What are quantum numbers?

1 Answer

Quantum numbers can be used to describe the quantum state of an electron.

Explanation:

Quantum numbers can be used to describe the quantum state of an electron.

There are four quantum numbers for atoms:

  1. #n = 1, 2, 3, . . . # - principal quantum number; describes the energy level.

  2. #l = 0, 1, 2, . . . , n - 1# - angular momentum quantum number; describes the shape of the orbital.
    #0 harr s, 1 harr p, 2 harr d, 3 harr f, . . . #, etc. The ordering is #s,p,d,f,g,h,i,k, . . . #.

  3. #m_l = {-l, -l+1, . . . , 0, . . . , l-1, l}# - magnetic quantum number; corresponds to each unique orbital in the sublevel specified by #l#, and there are #2l+1# such values.

  4. #m_s = pm1/2# - spin quantum number; describes the spin (up/down)

A given orbital is labeled as an #nl# orbital:

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