Consider the hypothetical situation where the azimuthal quantum number, \(l\), takes values 0, 1, 2, ....., n + 1, where n is the principal quantum number. Then, the element with atomic number :
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- 13 has a half-filled valence subshell
- 9 is the first alkali metal
- 8 is the first noble gas
- 6 has a 2p-valence subshell
The Correct Option is A
Solution and Explanation
Filling the lowest shell first: 1s2 (Z = 2), 1p6 (Z = 8), 1d10 (Z = 18), then 2s ...
Z = 13: 1s2 1p6 1d5. The valence subshell 1d (capacity 10) holds 5 electrons, so it is half-filled. (1) is correct.
Z = 9: 1s2 1p6 1d1, valence electron is in d, not s, so it is not an alkali metal.
Z = 8: 1s2 1p6, the 1d subshell is still empty, so it is not a closed-shell noble gas.
Z = 6: 1s2 1p4, the valence subshell is 1p, not 2p.
Answer: (1) 13 has a half-filled valence subshell
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