Lugovtsov/3.3.4-semiconductor-hall-effect/processing.ipynb
2023-10-07 19:37:34 +03:00

403 lines
196 KiB
Plaintext
Raw Permalink Blame History

This file contains ambiguous Unicode characters

This file contains Unicode characters that might be confused with other characters. If you think that this is intentional, you can safely ignore this warning. Use the Escape button to reveal them.

{
"cells": [
{
"cell_type": "code",
"execution_count": 23,
"id": "f1de9529-db33-4104-8a94-407330ffcb99",
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"# %load ../processing_tools.py\n",
"import numpy as np\n",
"from scipy.optimize import curve_fit\n",
"import pandas as pd\n",
"\n",
"import matplotlib.pyplot as plt\n",
"import matplotlib\n",
"import scienceplots\n",
"\n",
"plt.style.use(['science', 'russian-font'])\n",
"\n",
"matplotlib.rcParams.update({\n",
" 'figure.figsize': [6, 4],\n",
" 'savefig.facecolor': 'white',\n",
" 'figure.dpi': 150.0,\n",
" 'font.size': 12.0,\n",
"})\n"
]
},
{
"cell_type": "code",
"execution_count": 24,
"id": "657cc2c7-920b-46e0-a7a8-ef65146ddf4e",
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"I_names = np.array([13, 24, 35, 46, 57, 68, 79, 90, 101])\n",
"I_values = I_names * 1.5 / 155# ток в мА"
]
},
{
"cell_type": "code",
"execution_count": 25,
"id": "61022dfd-06b7-43cb-ac1f-2128f46ff7ee",
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"colors = ['tab:blue', 'tab:orange', 'tab:green', 'tab:red', 'tab:purple', 'tab:brown', 'tab:pink', 'tab:gray', 'tab:olive', 'tab:cyan']"
]
},
{
"cell_type": "markdown",
"id": "cab0ae39-aeb0-425a-a38a-8491552135fe",
"metadata": {
"tags": []
},
"source": [
"### График зависимости индукции от силы тока в обмотках магнита $B = f(I_\\text{М})$"
]
},
{
"cell_type": "code",
"execution_count": 26,
"id": "4c853de8-c61e-4ce0-b796-ffaa6e697b12",
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"df = pd.read_csv(rf'data/induction_on_amperage.csv')\n",
"\n",
"B = np.array(df['Ind[mT]'])\n",
"I_m = np.array(df['I[mA]'])"
]
},
{
"cell_type": "code",
"execution_count": 27,
"id": "576974ec-5d4d-42c1-9280-7a7f9b74a6be",
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 900x600 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.errorbar(I_m, B, xerr=5+0.003*I_m, yerr=0.5+0.003*B, lw=1, ls='', marker='.', markersize=8, label=r\"$B = f(I_\\text{М})$\", ds='default')\n",
" \n",
"plt.xlabel(r\"$I_\\text{М}$, мА\")\n",
"plt.ylabel(r\"$B$, мТл\")\n",
"\n",
"plt.legend()\n",
"plt.savefig(rf\"images/BonI.png\")\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "c9e18b07-8656-49b4-bf8e-1c2371bee3e5",
"metadata": {
"tags": []
},
"source": [
"### Семейство характеристик $\\varepsilon_\\text{х} = f(B)$"
]
},
{
"cell_type": "code",
"execution_count": 28,
"id": "fadcfd44-216a-4449-9e75-398c8d3c740c",
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"def B_approx(x):\n",
" for i, xi in enumerate(I_m):\n",
" if xi >= x:\n",
" x1 = I_m[i - 1]\n",
" x2 = I_m[i]\n",
" y1 = B[i - 1]\n",
" y2 = B[i]\n",
" return y1 + (y2-y1)/(x2-x1)*(x-x1)"
]
},
{
"cell_type": "code",
"execution_count": 29,
"id": "e6741806-03fb-487f-8366-bbb6c825c49b",
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"def line(x, arg1, arg2):\n",
" return x * arg1 + arg2"
]
},
{
"cell_type": "code",
"execution_count": 30,
"id": "08c7f31f-1c40-4904-b619-91c227f7a6b3",
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 900x600 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"dE_dB = []\n",
"\n",
"for i, I_name in enumerate(I_names):\n",
