmin=f[0],xmax=f[-1])\n",
"plt.xscale('log')\n",
"plt.ylabel('Z Impedance')\n",
"plt.xlabel('Frequency [Hz]')\n",
"plt.title('5a. Randles Cell Bode Impedance Plot')\n",
"\n",
"plt.subplot(412)\n",
"plt.plot(omega, abs(Z))\n",
"plt.grid(True, which='both')\n",
"plt.ylim(ymin=0,ymax=17e6)\n",
"plt.xlim(xmin=omega[0],xmax=omega[-1])\n",
"plt.xscale('log')\n",
"plt.ylabel('Z Impedance')\n",
"plt.xlabel('Angular Frequency [rad/s]')\n",
"\n",
"plt.subplot(413)\n",
"plt.plot(f, np.angle(Z)*180/np.pi)\n",
"plt.grid(True, which='both')\n",
"plt.ylim(ymax=0, ymin=-88)\n",
"plt.xlim(xmin=f[0],xmax=f[-1])\n",
"plt.xscale('log')\n",
"plt.ylabel('[Phase degrees]')\n",
"plt.xlabel('Frequency [Hz]')\n",
"plt.title('5a. Randles Cell Bode Phase Plot')\n",
"\n",
"plt.subplot(414)\n",
"plt.plot(omega, np.angle(Z)*180/np.pi)\n",
"plt.grid(True, which='both')\n",
"plt.ylim(ymax=0, ymin=-88)\n",
"plt.xlim(xmin=omega[0],xmax=omega[-1])\n",
"plt.xscale('log')\n",
"plt.ylabel('Phase [degrees]')\n",
"plt.xlabel('Angular Frequency [rad/s]')\n",
"\n",
"fig5a.subplots_adjust(hspace=0.33)\n",
"fig5a.savefig('5a.pdf')\n",
"files.download('5a.pdf') "
],
"execution_count": 18,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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UcYlkk4L8PC4+Zxznzx3Db/+4i189uYNb73qeSxeM47orZ1NcmB93iCIiMsAinaM2gJLq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\n20QAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f3c87458850>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"metadata": {
"id": "NA3UaUFVxE4m",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"#### b. $R_{\\mathrm{s}}=28\\,\\mathrm{k\\Omega}$, $R_{\\mathrm{ct}}=16.233\\times\\frac{1}{0.9}\\,\\mathrm{M\\Omega}$, and $C_{\\mathrm{dl}} = 17.12\\times0.9\\,\\mu\\mathrm{F}$. "
]
},
{
"metadata": {
"id": "Mg_KhKu-xZKO",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 1168
},
"outputId": "6cf1ab6e-4f03-4d91-c222-0cfbe1d7bd50"
},
"cell_type": "code",
"source": [
"f = np.logspace(start=-6, stop=6, num=(6-(-6))*10**3) # frequency to plot in Hz\n",
"omega = 2*np.pi*f # angular frequencies\n",
"\n",
"Z = impedance_Randles(omega=omega, Rs=28e3, Rct=((16.233e6) / 0.9), Cdl=((171.216e-9)*0.9))\n",
"\n",
"fig5b = plt.figure(num=1, figsize=(10,20))\n",
"plt.subplot(411)\n",
"plt.plot(f, abs(Z))\n",
"plt.grid(True, which='both')\n",
"plt.ylim(ymin=0,ymax=2e7)\n",
"plt.xlim(xmin=f[0],xmax=f[-1])\n",
"plt.xscale('log')\n",
"plt.ylabel('Z Impedance')\n",
"plt.xlabel('Frequency [Hz]')\n",
"plt.title('5b. Randles Cell Bode Impedance Plot')\n",
"\n",
"plt.subplot(412)\n",
"plt.plot(omega, abs(Z))\n",
"plt.grid(True, which='both')\n",
"plt.ylim(ymin=0,ymax=2e7)\n",
"plt.xlim(xmin=omega[0],xmax=omega[-1])\n",
"plt.xscale('log')\n",
"plt.ylabel('Z Impedance')\n",
"plt.xlabel('Angular Frequency [rad/s]')\n",
"\n",
"plt.subplot(413)\n",
"plt.plot(f, np.angle(Z)*180/np.pi)\n",
"plt.grid(True, which='both')\n",
"plt.ylim(ymax=0, ymin=-88)\n",
"plt.xlim(xmin=f[0],xmax=f[-1])\n",
"plt.xscale('log')\n",
"plt.ylabel('[Phase degrees]')\n",
"plt.xlabel('Frequency [Hz]')\n",
"plt.title('5b. Randles Cell Bode Phase Plot')\n",
"\n",
"plt.subplot(414)\n",
"plt.plot(omega, np.angle(Z)*180/np.pi)\n",
"plt.grid(True, which='both')\n",
"plt.ylim(ymax=0, ymin=-88)\n",
"plt.xlim(xmin=omega[0],xmax=omega[-1])\n",
"plt.xscale('log')\n",
"plt.ylabel('Phase [degrees]')\n",
"plt.xlabel('Angular Frequency [rad/s]')\n",
"\n",
"fig5b.subplots_adjust(hspace=0.33)\n",
"fig5b.savefig('5b.pdf')\n",
"files.download('5b.pdf') "
],
"execution_count": 19,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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Qz6/azfOrdgMwvGoANROGcM6MaiaNqkx7eFdERPJHxoo2MysHbgUebb3M3bcBc8L1CoHH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\n8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F4xxvw5kA2sB4qBxhH7NACV4zmYz5c16QHlzanNI09t/npf3LKOz333BbbtO0t+bjof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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f3c888e5090>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"metadata": {
"id": "XIEupEaSDdpD",
"colab_type": "code",
"colab": {}
},
"cell_type": "code",
"source": [
""
],
"execution_count": 0,
"outputs": []
}
]
}
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