Image:Maxwell-Boltzmann distribution 1.png

[edit] Summary

Maxwell-Boltzmann distribution for oxygen. Gnuplot script:

#Gnuplot script for Maxwell-Boltzman distribution
#There is 1 mln particles of oxygen in three temperatures (T1,T2,T3)
#output set to EPS file with color, line weight: 2 font: Arial, font size: 20
set term postscript eps enhanced color lw 2 "Arial" 20
#set name for file
set output "Maxwell-Boltzmann_distribution_1.eps"
#grid on
set grid
#Boltzmann constatn [J/K]
k=1.380658E-23 
#Avogadro number [1/mol]
Na=6.02214199E+23 
#Mole mass of oxygen (kg/mol)
M=0.032
#conversion factor
C=273.15
#temperature [K]
T1=-100+273.15
T2=20+273.15
T3=600+273.15
#mass of particle
m=M/Na
#number of particles
N=1000000
#range 0 to 1500 m/s
set xrange [0:1500]
#number of particles 
set ylabel "n"
#speed of particles
set xlabel "v [m/s]"
#ploting graph (x^2 -> x**2)
plot 4*pi*(m/(2*pi*k*T1))**(1.5)*x**2*exp(-(m*x**2)/(2*k*T1))*N title "-100",\
4*pi*(m/(2*pi*k*T2))**(1.5)*x**2*exp(-(m*x**2)/(2*k*T2))*N title "20",\
4*pi*(m/(2*pi*k*T3))**(1.5)*x**2*exp(-(m*x**2)/(2*k*T3))*N title "600"

Postprocessing in GIMP: 300 DPI, white color converted to alpha

[edit] Licensing

Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation license, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled "GNU Free Documentation license". Aragonés | العربية | Asturianu | Български | বাংলা | ইমার ঠার/বিষ্ণুপ্রিয়া মণিপুরী | Brezhoneg | Bosanski | Català | Cebuano | Česky | Dansk | Deutsch | Ελληνικά | English | Esperanto | Español | Eesti | Euskara | فارسی | Suomi | Français | Gaeilge | Galego | עברית | Hrvatski | Magyar | Bahasa Indonesia | Ido | Íslenska | Italiano | 日本語 | ქართული | ភាសាខ្មែរ | 한국어 | Kurdî / كوردی | Latina | Lëtzebuergesch | Lietuvių | Bahasa Melayu | Nnapulitano | Nederlands | ‪Norsk (nynorsk)‬ | ‪Norsk (bokmål)‬ | Occitan | Polski | Português | Română | Русский | Slovenčina | Slovenščina | Shqip | Српски / Srpski | Svenska | తెలుగు | ไทย | Türkçe | Українська | اردو | Tiếng Việt | Volapük | Yorùbá | ‪中文(中国大陆)‬ | ‪中文(台灣)‬ | +/-

• Maxwell–Boltzmann statistics