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Chemistry LibreTexts

Quantum Numbers (Worksheet)

  • Page ID
    20041
  • Name: ______________________________

    Section: _____________________________

    Student ID#:__________________________

    Work in groups on these problems. You should try to answer the questions without referring to your textbook. If you get stuck, try asking another group for help.

    Q1.

    For \(n = 4\), what are the possible values of \(l\)? For \(l = 2\), what are the possible values of \(m_l\)?

    Q2.

    How many possible values for l and ml are there when a) n=3 and b) n=5?

    Q3.

    Give the numerical values of \(n\) and \(l\) corresponding to each of the following designations:

    1. 3p
    2. 2s
    3. 4f
    4. 5d

    Q4.

    Give the values for n, l, and ml for:

    1. Each orbital in the 2p subshell
    2. each orbital in the 5d subshell

    Q5.

    Which of the following represent impossible combinations of n and l:

    1. 1p
    2. 4s
    3. 5f
    4. 2d

    Q6.

    Which of the following are permissible sets of quantum numbers for an electron in a hydrogen atom. For those combinations that are permissible, write the appropriate designation for the subshell to which the orbital belongs (ex. 1s)

    1. [2, 1, 1, +1/2]
    2. [1, 0, ‐1, ‐1/2]
    3. [4, 2, ‐2, +1/2]
    4. [3, 3, 0, ‐1/2]

    Q7.

    What is the maximum number of electrons in an atom that can have the following quantum numbers:

    1. \(n = 2\), \(m_s = ‐1/2\)
    2. \(n=5\), \(l=3\)
    3. \(n= 4\), \(l=3\), \(m_l = ‐3\)
    4. \(n=4\), \(l=1\), \(m_l=1\)

    Q8.

    Write the condensed electron configurations for the following atoms, using the appropriate noble‐gas core abbreviations:

    1. \(Cs\)
    2. \(Ni\)
    3. \(Se\)
    4. \(Cd\)
    5. \(Ac\)
    6. \(Pb\)

    Q9.

    Write the full electron configuration for the following atoms.

    1. \(Ga\)
    2. \(Ca\)
    3. \(V\)
    4. \(I\)
    5. \(Y\)
    6. \(Pt\)
    7. \(Lu\)

    Q10.

    What is wrong with the following electron configurations for atoms in their ground states?

    1. \(1s^22s^23s^1\)
    2. \([Ne]2s^22p^3\)
    3. \([Ne]3s^23d^5\)