The number of oscillators contained in the carbon nanoparticle is therefore: 24,000
Discussion:
Einstein model of solid postulation is as follows;
The model is characterized by an assumption that each atom of the solid vibrates around its position of equilibrium independently of the other atoms (which amounts to neglecting the interactions between particles).
In essence, the interaction between particles is ignored.
Since each atom vibrates in 3 dimensional directions;
The number of oscillators in the carbon nanoparticle containing 8000 carbon atoms is therefore; 3 × 8000 = 24,000 oscillators.
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