File:Rrr.svg

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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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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')

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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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Date/TimeThumbnailDimensionsUserComment
current20:14, 18 July 2011Thumbnail for version as of 20:14, 18 July 2011373 × 263 (42 KB)PhysikingerC (talk | contribs)+Rest
20:10, 19 May 2011Thumbnail for version as of 20:10, 19 May 2011339 × 235 (41 KB)PhysikingerC (talk | contribs)Beschreibungs-Text
19:35, 19 May 2011Thumbnail for version as of 19:35, 19 May 2011315 × 233 (38 KB)PhysikingerC (talk | contribs){{Information |Description ={{en|1=Temperatur dependance of resistance in metals. Calculated by the Bloch-Grüneisen-Law. Here, the residual resistance ratio is RRR=7.}} {{de|1=Temperaturabhängigkeit des elektrischen Widerstandes in Metallen. Berechne

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