Einsteins model of a solid help?

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Homework Help Overview

The discussion revolves around the Einstein model of a solid, specifically in the context of calculating the number of oscillators in a carbon nanoparticle containing 6000 carbon atoms.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the concept of oscillators in solids, questioning what constitutes an oscillator and how to relate the model to the problem at hand. There is a discussion about the nature of atomic vibrations and the role of "springs" in this context.

Discussion Status

Some participants have provided insights into the relationship between atomic vibrations and oscillators, while others have clarified the degrees of freedom associated with each atom. There is an acknowledgment of a miscalculation by one participant, indicating a progression in understanding.

Contextual Notes

Participants express uncertainty about the Einstein model and its application to the problem, indicating a need for further clarification on the definitions and assumptions involved.

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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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