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@opotowsky
Created September 23, 2015 22:39
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Getting theoretical spectra from PyNE
{
"metadata": {
"name": "",
"signature": "sha256:9decc598ea7e541629c216e0a6761757ba9e0078ad404d93d6aa00aa83c927df"
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"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "code",
"collapsed": false,
"input": [
"import cymetric as cym\n",
"import pandas as pd\n",
"from pyne import data\n",
"from pyne import nucname\n",
"from pyne.material import Material\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"%matplotlib inline"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stderr",
"text": [
"/home/opotowsky/.local/lib/python2.7/site-packages/cymetric/metrics.py:10: QAWarning: pyne.data is not yet QA compliant.\n",
" from pyne import data\n",
"/home/opotowsky/.local/lib/python2.7/site-packages/cymetric/metrics.py:11: QAWarning: pyne.material is not yet QA compliant.\n",
" import pyne.enrichment as enr\n",
"/home/opotowsky/.local/lib/python2.7/site-packages/cymetric/metrics.py:11: QAWarning: pyne.enrichment is not yet QA compliant.\n",
" import pyne.enrichment as enr\n"
]
}
],
"prompt_number": 1
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"pu = Material({'Pu239': 96.09, \n",
" 'Pu240': 3.63, \n",
" 'Am241': 3.015E-3, \n",
" 'Bi214': 45.15E-15, }, 1.0)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 2
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# find decays/s/atom using the material methods\n",
"def decays(material):\n",
" gammas = material.gammas()\n",
" return gammas"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 3
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# find relative intensities (decay percentage)\n",
"def percent_intensity(material):\n",
" p_intensity = []\n",
" for nuc, frac in material.comp.iteritems():\n",
" gammy = data.gamma_energy(nuc)\n",
" intensity = data.gamma_photon_intensity(nuc)\n",
" chirren = data.decay_children(nuc)\n",
" for n in chirren:\n",
" branch, br_err = data.decay_photon_branch_ratio(nuc, n)\n",
" for g, i in zip(gammy, intensity):\n",
" if np.isnan(i[0]) == False:\n",
" row = g[0], g[1], frac*branch*i[0], i[1]\n",
" p_intensity.append(row)\n",
" return p_intensity"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 4
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# gammas method\n",
"gam = decays(pu)\n",
"# separate into list of tuples\n",
"energy = []\n",
"intensity = []\n",
"for row in gam:\n",
" if np.isnan(row[1]) == False:\n",
" energy.append(row[0])\n",
" intensity.append(row[1])\n",
"# two sep dataframes since lists are diff lengths\n",
"df1 = pd.DataFrame({'Energy' : energy, 'Intensity' : intensity})\n",
"df1 = df1.groupby('Energy').sum()"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 5
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# percent intensity\n",
"per = percent_intensity(pu)\n",
"energy = []\n",
"intensity = []\n",
"for row in per:\n",
" energy.append(row[0])\n",
" intensity.append(row[2])\n",
"df2 = pd.DataFrame({'Energy' : energy, 'Intensity' : intensity})\n",
"df2 = df2.groupby('Energy').sum()"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 6
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"df1.plot(logy=True)\n",
"plt.xlabel(r'Energy [keV]', fontsize=18); plt.ylabel(r'Gammas [dec/s/atom]', fontsize=18)\n",
"plt.xlim([400, 850])\n",
"df2.plot(logy=True)\n",
"plt.xlabel(r'Energy [keV]', fontsize=18); plt.ylabel(r'Percent Intensity (Gammas)', fontsize=18)\n",
"plt.xlim([400, 850])\n",
"plt.show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
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rqzIkYHREQVJ1MKZFY7FYLJbCiOpv2wVJRd4JqEPmnVmLKJ8yYA2SeTYiqIEEkDNG88tf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\nbmzMbs1AdtfZ0KFyLuMam2Wiz0m+iqYYMnnRiias4j/pJHj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bedQE+dQlTdGQpujkVVdc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\nQ6jHgZ0AAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x7f6314fa0ad0>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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YLH9WPT0y34oZMWgyGh3Y2IrG9R7s0XNSH01DgzcmC7gZTVTU2bp1wiiSKJpD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B6Px+PxeDwej8eVeYSDD74SWVZBKlI0k9MI5euhutOkZyvB93nx9CXKVL+0or/3miZZ81DImDRn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\n",
"text": [
"<matplotlib.figure.Figure at 0x7f6314fa0a90>"
]
}
],
"prompt_number": 7
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": []
}
],
"metadata": {}
}
]
}
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