ELECTRONIC-CONFIG.QUANTUM-NUMBERS_students

Course Overview

  • Topic: Electron Configuration & Quantum Numbers

  • Instructor: Teacher Mitz

Objectives

  • Write the electron configuration of elements.

  • Describe the Aufbau principle.

  • Determine different quantum numbers.

Review of Quantum Mechanics

Activity 1.2: Scientist Contributions

  1. Niels Bohr - B: Electrons found in definite orbits around the nucleus.

  2. Louis de Broglie - D: Electrons are both particles and waves.

  3. Erwin Schrödinger - A: Mathematical wave equation for hydrogen atom.

  4. Karl Werner Heisenberg - C: Uncertainty principle regarding position and momentum of electrons.

Quantum Mechanical Model

  • Derives from Schrödinger's equation solution.

  • Probability of finding an electron is highest in darker areas as shown in figures.

  • Describes electrons in shells (principal energy levels), which include sublevels: s, p, d, f, g.

Principal Quantum Numbers

  • Principal quantum number (n) indicates the energy level.

  • Max electrons in a level: 2n².

Orbitals

  • Specific energy values and shapes:

    • s orbitals: Spherical

    • p orbitals: Dumbbell-shaped (px, py, pz)

Electron Configuration

  • Distribution arrangement of electrons in orbitals.

  • Electrons fill from lower to higher energy levels.

Principles Governing Electron Configuration

Aufbau Principle

  • Electrons fill available orbitals from low to high energy.

  • All electrons in ground state occupy the lowest energy levels.

Hund’s Rule

  • Electrons occupy orbitals singly before pairing up.

  • Applies to subshells: 1s, 2s, 2p, etc.

Pauli Exclusion Principle

  • Electrons in the same orbital must have opposite spins.

  • No two electrons can share identical quantum numbers.

Magnetism in Atoms

Paramagnetism

  • Atoms with unpaired electrons are attracted to magnets.

Diamagnetism

  • Atoms with all paired electrons are repelled by magnets.

Quantum Numbers

Principal Quantum Number (n)

  • Refers to the energy level (n = 1-7).

Azimuthal Quantum Number (l)

  • Defines sublevel shape:

    • 0 = s, 1 = p, 2 = d, 3 = f.

Magnetic Quantum Number (m_l)

  • Describes orientation of orbitals in space.

Spin Quantum Number (m_s)

  • Indicates electron spin: +1/2 or -1/2.

Examples and Practice

  • Identify quantum numbers for:

    1. Aluminum

    2. Rubidium

    3. Xenon