Einstein assumed that the atoms in a dielectric solid behave as isolated harmonic oscillators with quantised...

 

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Einstein assumed that the atoms in a dielectric solid behave as isolated harmonic oscillators with quantised energies, oscillating at the same frequency. From these assumptions show that the heat capacity in a 3D solid is x²e C₁=3NkB (ex-1)² ho where x = and N is the number of atoms. K&T' Also show that in the high temperature limit the Dulong-Petit value is recovered. [ Einstein assumed that the atoms in a dielectric solid behave as isolated harmonic oscillators with quantised energies, oscillating at the same frequency. From these assumptions show that the heat capacity in a 3D solid is x²e C₁=3NkB (ex-1)² ho where x = and N is the number of atoms. K&T' Also show that in the high temperature limit the Dulong-Petit value is recovered. [

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Deriving the Heat Capacity of a 3D Solid based on Einsteins Model Assumptions Atoms in the solid act as independent harmonic oscillators with quantize... View the full answer