(a) Write out the electronic configuration for the ground...

(a) Write out the electronic configuration for the ground state of oxygen $(Z=8) .$ (b) Write out a set of possible values for the quantum numbers $n, \ell, m_{\ell},$ and $m_{s}$ for each electron in oxygen.

Key Concepts

Electronic Configuration

Electronic configuration describes how electrons are distributed among the various orbitals in an atom. It provides a systematic way to understand an element's structure by showing which atomic subshells are occupied, keeping in mind principles such as energy minimization and orbital order of filling.

Quantum Numbers

Quantum numbers are a set of numerical values (n, l, m?, and m?) that describe the unique quantum state of an electron in an atom. The principal quantum number (n) indicates the electron's energy level, the angular momentum quantum number (l) defines the orbital shape, the magnetic quantum number (m?) determines the orbital's orientation, and the spin quantum number (m?) describes the direction of the electron's intrinsic spin.

Pauli Exclusion Principle

The Pauli Exclusion Principle is a fundamental rule in quantum mechanics stating that no two electrons in an atom can share the same set of four quantum numbers. This ensures electrons occupy different energy states and is key to understanding the structure and stability of atoms.

Orbital Filling and the Aufbau Principle

The orbital filling, guided by the Aufbau Principle, details how electrons are added to orbitals in order of increasing energy. It explains the sequential occupation of orbitals, ensuring that electrons fill lower-energy levels before moving to higher ones, thus determining the structure of the electronic configuration.

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