fpraktikum/tem/auswertung/hrtem.ipynb
2020-01-26 16:34:53 +01:00

376 lines
116 KiB
Text

{
"cells": [
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"autoscroll": false,
"collapsed": false,
"ein.hycell": false,
"ein.tags": "worksheet-0",
"slideshow": {
"slide_type": "-"
}
},
"outputs": [],
"source": [
"from utility import *\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n"
]
},
{
"cell_type": "code",
"execution_count": 131,
"metadata": {
"autoscroll": false,
"collapsed": false,
"ein.hycell": false,
"ein.tags": "worksheet-0",
"slideshow": {
"slide_type": "-"
}
},
"outputs": [],
"source": [
"profile_1 = load_profiles('../messungen/gold_hires/auswertung/1/insel/peaks.txt')\n",
"profile_2 = load_profiles('../messungen/gold_hires/auswertung/4/insel/peaks.txt')\n",
"profile_3 = load_profiles('../messungen/gold_hires/auswertung/6/zwei _richtungen/horiz.txt')\n",
"profile_4 = load_profiles('../messungen/gold_hires/auswertung/10/1/peaks.txt')"
]
},
{
"cell_type": "code",
"execution_count": 136,
"metadata": {
"autoscroll": false,
"collapsed": false,
"ein.hycell": false,
"ein.tags": "worksheet-0",
"slideshow": {
"slide_type": "-"
}
},
"outputs": [
{
"data": {
"image/png": [
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\n"
],
"text/plain": [
"<Figure size 360x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": [
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\n"
],
"text/plain": [
"<Figure size 360x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": [
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\n"
],
"text/plain": [
"<Figure size 360x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": [
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\n"
],
"text/plain": [
"<Figure size 360x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"analyzed = np.array([\n",
" analyze_profile(profile_1, limits=[0, 50], save=('profile_1', 'gold_hires')),\n",
" analyze_profile(profile_2, limits=[0, -1], save=('profile_4', 'gold_hires')),\n",
" analyze_profile(profile_3, limits=[0, -1], save=('profile_6', 'gold_hires')),\n",
" analyze_profile(profile_4, limits=[0, 80], save=('profile_10', 'gold_hires'))])"
]
},
{
"cell_type": "code",
"execution_count": 143,
"metadata": {
"autoscroll": false,
"collapsed": false,
"ein.hycell": false,
"ein.tags": "worksheet-0",
"slideshow": {
"slide_type": "-"
}
},
"outputs": [
{
"data": {
"text/plain": [
"array([[0.20425 , 0.00654074, 0.0066303 ],\n [0.2447 , 0.00523259, 0.0056693 ],\n [0.23364286, 0.00373756, 0.00473438],\n [0.24145455, 0.0047569 , 0.00552135]])"
]
},
"execution_count": 143,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"analyzed"
]
},
{
"cell_type": "code",
"execution_count": 144,
"metadata": {
"autoscroll": false,
"collapsed": false,
"ein.hycell": false,
"ein.tags": "worksheet-0",
"slideshow": {
"slide_type": "-"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"1 & 0.204 & 0.007 & 0.007 \\\\\n",
"2 & 0.245 & 0.005 & 0.006 \\\\\n",
"3 & 0.2336 & 0.0037 & 0.0047 \\\\\n",
"4 & 0.241 & 0.005 & 0.006 \\\\\n",
"\n"
]
}
],
"source": [
"print(generate_analysis_table(analyzed))"
]
},
{
"cell_type": "code",
"execution_count": 145,
"metadata": {
"autoscroll": false,
"collapsed": false,
"ein.hycell": false,
"ein.tags": "worksheet-0",
"slideshow": {
"slide_type": "-"
}
},
