Quantum Number Worksheet - Answer Key

 

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  1. Principal Quantum Number

      2.  

    • Is represented by – n

      •  

    • Has values from ranging from – 1 → ∞

      •  

    •  Indicates –  the size and energy level in which the electron is housed. 
      The bigger the n value, the further the electro is from the nucleus.

        •  

      • Degeneracy is when orbitals have the same value of n.

     

     

  2. Angular Momentum Quantum Number

      3.  

    • Is represented by – l

      •  

    • Has values from ranging from – 0 → (n-1)

      •  

    • Indicates – the type of orbital.

        •  

      • l = 0  →  s orbital
      • l = 1  →  p orbital
      • l = 2  →  d orbital
      • l = 3  →  f orbital


  3. Magnetic Quantum Number

      4.  

    • Is represented by – ml

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    • Has values from ranging from – ( –l →+ l)

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    • Indicates – # of orbitals.

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      •  l =0 (the s orbital) → ml =0
        This means that there is only one s-orbital.

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      •  l =1  (the p orbital) → ml = (-1, 0, +1)
        Because there are 3 values of for m        l there would be three p orbitals.

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      • l =2   (the d orbital) → ml = (-2, -1, 0, 1, 2)
        Because there are 5 values for m        l there would be five d orbitals.

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      • l = 3 (the f orbital)  →  ml = (-3, -2, -1, 0, 1, 2, 3)
        Because there are 7 values for  m        l  there would be seven differently orientated f orbitals.

     

     

  4. Spin Quantum Number

      5.  

    • Is represented by – ms

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    • Has values from ranging from – (+½, - ½) 

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    • Indicates – spin of an electron

     

     

  5. What is the Pauli Exclusion Principle?

    Only 2 electrons can be in a particular orbital and they must have opposite spin numbers.

    6.  

     

  6. Which of the following pairing of quantum numbers is invalid, why?

      7.  

    • n=3, l =2, ml =2, ms = ½

      This set of quantum numbers is valid.  All values fit the required parameters.

      •  

    • n=4, l =3, ml =4, ms =- ½

      This set is invalid.  The value of m      l cannot equal 4 if l = 3

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    • n=0, l =0, ml =0, ms = -½

      This is an invalid set of quantum numbers because n cannot equal zero.

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    • n=2, l =-1, ml =1, ms = ½

      This is an invalid set of quantum numbers because       l cannot equal -1. 

     

     

  7. How many electrons can have the following designation?

      8.  

    • 1p – None.

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    • 6dxy – 2

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    • 4f – 14

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    • n=3 – 9

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