File:Rrr.svg
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. |
| Date | |
| Source |
Own work |
| Author | Christian Schirm |
| Quellen | Skript zur Bildgenerierung Erzeugungsskript, um die Grafik zu erstellen. |
| Anleitung | 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 |
| SVG development | |
| Source code | 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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Licensing
I, the copyright holder of this work, hereby publish it under the following license:
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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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