Pauli



Consider a hypothetical model of an atom, where the energy of the orbital is a function of 2 quantum numbers 'n' and 'm'. 'n' and 'm' can take only positive values. The definition of E(n,m) (energy as a function of n and m is given).

What is the possible number of electrons with energy E??

Note:
1) These 'n' and 'm' are not the 'n' and 'm' that you know.

19 comments:

  1. Sambhav GuptaFebruary 16, 2011 at 8:19 PM

    is the m in denominator the same as the given quantum number m ?

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  2. AnujFebruary 16, 2011 at 8:28 PM

    sorry...the 'm' in denominator is for mass.

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  3. Sambhav GuptaFebruary 16, 2011 at 9:27 PM

    This comment has been removed by the author.

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  4. Sambhav GuptaFebruary 16, 2011 at 9:28 PM

    sry didn't see the judge

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  5. Sambhav GuptaFebruary 16, 2011 at 9:53 PM

    are 'm' and 'n' the complete set of quantum numbers needed to describe an electron in this atom??

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  6. Sambhav GuptaFebruary 16, 2011 at 9:54 PM

    *atom=atomic model

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  7. AnonymousFebruary 16, 2011 at 10:11 PM

    bhaiya, does this energy function have some significance or is it a hypothetical function?

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  8. AnujFebruary 16, 2011 at 10:19 PM

    yes and yes...

    it has a LOT of significance...wait for first yr at iit.

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  9. AnonymousFebruary 16, 2011 at 10:22 PM

    but still, any hints as to what it is?

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  10. AnujFebruary 16, 2011 at 10:31 PM

    its an electron confined in a rectangular box, sides m and n units..

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  11. Sambhav GuptaFebruary 16, 2011 at 11:00 PM

    This comment has been removed by a blog administrator.

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  12. AnonymousFebruary 17, 2011 at 11:56 AM

    do we have to consider spin quantum no. also. If yes why? because bhaiya you said only these 2 are sufficient to explain the atomic model. Waise I am getting 3.

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  13. ShivankerFebruary 17, 2011 at 8:43 PM

    same doubt..

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  14. AnonymousFebruary 17, 2011 at 8:54 PM

    n and m define an orbital, and not an electron. so ek orbital mein taking 2 electrons, we get 6 i suppose. thats how i did it. is it correct?

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  15. Sambhav GuptaFebruary 17, 2011 at 8:55 PM

    i had the same doubt, and this was his reply
    "n and m describe the orbital...1 orbital means 2 electrons."

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  16. AnujFebruary 17, 2011 at 9:07 PM

    For example:

    In the quantum model for hydrogen atom, the quantum numbers involved are n,l and m.

    's' arises due to the Pauli principle, which incidentally is the title of this problem.

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  17. AnonymousFebruary 17, 2011 at 9:19 PM

    oh! thanks bhaiya.
    but why does pauli's principle hold true? as in any reason for it?

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  18. AnujFebruary 17, 2011 at 9:26 PM

    this discussion is beyond my scope, and yours too.

    my aim was to improve your understanding of degeneracy, quantum numbers and spin. i believe that has been accomplished.

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  19. AnonymousFebruary 17, 2011 at 10:02 PM

    well , our understanding has improved. thanks

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