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One set among the following sets of quantum numbers, {n, l, m_t, m_s} is erroneo

ID: 970445 • Letter: O

Question

One set among the following sets of quantum numbers, {n, l, m_t, m_s} is erroneous. Which one and why? Identify the sets of four quantum numbers, {n, I, ml, m,}, that are forbidden for an electron in an atom and explain why they are in valid. Which combinations of n and/represent real orbitals and which do not exist? What are the principal and orbital angular momentum quantum numbers for each of the following orbitals? Orbital the principal quantum number, n the orbital angular momentum quantum number How many electrons can occupy the 4p-orbitals? the 3d-orbitals? the ls-orbital? the 4f-orbitals?

Explanation / Answer

1. 3

n      l          ms      s

3    3         2         +1/2

l values always n-1

n=3 l values = 0, 1,2

b. n      l      ms     s

   2     2       -1     +1/2 not possible becuse of n=2    l values 0,1     

   6     6       0       +1/2 not possible because of n=6 l values are 0.1,2,3,4, 5

5     4       +5      +1/2 not possibel because of mS values -l to +l including zero

c   4 . 2d not exist      n = 2 l=0,1 ie s, p orbitals

2   a.    orbital           n                  l

              6p              6                  1

            3d               3                    2

              2p            2                    1

            5f              5                     3

3.    4p6

        3d10

         1s2

         4f14