" df = pd.read_csv(rf\"data/VoA_{I_name}.csv\")\n",
" \n",
" U_ = df[\"U_34[mV]\"]\n",
" U0 = U_[0]\n",
" U = 1000*(U0 - U_)\n",
" \n",
" I_ = df[\"I_m[mA]\"]\n",
" B_ = np.array([B_approx(x) for x in I_], dtype=np.float64)\n",
" \n",
" popt, pcov = curve_fit(line, B_, U)\n",
" \n",
" # print(f\"k = {popt[0]:.4f} \\t \")\n",
" dE_dB.append(popt[0]/1000)\n",
" \n",
" plt.errorbar(B_, U, xerr=1+0.003*B_, yerr=1+0.003*U, ls='', marker='.', markersize=4, label=r\"$I_{||} = \"+rf\"{I_values[i]:.2f}\\pm{1.5/155:.2f}$ мА\", ds='default', color=colors[i])\n",
" plt.plot(B_, line(B_, popt[0], popt[1]), color=colors[i], lw=1)\n",
"\n",
"dE_dB = np.array(dE_dB) * 1000\n",
" \n",
"plt.xlabel(r\"$B$, мТл\")\n",
"plt.ylabel(r\"$\\varepsilon_x$, мкВ\")\n",
"\n",
"plt.legend(frameon=True)\n",
"plt.savefig(rf\"images/UonB.png\")\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "ed4c8024-e86f-4672-bd64-1d5d8e596592",
"metadata": {},
"source": [
"### Зависимость $k = f(I)$"
]
},
{
"cell_type": "code",
"execution_count": 31,
"id": "0d76d070-47ce-4f4f-9342-566a1107abab",
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 900x600 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"popt, pcov = curve_fit(line, I_values, dE_dB)\n",
"\n",
"k = popt[0]\n",
"\n",
"plt.errorbar(I_values, dE_dB, xerr=0.01, yerr=3.15e-03, color=colors[0], lw=1, ls='', marker='.', markersize=4, label=r\"$\\dfrac{d\\varepsilon_x}{dB} = f(I_{||})$\", ds='default')\n",
"plt.plot(I_values, line(I_values, popt[0], popt[1]), color=colors[0], lw=1)\n",
"\n",
"plt.xlabel(r\"$I_\\text{М}$, мА\")\n",
"plt.ylabel(r\"$d\\varepsilon_x/dB$, мВ/Тл\")\n",
"\n",
"plt.legend()\n",
"plt.savefig(rf\"images/KonI.png\")\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 32,
"id": "2d140d8b-b9fb-48b7-88fd-ccd862fc794f",
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"h = 2.2e-3"
]
},
{
"cell_type": "code",
"execution_count": 33,
"id": "deb90002-f303-4b6b-ad90-e3c83d3ab41b",
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"text/plain": [
"0.0004318927697950297"
]
},
"execution_count": 33,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"R_h = k*h\n",
"R_h"
]
},
{
"cell_type": "code",
"execution_count": 34,
"id": "8731ed11-0b5c-4304-9ab3-eb563dbe33e3",
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"q = 1.6e-19"
]
},
{
"cell_type": "code",
"execution_count": 35,
"id": "048587bd-6a59-449c-a65c-86f810f3ce4c",
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"text/plain": [
"1.44711846020626e+22"
]
},
"execution_count": 35,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"n = 1 / (R_h * q)\n",
"n"
]
},
{
"cell_type": "code",
"execution_count": 36,
"id": "8f61c6e8-356b-4a4c-b797-dd5e8d0331eb",
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"a = 2.2e-3\n",
"L35 = 3e-3\n",
"l = 2.5e-3"
]
},
{
"cell_type": "code",
"execution_count": 37,
"id": "1f153f00-d44c-41e5-8bab-ad09bd8e5896",
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"text/plain": [
"274.0977615349475"
]
},
"execution_count": 37,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"sigma = 1 * L35/(1.99 * a * l)\n",
"sigma"
]
},
{
"cell_type": "code",
"execution_count": 38,
"id": "cf5b7366-16f9-434f-969f-74b61fed23ca",
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"text/plain": [
"1183.8084142394603"
]
},
"execution_count": 38,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"b = sigma * R_h\n",
"b*10000"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.10.12"
}
},
"nbformat": 4,
"nbformat_minor": 5
}