Einsteins model of a solid help?

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The discussion centers on understanding the Einstein model of a solid in relation to a problem involving a carbon nanoparticle with 6000 carbon atoms. The model describes atoms in a solid as oscillators, where each atom has three degrees of freedom due to its vibrational motion. The confusion arises from calculating the total number of oscillators, with clarification that each atom counts as one oscillator. The participant initially miscalculated by cubing the number of atoms instead of multiplying by three. Ultimately, the correct approach involves recognizing that the number of oscillators equals the number of atoms multiplied by their degrees of freedom.
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Homework Statement



the question I am working on says
A carbon nanoparticle (very small particle) contains 6000 carbon atoms. According to the Einstein model of a solid, how many oscillators are in this block?

im not exactly sure what this model is. i tried looking it up online but really did not have any luck. i got some answers but the all varied.
can someone please let me know what this is or how it relates to this problem

thanks!
 
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Well, in a solid, say with sound waves propagating through it, what's oscillating? That may get you on the right track.
 
sound traveling through solid makes the atoms vibrate. the attems are held togeather by "springs" and depending on the strenght of these "springs" that is how fast the sound travels.
so do i have to cound the "springs" if so how do i determine how many are on each atom??
 
yeah i figured out what i did. i cubed it instead of * by 3
thanks!
 

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