The relationships between the quantum numbers we could find the results for which configuration corresponds to excited states are:
c) The 3s electron is excited to the 4s level
d) The 3s electron is excited to the 3p level
The distribution of electrons in atoms must comply with the relationships between quantum numbers, which are discrete values:
- The principal quantum number (n) can go from 1 to infinity
- The orbital quantum number (l) goes from zero to n-1
- Magnetic quantum number (ml) ranges from -l to l
- Spin quantum number has two values + ½ and - ½
The most used nomenclature is to write the state is:
Let's analyze how many electrons fit in each state in the table we have the values
The spin quantum number allows only two electrons in each sublevel ml
State n l ml Total electrons
1s 1 0 0 2
2s 2 0 0 2
2p 2 1 -1.0, + 1 6
3s 3 0 0 2
3p 3 1 -1.0, + 1 6
3d 3 2 -2,-1,0, + 1, + 2 10
Let's apply these rules to each configuration shown
a)
Levels n = 1 and 2 have their maximum number of electrons
At level n = 3 there is an electron and it is the last level. So this atom is in its ground state
b)
Levels 1 and 2 are full
Level 3 has the sublevel s full and the sublevel p has 4 electrons and there are no higher levels, therefore the atom is in its ground state
c) 1s²2s²2p⁶ 3s¹ 3p⁶ 3d¹⁰ 4s²
Levels 1 and 2 are full
Level 3 has sublevel s with one electron not full
Sublevel p has 6 electrons its maximum
sublevel d has 10 electrons its axiom
The last level has 2 electrons, one of the configuration of the atom and others that have been excited since the coming 3s
Consequently this configuration corresponds to an excited state
d) 1s² 2s²2p⁶ 3s 3p⁶
Levels 1 and 2 are full
Level 3 sub-level s has one electron
The subvening p has 6 electrons
As the sublevel s is incomplete, one of its electrons must have been excited to the sublevel 3p
Consequently this excited state.
In conclusion, using the relationships between the quantum numbers, we were able to find the results for which configuration corresponds to excited states are:
c) The 3s electron is excited to the 4s level
d) The 3s electron is excited to the 3p level
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