Calculating Microstates and Oscillators in a Collection of Objects

[fball558]

Microstates oscillators??

Homework Statement

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 probably is just an equation I am not seeing in the book, but i can't 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!

 

[hbates3000]

Hey, for part A, use this equation:

number of microstates = (number of quanta + number of oscillators -1)!/(number of quanta!*(number of oscillators-1)! :)

 

[yoyoz41]

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

u can try anyways

 

[hbates3000]

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?

 

[wsmedlin]

that way on yahoo answers worked for me

 

[yoyoz41]

yeap
now I get it
haha hbt problem 6 part b?