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Ch.6 - Electronic Structure of Atoms
Brown - Chemistry: The Central Science 15th Edition
Brown15th EditionChemistry: The Central ScienceISBN: 9780137542970Non è quello che usi tu?Cambia libro di testo
Capitolo 6, Problema 71

What is the maximum number of electrons that can occupy each of the following subshells? a. 3p, b. 5d, c. 2s, d. 4f.

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Determine the general formula for the maximum number of electrons in a subshell, which is given by 2(2l + 1), where l is the azimuthal quantum number corresponding to the subshell.
Identify the azimuthal quantum number (l) for each subshell: for s, l = 0; for p, l = 1; for d, l = 2; for f, l = 3.
Calculate the maximum number of electrons for the 3p subshell using l = 1: 2(2*1 + 1).
Calculate the maximum number of electrons for the 5d subshell using l = 2: 2(2*2 + 1).
Calculate the maximum number of electrons for the 2s subshell using l = 0: 2(2*0 + 1) and for the 4f subshell using l = 3: 2(2*3 + 1).

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Electron Configuration

Electron configuration describes the distribution of electrons in an atom's orbitals. Each orbital can hold a specific number of electrons, determined by the Pauli exclusion principle and Hund's rule. Understanding how electrons fill subshells is crucial for determining the maximum occupancy of each subshell.
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Electron Configuration Example

Subshells and Orbitals

Subshells are divisions of electron shells and are designated by the letters s, p, d, and f. Each subshell contains a specific number of orbitals: s has 1, p has 3, d has 5, and f has 7. Each orbital can hold a maximum of 2 electrons, which helps calculate the total number of electrons that can occupy a subshell.
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Molecular Orbital Theory

Maximum Electron Capacity

The maximum number of electrons that can occupy a subshell is determined by the formula 2n², where n is the principal quantum number. For example, the 3p subshell (n=3) can hold a maximum of 6 electrons, while the 5d subshell (n=5) can hold 10 electrons. This principle is essential for answering questions about electron distribution in various subshells.
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