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Energy distribution of atoms in metal. 
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#1
Mar2813, 07:04 AM

P: 1

An ideal gas obeys Maxwell Boltzman statistics. Gas atoms
have an average kinetic energy of 3kT/2 but the individual atoms have energies that vary from this average (Chi square distributed). A solid (metal) has an average kinetic energy of about 3kT. Does anybody know what statistical distribution the energy of individual atoms of the metal obey? 


#2
Mar2813, 03:48 PM

P: 615

If you want to really know more about this kind of thing, statistical mechanics is the topic you want to look into. 


#3
Mar2813, 03:57 PM

Sci Advisor
P: 3,564

After some scaling of the variables, the energy is a sum of six squares:
##E=x^2+y^2+z^2+p_x^2+p_y^2+p_z^2##, hence E has also a chisquare distribution but not with 3 but 6 degrees of freedom. 


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