"outputs": [],
"source": [
"hypothesis = evaluate_hypothesis(analyzed)"
]
},
{
"cell_type": "code",
"execution_count": 147,
"metadata": {
"autoscroll": false,
"collapsed": false,
"ein.hycell": false,
"ein.tags": "worksheet-0",
"slideshow": {
"slide_type": "-"
}
},
"outputs": [
{
"data": {
"text/plain": [
"(array([4, 3, 3, 3]), array([[0.4085 , 0.01308148, 0.01326061],\n [0.42383283, 0.00906311, 0.00981952],\n [0.4046813 , 0.00647365, 0.00820019],\n [0.41821154, 0.00823919, 0.00956327]]), array([0.0007 , 0.01603283, 0.0031187 , 0.01041154]))"
]
},
"execution_count": 147,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"hypothesis"
]
},
{
"cell_type": "code",
"execution_count": 146,
"metadata": {
"autoscroll": false,
"collapsed": false,
"ein.hycell": false,
"ein.tags": "worksheet-0",
"slideshow": {
"slide_type": "-"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"1 & \\(\\sqrt{4}\\) & 0.409 & 0.013 & 0.013 & 0.001 \\\\\n",
"2 & \\(\\sqrt{3}\\) & 0.424 & 0.009 & 0.01 & 0.016 \\\\\n",
"3 & \\(\\sqrt{3}\\) & 0.405 & 0.006 & 0.008 & 0.003 \\\\\n",
"4 & \\(\\sqrt{3}\\) & 0.418 & 0.008 & 0.01 & 0.010 \\\\\n",
"\n"
]
}
],
"source": [
"print(generate_hypethsesis_table(*hypothesis))"
]
},
{
"cell_type": "code",
"execution_count": 120,
"metadata": {
"autoscroll": false,
"collapsed": false,
"ein.hycell": false,
"ein.tags": "worksheet-0",
"slideshow": {
"slide_type": "-"
}
},
"outputs": [
{
"data": {
"text/plain": [
"(0.4131417242218807, 0.009111543899908446, 0.007970106548602144)"
]
},
"execution_count": 120,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"a = determine_lattice_constant(hypothesis)\n",
"a"
]
},
{
"cell_type": "code",
"execution_count": 121,
"metadata": {
"autoscroll": false,
"collapsed": false,
"ein.hycell": false,
"ein.tags": "worksheet-0",
"slideshow": {
"slide_type": "-"
}
},
"outputs": [
{
"data": {
"text/plain": [
"(0.413, 0.009, 0.008)"
]
},
"execution_count": 121,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"scientific_round(*a)"
]
},
{
"cell_type": "code",
"execution_count": 152,
"metadata": {
"autoscroll": false,
"collapsed": false,
"ein.hycell": false,
"ein.tags": "worksheet-0",
"slideshow": {
"slide_type": "-"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\\(\\sqrt{3}\\) & \\(\\mqty(1 & 1 & 1)\\) \\\\\n",
"\\(\\sqrt{4}\\) & \\(\\mqty(2 & 0 & 0)\\) \\\\\n",
"\n"
]
}
],
"source": [
"print(generate_miller_table(hypothesis[0]))"
]
},
{
"cell_type": "code",
"execution_count": 123,
"metadata": {
"autoscroll": false,
"collapsed": false,
"ein.hycell": false,
"ein.tags": "worksheet-0",
"slideshow": {
"slide_type": "-"
}
},
"outputs": [
{
"data": {
"text/plain": [
"(array([4, 3, 3, 3]), array([[0.4085 , 0.01308148, 0.01326061],\n [0.42383283, 0.00906311, 0.00981952],\n [0.4046813 , 0.00647365, 0.00820019],\n [0.41821154, 0.00823919, 0.00956327]]), array([0.0007 , 0.01603283, 0.0031187 , 0.01041154]))"
]
},
"execution_count": 123,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"hypothesis"
]
}
],
"metadata": {
"kernelspec": {
"argv": [
"/usr/bin/python3",
"-m",
"ipykernel_launcher",
"-f",
"{connection_file}"
],
"display_name": "Python 3",
"env": null,
"interrupt_mode": "signal",
"language": "python",
"metadata": null,
"name": "python3"
},
"name": "hrtem.ipynb"
},
"nbformat": 4,
"nbformat_minor": 2
}