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Atomic Electron Configuration and Quantum Numbers

Sep 15, 2025

Overview

This lecture covers atomic electron configuration, sublevels, quantum numbers, orbital filling rules, magnetic properties of elements, and how to interpret and calculate related questions.

Electron Configuration & Sublevels

  • Electron configuration represents how electrons are arranged in an atom's orbitals.
  • Each energy level (n) contains sublevels (s, p, d, f) whose number increases with n.
  • s holds 2 electrons, p holds 6, d holds 10, and f holds 14 electrons.
  • Use the periodic table to determine electron configuration (e.g., fluorine: 1s² 2s² 2p⁵).

Orbital Diagrams & Filling Rules

  • Orbitals are represented by boxes; each can hold 2 electrons with opposite spins.
  • Hund’s Rule: Add electrons to degenerate (same energy) orbitals singly with parallel spins before pairing.
  • Aufbau Principle: Fill the lowest available energy levels first.
  • Pauli Exclusion Principle: No two electrons in an atom can have the same set of four quantum numbers.

Paramagnetism & Diamagnetism

  • Atoms with unpaired electrons are paramagnetic (attracted to magnetic fields).
  • Atoms with all electrons paired are diamagnetic (weakly repelled by magnetic fields).
  • Example: Fluorine is paramagnetic (unpaired electron), phosphide ion is diamagnetic (all paired).

Quantum Numbers

  • Principal quantum number (n): main electron energy level.
  • Angular momentum quantum number (l): sublevel (0=s, 1=p, 2=d, 3=f; l ranges from 0 to n-1).
  • Magnetic quantum number (ml): specifies orbital within sublevel (-l to +l).
  • Spin quantum number (ms): electron spin (+½ or -½).

Identifying Elements & Electron Counts

  • You can identify elements by summing exponents in electron configurations to get atomic numbers.
  • To find paired/unpaired electrons, examine orbital diagrams or subtract unpaired from total electrons.

Valence & Core Electrons

  • Valence electrons are in the highest energy level; core electrons are all others.
  • Groups in the periodic table can be found by adding the exponents in the outer configuration (e.g., ns²np⁵ = Group 7A Halogens).

Maximum Electrons & Orbitals in Energy Levels

  • Maximum electrons per level: 2n²; maximum orbitals: n².
  • Sublevels and their orbitals per level: s(1), p(3), d(5), f(7), etc.

Key Terms & Definitions

  • Aufbau Principle — electrons fill lowest energy orbitals first.
  • Hund’s Rule — electrons occupy equal-energy orbitals singly before pairing.
  • Pauli Exclusion Principle — no two electrons have identical quantum numbers in an atom.
  • Quantum Numbers — set of four numbers (n, l, ml, ms) specifying an electron’s state.
  • Valence Electrons — electrons in the outermost energy level.
  • Paramagnetism — property of materials with unpaired electrons, attracted to magnets.
  • Diamagnetism — property of all electrons paired, weakly repelled by magnets.

Action Items / Next Steps

  • Practice writing electron configurations and orbital diagrams for various elements.
  • Memorize Quantum number constraints and relationships.
  • Solve practice problems on paramagnetism/diamagnetism and quantum numbers.
  • Review periodic table groups and electron configuration patterns.