File:Rrr.svg

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Upload date 2011-07-18T20:14:32Z
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Summary

Description
English: Temperatur dependance of electrical resistance in metals. Calculated using the Bloch-Grüneisen-Law. Here, the residual resistance ratio is RRR=7.
Deutsch: Temperaturabhängigkeit des elektrischen Widerstandes in Metallen. Berechnet über das Bloch-Grüneisen-Gesetz. Das Restwiderstandsverhältnis ist hier RRR=7.
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Source Own work
Author Christian Schirm
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Benötigte Open-Source-Software:

Nach der Installation von Python den Quelltext in eine Datei Abbildung.py kopieren und starten durch Doppelklicken oder in der Konsole durch Eingabe von

python Abbildung.py
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 The SVG code is valid.
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 The file size of this SVG plot may be irrationally large because its text has been converted to paths inhibiting translations.
Source code
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Python code

#This source code is public domain 
#Author: Christian Schirm
 
import numpy,scipy, pylab
from scipy import integrate
from matplotlib.font_manager import FontProperties
import matplotlib.pyplot as plt
 
TDebye=396. #Aluminium (Springermaterials)
def J(x): return integrate.quad(lambda z: z**5/((numpy.exp(z)-1)*(1-numpy.exp(-z))), 0, x)[0]
c=5.8075 * 30
def BG(T): return c*(T/TDebye)**5*J(TDebye/T)
R0=5
x=range(1,300)
y=[BG(i)+R0 for i in x]
 
plt.clf()
fig=plt.figure(figsize=(4.5, 3.5))
fig.subplotpars.bottom=0.13
y1=plt.plot(x,y,'r-')
y2=plt.plot([x[0],x[-1]],[R0]*2,'b--')
plt.xlabel(u'Temperatur (K)')
plt.ylabel(u'Widerstand ($\Omega$)')
plt.axis([None,None,0,None])
plt.grid(True)
pylab.text(70,30,r'Elektron-Phonon + Rest', {'rotation': 36, 'color': 'r', 'fontsize': 14})
pylab.text(140,6,r'Rest', { 'color': 'b', 'fontsize': 14})
plt.show()
#plt.savefig('RRR.svg')

Licensing

I, the copyright holder of this work, hereby publish it under the following license:
Creative Commons CC-Zero This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication.
The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.

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19 May 2011

Category:CC-Zero Category:Electrical resistance Category:Metal physics Category:NumPy Category:Path text SVG Category:Self-published work Category:Valid SVG created with Matplotlib code