which of the following set of quantum numbers (ordered n,l,ml,ms) are possible for an electron in an atom?

NetherCraft 0

-3,2,2,-1/2

4,3,-4,-1/2

5,3,0,1/2

2,1,0,1

2,2,2,1/2

4,2,-2,1/2

3,2,2,-1/2

2,1,3,1/2

3 Answers

  • The answer to your question is determined by using the definitions of the 4 quantum numbers.

    n = 1, 2, 3, …, n

    l = 0 to n − 1 >> This includes all possible values up to n-1.

    ml = all values from -l to +l >> example if l = 2 them ml = -2, -1, 0, +1, +2

    ms = +1/2 and -1/2

    -3,2,2,-1/2 >> not possible because n cannot be negative.

    4,3,-4,-1/2 >> not possible because ml must be from -3 to +3 by definition.

    5,3,0,1/2 >> This is possible according to all of the definitions.

    2,1,0,1 >> This is not possible because ms can equal only +1/2 and -1/2

    2,2,2,1/2 >> This is not possible. l cannot equal n.

    4,2,-2,1/2 >> This is a possible configuration.

    3,2,2,-1/2 >> This is a possible configuration.

    2,1,3,1/2 >> This is not possible. ml cannot be greater than n or l.

    Hope this is helpful to you. JIL HIR

  • Possible Sets Of Quantum Numbers

  • yes 3, 2, 2, -1/2

    yes 5, 3, 0, 1/2

    4, 3, -4, -1/2

    2, 4, 1, -1/2

    -2, 1, 0, -1/2

    yes 3, 1, 0, -1/2

    2, 1, 0, -1

    2, 1, 3, 1/2

    the rest are no unless it says yes

    Source(s): MC

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