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Microstates oscillators?

  1. Apr 14, 2009 #1

    fball558

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    Microstates oscillators??

    1. The problem statement, all variables and given/known data

    I have no idea where to begin on this problem. but here is what it asks

    Consider an object containing 6 one-dimensional oscillators (this object could represent a model of 2 atoms in an Einstein solid). There are 4 quanta of vibrational energy in the object.

    (a) How many microstates are there, all with the same energy?


    (b) If you examined a collection of 44000 objects of this kind, each containing 4 quanta of energy, about how many of these objects would you expect to find in the microstate 000004?


    there probaly is just an equation im not seeing in the book, but i cant find it so if you could give me some help that would be great. in the mean time i will continue looking in the book.
    thanks all!!
     
    fball558, Apr 14, 2009
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  3. Apr 14, 2009 #2

    hbates3000

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    Re: Microstates oscillators??

    Hey, for part A, use this equation:

    number of microstates = (number of quanta + number of oscillators -1)!/(number of quanta!*(number of oscillators-1)! :)
     
    hbates3000, Apr 14, 2009
  4. Apr 14, 2009 #3

    yoyoz41

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    Re: Microstates oscillators??

    thx a lot now I know how to do part a

    but still not sure abt part b

    there is one formula that post online but I didn't get the right solution

    http://answers.yahoo.com/question/index?qid=20090413191454AApVs7Y [Broken]

    u can try anyways
     
    Last edited by a moderator: May 4, 2017
    yoyoz41, Apr 14, 2009
  5. Apr 14, 2009 #4

    hbates3000

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    Re: Microstates oscillators??

    Awe, THANKS! It worked for me!

    So for part A you should have gotten 126.
    Then for part B you should have gotten 349.21

    Did you try that?
     
    hbates3000, Apr 14, 2009
  6. Apr 14, 2009 #5

    wsmedlin

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    Re: Microstates oscillators??

    that way on yahoo answers worked for me
     
    wsmedlin, Apr 14, 2009
  7. Apr 14, 2009 #6

    yoyoz41

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    Re: Microstates oscillators??

    yeap
    now I get it
    haha hbt problem 6 part b???
     
    yoyoz41, Apr 14, 2009
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