Original file(SVG file, nominally 600 × 480 pixels, file size: 30 KB)

Summary

Description
English: Black body curves of Planck for various temperatures and comparison with classical theory of Rayleigh-Jeans.
Italiano: Confronto fra le curve del corpo nero della teoria di Planck e della teoria classica di Rayleigh-Jeans.
Date
Source Own work
Author Darth Kule
Other versions
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Lissajous small.svg
This W3C-unspecified plot was created with Gnuplot.

gnuplot source

set term svg
set termoption enhanced
set encoding utf8
set output 'Black_body.svg'
unset key
set tics nomirror out
set border 3
set xrange [0:6]
set yrange [0:15]
 
set ylabel "Spectral radiance (kW • sr⁻¹ • m⁻² • nm⁻¹)"
set xlabel "Wavelength (μm)"
set label "5000 K" at 0.45,13.1
set label "4000 K" at 0.6,4.55
set label "3000 K" at 0.8,1.4
set label "Classical theory (5000 K)" at 1.55,11
set grid lc rgb "light-blue"
 
# length unit is micrometre
c=3e14 # speed of light
h=6.626e-22 # Planck constant
k=1.38e-11 # Boltzmann constant
 
# Planck curves
p1(x)=1e-6*2*h*c**2/(x**5*(exp(h*c/(x*k*3000))-1))
p2(x)=1e-6*2*h*c**2/(x**5*(exp(h*c/(x*k*4000))-1))
p3(x)=1e-6*2*h*c**2/(x**5*(exp(h*c/(x*k*5000))-1))
p4(x)=1e-6*2*h*c**2/(x**5*(exp(h*c/(x*k*6000))-1))
 
# Rayleigh-Jeans curve
rj(x)=1e-6*2*c*k*5000/(x**4) 
 
plot p1(x) lw 2, p2(x) lw 2, p3(x) lw 2, p4(x) lw 2
plot rj(x) lw 2 lc rgb "black"

Licensing

Public domain I, the copyright holder of this work, release this work into the public domain. This applies worldwide.
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File history

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Date/TimeThumbnailDimensionsUserComment
current17:06, 10 July 2013Thumbnail for version as of 17:06, 10 July 2013600 × 480 (30 KB)CmgleeAdd visible spectrum.
00:18, 11 February 2013Thumbnail for version as of 00:18, 11 February 2013600 × 480 (26 KB)Vaughan Pratt"Spectral radiance" more standard than "Intensity" in ylabel; replaced "arb units" by actual units (kW per sq m per steradian per nm)
10:40, 18 September 2010Thumbnail for version as of 10:40, 18 September 2010600 × 480 (25 KB)UncleDouggieRestore the μ symbol in the axis label that I lost when generating the recent update.
10:03, 18 September 2010Thumbnail for version as of 10:03, 18 September 2010600 × 480 (25 KB)UncleDouggieAdded grid lines to match original PNG file, changed color of classical plot to black as required by existing text in some articles that use the PNG version.
15:58, 5 June 2010Thumbnail for version as of 15:58, 5 June 2010600 × 480 (11 KB)Darth Kulefix mistake
13:09, 5 June 2010Thumbnail for version as of 13:09, 5 June 2010600 × 480 (12 KB)Darth Kule{{Information |Description={{en|1=Black body curves of Planck for various temperatures and comparison with classical theory of Rayleigh-Jeans.}} {{it|1=Confronto fra le curve del corpo nero della teoria di Planck e della teoria classica di Rayleigh-Jeans.

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