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29 July, 11:31

Identify which sets of Quantum Numbers are valid for an electron. Each set is ordered (n,ℓ, mℓ, ms).

3,2,0,1/2

2,2,-1, 1/2

4,3,-4,1/2

1,0,0,1/2

2,2,1,-1/2

3,2,1,1

0,1,1,-1/2

3,3,1,1/2

2,-2,-2,-1/2

3,2,2,1/2

4,2,1,1/2

2,1,-1,-1/2

+1
Answers (1)
  1. 29 July, 13:36
    0
    If the choices are:

    a.) 1,3.0,1/2

    b.) 3,2,-1,-1/2

    c.) 1,0,0,-1/2

    d.) 2,1,1,1/2

    e.) 2,-2,-2,-1/2

    f.) 3,2,0,1/2

    g.) 0,2,0,1/2

    h.) 2,2,1,1/2

    i.) 3,3,-2,-1/2

    j.) 4,3,3,-1/2

    k.) 4,3,4,-1/2

    l.) 3,2,1,1

    The "rules" for the quantum numbers are:

    * n is the energy shell: n = 1, 2, ...

    * ℓ is the subshell, the orbital: ℓ = 0, 1, ... n - 1 (s, p, d etc.)

    * mℓ is the specific orbital: mℓ = 0, ±1, ... ±ℓ

    * ms is the electron spin: ms = ±½

    (n, ℓ, mℓ, ms)

    a.) Invalid, ℓ can not be greater than n - 1.

    b.) Valid

    c.) Valid

    d.) Valid

    e.) Invalid, ℓ can not be negative

    f.) Valid

    g.) Invalid, n can not be 0, ℓ can not be greater than n - 1

    h.) Invalid, ℓ can not be greater than n - 1

    i.) Invalid, ℓ can not be greater than n - 1

    j.) Valid

    k.) Invalid, mℓ can not be greater than ℓ

    l.) Invalid, ms can not be 1
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