Atom Temperature: Kinetic Energy of Subatomic Particles?

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Temperature in a monatomic gas reflects the kinetic energy of individual atoms, but defining temperature for an atom based on its subatomic particles is problematic. Temperature is fundamentally a property of bulk matter on a macroscale, rooted in statistical mechanics, and cannot be applied to individual atoms. The energies of subatomic particles, such as nucleons and electrons, are governed by quantum mechanics, resulting in discrete energy levels rather than a continuous energy spectrum. This distinction contributes to the failure of the equipartition theorem at the atomic level. Overall, the concept of temperature does not extend to individual atoms due to these quantum mechanical constraints.
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for a monatomic gas the temperature can be described as the sum of kinetic energy of the individual atoms. but what i wonder is can an atom have it's own temperature, defined as the sum of the kinetic energy of the sub atomic particles which make it?
 
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Good question. You could possibly define an analogous quantity if you wanted; but as far as I'm aware, temperature by definition is a property of bulk particles on the macroscale.
 
Temperature is a state variable, and it comes from statistical mechanics. As such, the temperature of an individual atom cannot be defined. If I'm not mistaken, the failure to define temperature at the atomic scale actually has to do with why the equipartition theorem fails at the atomic level.
 
nolanp2 said:
for a monatomic gas the temperature can be described as the sum of kinetic energy of the individual atoms. but what i wonder is can an atom have it's own temperature, defined as the sum of the kinetic energy of the sub atomic particles which make it?
The problem is that the energies of the nucleons in the nucleus and of the electrons around the nucleus, are subject to quantum mechanical laws. They have discrete energies rather than random energies. It is not analagous to a large collection of molecules moving randomly with a continuous energy spectrum over a broad range.

AM
 
i see, sounds like the details are above my head for the moment. thanks for the replies
 
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