Equipartitioning theorem

Every degree of freedom gets E=1/2·k_BT
where k is is the Boltzmann constant of 1.380649×10⁻²³ J⋅K⁻¹

This often is a crude approximation to the point of being way off.

Limited applicability to diamond

Applied to solids it gives the Dulong Petit law
which diamond quite severely deviates from.
Even at room temperature.

There are existing plots though.
(wiki-TODO: Add the plot for diamond compared to metals.)

Questionable applicability to crystolecules

While it is very tempting to use this energy due to its simplicity,
it is highly questionable if it is applicable to things like …

• mechanical excitation modes in crystolecules (relevanft for e.g. an accidental heatpump dissipation mechanism)
• rigid body energy of free floating crystolecules ( usually a high energy event will be needed to get free floating ones)
• superlubrically 1D 0r 2D slide diffusing crystolecules till they tit a corner that catches them permanently

Related

• 1D diffusion transport of crystolecules
• Reciprocative dissipation mechanisms in gem-gum technology
• Accidental heatpump

Baclinks

• Machine phase
• Assembly level 2 (gem-gum factory)
• The limits of cooling

External links

• https://en.wikipedia.org/wiki/Equipartition_theorem
• https://en.wikipedia.org/wiki/Dulong%E2%80%93Petit_law
• https://en.wikipedia.org/wiki/Boltzmann_constant

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• https://web.uni-miskolc.hu/~www_fiz/KovacsE/Molar%20Heat%20of%20Solids.pdf