Based on the Pauli exclusion principle, which electron subshell configurations cannot exist?3s 2p⁷6d
4f¹⁴

Question

Based on the Pauli exclusion principle, which electron subshell configurations cannot exist?3s 2p⁷6d 4f¹⁴

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11ecba2d_1212_33c4_a3bf_990264510291_MD0008_00 An electron configuration sequentially lists the placement of all electrons within the shells and subshells of an atom or ion in order of increasing energy, according to the Aufbau principle. Subshells are labeled by type (s, p, d, f), which indicates the kind of orbitals present within the subshell. Accordingly, an s subshell contains one s orbital, a p subshell contains three p orbitals, a d subshell contains five d orbitals, and an f subshell contains seven f orbitals. The Pauli exclusion principle states that each orbital within a subshell can hold a maximum of two electrons, but two electrons in the same orbital must have opposite spins. Therefore, s, p, d, and f subshells can hold a maximum of 2, 6, 10, and 14 electrons, respectively. In schematic diagrams, orbitals are often represented by blanks or boxes, and electrons are represented by arrows. The spin of each electron is indicated by the orientation of the arrow (up or down). Accordingly, a subshell represented as 3s 11ecba2d_1212_33c5_a3bf_bff5832e154d_MD0008_00 (Number I) cannot exist because the electrons in the s orbital have the same spin. Likewise, a subshell indicated by 2p⁷ (Number II) also cannot exist because a p subshell holds a maximum of 6 electrons (two electrons in each of the three p orbitals). (Number III) 6d 11ecba2d_1212_5ad6_a3bf_7f2a195ccab7_MD0008_00 is a valid subshell configuration. A d subshell contains five d orbitals of equal energy that together can accommodate up to 10 electrons. Because the d orbitals are equivalent in energy, paired electrons of opposite spin can be placed in any of the five orbitals without distinction. (Number IV) 4f¹⁴ is a correct subshell configuration. An f subshell contains seven f orbitals of equal energy that together can accommodate up to 14 electrons in total. Educational objective: In an electron configuration, subshells are labeled by type as s, p, d, or f, which contain one s orbital, three p orbitals, five d orbitals, and seven f orbitals, respectively. According to the Pauli exclusion principle, each orbital within a subshell can hold a maximum of two electrons, but two electrons in the same orbital must have opposite spins.

Based on the Pauli Exclusion Principle, Which Electron Subshell Configurations